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math.PR2024
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.…
math.PR2024
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…