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Ryoki Fukushima - Number of paths in oriented percolation as zero temperature limit of directed polymer

Dates:24 March 2021
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Speaker:Ryoki Fukushima
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  • In category "Seminar"
  • In group "(Maths) Probability and statistics"
  • By 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.

Speaker

Ryoki Fukushima

  • http://www.math.tsukuba.ac.jp/~ryoki/

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https://zoom.us/j/98575951277

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Sebastian Andres

sebastian.andres@manchester.ac.uk

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