scholarly journals The global Markov property for equilibrium states which are determined by correlations in a strip

1988 ◽  
Vol 115 (2) ◽  
pp. 177-189 ◽  
Author(s):  
R. Kuik
Keyword(s):  
Markov Property ◽  
Equilibrium States ◽  
Global Markov Property

On the convergence to equilibrium states for certain non-hyperbolic systems

1997 ◽  
Vol 17 (4) ◽  
pp. 977-1000 ◽  
Author(s):  
MICHIKO YURI
Keyword(s):  
Periodic Orbits ◽  
Invariant Measures ◽  
Hyperbolic Systems ◽  
Markov Property ◽  
Standard Technique ◽  
Equilibrium States ◽  
Convergence To Equilibrium ◽  
Invariant Density ◽  
Frobenius Operator ◽  
Uniformly Bounded

We study the convergence to equilibrium states for certain non-hyperbolic piecewise invertible systems. The multi-dimensional maps we shall consider do not satisfy Renyi's condition (uniformly bounded distortion for any iterates) and do not necessarily satisfy the Markov property. The failure of both conditions may cause singularities of densities of the invariant measures, even if they are finite, and causes a crucial difficulty in applying the standard technique of the Perron–Frobenius operator. Typical examples of maps we consider admit indifferent periodic orbits and arise in many contexts. For the convergence of iterates of the Perron–Frobenius operator, we study continuity of the invariant density.

On the Global Markov Property

1980 ◽  
pp. 293-302 ◽  
Author(s):  
Hans Föllmer
Keyword(s):  
Markov Property ◽  
Global Markov Property

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

1986 ◽  
Vol 43 (3-4) ◽  
pp. 687-705 ◽  
Author(s):  
Boguslaw Zegarliński
Keyword(s):  
Gibbs Measures ◽  
Markov Property ◽  
Global Markov Property

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

1979 ◽  
Vol 68 (2) ◽  
pp. 95-128 ◽  
Author(s):  
Sergio Albeverio ◽  
Raphael H�egh-Krohn
Keyword(s):  
Markov Property ◽  
Global Markov Property

scholarly journals Remarks on the global Markov property

1980 ◽  
Vol 74 (3) ◽  
pp. 223-234 ◽  
Author(s):  
Sheldon Goldstein
Keyword(s):  
Markov Property ◽  
Global Markov Property

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

1987 ◽  
Vol 21 (1) ◽  
pp. 158-167 ◽  
Author(s):  
Boguslaw Zegarliński
Keyword(s):  
Markov Property ◽  
Global Markov Property

Uniqueness and Global Markov Property for Euclidean Fields and Lattice Systems

1980 ◽  
pp. 303-329 ◽  
Author(s):  
Sergio Albeverio ◽  
Raphael Høegh-Krohn
Keyword(s):  
Markov Property ◽  
Lattice Systems ◽  
Global Markov Property
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