Stochastic dynamics on CW complexes

Event details
Date | 06.10.2020 |
Hour | 15:15 › 16:15 |
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].
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].
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Organizer
- Applied Topology Seminar