Establishes quenched and annealed linear response and statistical stability for partially hyperbolic skew products with parameter-dependent base maps, yielding new formulas for the response and moment derivatives.
[Bal14] Viviane Baladi
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.DS 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
The conditional survival probability measure for Sinai billiards with small holes is differentiable at t=0 and its derivative is computed.
For almost every Hölder observable φ with respect to certain Wiener-like measures on C[0,1], the map λ to the integral against μ_λ is almost nowhere differentiable for small λ and almost everywhere differentiable for large λ.
citing papers explorer
-
Quenched and annealed linear response for some partially hyperbolic skew products
Establishes quenched and annealed linear response and statistical stability for partially hyperbolic skew products with parameter-dependent base maps, yielding new formulas for the response and moment derivatives.
-
Linear response for Sinai billiards with small holes
The conditional survival probability measure for Sinai billiards with small holes is differentiable at t=0 and its derivative is computed.
-
Linear Response for Bernoulli Convolutions
For almost every Hölder observable φ with respect to certain Wiener-like measures on C[0,1], the map λ to the integral against μ_λ is almost nowhere differentiable for small λ and almost everywhere differentiable for large λ.