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math.DS2024
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…
math.PR2024
Quantitative instability for stochastic scalar reaction-diffusion equations
Alexandra Blessing, Tommaso Rosati
This work studies the instability of stochastic scalar reaction diffusion equations, driven by a multiplicative noise that is white in time and smooth in space, near to zero, which…
math.PR2024
Concentration estimates for SPDEs driven by fractional Brownian motion
Nils Berglund, Alexandra Blessing
The main goal of this work is to provide sample-path estimates for the solution of slowly time-dependent SPDEs perturbed by a cylindrical fractional Brownian motion. Our strategy i…