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UID:20260415T071950EDT-6730T2i7Wb@132.216.98.100
DTSTAMP:20260415T111950Z
DESCRIPTION:Title: Hypoelliptic multiscale Langevin diffusions: Large devia
 tions\, invariant measures and small mass asymptotics\n	\n	Abstract:  We con
 sider a general class of non-gradient hypoelliptic Langevin diffusions and
  study two related questions. The first one is large deviations for hypoel
 liptic multiscale diffusions. The second one is small mass asymptotics of 
 the invariant measure corresponding to hypoelliptic Langevin operators and
  of related hypoelliptic Poisson equations. The invariant measure correspo
 nding to the hypoelliptic problem and appropriate hypoelliptic Poisson equ
 ations enter the large deviations rate function due to the multiscale effe
 cts. Based on the small mass asymptotics we derive that the large deviatio
 ns behavior of the multiscale hypoelliptic diffusion is consistent with th
 e large deviations behavior of its overdamped counterpart. Additionally\, 
 we rigorously obtain an asymptotic expansion of the solution to the relate
 d density of the invariant measure and to hypoelliptic Poisson equations w
 ith respect to the mass parameter\, characterizing the order of convergenc
 e. The proof of convergence of invariant measures is of independent intere
 st\, as it involves an improvement of the hypocoercivity result for the ki
 netic Fokker-Planck equation. We do not restrict attention to gradient dri
 fts and our proof provides explicit information on the dependence of the b
 ounds of interest in terms of the mass parameter. \n
DTSTART:20171031T213000Z
DTEND:20171031T230000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Konstantinos Spiliopoulos\, Boston University
URL:https://www.mcgill.ca/mathstat/channels/event/konstantinos-spiliopoulos
 -boston-university-281979
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