ICTP Mathematics Seminar - Thursday 7 July, at 16:00 (Damien Thomine )

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2022


Thursday 7 July, at 16:00 hrs.


Speaker: Damien Thomine (Université Paris-Sud)


Title: Probabilistic potential theory for dynamical systems


Abstract: Probabilistic potential theory relates Markov chains and 
harmonic functions. It offers the tools to compute, for instance, the 
probability that a random walk hits a specified target before another; 
or, thinking in terms of open systems, that the walk leaves the space at 
a specified point.

We adapt those results to dynamical systems. Our aim is to estimate, in 
a spatially periodic hyperbolic system, the probability of hitting a 
specified target before another. This work involves tools from potential 
theory (specifically, a balayage identity), transfer operators with 
spectral degeneracies, and perturbative arguments.


_*VENUE:*_  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, 
first floor)


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ICTP Mathematics Group
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