Stochastic dynamics on CW complexes

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Event details

Date 06.10.2020
Hour 15:1516:15
Speaker Michael Catanzaro, Iowa State University
Category Conferences - Seminars
Applied Topology Seminar
 
Speaker: Michael Catanzaro, Iowa State University
 
Title: Stochastic dynamics on CW complexes
 
Abstract: In this talk, we will explore stochastic motion of subcomplexes inside CW complexes. We refer to this as a Markov CW-chain and it serves as a generalization of a random walks on a graph, and a discretization of stochastic flows on smooth manifolds. We will define a notion of stochastic current, connect it to classical electric current, and show it satisfies quantization. Along the way, we will define the main combinatorial objects of study, namely spanning trees and spanning co-trees in higher dimensions, and relate these to the dynamics.
 
More information on the website of the seminar: https://www.epfl.ch/labs/hessbellwald-lab/seminar/apptopsem2021/#catanzaro
 
If you wish to join the zoom meeting, please send an email to [email protected].
 

Practical information

  • Informed public
  • Free

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  • Applied Topology Seminar

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