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1.

図書

図書
edited by Massimo Picardello, Wolfgang Woess
出版情報: Cambridge : Cambridge University Press, 1999  viii, 361 p. ; 24 cm
シリーズ名: Symposia mathematica ; v. 39
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2.

図書

図書
Walter E. Thirring ; with foreword by Elliott H. Lieb
出版情報: Providence, R.I. : American Mathematical Society, c1998  xiii, 729 p. ; 26 cm
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3.

図書

図書
by Y.M. Berezansky and Y.G. Kondratiev
出版情報: Dordrecht ; Boston : Kluwer Academic, c1995  2 v. ; 25 cm
シリーズ名: Mathematical physics and applied mathematics ; v. 12
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4.

図書

図書
Boris Nahapetian
出版情報: Stuttgart : Teubner, 1991  244 p. ; 21 cm
シリーズ名: Teubner-Texte zur Mathematik ; Bd. 123
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5.

図書

図書
Rick Durrett, Harry Kesten, editors
出版情報: Boston : Birkhäuser, 1991  ix, 455 p. ; 24 cm
シリーズ名: Progress in probability ; 28
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6.

図書

図書
Hagen Kleinert
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1990  xxi, 664 p. ; 23 cm
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7.

図書

図書
A. Ranfagni ... [et al]
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1990  xi, 226 p. ; 24 cm
シリーズ名: World Scientific lecture notes in physics ; v. 36
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8.

図書

図書
edited by Eric Goles and Servet Martínez
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1992  x, 207 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 75
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9.

図書

図書
D.J.A. Welsh
出版情報: Cambridge : Cambridge University Press, 1993  viii, 163 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 186
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目次情報: 続きを見る
The complexity of enumeration / 1:
Basics of complexity / 1.1:
Counting problems / 1.2:
# P-complete problems / 1.3:
Decision easy, counting hard / 1.4:
The Permanent / 1.5:
Hard enumeration problems not thought to be #P-complete / 1.6:
Self-avoiding walks / 1.7:
Toda's theorems / 1.8:
Additional notes / 1.9:
Knots and links / 2:
Introduction / 2.1:
Tait colourings / 2.2:
Classifying knots / 2.3:
Braids and the braid group / 2.4:
The braid index and the Seifert graph of a link / 2.5:
Enzyme action / 2.6:
The number of knots and links / 2.7:
The topology of polymers / 2.8:
Colourings, flows and polynomials / 2.9:
The chromatic polynomial / 3.1:
The Whitney-Tutte polynomials / 3.2:
Tutte Grothendieck invariants / 3.3:
Reliability theory / 3.4:
Flows over an Abelian group / 3.5:
Ice models / 3.6:
A catalogue of invariants / 3.7:
Statistical physics / 3.8:
Percolation processes / 4.1:
The Ising model / 4.2:
Combinatorial interpretations / 4.3:
The Ashkin-Teller-Potts model / 4.4:
The random cluster model / 4.5:
Percolation in the random cluster model / 4.6:
Link polynomials and the Tait conjectures / 4.7:
The Alexander polynomial / 5.1:
The Jones polynomial and Kauffman bracket / 5.2:
The Homfly polynomial / 5.3:
The Kauffman 2-variable polynomial / 5.4:
The Tait conjectures / 5.5:
Thistlethwaite's nontriviality criterion / 5.6:
Link invariants and statistical mechanics / 5.7:
Complexity questions / 5.8:
Computations in knot theory / 6.1:
The complexity of the Tutte plane / 6.2:
The complexity of knot polynomials / 6.3:
The complexity of the Ising model / 6.4:
Reliability and other computations / 6.5:
The complexity of uniqueness and parity / 6.6:
Unique solutions / 7.1:
Unambiguous machines and one-way functions / 7.2:
The Valiant-Vazirani theorem / 7.3:
Hard counting problems not parsimonious with SAT / 7.4:
The curiosity of parity / 7.5:
Toda's theorem on parity / 7.6:
Approximation and randomisation / 7.7:
Metropolis methods / 8.1:
Approximating to within a ratio / 8.2:
Generating solutions at random / 8.3:
Rapidly mixing Markov chains / 8.4:
Computing the volume of a convex body / 8.5:
Approximations and the Ising model / 8.6:
Some open questions / 8.7:
References / 8.8:
The complexity of enumeration / 1:
Basics of complexity / 1.1:
Counting problems / 1.2:
10.

図書

図書
V.A. Malyshev, R.A. Minlos
出版情報: Providence, R.I. : American Mathematical Society, c1995  viii, 298 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 143
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目次情報: 続きを見る
Introduction
Extended introduction
Construction of a nonequilibrium dynamics
Construction of an equilibrium dynamics
Spectral analysis of the Euclidean field transfer matrix
Asymptotic completeness for interacting fermion systems
The method of Bethe-Salpeter kernels (Dyson's equation)
Guide to the Literature
References
Introduction
Extended introduction
Construction of a nonequilibrium dynamics
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