Monotone families of circle diffeomorphisms driven by expanding circle maps

Dynamical systems involving maps of the circle (37E10) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems
On stochastic perturbations of iterations of circle maps
Statistical properties of mostly contracting fast-slow partially hyperbolic systems
Monotonic cocycles
Spectral properties of integral operators with nonnegative kernels
Multidimensional nonhyperbolic attractors
Attractors and time averages for random maps
Limit theorems for fast-slow partially hyperbolic systems
Random walks on \(\mathrm{Homeo}(S^1)\)
Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants. (Statistical equilibrium for products of independent random diffeomorphisms)
Positive Lyapunov exponents for a class of deterministic potentials
SRB measures for partially hyperbolic systems whose central direction is mostly contracting
Quantitative statistical properties of two-dimensional partially hyperbolic systems
On the Lyapunov exponents for a class of circle diffeomorphisms driven by expanding circle endomorphisms
Nonuniformly hyperbolic systems arising from coupling of chaotic and gradient-like systems
Positive Lyapunov exponent for some Schrödinger cocycles over strongly expanding circle endomorphisms
Physical measures for partially hyperbolic surface endomorphisms
Fat solenoidal attractors
Some open sets of nonuniformly hyperbolic cocycles
The martingale approach after Varadhan and Dolgopyat
The partial captivity condition for U(1) extensions of expanding maps on the circle
A note on circle maps driven by strongly expanding endomorphisms on
Circle diffeomorphisms forced by expanding circle maps
Comparing chaotic and random dynamical systems
Bifurcations of stationary measures of random diffeomorphisms
The Existence of Eigenvalues for Integral Operators
Random‐like properties of chaotic forcing

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