A characterization of $$L_{2}$$ L 2 mixing and hypercontractivity via hitting times and maximal inequalities

Author:

Hermon JonathanORCID,Peres Yuval

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference19 articles.

1. Aldous, D., Fill, J.: Reversible Markov chains and random walks on graphs. Unfinished monograph (2002). https://www.stat.berkeley.edu/~aldous/RWG/book.pdf

2. Basu, R., Hermon, J., Peres, Y.: Characterization of cutoff for reversible Markov chains. Ann. Probab. arXiv:1409.3250 (2013) (to appear)

3. Bobkov, S.G., Tetali, P.: Modified logarithmic Sobolev inequalities in discrete settings. J. Theor. Probab. 19(2), 289–336 (2006)

4. Boczkowski, L., Peres, Y., Sousi, P.: Sensitivity of mixing times in Eulerian digraphs. arXiv:1603.05639 (2016)

5. Cattiaux, P., Guillin, A.: Hitting times, functional inequalities, lyapunov conditions and uniform ergodicity. arXiv:1604.06336 (2016)

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