Matches in SemOpenAlex for { <https://semopenalex.org/work/W4310653541> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4310653541 abstract "The present paper is a follow up of another one by A. O. Lopes, E. Oliveira and P. Thieullen which analyze ergodic transport problems. Our main focus will a more precise analysis of case where the maximizing probability is unique and is also a periodic orbit. Consider the shift T acting on the Bernoulli space Sigma={1, 2, 3,.., d}^mathbb{N} $ and $A:Sigma to mathbb{R} a Holder potential. Denote m(A)=max_{nu is an invariant probability for T} int A(x) ; dnu(x) and, mu_{infty,A}, any probability which attains the maximum value. We assume this probability is unique (a generic property). We denote T the bilateral shift. For a given potential Holder A:Sigma to mathbb{R}, we say that a Holder continuous function W: hat{Sigma} to mathbb{R} is a involution kernel for A, if there is a Holder function A^*:Sigma to mathbb{R}, such that, A^*(w)= Acirc T^{-1}(w,x)+ W circ T^{-1}(w,x) - W(w,x). We say that A^* is a dual potential of A. It is true that m(A)=m(A^*). We denote by V the calibrated subaction for A, and, V^* the one for A^*. We denote by I^* the deviation function for the family of Gibbs states for beta A, when beta to infty. For each x we get one (more than one) w_x such attains the supremum above. That is, solutions of V(x) = W(w_x,x) - V^* (w_x)- I^*(w_x). A pair of the form (x,w_x) is called an optimal pair. If T is the shift acting on (x,w) in {1, 2, 3,.., d}^mathbb{Z}, then, the image by T^{-1} of an optimal pair is also an optimal pair. Theorem - Generically, in the set of Holder potentials A that satisfy (i) the twist condition, (ii) uniqueness of maximizing probability which is supported in a periodic orbit, the set of possible optimal w_x, when x covers the all range of possible elements x in in Sigma, is finite." @default.
- W4310653541 created "2022-12-14" @default.
- W4310653541 creator A5050100284 @default.
- W4310653541 creator A5056367073 @default.
- W4310653541 creator A5056526907 @default.
- W4310653541 date "2011-03-03" @default.
- W4310653541 modified "2023-10-16" @default.
- W4310653541 title "Ergodic Transport Theory, periodic maximizing probabilities and the twist condition" @default.
- W4310653541 doi "https://doi.org/10.48550/arxiv.1103.0816" @default.
- W4310653541 hasPublicationYear "2011" @default.
- W4310653541 type Work @default.
- W4310653541 citedByCount "0" @default.
- W4310653541 crossrefType "posted-content" @default.
- W4310653541 hasAuthorship W4310653541A5050100284 @default.
- W4310653541 hasAuthorship W4310653541A5056367073 @default.
- W4310653541 hasAuthorship W4310653541A5056526907 @default.
- W4310653541 hasBestOaLocation W43106535411 @default.
- W4310653541 hasConcept C114614502 @default.
- W4310653541 hasConcept C121332964 @default.
- W4310653541 hasConcept C122041747 @default.
- W4310653541 hasConcept C122044880 @default.
- W4310653541 hasConcept C134306372 @default.
- W4310653541 hasConcept C152361515 @default.
- W4310653541 hasConcept C21031990 @default.
- W4310653541 hasConcept C2778049214 @default.
- W4310653541 hasConcept C33923547 @default.
- W4310653541 hasConcept C62520636 @default.
- W4310653541 hasConcept C95611797 @default.
- W4310653541 hasConcept C97355855 @default.
- W4310653541 hasConceptScore W4310653541C114614502 @default.
- W4310653541 hasConceptScore W4310653541C121332964 @default.
- W4310653541 hasConceptScore W4310653541C122041747 @default.
- W4310653541 hasConceptScore W4310653541C122044880 @default.
- W4310653541 hasConceptScore W4310653541C134306372 @default.
- W4310653541 hasConceptScore W4310653541C152361515 @default.
- W4310653541 hasConceptScore W4310653541C21031990 @default.
- W4310653541 hasConceptScore W4310653541C2778049214 @default.
- W4310653541 hasConceptScore W4310653541C33923547 @default.
- W4310653541 hasConceptScore W4310653541C62520636 @default.
- W4310653541 hasConceptScore W4310653541C95611797 @default.
- W4310653541 hasConceptScore W4310653541C97355855 @default.
- W4310653541 hasLocation W43106535411 @default.
- W4310653541 hasLocation W43106535412 @default.
- W4310653541 hasLocation W43106535413 @default.
- W4310653541 hasOpenAccess W4310653541 @default.
- W4310653541 hasPrimaryLocation W43106535411 @default.
- W4310653541 hasRelatedWork W2015209433 @default.
- W4310653541 hasRelatedWork W2022055326 @default.
- W4310653541 hasRelatedWork W2118418618 @default.
- W4310653541 hasRelatedWork W2147976061 @default.
- W4310653541 hasRelatedWork W2170042920 @default.
- W4310653541 hasRelatedWork W2610736842 @default.
- W4310653541 hasRelatedWork W2963001306 @default.
- W4310653541 hasRelatedWork W2963560010 @default.
- W4310653541 hasRelatedWork W4300795357 @default.
- W4310653541 hasRelatedWork W832457290 @default.
- W4310653541 isParatext "false" @default.
- W4310653541 isRetracted "false" @default.
- W4310653541 workType "article" @default.