4 papers
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…
Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
Jacob Bedrossian, Alex Blumenthal, Sam Punshon-Smith
We develop a general framework for establishing non-uniqueness of stationary measures for stochastically forced dynamical systems possessing an almost surely invariant submanifold.…
Detecting random bifurcations via rigorous enclosures of large deviations rate functions
Alexandra Blessing, Alex Blumenthal, Maxime Breden +1
The main goal of this work is to provide a description of transitions from uniform to non-uniform snychronization in diffusions based on large deviation estimates for finite time L…
Existence of stationary measures for partially damped SDEs with generic, Euler-type nonlinearities
Jacob Bedrossian, Alex Blumenthal, Keagan Callis +1
We study nonlinear energy transfer and the existence of stationary measures in a class of degenerately forced SDEs on with a quadratic, conservative nonlinearity $B(x…