Ryoki Fukushima - Number of paths in oriented percolation as zero temperature limit of directed polymer
|Starts:||15:00 24 Mar 2021|
|Ends:||16:00 24 Mar 2021|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
Ryoki Fukushima (University of Tsukuba) will speak in the Probability seminar.
Consider the number of open paths in the supercritical oriented percolation.
It is known to grow exponentially, and the recent work by Garet-Gouere-Marchand proved
that the growth rate exists and is non-random. I will present some results that provide
approximations of the growth rate by the finite volume model and a positive temperature
version. As a consequence, it follows that the growth rate is continuous in the percolation
parameter. This talk is based on a joint work with Stefan Junk.
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