Reversible Markov chains and random walks on graphs URL https, 2002. ,
DOI : 10.1007/bf01048272
The birthday problem and markov chain monte carlo. arXiv preprint math, 2007. ,
Waiting for a Bat to Fly By (in Polynomial Time), Combinatorics, Probability and Computing, vol.15, issue.05, pp.673-683, 2006. ,
DOI : 10.1017/S0963548306007590
A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs, European Journal of Combinatorics, vol.1, issue.4, pp.311-316, 1980. ,
DOI : 10.1016/S0195-6698(80)80030-8
On the second eigenvalue of random regular graphs, 28th Annual Symposium on Foundations of Computer Science (sfcs 1987), pp.286-294, 1987. ,
DOI : 10.1109/SFCS.1987.45
Estimating the number of species: a review, Journal of the American Statistical Association, vol.88, issue.421, pp.364-373, 1993. ,
Estimating network parameters using random walks. Social Network Analysis and Mining, p.168, 2014. ,
DOI : 10.1109/cason.2012.6412374
Distributed random walks, J. ACM, vol.602, issue.1, pp.1-2, 2013. ,
Mixing time estimation in reversible markov chains from a single sample path, Advances in neural information processing systems, pp.1459-1467, 2015. ,
The Probability That a Random Multigraph is Simple, Combinatorics, Probability and Computing, vol.19, issue.1-2, pp.205-225, 2009. ,
DOI : 10.1017/CBO9780511814068
Estimating sizes of social networks via biased sampling, Internet Mathematics, vol.10, pp.3-4335, 2014. ,
Community Structure in Large Networks: Natural Cluster Sizes and the Absence of Large Well-Defined Clusters, Internet Mathematics, vol.6, issue.1, pp.29-123, 2009. ,
DOI : 10.1080/15427951.2009.10129177
Estimating the spectral gap of a reversible markov chain from a short trajectory, 2016. ,
Markov chains and mixing times, 2009. ,
DOI : 10.1090/mbk/058
Cutoff phenomena for random walks on random regular graphs, Duke Mathematical Journal, vol.153, issue.3, pp.475-510, 2010. ,
DOI : 10.1215/00127094-2010-029
URL : http://arxiv.org/pdf/0812.0060
Asymptotic Enumeration of Spanning Trees, Combinatorics, Probability and Computing, vol.14, issue.4, pp.491-522, 2005. ,
DOI : 10.1017/S096354830500684X
Intersection and mixing times for reversible chains, Electronic Journal of Probability, vol.22, issue.0, 2017. ,
DOI : 10.1214/16-EJP18
URL : http://doi.org/10.1214/16-ejp18
Rio de Janeiro 22460-320, Brazil. E-mail address: benhamou@impa.br R Rio de Janeiro 22460-320, Brazil. E-mail address: rimfo@impa.br Y. Peres Microsoft Research, One Microsoft Way, vol.110, issue.110 ,