| Abstract: |
| We consider slowly time-dependent parabolic SPDEs on the torus of dimension $1$ or $2$, driven by either Gaussian, or by fractional space-time white noise with Hurst parameter strictly above $1/4$. We obtain concentration estimates for solutions near stable critical curves of these equations. As an application, we prove a quantitative result on stochastic resonance for periodically forced SPDEs.
References:
1. NB, Rita Nader, Stochastic resonance in stochastic PDEs,
Stochastics and Partial Differential Equations: Analysis and Computations, 11:348-387 (2023).
2. NB, Rita Nader, Concentration estimates for slowly time-dependent singular SPDEs on the two-dimensional torus, Electronic J. Probability 29:1-35 (2024).
3. NB, Alexandra Blessing (Neamtu), Concentration estimates for SPDEs driven by fractional Brownian motion Electron. Commun. Probab. 30:1-13 (2025). |
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