-
4
-
-
0004133384
-
-
Addison-Wesley, Reading, MA
-
D. Ruelle, Statistical Mechanics. The Rigorous Results (Benjamin, New York, 1969); also Thermodynamical Formalism (Addison-Wesley, Reading, MA, 1978).
-
(1978)
Thermodynamical Formalism
-
-
-
6
-
-
0039399475
-
Random fields
-
Springer-Verlag, Berlin, and references therein
-
C. Preston, Random Fields, in Lecture Notes in Mathematics (Springer-Verlag, Berlin, 1975), Vol. 534, and references therein.
-
(1975)
Lecture Notes in Mathematics
, vol.534
-
-
Preston, C.1
-
7
-
-
0006513617
-
Canonical Gibbs measures
-
Springer-Verlag, Berlin
-
H. O. Georgi, Canonical Gibbs Measures, Lecture Notes in Mathematics (Springer-Verlag, Berlin, 1976), Vol. 760.
-
(1976)
Lecture Notes in Mathematics
, vol.760
-
-
Georgi, H.O.1
-
10
-
-
0001200558
-
Existence of a phase transition in a continuous classical systems
-
D. Ruelle, "Existence of a phase transition in a continuous classical systems," Phys. Rev. Lett. 27, 1040 (1971).
-
(1971)
Phys. Rev. Lett.
, vol.27
, pp. 1040
-
-
Ruelle, D.1
-
11
-
-
0000599984
-
First order phase transitions in lattice and continuous systems: Extension of Pirogov-Sinai theory
-
J. Bricmont, K. Kuroda, and J. L. Lebowitz, "First order phase transitions in lattice and continuous systems: Extension of Pirogov-Sinai theory," Commun. Math. Phys. 101, 501-539 (1985).
-
(1985)
Commun. Math. Phys.
, vol.101
, pp. 501-539
-
-
Bricmont, J.1
Kuroda, K.2
Lebowitz, J.L.3
-
12
-
-
0039896238
-
The structure of Gibbs states and phase coexistence for nonsymmetric continuum Widom Rowlinson model
-
J. Bricmont, K. Kuroda, and J. L. Lebowitz, "The structure of Gibbs states and phase coexistence for nonsymmetric continuum Widom Rowlinson model," Z Wahrscheinlicht Verw. Geb. 67, 121-138 (1984).
-
(1984)
Z Wahrscheinlicht Verw. Geb.
, vol.67
, pp. 121-138
-
-
Bricmont, J.1
Kuroda, K.2
Lebowitz, J.L.3
-
14
-
-
0009146471
-
Correlation inequalities and the thermodynamic limit for classical and quantum continuous systems
-
J. Fröchlich and Y. M. Park, "Correlation inequalities and the thermodynamic limit for classical and quantum continuous systems," Commun. Math. Phys. 59, 235-266 (1978).
-
(1978)
Commun. Math. Phys.
, vol.59
, pp. 235-266
-
-
Fröchlich, J.1
Park, Y.M.2
-
15
-
-
0000642768
-
Correlation inequalities and the thermodynamic limit for classical and quantum continuous systems. II Bose-Einstein and Fermi-Dirac statistics
-
J. Fröchlich and Y. M. Park, "Correlation inequalities and the thermodynamic limit for classical and quantum continuous systems. II Bose-Einstein and Fermi-Dirac statistics," J. Stat. Phys. 27, 701-753 (1980).
-
(1980)
J. Stat. Phys.
, vol.27
, pp. 701-753
-
-
Fröchlich, J.1
Park, Y.M.2
-
17
-
-
0009222370
-
Lack of screening in the continuous dipole systems
-
Y. M. Park, "Lack of screening in the continuous dipole systems," Commun. Math. Phys. 70, 161-167 (1979).
-
(1979)
Commun. Math. Phys.
, vol.70
, pp. 161-167
-
-
Park, Y.M.1
-
18
-
-
0001625202
-
A rigorous approach to Debye screening in dilute classical Coulomb systems
-
D. Brydges and P. A. Federbush, "A rigorous approach to Debye screening in dilute classical Coulomb systems," Commun. Math. Phys. 58, 313-350 (1978).
-
(1978)
Commun. Math. Phys.
, vol.58
, pp. 313-350
-
-
Brydges, D.1
Federbush, P.A.2
-
19
-
-
0002467063
-
Debye screening in dilute classical Coulomb systems
-
D. Brydges and P. A. Federbush, "Debye screening in dilute classical Coulomb systems," Commun. Math. Phys. 73, 197-246 (1980).
-
(1980)
Commun. Math. Phys.
, vol.73
, pp. 197-246
-
-
Brydges, D.1
Federbush, P.A.2
-
20
-
-
0001479370
-
Debye screening for jelium and other Coulomb systems
-
J. Z. Imbrie, "Debye screening for jelium and other Coulomb systems," Commun. Math. Phys. 87, 515-565 (1983).
-
(1983)
Commun. Math. Phys.
, vol.87
, pp. 515-565
-
-
Imbrie, J.Z.1
-
21
-
-
0039399459
-
Cluster expansion for ion-dipole systems
-
in Russian
-
A. L. Rebenko, "Cluster expansion for ion-dipole systems," Theor. Math. Phys. 53, 1224-1234 (1982) (in Russian).
-
(1982)
Theor. Math. Phys.
, vol.53
, pp. 1224-1234
-
-
Rebenko, A.L.1
-
22
-
-
0039991564
-
Debye screening in spatially homogeneous systems of charged particles. I. A model of a spherical insulator. II. A proof of convergence of cluster expansions
-
A. I. Pilyavskii and A. L. Rebenko, "Debye screening in spatially homogeneous systems of charged particles. I. A model of a spherical insulator. II. A proof of convergence of cluster expansions," Theor. Math. Phys. 69, 1127-1136 (1987); 70, 195-203 (1987) (in Russian).
-
(1987)
Theor. Math. Phys.
, vol.69
, pp. 1127-1136
-
-
Pilyavskii, A.I.1
Rebenko, A.L.2
-
23
-
-
0040584631
-
-
in Russian
-
A. I. Pilyavskii and A. L. Rebenko, "Debye screening in spatially homogeneous systems of charged particles. I. A model of a spherical insulator. II. A proof of convergence of cluster expansions," Theor. Math. Phys. 69, 1127-1136 (1987); 70, 195-203 (1987) (in Russian).
-
(1987)
Theor. Math. Phys.
, vol.70
, pp. 195-203
-
-
-
24
-
-
0040584669
-
Equilibrium equations for the class of continuous systems with positive-definite two-body interactions
-
in Russian
-
R. Gielerak, "Equilibrium equations for the class of continuous systems with positive-definite two-body interactions," Theor. Math. Phys. 67, 289 (1986) (in Russian).
-
(1986)
Theor. Math. Phys.
, vol.67
, pp. 289
-
-
Gielerak, R.1
-
25
-
-
0040584674
-
Equilibrium equations for the class of continuous systems with superstable, positive-definite pair potential
-
in Russian
-
R. Gielerak, "Equilibrium equations for the class of continuous systems with superstable, positive-definite pair potential," Theor. Math. Phys. 76, 418-423 (1988) (in Russian).
-
(1988)
Theor. Math. Phys.
, vol.76
, pp. 418-423
-
-
Gielerak, R.1
-
26
-
-
0040584675
-
Bounded perturbations of the Gaussian generalized random fields
-
R. Gielerak, "Bounded perturbations of the Gaussian generalized random fields," J. Math. Phys. 32, 2329-2336 (1991).
-
(1991)
J. Math. Phys.
, vol.32
, pp. 2329-2336
-
-
Gielerak, R.1
-
27
-
-
0039991563
-
On the phase diagram for a class of continuous systems
-
R. Gielerak, "On the phase diagram for a class of continuous systems," J. Math. Phys. 33, 68-84 (1992).
-
(1992)
J. Math. Phys.
, vol.33
, pp. 68-84
-
-
Gielerak, R.1
-
28
-
-
0039991568
-
Measures and support in functional integration
-
edited by H. Ezawa and X. Skamefuchi Elsevier, New York
-
J. R. Klauder, "Measures and support in functional integration," in Progress in Quantum Field Theory, edited by H. Ezawa and X. Skamefuchi (Elsevier, New York, 1986).
-
(1986)
Progress in Quantum Field Theory
-
-
Klauder, J.R.1
-
29
-
-
0041178787
-
Local relativistic invariant flows for quantum fields
-
S. Albeverio, P. Blanchard, R. Combe, R. Hoegh-Kröhn, and M. Sirugue, "Local relativistic invariant flows for quantum fields," Commun. Math. Phys. 90, 329-351 (1983).
-
(1983)
Commun. Math. Phys.
, vol.90
, pp. 329-351
-
-
Albeverio, S.1
Blanchard, P.2
Combe, R.3
Hoegh-Kröhn, R.4
Sirugue, M.5
-
30
-
-
0000014702
-
Random fields as solutions of the inhomogeneous quaternionic Cauchy-Reimann equation. I. Invariance and analytic continuation
-
S. Albeverio, K. Iwata, and T. Kolsrud, "Random fields as solutions of the inhomogeneous Quaternionic Cauchy-Reimann equation. I. Invariance and analytic continuation," Commun. Math. Phys. 132, 555-580 (1990).
-
(1990)
Commun. Math. Phys.
, vol.132
, pp. 555-580
-
-
Albeverio, S.1
Iwata, K.2
Kolsrud, T.3
-
31
-
-
0011331713
-
Covariant Markovian random fields in four space-time dimensions with nonlinear electromagnetic interaction
-
Applications of self-Adjoint extensions in Quantum Physics, Proceedings of the Dubna Conference 1987, edited by P. Exner and P. Seba, Springer
-
S. Albeverio, K. Iwata, and T. Kolsrud, "Covariant Markovian random fields in four space-time dimensions with nonlinear electromagnetic interaction," in Applications of self-Adjoint extensions in Quantum Physics, Proceedings of the Dubna Conference 1987, edited by P. Exner and P. Seba, Springer, Lecture Notes in Physics 1989, Vol. 324.
-
(1989)
Lecture Notes in Physics
, vol.324
-
-
Albeverio, S.1
Iwata, K.2
Kolsrud, T.3
-
34
-
-
0039399456
-
Poisson fields representation in the statistical mechanics of continuous systems
-
Proceedings of the Blosen Conference, Berlin, May 1993, edited by E. Neidhart
-
R. Gielerak and A. I. Rebenko, "Poisson fields representation in the statistical mechanics of continuous systems," Proceedings of the Blosen Conference, Berlin, May 1993, edited by E. Neidhart; J. Op. Theory Adv. Appl. 70 (1994).
-
(1994)
J. Op. Theory Adv. Appl.
, vol.70
-
-
Gielerak, R.1
Rebenko, A.I.2
-
36
-
-
21144482314
-
Poisson measure representation and cluster expansion in classical statistical mechanics
-
A. I. Rebenko, "Poisson measure representation and cluster expansion in classical statistical mechanics," Commun. Math. Phys. 151, 427-435 (1993).
-
(1993)
Commun. Math. Phys.
, vol.151
, pp. 427-435
-
-
Rebenko, A.I.1
-
37
-
-
0000180793
-
On multiple Poisson stochastic integrals and associated Markov semigroups
-
D. Surgalis, "On multiple Poisson stochastic integrals and associated Markov semigroups," Prob. Math. Stat. 3, 217-239 (1984).
-
(1984)
Prob. Math. Stat.
, vol.3
, pp. 217-239
-
-
Surgalis, D.1
-
38
-
-
84972497493
-
Calculus on Gaussian and Poisson white noises
-
Y. Ito and I. Kubo, "Calculus on Gaussian and Poisson white noises," Nagoya Math. J. 111, 41-84 (1988).
-
(1988)
Nagoya Math. J.
, vol.111
, pp. 41-84
-
-
Ito, Y.1
Kubo, I.2
-
39
-
-
0006772004
-
Generalized Poisson functionals
-
Y. Ito, "Generalized Poisson functionals," Prob. Theory Relat. Fields 77, 1-28 (1988).
-
(1988)
Prob. Theory Relat. Fields
, vol.77
, pp. 1-28
-
-
Ito, Y.1
-
42
-
-
84985316714
-
Integral and differential characterization of the Gibbs process
-
X. X. Nqyen and H. Zessin, "Integral and differential characterization of the Gibbs process," Math. 88, 105-115 (1979).
-
(1979)
Math.
, vol.88
, pp. 105-115
-
-
Nqyen, X.X.1
Zessin, H.2
-
43
-
-
0001174680
-
Superstable interactions in classical statistical mechanics
-
D. Ruelle, "Superstable interactions in classical statistical mechanics," Commun. Math. Phys. 18, 127 (1970).
-
(1970)
Commun. Math. Phys.
, vol.18
, pp. 127
-
-
Ruelle, D.1
-
44
-
-
0001235413
-
The description of a random field by means of conditional probabilities and conditions of its regularity
-
R. L. Dobrushin, "The description of a random field by means of conditional probabilities and conditions of its regularity," Theor. Prob. Appl. 13, 197-224 (1968).
-
(1968)
Theor. Prob. Appl.
, vol.13
, pp. 197-224
-
-
Dobrushin, R.L.1
-
45
-
-
4244080486
-
On equivalence of spin field pictures of lattice systems
-
B. Zegarliński, "On equivalence of spin field pictures of lattice systems," J. Stat. Phys. 59, 1511-1530 (1990).
-
(1990)
J. Stat. Phys.
, vol.59
, pp. 1511-1530
-
-
Zegarliński, B.1
-
46
-
-
0008064644
-
2-model and other applications of high temperature expansions, Part I, II
-
Constructive Field Theory, Springer-Verlag, Berlin
-
2-model and other applications of high temperature expansions, Part I, II," in Constructive Field Theory, Lecture Notes in Physics 25 (Springer-Verlag, Berlin, 1973), pp. 132-242.
-
(1973)
Lecture Notes in Physics
, vol.25
, pp. 132-242
-
-
Glimm, J.1
Jaffe, A.2
Spencer, T.3
-
47
-
-
0009143882
-
The cluster expansion in statistical mechanics
-
D. Brydges and P. A. Federbush, "The cluster expansion in statistical mechanics," Commun. Math. Phys. 49, 233-246 (1976).
-
(1976)
Commun. Math. Phys.
, vol.49
, pp. 233-246
-
-
Brydges, D.1
Federbush, P.A.2
-
48
-
-
0000708826
-
A new form of the Mayer expansion in classical statistical mechanics
-
D. Brydges and P. A. Federbush, "A new form of the Mayer expansion in classical statistical mechanics," J. Math. Phys. 19, 2064-2067 (1978).
-
(1978)
J. Math. Phys.
, vol.19
, pp. 2064-2067
-
-
Brydges, D.1
Federbush, P.A.2
-
49
-
-
84956242661
-
Mathematical foundations of equilibrium classical statistical mechanics of charged particles
-
A. L. Rebenko, "Mathematical foundations of equilibrium classical statistical mechanics of charged particles," Russ. Math. Surveys 43, 55-97 (1988).
-
(1988)
Russ. Math. Surveys
, vol.43
, pp. 55-97
-
-
Rebenko, A.L.1
-
50
-
-
0001938617
-
A new combinatorial estimate for cluster expansions
-
G. A. Battle and P. A. Federbush, "A new combinatorial estimate for cluster expansions," Commun. Math. Phys. 91, 133-139 (1984).
-
(1984)
Commun. Math. Phys.
, vol.91
, pp. 133-139
-
-
Battle, G.A.1
Federbush, P.A.2
-
52
-
-
0039399454
-
An upper bound on the critical temperature for a continuous system with short-range interaction
-
J. G. Conlon, "An upper bound on the critical temperature for a continuous system with short-range interaction," J. Stat. Phys. 58, 265-293 (1990).
-
(1990)
J. Stat. Phys.
, vol.58
, pp. 265-293
-
-
Conlon, J.G.1
-
53
-
-
4244080488
-
Uniqueness theorem for a class of continuous systems
-
R. Gielerak, "Uniqueness theorem for a class of continuous systems," Physica A 189, 348-366 (1992).
-
(1992)
Physica A
, vol.189
, pp. 348-366
-
-
Gielerak, R.1
-
54
-
-
0039399458
-
Phase transitions in gas of hard core spheres
-
M. Gorzelańczyk, "Phase transitions in gas of hard core spheres," Commun. Math. Phys. 136, 43 (1991).
-
(1991)
Commun. Math. Phys.
, vol.136
, pp. 43
-
-
Gorzelańczyk, M.1
-
55
-
-
0010820730
-
Phase transition and Martin boundary
-
Sem de Probabilities IX, Strassbourg
-
H. Fölmer, "Phase transition and Martin boundary," in Sem de Probabilities IX, Lecture Notes in Mathematics, Strassbourg, 1975, Vol. 465, pp. 305-307.
-
(1975)
Lecture Notes in Mathematics
, vol.465
, pp. 305-307
-
-
Fölmer, H.1
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