4 papers
Well-posedness and Hurst parameter estimation for fluid equations driven by fractional transport noise
Alexandra Blessing Neamtu, Dan Crisan, Oana Lang
We study a two-dimensional incompressible vorticity equation on the torus driven by transport-type fractional Brownian noise with Hurst parameter . The model capture…
Synchronization for the Rough Kuramoto Model
Alexandra Blessing Neamtu, Christian Kuehn, Giacomo Landi +1
We study the local synchronization of phases and frequencies for the Kuramoto model driven by rough noise. In particular, we prove exponential convergence towards synchronization a…
A mild rough Gronwall Lemma with applications to non-autonomous evolution equations
Alexandra Blessing, Mazyar Ghani Varzaneh, Tim Seitz
We derive a Gronwall type inequality for mild solutions of non-autonomous parabolic rough partial differential equations (RPDEs). This inequality together with an analysis of the C…
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…