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Volumn 202, Issue 2, 2003, Pages 473-485

On the log-Sobolev constant for the simple random walk on the n-cycle: The even cases

Author keywords

Log Sobolev constant; Mixing time; n cycle; Random walk; Spectral gap

Indexed keywords


EID: 0041657378     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1236(03)00048-X     Document Type: Article
Times cited : (11)

References (8)
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    • (2003)
    • Aldous, D.1    Fill, J.A.2
  • 2
    • 0030487036 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities for finite Markov chains
    • P. Diaconis, L. Saloff-Coste, Logarithmic Sobolev inequalities for finite Markov chains, Ann. Appl. Probab. 6 (1996) 695-750.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 695-750
    • Diaconis, P.1    Saloff-Coste, L.2
  • 3
    • 0001429116 scopus 로고
    • Logarithmic Sobolev inequalities
    • L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97 (1975) 1061-1083.
    • (1975) Amer. J. Math. , vol.97 , pp. 1061-1083
    • Gross, L.1
  • 4
    • 0002236459 scopus 로고
    • Logarithmic Sobolev inequalities and contractivity properties of semigroups
    • 1563 Springer, Berlin
    • L. Gross, Logarithmic Sobolev inequalities and contractivity properties of semigroups, Lecture Notes in Mathematics, Vol. 1563, Springer, Berlin, 1993, pp. 54-88.
    • (1993) Lecture Notes in Mathematics , pp. 54-88
    • Gross, L.1
  • 5
    • 0000170287 scopus 로고
    • Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
    • C.E. Mueller, F. Weissler, Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere, J. Funct. Anal. 48 (1982) 252-283.
    • (1982) J. Funct. Anal. , vol.48 , pp. 252-283
    • Mueller, C.E.1    Weissler, F.2
  • 6
    • 84968517521 scopus 로고
    • Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators
    • O.S. Rothaus, Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators, J. Funct. Anal. 39 (1980) 42-56.
    • (1980) J. Funct. Anal. , vol.39 , pp. 42-56
    • Rothaus, O.S.1
  • 7
    • 0000247777 scopus 로고
    • Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators
    • O.S. Rothaus, Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators, J. Funct. Anal. 42 (1981) 110-120.
    • (1981) J. Funct. Anal. , vol.42 , pp. 110-120
    • Rothaus, O.S.1
  • 8
    • 0000858580 scopus 로고    scopus 로고
    • Lectures on finite Markov chains
    • Ecole d'Eté de Probabilités de Saint Flour XXVI-1996, 1665, Springer, Berlin
    • L. Saloff-Coste, Lectures on finite Markov chains, Ecole d'Eté de Probabilités de Saint Flour XXVI-1996, Lecture Notes in Mathematics, Vol. 1665, Springer, Berlin, 1997, pp. 301 -413.
    • (1997) Lecture Notes in Mathematics , pp. 301-413
    • Saloff-Coste, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.