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• W2803263336 abstract "Given an interval $[a,b]$ the associated $X,Y$ model is the space $Omega=[a,b]^mathbb{N}$ with an a priori probability $nu $ on the state space $[a,b]$. We will present here the case of the product type potential on the $X,Y$ model and in this setting we can show the explicit expression of the equilibrium probability. We will also consider questions about Ergodic Optimization, maximizing probabilities, subactions and we will show selection of a maximizing probability, when temperature goes to zero. Finally we show a large deviation principle when temperature goes to zero and we present an explicit expression for the deviation function." @default.
• W2803263336 created "2018-06-01" @default.
• W2803263336 creator A5054166615 @default.
• W2803263336 date "2018-05-24" @default.
• W2803263336 modified "2023-09-27" @default.
• W2803263336 title "Product type potential on the $X,Y$ model: selection of maximizing probability and a large deviation principle" @default.
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• W2803263336 hasPublicationYear "2018" @default.
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