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BEGIN:VEVENT
SUMMARY:Hanaa M. Zayed (Menoufeya University)
DTSTART:20201109T150000Z
DTEND:20201109T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/1/">Subordination and superordination preserving properties for fami
 lies of integral operators for meromorphic functions</a>\nby Hanaa M. Zaye
 d (Menoufeya University) as part of سمينار التحليل الريا
 ضي وتطبيقاته\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sahar Hamdy (Beni Suef University)
DTSTART:20201116T150000Z
DTEND:20201116T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/2/">Generalization of q-Bernoulli polynomials generated by Jackson q
 -Bessel functions</a>\nby Sahar Hamdy (Beni Suef University) as part of س
 مينار التحليل الرياضي وتطبيقاته\n\nAbstract: T
 BA\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gamila El Sayed (Suez University)
DTSTART:20201123T150000Z
DTEND:20201123T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/3/">New indefinite q-integral equations from a method using q-Riccat
 i equations</a>\nby Gamila El Sayed (Suez University) as part of سمين
 ار التحليل الرياضي وتطبيقاته\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmed Moustafa (Western Sydney University)
DTSTART:20201130T080000Z
DTEND:20201130T090000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/4/">The Computational and Cognitive Neuropsychology of Parkinson’s
  Disease</a>\nby Ahmed Moustafa (Western Sydney University) as part of س
 مينار التحليل الرياضي وتطبيقاته\n\nAbstract: T
 BA\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mourad Ismail (University of Central Florida)
DTSTART:20201207T150000Z
DTEND:20201207T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/5/">Fractional Integrals and semigroups and their q-analogues (I)</a
 >\nby Mourad Ismail (University of Central Florida) as part of سمينا
 ر التحليل الرياضي وتطبيقاته\n\n\nAbstract\nTitle :
  Overview of fractional calculus and semigroups.\n\nAbstract : We give an 
 overview of the classical fractional calculus and their applications. The 
 theory of semigroups is central to our treatment.\n\nThis talk will be in 
 English.\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mourad Ismail (University of Central Florida)
DTSTART:20201214T150000Z
DTEND:20201214T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/6/">Fractional Integrals and semigroups and their q-analogues (II)</
 a>\nby Mourad Ismail (University of Central Florida) as part of سمينا
 ر التحليل الرياضي وتطبيقاته\n\n\nAbstract\nIn the 
 second lecture\, we introduce three one parameter semigroups of operators 
 and determine their spectra. Two of them are fractional integrals associat
 ed with the Askey--Wilson  operator. We also study these families  as fami
 lies of positive linear approximation operators. Applications include conn
 ection relations and bilinear formulas for the Askey--Wilson  polynomials.
  We also introduce a q-Gauss--Weierstrass transform and prove a representa
 tion and inversion theorem for it.\n\nThis lecture is in English.\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tarek Sayed-Ahmed (Cairo University)
DTSTART:20201221T150000Z
DTEND:20201221T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/7/">Applications of the Baire Category Theorem in Logic and Set theo
 ry</a>\nby Tarek Sayed-Ahmed (Cairo University) as part of سمينار ا
 لتحليل الرياضي وتطبيقاته\n\n\nAbstract\nLet 2 < n < 
 ω. We study omitting types theorems (OTTs) for Ln\, which is first order 
 logic restricted to the first n variables. Our positive results concerning
  OTTs in Ln that allow quantifier elimination depend on a result of Shelah
 ’s in Classification (Stability) Theory. We obtain\, using a famous Theo
 rem of Burgess from Descriptive Set Theory\, the same possibilities in Mor
 ley’s Theorem\, the best known general result to the still unsettled Vau
 ght’s conjecture\, namely\, ≤  ℵ0 or ℵ1 or 2^{ℵ0}. \n\nAn exampl
 e is given for an unstable countable atomic theory T having continuum many
  models but only one model omitting a countable given family of non-princi
 pal types\, namely the atomic countable model. We use extensively the Bair
 e Category Theorem in Polish spaces and another equally famous theorem fro
 m Descriptive Set Theory on the hierarchy of analytic sets in R. We show t
 hat Martin’s axiom restricted to countable Boolean algebras is equivalen
 t (in ZF which is ZFC without choice) to the celebrated Baire Category The
 orem for Polish spaces\, when we replace "countable union" by "less than 2
 ^{ℵ0}"\; deducing the independency of a form of the Baire Category Theor
 em from ZFC.\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Seham El Mekhlafi (Cairo University)
DTSTART:20201228T150000Z
DTEND:20201228T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/8/">Optimal Control for Fractional Order Epidemic Mathematical Model
 s: Numerical Approach</a>\nby Seham El Mekhlafi (Cairo University) as part
  of سمينار التحليل الرياضي وتطبيقاته\n\n\nAbs
 tract\nRecently\, the mathematical models can be considered as a successfu
 lly powerful tool to simulate dynamics of the spread and control the infec
 tious diseases . Also\, the fractional order models are more suitable to d
 escribe the biological phenomena with memory than integer order models. In
  this talk\, a novel mathematical model for Malaria disease of fractional 
 order with modified parameters is presented. The fractional derivative is 
 defined in the Atangana-Baleanu-Caputo sense. The suggested model is ruled
  by fourteen nonlinear fractional order differential equations. The optima
 l control of the suggested model is the main objective of this talk. Two c
 ontrol variables are presented in this model to minimize the number of inf
 ected population. Necessary control conditions are derived. Two schemes ar
 e constructed to simulate the proposed optimal control system. In order to
  validate the theoretical results numerical simulations and comparative st
 udies are given.\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joao Morais (ITAM)
DTSTART:20210104T150000Z
DTEND:20210104T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/9/">A Bloch-type theorem for monogenic quaternion-valued functions</
 a>\nby Joao Morais (ITAM) as part of سمينار التحليل الري
 اضي وتطبيقاته\n\n\nAbstract\nBloch's (1924) classical theorem 
 asserts that if $f$ is a holomorphic function on a region that contains th
 e closed unit disk $|z| \\leq 1$ such that $f(0) = 0$ and $|f'(0)| = 1$\, 
 then the image domain contains discs of radius $\\frac{3}{2}-\\sqrt{2} > \
 \frac{1}{12}$. The optimal value is known as Bloch's constant and $\\frac{
 1}{12}$ is not the best possible. In this talk\, we give a generalization 
 of Bloch's theorem to the three-dimensional Euclidean space in the framewo
 rk of quaternion analysis. We compute explicitly a lower bound for the Blo
 ch constant.\n\nThis talk is in English.\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tarek Elgindi (Duke University)
DTSTART:20210111T150000Z
DTEND:20210111T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/10/">Remarks on the 2d Euler equation</a>\nby Tarek Elgindi (Duke Un
 iversity) as part of سمينار التحليل الرياضي وتطبي
 قاته\n\n\nAbstract\nThe Euler equation is a classical partial differen
 tial equation modelling ideal fluids. It is also one of the first PDE's ev
 er written. Despite this\, the dynamics of solutions still remains elusive
 . I will give some introductory remarks about stationary solutions to the 
 2D Euler equation.\n\n(This talk is in English)\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Carneiro (ICTP)
DTSTART:20210118T150000Z
DTEND:20210118T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/11/">Fourier optimization and number theory</a>\nby Emanuel Carneiro
  (ICTP) as part of سمينار التحليل الرياضي وتطبيق
 اته\n\n\nAbstract\nThis is a talk about three problems in the interface
  of harmonic analysis and analytic number theory\, having the Riemann hypo
 thesis in the background. It is going to be a light conversation\, accessi
 ble to a broad audience.\n\n(This talk is in English).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Omar Mohsen (University of Münster)
DTSTART:20210125T150000Z
DTEND:20210125T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/12/">New class of hypoelliptic differential operators</a>\nby Omar M
 ohsen (University of Münster) as part of سمينار التحليل ال
 رياضي وتطبيقاته\n\n\nAbstract\nA hypoelliptic differential o
 perator is a differential operator whose abstract distributional solutions
  are necessarily smooth. I will start with a brief introduction of hypoell
 iptic operators and the various methods to ensure hypoellipticity. Then I 
 will present a new criterion which ensures hypoellipticity which generaliz
 es previous criteria by many authors. The starting point is Hormander's su
 m of squares theorem and Folland and Stein's idea to equip differential op
 erators with an ordering different from the stand ordering. This is based 
 on joint work with Androulidakis\, Van-Erp\, Yuncken.\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kathy Driver (University of Cape Town)
DTSTART:20210201T150000Z
DTEND:20210201T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/13/">Roots of Laguerre polynomials</a>\nby Kathy Driver (University 
 of Cape Town) as part of سمينار التحليل الرياضي وتط
 بيقاته\n\n\nAbstract\nThe Fundamental Theorem of Algebra (1608-1806)
  states that every non-zero\, single-variable\, degree $n$  polynomial wit
 h complex coefficients has\, counted with multiplicity\, exactly n complex
  roots.  The properties (location\, multiplicity\,...)  of the  roots of "
 classical" orthogonal polynomials (solutions of important second order dif
 ferential equations) have been extensively studied and have important prop
 erties. The roots of orthogonal polynomials are real and distinct (simple)
  and lie in the interval of orthogonality. Further\, the roots of polynomi
 als of consecutive degree $n$ and $n-1$ in any orthogonal sequence $\\{p_{
 n}(x)\\}_{n=0}^{\\infty}\,$  deg $p_n = n\,$ are interlacing in the sense 
 that exactly one root of $p_{n-1}(x)$ lies between each pair of consecutiv
 e roots of $p_{n}(x)$ for each $n \\in \\mathbb{N}\,$ $n \\geq 2.$  This c
 lassical result (Chebyshev\, Markov\, Stieltjes)  plays an important role 
 in Gauss quadrature.   \n\n\nThe sequence of Laguerre polynomials $\\{L_{n
 }^{(\\alpha)}(x)\\}_{n=0}^{\\infty}\,$ $\\alpha > -1\,$  is orthogonal on 
 $(0\,\\infty)$ with respect to the weight function $ e^{-x} x^{\\alpha}.$ 
  It is known (D-Muldoon 2014) that for each $n \\in \\mathbb{N}\,$ the roo
 ts of $L_{n}^{(\\alpha)}(x)$ and  $L_{n-1}^{(\\alpha +t)}(x)\,$  are inter
 lacing for $0 \\leq t \\leq 2$ and the $t-$ interval  $0 < t \\leq 2$ is s
 harp in order for interlacing to hold for every $ n \\in \\mathbb{N}.$   U
 sing a sharp interlacing result due to Palmai for zeros of Bessel function
 s\,  it was proved in  (D-Muldoon 2020) that\, for each $n \\in \\mathbb{N
 }\,$ the roots of the equal degree Laguerre polynomials $L_{n}^{(\\alpha)}
 (x)$ and  $L_{n}^{(\\alpha +t)}(x)$ are interlacing for each $t$ with $0 <
  t \\leq 2$ and the $t-$ interval  $0 < t \\leq 2$ is sharp in order for i
 nterlacing to hold for every $n \\in \\mathbb{N}.$ \n\nHere\, we consider 
 the simplest cases of a question raised by Alan Sokal at OPSFA 2019: What 
 can we say about the interlacing of roots of the Laguerre  polynomials $L_
 {n}^{(\\alpha)}(x)$ and $L_{n+1}^{(\\alpha +1)}(x)$ where $\\alpha >-1?$ W
 e also prove that there is partial  (sometimes full)  interlacing of roots
  of  $L_{n}^{(\\alpha)}(x)$ and  $ L_{n}^{(\\alpha +3)}(x)\,$ $\\alpha >-1
 .$\n\nThis is joint work with Jorge Arvesu Carballo and Lance Littlejohn.\
 n\n(This talk is in English).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mostafa Sabri (Cairo University)
DTSTART:20210208T150000Z
DTEND:20210208T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/14/">Dispersion for Schrödinger Operators on Regular Trees</a>\nby 
 Mostafa Sabri (Cairo University) as part of سمينار التحليل ا
 لرياضي وتطبيقاته\n\n\nAbstract\nThis talk is intended as a 
 general lecture for nonspecialists\, concerning some aspects of the dynami
 cs of the Schrödinger semigroup $\\exp( itH)$ when the time $t$ gets larg
 e. We will first review some general results like the RAGE theorem. Then w
 e shall narrow the discussion down to the dispersive estimates. We will il
 lustrate some basic examples\, before introducing the two models we are in
 terested in. Namely\, the adjacency matrix on the infinite regular tree\, 
 and the "periodic" Schrödinger operator on the infinite regular "quantum 
 tree" or "metric tree" - namely we now deal with 1d differential operators
  on the edges. The latter model can be regarded as an extension of the cas
 e of periodic Schrödinger operators on the real line. In both cases we ob
 tain a sharp dispersive decay as $t^{-3/2}$. \n\nBased on joint work with 
 Kaïs Ammari.\n\n(This talk is in English).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erik Koelink (Radboud Universiteit)
DTSTART:20210215T150000Z
DTEND:20210215T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/15/">Matrix valued special functions from group representations</a>\
 nby Erik Koelink (Radboud Universiteit) as part of سمينار التحل
 يل الرياضي وتطبيقاته\n\n\nAbstract\nThere is an intimate
  connection between special functions and group representations. For compa
 ct groups this relates often to orthogonal polynomials. In this presentati
 on we start by recalling results on spherical functions for so-called Gelf
 and pairs in connection to orthogonal polynomials.\nThis concept is then e
 xtended to matrix valued spherical functions\, which give rise to matrix v
 alued orthogonal polynomials in several variables. The talk will be introd
 uctory and focusing on an explicit example related to the compact group $S
 U(n+1)$ of unitary matrices of determinant $1$.\nMost of the work describe
 d is joint with Maarten van Pruijssen en Pablo Román.\n\n(This talk is in
  English).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Youssef Abdelaziz (PhD from LPTMC - Sorbonne Université)
DTSTART:20210222T150000Z
DTEND:20210222T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/16/">Christol's conjecture: between theory and mathematical practice
 </a>\nby Youssef Abdelaziz (PhD from LPTMC - Sorbonne Université) as part
  of سمينار التحليل الرياضي وتطبيقاته\n\n\nAbs
 tract\nChristol's conjecture has been open since the late 80's. Christol's
  conjecture states that every D-Finite series (i.e. solution of a linear h
 omogeneous differential equation with polynomial coefficients)\, is the di
 agonal of a rational function. Gilles Christol himself\, and other authors
 \, came up with a list of potential counter-examples to this conjecture. T
 he fate of these potential counter-examples remained unknown for more than
  thirty years. I will discuss recent progress on this problem\, and compar
 e it to an earlier attempt to approach the problem that proved unsuccessfu
 l.\n\n(Talk's language as the audience wishes).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmed Zayed (DePaul University)
DTSTART:20210301T160000Z
DTEND:20210301T170000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/17/">Fractional Transforms and their Applications</a>\nby Ahmed Zaye
 d (DePaul University) as part of سمينار التحليل الرياض
 ي وتطبيقاته\n\n\nAbstract\nFractional calculus has a long histor
 y that goes back to the 17 th century. In contrast\, the theory of fractio
 nal operators and fractional integral transforms has a relatively short hi
 story that may be counted by decades rather than by centuries. The advent 
 of the fractional Fourier transform about 50 years ago\, a transform that 
 has proved to have several physical applications\, opened the gates for th
 e introduction of many other fractional transforms\, such as fractional wa
 velets\, fractional Gabor\, and fractional Radon transforms\, etc. In this
  talk I will begin by giving an overview of the theory of fractional integ
 ral transforms and some of its applications and conclude by a summary of t
 he state of the art.\n\n(Talk in English)\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Martin Bohner (Missouri University)
DTSTART:20210308T150000Z
DTEND:20210308T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/18/">Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Line
 ar and Nonlinear Dynamic Equations</a>\nby Martin Bohner (Missouri Univers
 ity) as part of سمينار التحليل الرياضي وتطبيقا
 ته\n\n\nAbstract\nWe present several new sufficient conditions for Hyers
 --Ulam and Hyers--Ulam-Rassias stability of first-order linear and nonline
 ar dynamic equations for functions defined on a time scale with values in 
 a Banach space.\n\n(This talk is in English).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Richard Aoun (NYU Abu Dhabi)
DTSTART:20210315T150000Z
DTEND:20210315T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/19/">Random walks on linear groups: Limit Theorems and Stationary Me
 asures</a>\nby Richard Aoun (NYU Abu Dhabi) as part of سمينار الت
 حليل الرياضي وتطبيقاته\n\n\nAbstract\nRandom walks hav
 e shown to be efficient in understanding the action of groups on spaces of
  geometric nature. For instance\, Kesten's amenability criterion shows tha
 t a discrete group is non-amenable\, if and only if\, the  symmetric rando
 m random on it returns to the origin with a probability  that decays expon
 entially fast  to zero. When it comes to linear groups (i.e. subgroups of 
 the general linear group of fixed dimension)\, then the random walk is not
 hing than a product of invertible matrices each taken independently with r
 espect to fixed probability measure. We talk then about   Random Matrix Pr
 oducts Theory. This theory is at the intersection of Dynamical Systems/Erg
 odic Theory\, Probability Theory and Group Theory. It began in the 60's wi
 th Kesten and Furstenberg\, with applications to biological models and to 
 Schrödinger Operators. In last ten years\, the theory had unexpected appl
 ications to homogeneous dynamics thanks to the breakthrough of Benoist--Qu
 int. \n\nIn this talk\, we first give an overview of this theory\, introdu
 ce the Lyapunov exponents and indicate the role of stationary measures in 
 the study of these exponents. We then expose  recent advances in the topic
   concerning the uniqueness of  stationary measures when the top Lyapunov 
 exponent is simple (joint work with Yves Guivarc'h)  and  show the law of 
 large numbers of the spectral radius of an i.i.d random walk on the genera
 l linear group (joint with Cagri Sert).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Youssri H. Youssri (Cairo University)
DTSTART:20210322T150000Z
DTEND:20210322T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/20/">New Formulas of the High-Order Derivatives of Fifth-Kind Chebys
 hev Polynomials: Spectral Solutions of the Convection-Diffusion Equation</
 a>\nby Youssri H. Youssri (Cairo University) as part of سمينار ال
 تحليل الرياضي وتطبيقاته\n\n\nAbstract\nThis work is d
 edicated to deriving novel formulae for the high-order derivatives of the 
 Chebyshev polynomials of the fifth-kind. The high-order derivatives of the
 se polynomials are expressed in terms of their original polynomials. The d
 erived formulae contain certain terminating $_4F_{3}(1)$ hypergeometric fu
 nctions. We show that the resulting hypergeometric functions can be reduce
 d in the case of the first derivative. As an important application - and b
 ased on the derived formulas - a spectral tau algorithm is implemented and
  analyzed for numerically solving the convection-diffusion equation. The c
 onvergence and error analysis of the suggested double expansion is investi
 gated assuming that the solution of the problem is separable. Some illustr
 ative examples are presented to check the applicability and accuracy of ou
 r proposed algorithm.\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pablo Román (Universidad Nacional de Cordoba)
DTSTART:20210329T150000Z
DTEND:20210329T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/21/">Ladder relations and shift operators for a class of matrix valu
 ed orthogonal polynomials</a>\nby Pablo Román (Universidad Nacional de Co
 rdoba) as part of سمينار التحليل الرياضي وتطبيق
 اته\n\n\nAbstract\nIn this talk we will discuss algebraic and different
 ial relations for matrix valued orthogonal polynomials (MVOPs) with respec
 t to a matrix weight of the form $W(x) = e^{−v(x)} e^{xA} e^{xA^\\ast}$ 
 on the real line\, where v is a scalar polynomial of even degree with posi
 tive leading coefficient and A is a constant matrix. Using the theory intr
 oduced recently by Casper and Yakimov\, we investigate the algebras of dif
 ferential and difference operators and we obtain ladder operators  and dis
 crete string equations for the recurrence coefficients for these MVOPs. He
 rmite-type matrix valued weights\, corresponding to $v(x)=x^2$\,  will be 
 discussed in detail. This talk will be based on recent joint papers with A
 . Deaño\, B. Eijsvoogel (ladder relations) and M. Ismail\, E. Koelink (He
 rmite-type polynomials).\n\n(This talk is in English).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre Youssef (NYU Abu Dhabi)
DTSTART:20210405T150000Z
DTEND:20210405T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/22/">The restricted invertibility principle</a>\nby Pierre Youssef (
 NYU Abu Dhabi) as part of سمينار التحليل الرياضي وت
 طبيقاته\n\n\nAbstract\nWe will discuss the restricted invertibility
  principle first put forward by Bourgain and Tzafriri\, and its subsequent
  refinements. We will also see how it can be used to derive an approximate
  l1 analogue of Dvoretzky’s theorem\, a fundamental result in the area c
 alled Geometric Functional Analysis.\n\n(This will be most probably in Eng
 lish).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Plamen Simeonov (University of Houston-Downtown)
DTSTART:20210524T150000Z
DTEND:20210524T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/23/">Proofs of two conjectures involving sums of normalized Narayana
  numbers</a>\nby Plamen Simeonov (University of Houston-Downtown) as part 
 of سمينار التحليل الرياضي وتطبيقاته\n\n\nAbst
 ract\nThe Narayana numbers are well-known and have many applications in th
 e field of combinatorics. The Narayana numbers form a triangular array\, w
 here the sum of the n-th row is the n-th Catalan number. We normalize the 
 Narayana numbers by dividing each entry in the n-th row by the n-th Catala
 n number. Then each row of these normalized Narayana numbers defines a dis
 crete probability distribution. We investigate two new properties of these
  normalized Narayana numbers: instead of summing along the rows\, we deriv
 e the limit of the sums along the columns and the limit of the sums along 
 the short diagonals.\n\n(This talk is in English).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maxime Ingremeau (Université de Nice - Côte d'Azur)
DTSTART:20210531T150000Z
DTEND:20210531T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/24/">Spectral asymptotics of large quantum graphs</a>\nby Maxime Ing
 remeau (Université de Nice - Côte d'Azur) as part of سمينار الت
 حليل الرياضي وتطبيقاته\n\n\nAbstract\nSince Weyl's wor
 k a century ago\, a lot of papers have studied the asymptotics of the eige
 nvalues of the Laplacian (in a domain or on a compact manifold) in the lim
 it where the eigenvalues become large. Recently\, an other kind of asympto
 tics has been of interest: consider a sequence of domains\, whose size gro
 w to infinity\, and  count the asymptotic number of eigenvalues of the Lap
 lacian in these domains in a fixed spectral interval. \n\nIn this talk\, w
 e will deal with this kind of asymptotics in the case of Quantum Graphs (a
 lso known as metric graphs)\, which are just some compact one-dimensional 
 objects where Laplacians can be defined. We will then move to the realm of
  Open Quantum Graphs\, which are not compact\, and where waves can escape 
 to infinity through some semi-infinite leads. The analogue of the Laplace 
 eigenvalues in such open systems are the scattering resonances\, which are
  complex numbers that are much more delicate to study. We will obtain an a
 symptotic distribution for resonances of large quantum graphs whose number
  of leads is small compared to the total number of edges. \n\nPart of this
  is joint work with N. Anantharaman\, M. Sabri and B. Winn\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Etienne Le Masson (Université de Cergy)
DTSTART:20210607T150000Z
DTEND:20210607T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/25/">Quantum ergodicity on large genus hyperbolic surfaces</a>\nby E
 tienne Le Masson (Université de Cergy) as part of سمينار التحل
 يل الرياضي وتطبيقاته\n\n\nAbstract\nAn important observa
 tion in quantum chaos is that high frequency waves in chaotic settings del
 ocalise.\n\nIn this talk we will consider this question on finite area hyp
 erbolic surfaces (surfaces of curvature -1)\, a model of chaotic setting. 
 The waves will be eigenfunctions of the Laplacian and we will be intereste
 d in both discrete and continuous spectra. It is known since the proof of 
 the Quantum Ergodicity theorem that\, due to the ergodicity of the geodesi
 c flow\, most high frequency eigenfunctions of the Laplacian equidistribut
 e in this case. We will present a theorem showing that this equidistributi
 on phenomenon happens also for eigenfunctions in a fixed spectral window w
 hen the area (or equivalently the genus) of the surface goes to infinity.\
 n\nJoint work with Tuomas Sahlsten.\n\n(This talk is in English).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Walter Bergweiler (Kiel University)
DTSTART:20211018T150000Z
DTEND:20211018T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/26/">Entire solutions of linear q-difference equations</a>\nby Walte
 r Bergweiler (Kiel University) as part of سمينار التحليل ال
 رياضي وتطبيقاته\n\n\nAbstract\nWe consider transcendental en
 tire solutions of linear q-difference equations with polynomial coefficien
 ts. We are interested in the growth\, the zeros and the Taylor coefficient
 s of solutions. In order to study these questions we introduce the Newton-
 Puiseux diagram associated to the equation and discuss its relation to the
  growth of the solutions. Next we determine the asymptotic behavior of the
  Taylor coefficients. We use this to show that under a suitable hypothesis
  on the Newton-Puiseux diagram the zeros are asymptotic to finitely many g
 eometric progressions. We also sharpen previous results on the growth rate
  of entire solutions.\n\nThis talk is in English\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Sánchez Mendoza (Strasbourg University)
DTSTART:20211101T150000Z
DTEND:20211101T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/27/">Integrated Density of States of the 1D Anderson-Bernoulli Model
 </a>\nby Daniel Sánchez Mendoza (Strasbourg University) as part of سمي
 نار التحليل الرياضي وتطبيقاته\n\n\nAbstract\nIn 
 this talk\, we will describe the Integrated Density of States (IDS) of the
  1D Anderson-Bernoulli Model as the disorder parameter goes to infinity. W
 e will show there is a countable dense set of energies at which the IDS ca
 n be given explicitly and does not depend on the disorder parameter\, prov
 ided the latter is above an energy-dependent threshold.\n\n(This talk is i
 n English).\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Theo McKenzie (UC Berkeley)
DTSTART:20211108T150000Z
DTEND:20211108T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/28/">Many nodal domains in random regular graphs</a>\nby Theo McKenz
 ie (UC Berkeley) as part of سمينار التحليل الرياضي و
 تطبيقاته\n\n\nAbstract\nIf we partition a graph according to the p
 ositive and negative components of an eigenvector of the adjacency matrix\
 , the resulting connected subcomponents are called nodal domains. Examinin
 g the structure of nodal domains has been used for more than 150 years to 
 deduce properties of eigenfunctions. Dekel\, Lee\, and Linial observed tha
 t according to simulations\, most eigenvectors of the adjacency matrix of 
 random regular graphs have many nodal domains\, unlike dense Erdős-Rényi
  graphs. In this talk\, we show that for the most negative eigenvalues of 
 the adjacency matrix of a random regular graph\, there is an almost linear
  number of nodal domains. Joint work with Shirshendu Ganguly\, Sidhanth Mo
 hanty\, and Nikhil Srivastava.\n\n(Talk is in English)\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joao Morais (ITAM)
DTSTART:20211115T150000Z
DTEND:20211115T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/29/">Contragenic Functions on Spheroidal Domains</a>\nby Joao Morais
  (ITAM) as part of سمينار التحليل الرياضي وتطبيق
 اته\n\n\nAbstract\nA contragenic function in a domain $\\Omega \\subset
 eq \\mathbb{R}^3$ is a reduced-quaternion-valued (i.e.\, the last coordina
 te function is zero) harmonic function\, which is orthogonal in $L_2(\\Ome
 ga)$ to all monogenic functions and their conjugates. Contragenicity\, in 
 contrast to harmonicity and monogenicity\, is not a local property. We inv
 estigate the relationships between standard orthogonal bases of harmonic a
 nd contragenic functions via computational formulas for spheroids of diffe
 ring eccentricities. This permits us to show that there exist nontrivial c
 ontragenic functions common to the spheroids of all eccentricities.\n\n(Ta
 lk in English)\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacob Stordal Christiansen (Lund University)
DTSTART:20211122T150000Z
DTEND:20211122T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/30/">Chebyshev Polynomials</a>\nby Jacob Stordal Christiansen (Lund 
 University) as part of سمينار التحليل الرياضي وتطب
 يقاته\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmed Gamal (King Faisal University)
DTSTART:20211213T160000Z
DTEND:20211213T170000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/31/">Asymptotically periodic behavior of solutions to fractional non
 -instantaneous impulsive semilinear differential inclusions with sectorial
  operators</a>\nby Ahmed Gamal (King Faisal University) as part of سمي
 نار التحليل الرياضي وتطبيقاته\n\n\nAbstract\nIn 
 this talk \, we present two results concerning the existence of S-asymptot
 ically periodic solutions for non-instantaneous impulsive ω-semilinear di
 fferential inclusions of order and generated by sectorial operators. In th
 e first result\, we apply a fixed point theorem for contraction multivalue
 d functions. In the second result we use a compactness criteria in the spa
 ce of bounded piecewise continuous functions defined on the unbounded inte
 rval. We adopt the fractional derivative in the sense of Caputo derivative
 .\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shimaa Elesaely (Carnegie Mellon University)
DTSTART:20211220T150000Z
DTEND:20211220T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/32/">Stochastic convolution equations</a>\nby Shimaa Elesaely (Carne
 gie Mellon University) as part of سمينار التحليل الرياض
 ي وتطبيقاته\n\n\nAbstract\nStochastic convolution equations are 
 a generalization of stochastic differential equations which have recently 
 turned out to play an important role in financial modeling in particular f
 or the rough volatility models. The solutions of stochastic convolution eq
 uations are neither semimartingales nor Markov processes in general. In or
 der to avoid using stochastic integration with respect to non-semimartinga
 les\, we use tools from the theory of finite-dimensional deterministic con
 volution equations and standard martingale and stochastic calculus argumen
 ts. \n\nIn this talk\, we will discuss the existence of martingale and pat
 hwise solutions for stochastic convolution equations.\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessandro Duca (Laboratoire de Mathématique de Versailles)
DTSTART:20211206T150000Z
DTEND:20211206T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/33/">Well-posedness and control of the Schrödinger equation by defo
 rmations of the domain</a>\nby Alessandro Duca (Laboratoire de Mathématiq
 ue de Versailles) as part of سمينار التحليل الرياضي و
 تطبيقاته\n\n\nAbstract\nWe consider the Schrödinger equation\n\\[
 \n(∗) \\qquad i\\partial_tu(t) = −\\Delta u(t) \\quad \\text{on} \\ \\
 Omega(t)\n\\]\nwhere $\\Omega(t) \\subset \\mathbb{R}^N$ is a moving domai
 n depending on the time $t \\in [0\, T]$. In the first part of this talk\,
  we discuss how to provide a meaning to the solutions of such an equation 
 defined on a time-dependent Hilbert space. We assume the existence of a bo
 unded reference domain $\\Omega_0$ and a specific family of unitary maps $
 h^♯(t) : L^2(\\Omega(t)\, \\mathbb{C}) → L^2(\\Omega_0\, \\mathbb{C})$
 . The conjugation by h♯ provides a transposed equation of (∗) of the f
 orm\n\\[\n(∗∗) \\qquad i\\partial_tv = h^♯(t)H(t)h_♯(t)v \\quad \\
 text{on}\\ \\Omega_0\n\\]\nwhere $h_♯ = (h^♯)^{−1}$. The Hamiltonian
  $H(t)$ is a magnetic Laplacian operator:\n\\[\nH(t) = −(\\mathrm{div}_x
  +iA) \\circ (\\nabla x + iA) − |A|^2\n\\]\nwhere A is an explicit magne
 tic potential depending on the deformation of the domain $Ω(t)$. The for
 mulation (∗∗) allows us to ensure the well-posedness of (∗) on $Ω(
 t)$ endowed with suitable boundary conditions. The second part of the talk
  is dedicated to the global approximate controllability of the Schrödinge
 r equation (∗) via suitable deformations of the domain. In other words\,
  we consider any couple of quantum states $\\psi_1\, \\psi_2 ∈ L^2(\\Ome
 ga\, \\mathbb{C})$ where $\\Omega \\subset \\mathbb{R}^N$ is a smooth doma
 in. We show how to deform $\\Omega$ by defining a family of domains Ω(t)
  such that $\\Omega(0) = \\Omega(T) = \\Omega$ and such that the flow of t
 he corresponding dynamics (∗) steers $\\psi_1$ close to $\\psi_2$. The r
 esult follows from the Hamiltonian structure of the transposed equation (
 ∗∗).\n\nIn collaboration with Romain Joly and Dmitry Turaev\n\n(Talk i
 n English)\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nadia Souayeh (University of Tunis El Manar)
DTSTART:20211227T150000Z
DTEND:20211227T160000Z
DTSTAMP:20260422T225635Z
UID:MathAnalysisCairo/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathAnalysis
 Cairo/34/">Partial stabilization for some coupled wave system with KELVIN-
 VOIGT damping</a>\nby Nadia Souayeh (University of Tunis El Manar) as part
  of سمينار التحليل الرياضي وتطبيقاته\n\n\nAbs
 tract\nWe consider a  system of wave equations coupled via velocity\, with
  locally and partially distributed KELVIN-VOIGT damping and with different
  propagation speeds. We investigate the effectiveness of the indirect cont
 rol\, and we show that the stability of this kind of system depends on the
  smoothness of the damping coefficient.\n\n(Talk in English)\n
LOCATION:https://researchseminars.org/talk/MathAnalysisCairo/34/
END:VEVENT
END:VCALENDAR