메뉴 건너뛰기




Volumn , Issue , 2003, Pages 4-15

Mixing

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; GRAPH THEORY; MATRIX ALGEBRA; PHYSICS; PROBABILITY DISTRIBUTIONS; RESPONSE TIME (COMPUTER SYSTEMS); SAMPLING; STATISTICAL MECHANICS;

EID: 0345412715     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (10)

References (38)
  • 2
    • 0003514340 scopus 로고    scopus 로고
    • Reversible Markov chains and random walks on graphs
    • In preparation
    • D. Aldous and J. Fill. Reversible Markov chains and Random Walks on Graphs. In preparation, 2003.
    • (2003)
    • Aldous, D.1    Fill, J.2
  • 5
    • 0040391941 scopus 로고    scopus 로고
    • Faster random generation of linear extensions
    • R. Bubley and M. Dyer. Faster random generation of linear extensions. Discrete Math., 201:81-88, 1999.
    • (1999) Discrete Math. , vol.201 , pp. 81-88
    • Bubley, R.1    Dyer, M.2
  • 6
    • 0040628914 scopus 로고
    • An introduction to the Ising model
    • B.A. Cipra. An introduction to the Ising model. American Mathematical Monthly 94, pp. 937-959, 1987.
    • (1987) American Mathematical Monthly , vol.94 , pp. 937-959
    • Cipra, B.A.1
  • 7
    • 0034345464 scopus 로고    scopus 로고
    • Mixing properties of the Swendsen-Wang process on the complete graph and narrow grids
    • C. Cooper, M.E. Dyer, A.M. Frieze and R. Rue. Mixing Properties of the Swendsen-Wang Process on the Complete Graph and Narrow Grids. J. Math. Phys. 41, 1499-1527, 2000.
    • (2000) J. Math. Phys. , vol.41 , pp. 1499-1527
    • Cooper, C.1    Dyer, M.E.2    Frieze, A.M.3    Rue, R.4
  • 11
    • 0035705951 scopus 로고    scopus 로고
    • An extension of path coupling and its application to the Glauber dynamics for graph colorings
    • M.E. Dyer, L.A. Goldberg, C. Greenhill, M.R. Jerum, and M. Mitzenmacher. An extension of path coupling and its application to the Glauber dynamics for graph colorings. SIAM J. on Computing, 30: 1962-1975, 2001.
    • (2001) SIAM J. on Computing , vol.30 , pp. 1962-1975
    • Dyer, M.E.1    Goldberg, L.A.2    Greenhill, C.3    Jerum, M.R.4    Mitzenmacher, M.5
  • 12
    • 0032221895 scopus 로고    scopus 로고
    • A more rapidly mixing Markov chain for graph colorings
    • M. Dyer and C. Greenhill. A more rapidly mixing Markov chain for graph colorings. Random Structures and Algorithms, 13:285-317, 1998.
    • (1998) Random Structures and Algorithms , vol.13 , pp. 285-317
    • Dyer, M.1    Greenhill, C.2
  • 14
    • 84990721683 scopus 로고
    • A very simple algorithm for estimating the number of k-colorings of a low-degree graph
    • M.R. Jerrum. A very simple algorithm for estimating the number of k-colorings of a low-degree graph. Random Structures and Algorithms, 7: 157-165, 1995.
    • (1995) Random Structures and Algorithms , vol.7 , pp. 157-165
    • Jerrum, M.R.1
  • 15
  • 16
    • 0002734223 scopus 로고    scopus 로고
    • The Markov chain Monte Carlo method: An approach to approximate counting and integration
    • D.S. Hochbaum, ed., PwS Pulishing, Boston
    • M.R. Jerrum and A.J. Sinclair. The Markov chain Monte Carlo method: an approach to approximate counting and integration. In Approximation Algorithms for NP-Hard Problems, D.S. Hochbaum, ed., PwS Pulishing, Boston: 482-520, 1997.
    • (1997) Approximation Algorithms for NP-Hard Problems , pp. 482-520
    • Jerrum, M.R.1    Sinclair, A.J.2
  • 17
    • 0027677367 scopus 로고
    • Polynomial-time approximation algorithms for the Ising model
    • M.R. Jerrm and A.J. Sinclair. Polynomial-time approximation algorithms for the Ising model. SIAM J. on Computing, 22: 1087-1116, 1993.
    • (1993) SIAM J. on Computing , vol.22 , pp. 1087-1116
    • Jerrm, M.R.1    Sinclair, A.J.2
  • 18
    • 0034832758 scopus 로고    scopus 로고
    • A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries
    • M.R. Jerrum, A.J. Sinclair and E. Vigoda. A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries. Proc. 33rd ACM Symp. on Theory of Comp., 712-721, 2001.
    • (2001) Proc. 33rd ACM Symp. on Theory of Comp. , pp. 712-721
    • Jerrum, M.R.1    Sinclair, A.J.2    Vigoda, E.3
  • 19
    • 38249043088 scopus 로고
    • Random generation of combinatorial structures from a uniform distribution
    • M.R. Jerrum, L.G. Valiant, and V.V. Vazirani. Random generation of combinatorial structures from a uniform distribution. Theoretical Computer Science, 43: 169-188, 1986.
    • (1986) Theoretical Computer Science , vol.43 , pp. 169-188
    • Jerrum, M.R.1    Valiant, L.G.2    Vazirani, V.V.3
  • 23
    • 0033436481 scopus 로고    scopus 로고
    • Fast convergence of the Glauber dynamics for sampling independent sets
    • M. Luby and E. Vigoda. Fast convergence of the Glauber dynamics for sampling independent sets. Random Structures and Algorithms, 229-241, 1999.
    • (1999) Random Structures and Algorithms , pp. 229-241
    • Luby, M.1    Vigoda, E.2
  • 24
    • 0036338627 scopus 로고    scopus 로고
    • Markov chain decomposition for convergence rate analysis
    • N. Madras and D. Randall. Markov chain decomposition for convergence rate analysis. Annals of Applied Probability, 12: 581-606, 2002.
    • (2002) Annals of Applied Probability , vol.12 , pp. 581-606
    • Madras, N.1    Randall, D.2
  • 26
    • 0345271053 scopus 로고    scopus 로고
    • Disjoint decomposition with applications to sampling circuits in some Cayley graphs
    • Preprint
    • R.A. Martin and D. Randall. Disjoint decomposition with applications to sampling circuits in some Cayley graphs. Preprint, 2003.
    • (2003)
    • Martin, R.A.1    Randall, D.2
  • 28
    • 0036036707 scopus 로고    scopus 로고
    • The Glauber dynamics on colorings of a graph with high girth and maximum degree
    • M. Molloy. The Glauber dynamics on colorings of a graph with high girth and maximum degree. Proc. 34th ACM Symp. on Theory of Computing, 91-98, 2002.
    • (2002) Proc. 34th ACM Symp. on Theory of Computing , pp. 91-98
    • Molloy, M.1
  • 30
    • 0344408096 scopus 로고    scopus 로고
    • Decomposition methods and sampling circuits in the cartesian lattice
    • Proc. 5th Symposium on Mathematical Foundations of Computer Science, J. Sgall, A. Pultr, and P. Kolman, eds.
    • D. Randall. Decomposition Methods and Sampling Circuits in the Cartesian Lattice. Proc. 5th Symposium on Mathematical Foundations of Computer Science, J. Sgall, A. Pultr, and P. Kolman, eds., in Lecture Notes in Computer Science, 1256: 72-84, 2001.
    • (2001) Lecture Notes in Computer Science , vol.1256 , pp. 72-84
    • Randall, D.1
  • 31
    • 0034345469 scopus 로고    scopus 로고
    • Analyzing Glauber dynamics by comparison of Markov chains
    • D. Randall and P. Tetali. Analyzing Glauber dynamics by comparison of Markov chains. Journal of Mathematical Physics, 41: 1598-1615, 2000.
    • (2000) Journal of Mathematical Physics , vol.41 , pp. 1598-1615
    • Randall, D.1    Tetali, P.2
  • 33
    • 0038967484 scopus 로고    scopus 로고
    • Absence of phase transitions for antiferromagnetic Potts models via the Dobrushin uniqueness theorem
    • J. Salas and A. Sokal. Absence of phase transitions for antiferromagnetic Potts models via the Dobrushin uniqueness theorem. Journal of Statistical Physics, 86: 551-579, 1997.
    • (1997) Journal of Statistical Physics , vol.86 , pp. 551-579
    • Salas, J.1    Sokal, A.2
  • 34
    • 84971804758 scopus 로고
    • Improved bounds for mixing rates of Markov chains and multicommodity flow
    • A.J. Sinclair. Improved bounds for mixing rates of Markov chains and multicommodity flow. Combinatorics, Probability and Computing, 1: 351-370, 1992.
    • (1992) Combinatorics, Probability and Computing , vol.1 , pp. 351-370
    • Sinclair, A.J.1
  • 35
    • 0345271051 scopus 로고    scopus 로고
    • Convergence rates for Monte Carlo experiments
    • Numerical Methods for Polymeric Systems, S.G. Whittington, ed.
    • A.J. Sinclair. Convergence rates for Monte Carlo experiments. Numerical Methods for Polymeric Systems, S.G. Whittington, ed., IMA Volumes in Mathematics and its Applications, 1-18, 1997.
    • (1997) IMA Volumes in Mathematics and Its Applications , pp. 1-18
    • Sinclair, A.J.1
  • 37
    • 0024699930 scopus 로고
    • Approximate counting, uniform generation and rapidly mixing Markov chains
    • A.J. Sinclair and M.R. Jerrum. Approximate counting, uniform generation and rapidly mixing Markov chains. Information and Comput., 82: 93-133, 1989.
    • (1989) Information and Comput. , vol.82 , pp. 93-133
    • Sinclair, A.J.1    Jerrum, M.R.2
  • 38
    • 49249151236 scopus 로고
    • The complexity of computing the permanent
    • L.G. Valiant. The complexity of computing the permanent. Theoretical Computer Sci., 8: 189-201, 1979.
    • (1979) Theoretical Computer Sci. , vol.8 , pp. 189-201
    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.