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Timo Schlüter - Limit theorems for a random walk on oriented percolation

Dates:15 December 2021
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
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  • Timo Schlüter

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  • In category "Seminar"
  • In group "(Maths) Probability and statistics"
  • By Department of Mathematics

Timo Schlüter (University of Basel) will speak in the Probability seminar.

We consider a directed random walk $X=(X_n)_n$ in a random environment on $\Z^d$. The environment is given by the backbone of an oriented percolation cluster. We show the existence of a measure $Q$ that is absolutely continuous with respect to the original measure $\bP$ and invariant with respect to the point of view of the particle. Furthermore we prove a quenched local limit theorem using the Radon-Nikodym derivative obtained from $Q$ with respect to $\bP$ as a suitable prefactor.

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https://zoom.us/j/97200455451

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Sebastian Andres

sebastian.andres@manchester.ac.uk

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