An intermediate phase with slow decay of correlations in one dimensional 1/|x?y|2 percolation, Ising and Potts models

1988 ◽  
Vol 118 (2) ◽  
pp. 303-336 ◽  
Author(s):  
J. Z. Imbrie ◽  
C. M. Newman
Keyword(s):  
Intermediate Phase ◽  
Decay Of Correlations ◽  
Potts Models ◽  
One Dimensional ◽  
Slow Decay

On the critical dynamics of one-dimensional Potts models

1986 ◽  
Vol 19 (13) ◽  
pp. 2671-2673 ◽  
Author(s):  
M Droz ◽  
J Kamphorst Leal da Silva ◽  
A Malaspinas ◽  
J Yeomans
Keyword(s):  
Critical Dynamics ◽  
Potts Models ◽  
One Dimensional

scholarly journals Rates in almost sure invariance principle for quickly mixing dynamical systems

2019 ◽  
Vol 20 (01) ◽  
pp. 2050002
Author(s):  
C. Cuny ◽  
J. Dedecker ◽  
A. Korepanov ◽  
F. Merlevède
Keyword(s):  
Brownian Motion ◽  
Dynamical Systems ◽  
Large Class ◽  
Exponential Decay ◽  
Invariance Principle ◽  
Decay Of Correlations ◽  
Hölder Continuous ◽  
One Dimensional ◽  
Exponential Decay Of Correlations ◽  
Stretched Exponential Decay

For a large class of quickly mixing dynamical systems, we prove that the error in the almost sure approximation with a Brownian motion is of order [Formula: see text] with [Formula: see text]. Specifically, we consider nonuniformly expanding maps with exponential and stretched exponential decay of correlations, with one-dimensional Hölder continuous observables.

Non-universal critical dynamics of the one-dimensional Potts models

1989 ◽  
Vol 22 (22) ◽  
pp. 4959-4970
Author(s):  
M S Soares ◽  
J Kamphorst Leal da Silva
Keyword(s):  
Critical Dynamics ◽  
Potts Models ◽  
One Dimensional ◽  
The One

scholarly journals Decay of correlations in one-dimensional dynamics

2003 ◽  
Vol 36 (4) ◽  
pp. 621-646 ◽  
Author(s):  
H BRUIN ◽  
S LUZZATTO ◽  
S VANSTRIEN
Keyword(s):  
Decay Of Correlations ◽  
One Dimensional
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