BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Illia Donhauzer (La Trobe University) DTSTART:20231009T134000Z DTEND:20231009T151000Z DTSTAMP:20260405T175331Z UID:NSCM/114 DESCRIPTION:Title: L imit theorems for multifractal products of random fields\nby Illia D onhauzer (La Trobe University) as part of Nečas Seminar on Continuum Mech anics\n\nLecture held in Room K3\, Faculty of Mathematics and Physics\, C harles University\, Sokolovská 83 Prague 8..\n\nAbstract\nThe talk is ab out random functions with changing local regularity\n exponent (multifract al processes and multifractal fields in multidimensional\n cases). This ty pe of random function has been observed in various areas\n including commu nication systems\, precipitation fields\, econometrics\, and so\n on. The goal of this talk is to present new results in the modeling of\n multifrac tal random functions. One of the possible approaches to obtain\n multifrac tal random functions is as limits of multifractal products of\n random fun ctions (roughly speaking\, integrals of infinite products of random\n func tions). In the talk\, I will show new results on the existence of those\n limits in the spaces Lq as well as new results on the rate of convergence. \n The developed methodology is also applied to multidimensional multifrac tal\n measures. Finally\, I will show a new class of examples of geometric \n φ-sub-Gaussian random functions when the general assumptions have a si mple\n form and can be expressed in terms of covariance functions only.\n LOCATION:https://researchseminars.org/talk/NSCM/114/ END:VEVENT END:VCALENDAR