Results 1  10
of
12,523
On the Speed of Convergence to Equilibrium States
, 1998
"... On the speed of convergence to equilibrium states for certain nonhyperbolic systems ..."
Abstract
 Add to MetaCart
On the speed of convergence to equilibrium states for certain nonhyperbolic systems
EQUILIBRIUM STATES FOR HYPERBOLIC POTENTIALS
"... Abstract. We prove existence of finitely many ergodic equilibrium states associated to local homeomorphisms and hyperbolic potentials. In addition, if the dynamics is transitive we obtain the uniqueness of equilibrium state. Under the assumptions of uniform contraction on the fiber and nonuniforml ..."
Abstract
 Add to MetaCart
Abstract. We prove existence of finitely many ergodic equilibrium states associated to local homeomorphisms and hyperbolic potentials. In addition, if the dynamics is transitive we obtain the uniqueness of equilibrium state. Under the assumptions of uniform contraction on the fiber and non
Equilibrium States for Sunimodal Maps
 8 JOS E F. ALVES, V ITOR ARA UJO, AND BENO ^ IT SAUSSOL
, 2001
"... For Sunimodal maps f , we study equilibrium states maximizing the free energies F t () := h() t R log jf 0 jd and the pressure function P (t) := sup F t (). It is shown that if f is uniformly hyperbolic on periodic orbits, then P (t) is analytic for t 1. On the other hand, examples are giv ..."
Abstract

Cited by 19 (2 self)
 Add to MetaCart
For Sunimodal maps f , we study equilibrium states maximizing the free energies F t () := h() t R log jf 0 jd and the pressure function P (t) := sup F t (). It is shown that if f is uniformly hyperbolic on periodic orbits, then P (t) is analytic for t 1. On the other hand, examples
Rotation, Entropy, and Equilibrium States
"... . For a dynamical system (X; T ) and function f : X ! R d we consider the corresponding generalised rotation set. We present a new approach to studying the entropy of rotation vectors in terms of equilibrium states. We relate this to the lost and directional ergodic measures and directional entro ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
. For a dynamical system (X; T ) and function f : X ! R d we consider the corresponding generalised rotation set. We present a new approach to studying the entropy of rotation vectors in terms of equilibrium states. We relate this to the lost and directional ergodic measures and directional
OF EQUILIBRIUM STATES FOR AMBIPOLAR PLASMAS
, 2003
"... We investigate a system of partial differential equations modeling ambipolar plasmas. The ambipolar—or zero current—model is obtained from general plasmas equations in the limit of vanishing debye length. In this model, the electric field is expressed as a linear combination of macroscopic variable ..."
Abstract
 Add to MetaCart
symmetric hyperbolicparabolic composite system. By properly modifying the chemistry source terms and/or the diffusion matrices, asymptotic stability of equilibrium states is established and decay estimates are obtained. We also establish the continuous dependence of global solutions with respect
Local product structure for equilibrium states
 Trans. Amer. Math. Soc
, 2000
"... Abstract. The usual way to study the local structure of Equilibrium State of an AxiomA diffeomorphism or flow is to use the symbolic dynamic and to push results on the manifold. A new geometrical method is given. It consists in proving that Equilibrium States for Höldercontinuous functions are rel ..."
Abstract

Cited by 12 (10 self)
 Add to MetaCart
Abstract. The usual way to study the local structure of Equilibrium State of an AxiomA diffeomorphism or flow is to use the symbolic dynamic and to push results on the manifold. A new geometrical method is given. It consists in proving that Equilibrium States for Höldercontinuous functions
On the Equilibrium States in Quantum Statistical Mechanics
 Commun. Math. Phys
, 1967
"... Abstract. Representations of the C*algebra 92 of observables corresponding to thermal equilibrium of a system at given temperature T and chemical potential / ~ are studied. Both for finite and for infinite systems it is shown that the representation is reducible and that there exists a conjugation ..."
Abstract

Cited by 95 (0 self)
 Add to MetaCart
Abstract. Representations of the C*algebra 92 of observables corresponding to thermal equilibrium of a system at given temperature T and chemical potential / ~ are studied. Both for finite and for infinite systems it is shown that the representation is reducible and that there exists a
Optimal contracts and competitive markets with costly state verification
 Journal of Economic Theory
, 1979
"... The insight of Arrow [4] and Debreu [7] that uncertainty is easily incorporated into general equilibrium models is doubleedged. It is true that one need only index commodities by the state of nature, and classical results on the existence and optimality of competitive equilibria can be made to ..."
Abstract

Cited by 879 (8 self)
 Add to MetaCart
The insight of Arrow [4] and Debreu [7] that uncertainty is easily incorporated into general equilibrium models is doubleedged. It is true that one need only index commodities by the state of nature, and classical results on the existence and optimality of competitive equilibria can be made to
On the direct solution of critical equilibrium states
"... Summary. Determination of a critical point is the primary problem in structural stability analysis. Mathematically it means solution of a nonlinear eigenvalue problem together with the equilibrium equations. Several techniques exist to compute the critical equilibrium states and the corresponding ..."
Abstract
 Add to MetaCart
Summary. Determination of a critical point is the primary problem in structural stability analysis. Mathematically it means solution of a nonlinear eigenvalue problem together with the equilibrium equations. Several techniques exist to compute the critical equilibrium states and the corresponding
Results 1  10
of
12,523