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1.

図書
図書
1. Random walks and discrete potential theory : Cortona 1997
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
2. Selected papers of Walter E. Thirring with commentaries
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
3. Introduction to mathematical statistical physics
R.A. Minlos
出版情報: Providence, RI : American Mathematical Society, c2000  vii, 103 p. ; 26 cm
シリーズ名: University lecture series ; v. 19
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4.

図書
図書
4. Spectral methods in infinite-dimensional analysis (v. 1 ; v. 2)
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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5.

図書
図書
5. Limit theorems and some applications in statistical physics
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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6.

図書
図書
6. Random walks, Brownian motion and interacting particle systems : a festschrift in honor of Frank Spitzer (: us ; : gw)
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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7.

図書
図書
7. Path integrals in quantum mechanics, statistics, and polymer physics (: pbk)
Hagen Kleinert
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1990  xxi, 664 p. ; 23 cm
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8.

図書
図書
8. Trajectories and rays : the path-summation in quantum mechanics and optics (vol. 1)
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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9.

図書
図書
9. Statistical physics, automata networks and dynamical systems
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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10.

図書
図書
10. Complexity : knots, colourings and counting
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：
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