Starts 7 Jul 2022 16:00
Ends 7 Jul 2022 17:00
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Probabilistic potential theory for dynamical systems
Online
Leonardo Building - Luigi Stasi Seminar Room
Register in advance for this meeting:
https://zoom.us/meeting/register/tJIlc-ysqDooHNBsuerJh6gHICViOSjgR8YL
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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.
https://zoom.us/meeting/register/tJIlc-ysqDooHNBsuerJh6gHICViOSjgR8YL
After registering, you will receive a confirmation email containing information about joining the meeting.
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.
This will be a hybrid seminar. All are very welcome to join either online or in person. Venue: Luigi Stasi Lecture Room (ICTP Leonardo Da Vinci Building), for those wishing to attend in person.