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Phase transition and Martin boundary

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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The exit measure of a supermartingale
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Construction of a one-dimensional quantum field by means of a continuous markov field
inferredcites →https://doi.org/10.1007/bf01645650openalex-snapshot
Two remarks on extremal equilibrium states
inferredcites →https://doi.org/10.1007/bf01645907openalex-snapshot
Existence of a phase-transition in a one-dimensional Ising ferromagnet
inferredcites →https://doi.org/10.1007/bfb0081631openalex-snapshot
Un lemme de théorie des martingales
inferredcites →https://doi.org/10.1016/0022-1236(73)90025-6openalex-snapshot
The free Markoff field
inferredcites →https://doi.org/10.1137/1113026openalex-snapshot
The Description of a Random Field by Means of Conditional Probabilities and Conditions of Its Regularity
inferredcites →https://doi.org/10.21136/cpmf.1950.122339openalex-snapshot
Linear operators. [I.]
inferredcites →https://doi.org/10.2307/1970988openalex-snapshot
The P(φ) 2 Euclidean Quantum Field Theory as Classical Statistical Mechanics
inferredcites →https://doi.org/10.2307/2283907openalex-snapshot
Probability Measures on Metric Spaces.
inferredcites →https://doi.org/10.5169/seals-114503openalex-snapshot
Positivity of the Hamiltonian semigroup and the construction of Euclidean region fields

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Ergodicity of canonical Gibbs measures with respect to the diffeomorphism group
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Ergodicity for the Stochastic Dynamics of Quasi-invariant Measures with Applications to Gibbs States
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Analysis and Geometry on Configuration Spaces: The Gibbsian Case
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Topics in infinite dimensional analysis
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Random Spin Systems with Long-Range Interactions
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Martin Boundaries on Wiener Space
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Spatial Risk Measures: Local Specification and Boundary Risk
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Origins and Generation of Long Memory
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Phase Transitions, Goldstone Bosons and Topological Superselection Rules
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Construction of Specifications
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On the Global Markov Property
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Processus D’Ornstein Uhlenbeck Generalise. Mesures Stationnaires dans le cas Gaussien
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Dyson Models Under Renormalization and in Weak Fields
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On log-Sobolev inequalities for infinite lattice systems
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Existence of compatible families of proper regular conditional probabilities
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Canonical and microcanonical Gibbs states
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On canonical Gibbs states, symmetric and tail events
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A note on specifications
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Canonical gibbs states, their relation to gibbs states, and applications to two-valued Markov chains
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Ergodic decomposition of probability laws
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Almost sure entropy and the variational principle for random fields with unbounded state space
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Martin-Dynkin boundary of mixed poisson processes
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Classical dirichlet forms on topological vector spaces-the construction of the associated diffusion process
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Conditioned super-Brownian motion
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Spin glasses with long-range interaction at high temperatures
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On the absence of spontaneous symmetry breaking and of crystalline ordering in two-dimensional systems
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Uniqueness of Gibbs states for generalP(?)2-weak coupling models by cluster expansion
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The Gibbs measures and partial differential equations
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Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions
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Uniqueness and the global Markov property for Euclidean fields: The case of general exponential interaction
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Log-Sobolev inequalities for infinite one dimensional lattice systems
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Interactions and pressure functionals for disordered lattice systems
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Zur topologischen Beschreibung stochastischer Felder mit verallgemeinerten Spezifikationen
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Random fields: Applications in cell biology
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Sufficient statistics for the Brownian sheet
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Séminaire de Probabilités IX Université de Strasbourg
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Thermodynamic Formalism for Transient Potential Functions
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Some Skorohod-type results
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Almost Gibbsianness and Parsimonious Description of the Decimated 2d-Ising Model
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The Pólya Sum Process: Limit Theorems for Conditioned Random Fields
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Characterizing Measures According to Their Radon–Nikodym Cocycles: Canonical Marked Gibbs Measures Under the Action of the Diffeomorphism Group
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Phase transition in one-dimensional nearest-neighbor systems
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Dobrushin uniqueness theorem and logarithmic Sobolev inequalities
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Local perturbations of conditional expectations
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Doob–Martin compactification of a Markov chain for growing random words sequentially
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Decimation of the Dyson–Ising ferromagnet
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An extension of de Finetti's theorem
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Gibbs States on Space-time
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On the Poisson integrals representation in the classical statistical mechanics of continuous systems
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Decimations for two-dimensional Ising and rotator models
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Decimations for One- and Two-dimensional Ising and Rotator Models II: Continuous versus Discrete Symmetries
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Markov Property of Extremal Local Fields
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On the Ergodic Decomposition of Gibbs Random Fields for Ferromagnetic Abelian Lattice Models
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On Extreme Rays and the Integral Representation in a Cone of Supermartingales
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AN INVARIANCE PRINCIPLE FOR THE TAGGED PARTICLE PROCESS IN CONTINUUM WITH SINGULAR INTERACTION POTENTIAL
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Doob–Martin boundary of Rémy’s tree growth chain
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Uniqueness in ergodic decomposition of invariant probabilities
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Spatial risk measures and their local specification: The locally law-invariant case
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Champs markoviens et mesures de Gibbs sur ${R}$
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A note on standard borel and related spaces
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Interactions, specifications, DLR probabilities and the Ruelle operator in the one-dimensional lattice
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A Remark on Disintegrations With Almost All Components Non -Additive
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Some Notes on Standard Borel and Related Spaces
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Refining quasi-probability kernels
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Marked Gibbs measures via cluster expansion
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Stochastic analysis on configuration spaces: basic ideas and recent results
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