A sharp log-Sobolev inequality for the multislice
نویسندگان
چکیده
We determine the log-Sobolev constant of multi-urn Bernoulli–Laplace diffusion model with arbitrary parameters, up to a small universal multiplicative constant. Our result extends classical estimate Lee and Yau (1998) confirms conjecture Filmus, O’Donnell Wu (2018). Among other applications, we completely quantify small-set expansion phenomenon on multislice, obtain sharp mixing-time estimates for colored exclusion process various graphs.
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ژورنال
عنوان ژورنال: Annales Henri Lebesgue
سال: 2021
ISSN: ['2644-9463']
DOI: https://doi.org/10.5802/ahl.99.pdf