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math.PR2026
Impact of spinning on the early-warning signs in non-Markovian stochastic systems
Paolo Bernuzzi, Alexandra Blessing, Dennis Rudik
We construct early-warning signals for impending critical transitions in non-Markovian systems. We analyze stochastic forcings such as fractional Brownian motion, fractional Ornste…
math.PR2026
Synchronization by noise for stochastic differential equations driven by fractional Brownian motion
Alexandra Blessing, Mazyar Ghani Varzaneh
We investigate synchronization by noise for stochastic differential equations (SDEs) driven by a fractional Brownian motion (fbm) with Hurst index . Provided that the SD…
math.PR2026
Renormalization destroys a finite time bifurcation in the equation
Alexandra Blessing, Nicolas Perkowski, Chara Zhu
We study the singular equation at a pitchfork bifurcation of the underlying deterministic dynamics. To this aim, we linearize the SPDE along its stationary solution and sho…