Upgrading MLSI to LSI for reversible Markov chains
From MaRDI portal
Publication:6175737
DOI10.1016/j.jfa.2023.110076zbMath1520.60042arXiv2212.06028OpenAlexW4312059657MaRDI QIDQ6175737
Justin Salez, Konstantin Tikhomirov, Pierre Youssef
Publication date: 18 August 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.06028
logarithmic Sobolev inequalitiesfunctional inequalitiesmixing timesreversible Markov chainsmodified log-Sobolev inequalities
Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Continuous-time Markov processes on discrete state spaces (60J27)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniform mixing time for random walk on lamplighter graphs
- Convex entropy decay via the Bochner-Bakry-Emery approach
- Logarithmic Sobolev inequality for zero-range dynamics: independence of the number of particles
- Modified logarithmic Sobolev inequalities in discrete settings
- Interaction of Markov processes
- Comparison theorems for reversible Markov chains
- Rates of convergence for lamplighter processes
- Mixing times for random walks on finite lamplighter groups
- The logarithmic Sobolev constant of the lamplighter
- Modified log-Sobolev inequalities, Beckner inequalities and moment estimates
- Log-Sobolev inequality for the multislice, with applications
- A probabilistic approach to convex \((\phi)\)-entropy decay for Markov chains
- Cutoff for the mean-field zero-range process with bounded monotone rates
- Modified log-Sobolev inequalities for strongly log-concave distributions
- Entropy dissipation estimates for inhomogeneous zero-range processes
- A version of Aldous' spectral-gap conjecture for the zero range process
- Logarithmic Sobolev inequality for zero-range dynamics
- A characterization of \(L_{2}\) mixing and hypercontractivity via hitting times and maximal inequalities
- Logarithmic Sobolev inequalities for finite Markov chains
- Entropy dissipation estimates in a zero-range dynamics
- Mathematical Aspects of Mixing Times in Markov Chains
- Generating a random permutation with random transpositions
- Modified log-Sobolev inequalities and two-level concentration
