Decay of correlations in suspension semi-flows of angle-multiplying maps
نویسندگان
چکیده
منابع مشابه
Decay of Correlations in Suspension Semi-flows of Angle-multiplying Maps
We consider suspension semi-flows of angle-multiplying maps on the circle. Under a Cgeneric condition on the ceiling function, we show that there exists an anisotropic Sobolev space[3] contained in the L space such that the Perron-Frobenius operator for the time-t-map acts on it and that the essential spectral radius of that action is bounded by the square root of the inverse of the minimum exp...
متن کاملDecay of Correlations for Slowly Mixing Flows
We show that polynomial decay of correlations is prevalent for a class of nonuniformly hyperbolic flows. These flows are the continuous time analogue of a class of nonuniformly hyperbolic diffeomorphisms for which Young proved polynomial decay of correlations. Roughly speaking, in situations where the decay rate O(1/nβ) has previously been proved for diffeomorphisms, we establish the decay rate...
متن کاملDecay of Correlations for Piecewise Expanding Maps
This paper investigates the decay of correlations in a large class of non-Markov one-dimensional expanding maps. The method employed is a special version of a general approach recently proposed by the author. Explicit bounds on the rate of decay of correlations are obtained.
متن کاملExponential Decay of Correlations for Surface Semi-flows without Finite Markov Partitions
We extend Dolgopyat’s bounds on iterated transfer operators to suspensions of interval maps with infinitely many intervals of monotonicity. 1. Statement of results Let 0 < c1 < . . . < cm < cm+1 < . . . < 1 be a finite or countable partition of I = [0, 1] into subintervals, and let T : I → I be so that T |(cm,cm+1) is C and extends to a homeomorphism from [cm, cm+1] to I. We assume that T is pi...
متن کاملMixing and Decay of Correlations in Non-uniformly Expanding Maps
I discuss recent results on decay of correlations for nonuniformly expanding maps. Throughout the discussion, I address the question of why different dynamical systems have different rates of decay of correlations and how this may reflect underlying geometrical characteristics of the system.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2008
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385707000430