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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Scaling limit for amnesic step-reinforced random walks

## Scaling limit for amnesic step-reinforced random walksAdd to your list(s) Download to your calendar using vCal - Lucile Laulin (Université Paris X Nanterre)
- Thursday 11 July 2024, 10:15-11:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. SSDW01 - Self-interacting processes A step-reinforced random walk is a self-interacting random walk that, at each step, either repeats one of its former steps chosen uniformly or takes a new step independently from its past. We introduce a variation of the step-reinforced random walk with general memory, which can be interpreted as amnesia. Our main purpose is to establish a version of Donsker’s invariance principle for such amnesic step-reinforced random walks in the so-called diffusive regime. While for the standard step-reinforced walk the limit arising is a noise-reinforced Brownian motion, we show that for the amnesic version, the limiting Gaussian process is actually the sum of a noise-reinforced Brownian motion and a Brownian motion, which are a priori dependent. (Joint work with Marco Bertenghi) This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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