Evolving sets, mixing and heat kernel bounds
暂无分享,去创建一个
[1] Prasad Tetali,et al. Isoperimetric Invariants For Product Markov Chains and Graph Products , 2004, Comb..
[2] É. Remy,et al. Isoperimetry and heat kernel decay on percolation clusters , 2003, math/0301213.
[3] Peter Winkler. Rapid mixing , 2002, Proceedings 17th IEEE Annual Conference on Computational Complexity.
[4] R. Karman. Rapid Mixing in Markov Chains , 2002 .
[5] Ravi Montenegro,et al. Edge isoperimetry and rapid mixing on matroids and geometric Markov chains , 2001, STOC '01.
[6] L. Saloff‐Coste. RANDOM WALKS ON INFINITE GRAPHS AND GROUPS (Cambridge Tracts in Mathematics 138) , 2001 .
[7] Thierry Coulhon,et al. A geometric approach to on-diagonal heat kernel lower bounds on groups , 2001 .
[8] Paul Sabatier,et al. A survey on the relationships between volumegrowth , isoperimetry , and the behavior of simplerandom walk on Cayley graphs , with examplesCh , 2001 .
[9] Elchanan Mossel,et al. On the mixing time of a simple random walk on the super critical percolation cluster , 2000, math/0011092.
[10] W. Woess. Random walks on infinite graphs and groups, by Wolfgang Woess, Cambridge Tracts , 2001 .
[11] László Lovász,et al. Faster mixing via average conductance , 1999, STOC '99.
[12] Johan Jonasson,et al. Rates of convergence for lamplighter processes , 1997 .
[13] L. Saloff-Coste,et al. Lectures on finite Markov chains , 1997 .
[14] Thierry Coulhon,et al. Ultracontractivity and Nash Type Inequalities , 1996 .
[15] P. Diaconis,et al. Nash inequalities for finite Markov chains , 1996 .
[16] Shing-Tung Yau,et al. Eigenvalues of Graphs and Sobolev Inequalities , 1995, Combinatorics, Probability and Computing.
[17] Alistair Sinclair,et al. Algorithms for Random Generation and Counting: A Markov Chain Approach , 1993, Progress in Theoretical Computer Science.
[18] F. Chung. Laplacians of graphs and Cheeger inequalities , 1993 .
[19] J. A. Fill. Eigenvalue bounds on convergence to stationarity for nonreversible markov chains , 1991 .
[20] P. Diaconis,et al. Strong Stationary Times Via a New Form of Duality , 1990 .
[21] Mark Jerrum,et al. Approximating the Permanent , 1989, SIAM J. Comput..
[22] Milena Mihail,et al. Conductance and convergence of Markov chains-a combinatorial treatment of expanders , 1989, 30th Annual Symposium on Foundations of Computer Science.
[23] A. Sokal,et al. Bounds on the ² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality , 1988 .
[24] N. Alon. Eigenvalues and expanders , 1986, Comb..
[25] N. Varopoulos. Isoperimetric inequalities and Markov chains , 1985 .
[26] Noga Alon,et al. lambda1, Isoperimetric inequalities for graphs, and superconcentrators , 1985, J. Comb. Theory, Ser. B.
[27] N. Alon,et al. il , , lsoperimetric Inequalities for Graphs , and Superconcentrators , 1985 .