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Local-to-global functional inequalities in simplicial complexes

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Mousa2022.pdf (414.6Kb)
Date
06/09/2022
Author
Mousa, Giorgos
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Abstract
A study of random walks over simplicial complexes with a particular emphasis on matroids. A framework is developed that yields results on the entropy contraction and modified log-Sobolev constant of the exchange walks over the levels of a simplicial complex, on the basis of entropy contraction properties of some local walks. This provides a general method for analyzing a variety of Markov chains by analyzing some of their lower-dimensional instances.
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https://hdl.handle.net/1842/39353

http://dx.doi.org/10.7488/era/2604
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