Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions

Sergio Albeverio; Raphael H�egh-Krohn; Boguslav Zegarlinski

doi:10.1007/bf01238808

Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions

Communications in Mathematical Physics ◽

10.1007/bf01238808 ◽

1989 ◽

Vol 123 (3) ◽

pp. 377-424 ◽

Cited By ~ 17

Author(s):

Sergio Albeverio ◽

Raphael H�egh-Krohn ◽

Boguslav Zegarlinski

Keyword(s):

Markov Property ◽

General Polynomial ◽

Global Markov Property

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On the Global Markov Property

Quantum Fields — Algebras, Processes ◽

10.1007/978-3-7091-8598-8_19 ◽

1980 ◽

pp. 293-302 ◽

Cited By ~ 16

Author(s):

Hans Föllmer

Keyword(s):

Markov Property ◽

Global Markov Property

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Uniqueness and the global Markov property for Euclidean fields: The case of general exponential interaction

Communications in Mathematical Physics ◽

10.1007/bf01240220 ◽

1984 ◽

Vol 96 (2) ◽

pp. 195-221 ◽

Cited By ~ 20

Author(s):

Bogusław Zegarliński

Keyword(s):

Markov Property ◽

Exponential Interaction ◽

Global Markov Property

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Extremality and the global Markov property II: The global markov property for non-FKG maximal Gibbs measures

Journal of Statistical Physics ◽

10.1007/bf01020660 ◽

1986 ◽

Vol 43 (3-4) ◽

pp. 687-705 ◽

Cited By ~ 3

Author(s):

Boguslaw Zegarliński

Keyword(s):

Gibbs Measures ◽

Markov Property ◽

Global Markov Property

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Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions

Communications in Mathematical Physics ◽

10.1007/bf01418123 ◽

1979 ◽

Vol 68 (2) ◽

pp. 95-128 ◽

Cited By ~ 62

Author(s):

Sergio Albeverio ◽

Raphael H�egh-Krohn

Keyword(s):

Markov Property ◽

Global Markov Property

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Attractiveness of interactions for binary lattice systems and the global Markov property

Stochastic Processes and their Applications ◽

10.1016/0304-4149(87)90021-4 ◽

1987 ◽

Vol 24 (2) ◽

pp. 309-313 ◽

Cited By ~ 3

Author(s):

Christoph Kessler

Keyword(s):

Markov Property ◽

Lattice Systems ◽

Binary Lattice ◽

Global Markov Property

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Remarks on the global Markov property

Communications in Mathematical Physics ◽

10.1007/bf01952887 ◽

1980 ◽

Vol 74 (3) ◽

pp. 223-234 ◽

Cited By ~ 29

Author(s):

Sheldon Goldstein

Keyword(s):

Markov Property ◽

Global Markov Property

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Extremality and the global Markov property. I. The Euclidean fields on a lattice

Journal of Multivariate Analysis ◽

10.1016/0047-259x(87)90104-7 ◽

1987 ◽

Vol 21 (1) ◽

pp. 158-167 ◽

Cited By ~ 4

Author(s):

Boguslaw Zegarliński

Keyword(s):

Markov Property ◽

Global Markov Property

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Uniqueness and Global Markov Property for Euclidean Fields and Lattice Systems

Quantum Fields — Algebras, Processes ◽

10.1007/978-3-7091-8598-8_20 ◽

1980 ◽

pp. 303-329 ◽

Cited By ~ 4

Author(s):

Sergio Albeverio ◽

Raphael Høegh-Krohn

Keyword(s):

Markov Property ◽

Lattice Systems ◽

Global Markov Property

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A remark on the global Markov property for the $d$-dimensional Ising model

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.60.49 ◽

1984 ◽

Vol 60 (2) ◽

pp. 49-52 ◽

Cited By ~ 4

Author(s):

Yasunari Higuchi

Keyword(s):

Ising Model ◽

Markov Property ◽

Global Markov Property

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Nonstandard conditions for the global Markov property for lattice fields

Acta Applicandae Mathematicae ◽

10.1007/bf00047094 ◽

1986 ◽

Vol 7 (3) ◽

pp. 225-256

Author(s):

Christoph Kessler

Keyword(s):

Markov Property ◽

Nonstandard Conditions ◽

Global Markov Property

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