Stability and approximation of random invariant densities for Lasota–Yorke map cocycles

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stability and Approximation of Random Invariant Densities for Lasota-yorke Map Cocycles

We establish stability of random absolutely continuous invariant measures (acims) for cocycles of random Lasota-Yorke maps under a variety of perturbations. Our family of random maps need not be close to a fixed map; thus, our results can handle very general driving mechanisms. We consider (i) perturbations via convolutions, (ii) perturbations arising from finite-rank transfer operator approxim...

متن کامل

Random-walk approximation to vacuum cocycles

Quantum random walks are constructed on operator spaces using the concept of matrix-space lifting, a form of ampliation intermediate between those given by spacial and ultraweak tensor products. It is shown that these walks, after suitable scaling, converge in a strong sense to vacuum cocycles, certain vacuum-adapted processes which are Feller cocycles in the sense of Lindsay and Wills. This re...

متن کامل

Quenched stochastic stability for eventually expanding-on-average random interval map cocycles

The paper [FGTQ14] established fibrewise stability of random absolutely continuous invariant measures (acims) for cocycles of random Lasota-Yorke maps under a variety of perturbations, including “Ulam’s method”, a popular numerical method for approximating acims. The expansivity requirements of [FGTQ14] were that the cocycle (or powers of the cocycle) should be “expanding on average” before app...

متن کامل

Invariant Cocycles , Random Tilings and the Super - Kand Strong Markov

We consider 1-cocycles with values in locally compact, second countable abelian groups on discrete, nonsingular, ergodic equivalence relations. If such a cocycle is invariant under certain automorphisms of these relations we show that the skew product extension deened by the cocycle is ergodic. As an application we obtain an extension of many of the results in 9] to higher-dimensional shifts of...

متن کامل

Stability and Approximation of Random Invariant Measures of Markov Chains in Random Environments

We consider finite-state Markov chains driven by a P-stationary ergodic invertible process σ : Ω → Ω, representing a random environment. For a given initial condition ω ∈ Ω, the driven Markov chain evolves according to A(ω)A(σω) · · ·A(σn−1), where A : Ω → Md is a measurable d × d stochastic matrix-valued function. The driven Markov chain possesses P-a.e. a measurable family of probability vect...

متن کامل

ذخیره 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: Nonlinearity

سال: 2014

ISSN: 0951-7715,1361-6544

DOI: 10.1088/0951-7715/27/4/647