Entropy Theory for Random Walks on Lie Groups
Samuel Kittle, Constantin Kogler
TL;DR
This paper develops entropy and variance results for i.i.d. random variables on Lie groups, aiding the understanding of stationary measures in diverse mathematical contexts.
Contribution
It introduces new entropy and variance bounds specifically for random walks on Lie groups, expanding theoretical understanding.
Findings
Entropy bounds for random walks on Lie groups
Variance estimates for i.i.d. group elements
Applications to stationary measure analysis
Abstract
We develop entropy and variance results for the product of independent identically distributed random variables on Lie groups. Our results apply to the study of stationary measures in various contexts.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Markov Chains and Monte Carlo Methods