8 papers
(co)Quasi-irreducible and (co)expanding random maps
Pablo G. Barrientos, Isaia Nisoli, Dominique Malicet
We study quasi-irreducibility, expansion, and their cotangent duals for random (local) diffeomorphisms on compact invariant sets of a Riemannian manifold. Quasi-irreducibilit…
Statistical periodicity in noise-induced order from Ruelle-Pollicott resonances
Yuzuru Sato, Isaia Nisoli
Noise-induced order (NIO) is a paradigmatic example of nontrivial noise-induced phenomena, characterized by pronounced spectral peaks and pseudoperiodic dynamics. We show that this…
Ulam Approximation for Nonautonomous Systems: Equivariant Measures and Linear Response
Stefano Galatolo, Valerio Lucarini, Isaia Nisoli
Despite the prevalence of nonautonomous systems in applications, their statistical properties are much less understood than in the autonomous setting. Building on recent results on…
A pseudospectral approach to rigorous numerical estimation of resonances of transfer operators
Alex Blumenthal, Isaia Nisoli, Toby Taylor-Crush
{Ruelle-Pollicott} resonances, isolated eigenvalues of a transfer operator acting on suitably chosen Banach spaces, play a fundamental role in understanding the statistical propert…
Integral representation of Lyapunov exponents
Pablo G. Barrientos, Isaia Nisoli
We introduce a new operator-theoretic construction of Lyapunov growth for Markov-driven systems. The construction is based on an abstract variational principle for asymptotic growt…
Certified spectral approximation of transfer operators and the Gauss map
Isaia Nisoli
We prove that the full spectral picture of a transfer operator (every isolated eigenvalue, eigenvector, and Riesz projector outside the essential spectral radius) can be approximat…