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Volumn 15, Issue 3, 2006, Pages 411-448

Disjoint decomposition of Markov chains and sampling circuits in cayley graphs

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY; NUMERICAL ANALYSIS; PROBABILITY; SAMPLING; STATE SPACE METHODS; THEOREM PROVING;

EID: 33645697622     PISSN: 09635483     EISSN: 14692163     Source Type: Journal    
DOI: 10.1017/S0963548305007352     Document Type: Article
Times cited : (18)

References (18)
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    • Bubley, R. and Dyer, M. (1999) Faster random generation of linear extensions. Discrete Math. 201 81-88.
    • (1999) Discrete Math. , vol.201 , pp. 81-88
    • Bubley, R.1    Dyer, M.2
  • 3
    • 0000255332 scopus 로고
    • Comparison theorems for reversible Markov chains
    • Diaconis, P. and Saloff-Coste, L. (1993) Comparison theorems for reversible Markov chains.Ann. Appl. Probab. 3 696-730.
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 696-730
    • Diaconis, P.1    Saloff-Coste, L.2
  • 4
    • 0032221895 scopus 로고    scopus 로고
    • A more rapidly mixing Markov chain for graph colorings
    • Dyer, M. and Greenhill, C. (1998) A more rapidly mixing Markov chain for graph colorings.Random Struct. Alg. 13 285-317.
    • (1998) Random Struct. Alg. , vol.13 , pp. 285-317
    • Dyer, M.1    Greenhill, C.2
  • 5
    • 0024699930 scopus 로고
    • Approximate counting, uniform generation and rapidly mixing Markov chains
    • Jerrum, M. R. and Sinclair, A. J. (1989) Approximate counting, uniform generation and rapidly mixing Markov chains. Inform. Comput. 82 93-133.
    • (1989) Inform. Comput. , vol.82 , pp. 93-133
    • Jerrum, M.R.1    Sinclair, A.J.2
  • 7
    • 26844513389 scopus 로고    scopus 로고
    • Elementary bounds on Poincaré and log-Sobolev constants for decomposable Markov chains
    • Isaac Newton Institute preprint NI03006-CMP
    • Jerrum, M., Son, J.-B., Tetali, P. and Vigoda, E. (2004) Elementary bounds on Poincaré and log-Sobolev constants for decomposable Markov chains. Isaac Newton Institute preprint NI03006-CMP, available at http://www.newton.cam.ac.uk/preprints/NI03006.pdf. Ann. Appl. Probab. 14 1741-1765.
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 1741-1765
    • Jerrum, M.1    Son, J.-B.2    Tetali, P.3    Vigoda, E.4
  • 8
    • 0036214681 scopus 로고    scopus 로고
    • Markov chain algorithms for planar lattice structures
    • Luby, M., Randall, D. and Sinclair, A. J. (2001) Markov chain algorithms for planar lattice structures. SIAM J. Comput. 31 167-192.
    • (2001) SIAM J. Comput. , vol.31 , pp. 167-192
    • Luby, M.1    Randall, D.2    Sinclair, A.J.3
  • 10
    • 0036338627 scopus 로고    scopus 로고
    • Markov chain decomposition for convergence rate analysis
    • Madras, N. and Randall, D. (2002) Markov chain decomposition for convergence rate analysis.Ann. Appl. Probab. 12 581-606.
    • (2002) Ann. Appl. Probab. , vol.12 , pp. 581-606
    • Madras, N.1    Randall, D.2
  • 13
    • 0034345469 scopus 로고    scopus 로고
    • Analyzing Glauber dynamics by comparison of Markov chains
    • Randall, D. and Tetali, P. (2000) Analyzing Glauber dynamics by comparison of Markov chains. J. Math. Phys. 41 1598-1615.
    • (2000) J. Math. Phys. , vol.41 , pp. 1598-1615
    • Randall, D.1    Tetali, P.2
  • 14
    • 0007288155 scopus 로고    scopus 로고
    • Adsorbing staircase walks and staircase polygons
    • van Rensburg, B. (1999) Adsorbing staircase walks and staircase polygons. Ann. Combinatorics 3 451-473.
    • (1999) Ann. Combinatorics , vol.3 , pp. 451-473
    • Van Rensburg, B.1
  • 18
    • 2542428916 scopus 로고    scopus 로고
    • Mixing times of lozenge tiling and card shuffling Markov chains
    • Wilson, D. B. (2004) Mixing times of lozenge tiling and card shuffling Markov chains. Ann.Appl Probab. 14 274-325.
    • (2004) Ann.Appl Probab. , vol.14 , pp. 274-325
    • Wilson, D.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.