Conference Agenda
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Daily Overview |
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RASE2: Recent Advances in Stochastic Equations: Regularity, Numerical analysis, and Dynamical Behavior Location: L602 Session Chair: Giacomo Lucertini | |
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Synchronization by Noise for Stochastic Differential Equations Driven by Fractional Brownian Motion University of Konstanz, Germany We investigate synchronization by noise for stochastic differential equations (SDEs) driven by fractional Brownian motion with Hurst parameter (H \in (0,1)). More precisely, we show that additive fractional Brownian noise can stabilize the dynamics and induce synchronization of trajectories. While this phenomenon is well understood for Markovian SDEs driven by standard Brownian motion, the fractional Brownian setting is substantially more challenging due to the lack of the Markov property. The main focus of the talk is on the techniques developed to overcome these difficulties and establish synchronization in the non-Markovian framework. The talk is based on joint work with Alexandra Blessing. | |
