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Volumn 48, Issue 1, 2000, Pages 21-33

Extremal first passage times for trees

Author keywords

First passage times; Markov chains; Random walks; Trees

Indexed keywords


EID: 3042580976     PISSN: 03081087     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (2)

References (16)
  • 5
    • 0002740591 scopus 로고
    • Geometric bounds for eigenvalues of Markov chains
    • Diaconis, P. and Stroock, D. (1991). Geometric bounds for eigenvalues of Markov chains. The Annals of Appl. Prob., 1, 36-61.
    • (1991) The Annals of Appl. Prob. , vol.1 , pp. 36-61
    • Diaconis, P.1    Stroock, D.2
  • 6
    • 26844523321 scopus 로고
    • Polymer statistics and universality: Principles and applications of cluster renormalization
    • Shlesinger, M. F. and West, B. J. Eds., American Institute of Physics, New York
    • Family, F., "Polymer statistics and universality: Principles and applications of cluster renormalization". In: Random Walks and Their Applications in the Physical and Biological Sciences, Shlesinger, M. F. and West, B. J. Eds., American Institute of Physics, pp. 33-72, New York, 1984.
    • (1984) Random Walks and Their Applications in the Physical and Biological Sciences , pp. 33-72
    • Family, F.1
  • 7
    • 26844580981 scopus 로고    scopus 로고
    • The path resistance method for bounding the smallest nontrivial eigenvalue of a Laplacian
    • New Orleans, See also ICASE Report No. 97-51
    • Guattery, S., Leighton, T. and Miller, G. L., The path resistance method for bounding the smallest nontrivial eigenvalue of a Laplacian. 8th ACM-SIAM Symposium on Discrete Algorithms, New Orleans, 1997. (See also ICASE Report No. 97-51.)
    • (1997) 8th ACM-SIAM Symposium on Discrete Algorithms
    • Guattery, S.1    Leighton, T.2    Miller, G.L.3
  • 8
    • 3142755876 scopus 로고    scopus 로고
    • Graph embedding techniques for bounding condition numbers of incomplete factor preconditioners
    • Submitted See also ICASE Report No. 97-47
    • Guattery, S. (1997). Graph embedding techniques for bounding condition numbers of incomplete factor preconditioners. Submitted to J. Numerical Linear Algebra Appl. (See also ICASE Report No. 97-47.)
    • (1997) J. Numerical Linear Algebra Appl.
    • Guattery, S.1
  • 10
    • 0033242216 scopus 로고    scopus 로고
    • Cutpoint decoupling and first passage times for random walks on graphs
    • Kirkland, S. J. and Neumann, M. (1999). Cutpoint decoupling and first passage times for random walks on graphs. SIAM J. Matrix Anal., 20, 60-70.
    • (1999) SIAM J. Matrix Anal. , vol.20 , pp. 60-70
    • Kirkland, S.J.1    Neumann, M.2
  • 11
    • 0009092564 scopus 로고    scopus 로고
    • Bounds on the subdominant eigenvalue involving group inverses with applications to graphs
    • Kirkland, S. J., Neumann, M. and Shader, B. (1998). Bounds on the subdominant eigenvalue involving group inverses with applications to graphs. Czech. Math. J., 48, 1-20.
    • (1998) Czech. Math. J. , vol.48 , pp. 1-20
    • Kirkland, S.J.1    Neumann, M.2    Shader, B.3
  • 12
    • 0031536270 scopus 로고    scopus 로고
    • Distances in weighted trees and group inverses of Laplacian matrices
    • Kirkland, S. J., Neumann, M. and Shader, B. (1997). Distances in weighted trees and group inverses of Laplacian matrices. SIAM J. Matrix. Anal. Appl., 18, 827-841.
    • (1997) SIAM J. Matrix. Anal. Appl. , vol.18 , pp. 827-841
    • Kirkland, S.J.1    Neumann, M.2    Shader, B.3
  • 13
    • 0016534380 scopus 로고
    • The role of the group generalized inverse in the theory of finite Markov chains
    • Meyer, C. D. Jr. (1975). The role of the group generalized inverse in the theory of finite Markov chains. SIAM Rev., 17, 443-464.
    • (1975) SIAM Rev. , vol.17 , pp. 443-464
    • Meyer Jr., C.D.1
  • 14
    • 38249021945 scopus 로고
    • Uncoupling the Perron eigenvector problem
    • Meyer, C. D. Jr. (1989). Uncoupling the Perron eigenvector problem. Linear Algebra Appl., 114/115, 69-94.
    • (1989) Linear Algebra Appl. , vol.114-115 , pp. 69-94
    • Meyer Jr., C.D.1
  • 15
    • 0009169398 scopus 로고
    • Random walks on random trees
    • Moon, J. W. (1973). Random walks on random trees. J. Australian Math. Soc., 15, 42-53.
    • (1973) J. Australian Math. Soc. , vol.15 , pp. 42-53
    • Moon, J.W.1
  • 16
    • 3943053946 scopus 로고
    • Random-walk model of chain polymer adsorption behavior at critical energy relation to a reflecting boundary condition
    • Shlesinger, M. F. and West, B. J. Eds., American Institute of Physics, New York
    • Rubin, R. J., "Random-walk model of chain polymer adsorption behavior at critical energy relation to a reflecting boundary condition". In: Random Walks and Their Applications in the Physical and Biological Sciences, Shlesinger, M. F. and West, B. J. Eds., American Institute of Physics, pp. 73-83, New York, 1984.
    • (1984) Random Walks and Their Applications in the Physical and Biological Sciences , pp. 73-83
    • Rubin, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.