1 citations · 2 across the 6 of their papers we have counts for
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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…
Critical Slowing Down in Bifurcating Stochastic Partial Differential Equations with Red Noise
Paolo Bernuzzi, Christian Kuehn, Andreas Morr
The phenomenon of critical slowing down (CSD) has played a key role in the search for reliable precursors of catastrophic regime shifts. This is caused by its presence in a generic…
Probability of Transition to Turbulence in a Reduced Stochastic Model of Pipe Flow
Paolo Bernuzzi, Christian Kuehn
We study the phenomenon of turbulence initiation in pipe flow under different noise structures by estimating the probability of initiating metastable transitions. We establish lowe…
Large Deviation Minimisers for Stochastic Partial Differential Equations with Degenerate Noise
Paolo Bernuzzi, Tobias Grafke
Noise-induced transitions between multistable states happen in a multitude of systems, such as species extinction in biology, protein folding, or tipping points in climate science.…
Warning Signs for Boundary Noise and their Application to an Ocean Boussinesq Model
Paolo Bernuzzi, Henk A. Dijkstra, Christian Kuehn
In this paper, we construct and discuss early-warning signs of the approach of a parameter to a deterministic bifurcation on a stochastic partial differential equation (SPDE) model…
Early-Warning Signs for SPDEs with Continuous Spectrum
Paolo Bernuzzi, Antonia Düx, Christian Kühn
In this work, we study early-warning signs for stochastic partial differential equations (SPDEs), where the linearization around a steady state has continuous spectrum. The studied…