Detailansicht FB Kolloquium

Vortragende Person/Vortragende Personen:
Nils Berglund

Stochastic resonance can occur when a multi-stable system is subject to both periodic and random perturbations. For suitable parameter values,the system can respond to the perturbations in a way that is close to periodic. This phenomenon was initially proposed as an explanation for
glacial cycles in the Earth’s climate. While its role in that context remains controversial, stochastic resonance has since been observed in many physical and biological systems. This talk will focus on stochastic resonance in parabolic SPDEs, such as the Allen-Cahn equation, when they are driven by a periodic perturbation and by space-time white noise. We will discuss both the case of one spatial dimension, in which the equation is well-posed, and the case of two spatial dimensions, in which a renormalisation procedure is required.
This talk is based on joint works with Barbara Gentz and Rita Nader.

References:
•https://dx.doi.org/10.1007/s40072-021-00230-w
•https://arxiv.org/abs/2107.07292
•https://arxiv.org/abs/2209.15357