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Noise sensitivity on affine Weyl groups

Part of: Markov processes

Published online by Cambridge University Press:  31 July 2025

Ryokichi Tanaka Open the ORCID record for Ryokichi Tanaka [Opens in a new window]
Ryokichi Tanaka*
Affiliation:
Department of Mathematics, Kyoto University, Kyoto, Japan
*
Email: rtanaka@math.kyoto-u.ac.jp
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Abstract

We show that on every affine Weyl group natural random walks are noise sensitive in total variation.

Keywords

noise sensitivityrandom walks on groupsaffine Weyl groups

MSC classification

Primary: 60J10: Markov chains (discrete-time Markov processes on discrete state spaces)

Information

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 34 , Issue 5 , September 2025 , pp. 754 - 779
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Copyright
© The Author(s), 2025. Published by Cambridge University Press

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