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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.PR2025
Taylor-like approximations of center manifolds for rough differential equations
Alexandra Blessing, Dennis Rudik
The dynamics of rough differential equations (RDEs) has recently received a lot of interest. For example, the existence of local random center manifolds for RDEs has been establish…