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1,576
Maximal entropy measures for Viana maps
, 2003
"... In this note we construct measures of maximal entropy for a certain class of maps with critical points. The main application of our result is the existence of measures of maximal entropy for the socalled Viana maps. 1 ..."
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In this note we construct measures of maximal entropy for a certain class of maps with critical points. The main application of our result is the existence of measures of maximal entropy for the socalled Viana maps. 1
OWA operators with maximal entropy
, 2003
"... One important issue in the theory of Ordered Weighted Averaging (OWA) operators is the determination of the associated weights. One of the first approaches, suggested by O'Hagan, determines a special class of OWA operators having maximal Shannon entropy of the OWA weights for a given level of o ..."
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One important issue in the theory of Ordered Weighted Averaging (OWA) operators is the determination of the associated weights. One of the first approaches, suggested by O'Hagan, determines a special class of OWA operators having maximal Shannon entropy of the OWA weights for a given level
An algorithm for finding the distribution of maximal entropy
 J. Comput. Phys
, 1979
"... An algorithm for determining the distribution of maximal entropy subject to constraints is presented. The method provides an alternative to the conventional procedure which requires the numerical solution of a set of implicit nonlinear equations for the Lagrange multipliers. Here they are determined ..."
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Cited by 30 (0 self)
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An algorithm for determining the distribution of maximal entropy subject to constraints is presented. The method provides an alternative to the conventional procedure which requires the numerical solution of a set of implicit nonlinear equations for the Lagrange multipliers. Here
Maximal entropy odd orbit types
 Trans. Amer. Math. Soc
, 1992
"... ABSTRACT. A periodic orbit of a continuous map of an interval induces in a natural way a cyclic permutation, called its type. We consider a family of orbit types of period n congruent to I (mod4) introduced recently by Misiurewicz and Nitecki. We prove that the MisiurewiczNitecki orbit types and th ..."
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Cited by 3 (1 self)
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and their natural generalizations to the remaining odd periods n have maximal entropy among all orbit types of period n, and even among all npermutations. 1.
Maximizing entropy over Markov processes
, 2013
"... Abstract. The channel capacity of a deterministic system with confidential data is an upper bound on the amount of bits of data an attacker can learn from the system. We encode all possible attacks to a system using a probabilistic specification, an Interval Markov Chain. Then the channel capacity c ..."
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Cited by 1 (1 self)
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computation reduces to finding a model of a specification with highest entropy. Entropy maximization for probabilistic process specifications has not been studied before, even though it is well known in Bayesian inference for discrete distributions. We give a characterization of global entropy of a process
FACTOR MAPS AND MEASURES OF MAXIMAL ENTROPY
, 2001
"... We investigate factor maps of higherdimensional subshifts of finite type. In particular, we are interested in how the number of ergodic measures of maximal entropy behaves under such factor maps. We show that this number is preserved under almost invertible maps, but not in general under finite t ..."
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We investigate factor maps of higherdimensional subshifts of finite type. In particular, we are interested in how the number of ergodic measures of maximal entropy behaves under such factor maps. We show that this number is preserved under almost invertible maps, but not in general under fi
Cr SURFACE DIFFEOMORPHISMS WITH NO MAXIMAL ENTROPY MEASURE
"... Abstract. For any 1 ≤ r < ∞, we build on the disk and therefore on any manifold, a C rdiffeomorphism with no measure of maximal entropy. ..."
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Abstract. For any 1 ≤ r < ∞, we build on the disk and therefore on any manifold, a C rdiffeomorphism with no measure of maximal entropy.
Real polynomial diffeomorphisms with maximal entropy
"... This paper deals with some questions about the dynamics of diffeomorphisms of R 2. A “model family ” which has played a significant historical role in dynamical systems and served as a focus for a great deal of research is the family introduced by Hénon, which may be written as ..."
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Cited by 22 (5 self)
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This paper deals with some questions about the dynamics of diffeomorphisms of R 2. A “model family ” which has played a significant historical role in dynamical systems and served as a focus for a great deal of research is the family introduced by Hénon, which may be written as
Maximizing entropy change for nonequilibrium systems
, 2003
"... We propose maximizing the change of thermodynamic entropy in order to obtain the probability distributions for nonequilibrium systems in steady or stationary evolution. Arguments are forwarded to support this approach. A path information leading to KolmogorovSinai entropy is defined for an ensemble ..."
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We propose maximizing the change of thermodynamic entropy in order to obtain the probability distributions for nonequilibrium systems in steady or stationary evolution. Arguments are forwarded to support this approach. A path information leading to KolmogorovSinai entropy is defined
UNIQUENESS OF MAXIMAL ENTROPY ODD ORBIT TYPES
, 1995
"... We prove that the maximal entropy orbit types of odd period for interval maps are unique. In fact we prove that they are uniquely maximal among all (not necessarily cyclic) permutations. ..."
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We prove that the maximal entropy orbit types of odd period for interval maps are unique. In fact we prove that they are uniquely maximal among all (not necessarily cyclic) permutations.
Results 1  10
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1,576