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SUMMARY:Eugen Bronasco (University of Geneva)
DTSTART:20250127T121500Z
DTEND:20250127T130000Z
DTSTAMP:20260417T004808Z
UID:cam/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/54/">Alg
 ebraic structures and a new order two method for sampling the invariant me
 asure of Langevin dynamics</a>\nby Eugen Bronasco (University of Geneva) a
 s part of CAM seminar\n\nLecture held in MV:L14.\n\nAbstract\nThis talk ex
 plores the problem of sampling the invariant measure of Langevin dynamics 
 through the lens of exotic aromatic forests — a specialized class of gra
 phs forming an algebra that represents the\nalgebra of differential operat
 ors. Such algebraic structures play a fundamental role in particular for t
 he numerical analysis of numerical integrators. We establish the connectio
 n between exotic aromatic forests and numerical methods\, introducing the 
 relevant algebraic structures and their applications. A key focus is the c
 onstruction of a novel method of order two for invariant measure sampling\
 , derived using the framework of exotic aromatic forests. Additionally\, w
 e demonstrate how these tools\ngenerate order conditions with favorable al
 gebraic properties\, facilitate the representation of composition and subs
 titution in numerical integrators\, and support backward error analysis an
 d the\ncomputation of modified equations. We conclude with an overview of 
 a new Haskell package designed to automate computations involving graph al
 gebras.\n\nPapers and preprints available at: www.unige.ch/~bronasco\n
LOCATION:https://researchseminars.org/talk/cam/54/
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