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Billiards With Polynomial Decay of Correlations
, 2004
"... We prove that the billiard map in Bunimovich Stadium has polynomial decay of correlations of . Ergodic Bunimovichtype billiards (two arcs not bigger than half a circle) that do not have trajectories with in nitely many consecutive bounces on straight lines satisfy the same property. We also ..."
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Cited by 24 (2 self)
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We prove that the billiard map in Bunimovich Stadium has polynomial decay of correlations of . Ergodic Bunimovichtype billiards (two arcs not bigger than half a circle) that do not have trajectories with in nitely many consecutive bounces on straight lines satisfy the same property. We also
Equilibrium states with polynomial decay of correlations
, 1999
"... Abstract. The purpose of this paper is to study statistical properties of some almost expanding dynamical systems. Examples of such systems include piecewise expanding maps on the unit interval, expanding maps on Cantor sets, and some piecewise expanding maps on the unit cubes, all of which contain ..."
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Cited by 2 (1 self)
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and equilibrium states. Further, by using the projective metric we obtain that under iteration of the PerronFrobenius operators, functions converge to the equilibriums in polynomial speed, and therefore the systems have polynomial decay of correlations. The motivation of the paper is to understand statistical
Gravity solitary waves with polynomial decay to
"... In this paper, we study the travelling gravity waves of velocity c in a system of two layers of perfect fluids, the bottom one being infinitely deep, the upper one having a finite thickness h. We assume that the flow is potential, and the dimensionless parameters are the ratio between densities ρ = ..."
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= ρ2 = 1 − λ(1 − ρ) near 0 +, the existence of periodic travelling waves of arbitrary small amplitude and the existence of generalized solitary waves with ripples at infinity of size larger than ε 5 2 and polynomial decay rate were established in [7]. In this paper we improve this former result
Polynomial decay of correlations in linkedtwist maps
, 2014
"... Linkedtwist maps are areapreserving, piecewise diffeomorphisms, defined on a subset of the torus. They are nonuniformly hyperbolic generalisations of the wellknown Arnold Cat Map. We show that a class of canonical examples have polynomial decay of correlations for αHölder observables, of ord ..."
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Linkedtwist maps are areapreserving, piecewise diffeomorphisms, defined on a subset of the torus. They are nonuniformly hyperbolic generalisations of the wellknown Arnold Cat Map. We show that a class of canonical examples have polynomial decay of correlations for αHölder observables
Uniform Rates of Decay in Nonlinear Viscoelasticity for Polynomial Decaying Kernels
, 1996
"... We prove a global existence theorem for the nonlinear viscoelastic equation for small data in H 2 (]0; L[) and that the solution decays algebraically to zero when the kernel decays also algebraically as t goes to infinity. That is, if the kernel g satisfies g 0 (t) \Gammac 0 g(t) 1+ 1 p ; ..."
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Cited by 4 (1 self)
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; and g; g 1+ 1 p 2 L 1 (IR) with p ? 2; then the firts and second order energy decay as 1 (1+t) p . AMS classification code: 35B40, 35L05, 35L70 Keywords and phrases: viscoelasticity, exponential and polynomial decay, global solution, initial boundary value problems 1 Introduction In nonlinear
Results 1  10
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84,861