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Markov partition
A Markov partition is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic…
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Related topics
Related topics
4 relations
Axiom A
Bernoulli scheme
Markov property
Topological entropy
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
Horizontal and vertical determination of mental and neural states
Jens Harbecke
,
H. Atmanspacher
2012
Corpus ID: 15768088
Mental and neural states are related to one another by vertical (synchronic) interlevel relations and by horizontal (diachronic…
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2011
2011
Behaviour of the escape rate function in hyperbolic dynamical systems
Mark F. Demers
,
Paul Wright
2011
Corpus ID: 54686575
For a fixed initial reference measure, we study the dependence of the escape rate on the hole for a smooth or piecewise smooth…
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2011
2011
A duality theory for the algebraic invariants of substitution tiling spaces
Jeffrey Ford
2011
Corpus ID: 54701122
2010
2010
HIGHER BLOCK IFS 2: RELATIONS BETWEEN IFS WITH DIFFERENT LEVELS OF MEMORY
Richard Bedient
,
Michael Frame
,
Keith Gross
,
Jennifer Lanski
,
Brendan Sullivan
2010
Corpus ID: 54169972
We continue the program of Bedient et al.1 by investigating some of the ways of embedding IFS with 1-step memory into IFS with 2…
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2007
2007
Hausdorff dimension for some hyperbolic attractors with overlaps and without finite Markov partition
F. Hofbauer
,
P. Raith
,
K. Simon
Ergodic Theory and Dynamical Systems
2007
Corpus ID: 55135531
In this paper some families of skew product self-maps $F$ on the square are considered. The main example is a family forming a…
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2005
2005
A REMARK ON POSITIVE TOPOLOGICAL ENTROPY OF N-BUFFER SWITCHED FLOW NETWORKS
Xiao-Song Yang
2005
Corpus ID: 31077065
We present a simpler elementary proof on positive topological entropy of the N-buffer switched flow networks based on a new…
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Review
2000
Review
2000
Chaos, Spatial Extension and Non-Equilibrium Thermodynamics
J. Vollmer
2000
Corpus ID: 118607283
The connection between the statistical physics of transport phenomena and a microscopic description of the underlying chaotic…
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1993
1993
Advection of vector elds by chaotic ows 1
N. Balmforth
,
P. Cvitanovi
,
G. Ierley
,
E. A. SPIEGELa
,
G. V. DepartmentColumbia
1993
Corpus ID: 6027942
We derive a Fredholm determinant for a smooth deterministic ow that relates the rate of fast dynamo action to the periodic orbits…
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1986
1986
Erratum: ``Markov partition for dispersed billiards''
L. Bunimovich
,
Y. Sinai
1986
Corpus ID: 118968107
The aim of this note is to make some changes in the proof of Doeblin's condition for Markov partitions constructed in the…
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1977
1977
Markov cell structures
F. Farrell
,
L. E. Jones
1977
Corpus ID: 121906073
We show that the partition underlying a Markov partition for a dynamical system can be chosen to be a cell complex structure. Let…
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