Seminar
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| Location: | SLMath: Online/Virtual, Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
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Secondary Mathematics Subject Classification
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I will discuss an infinite Brownian particle system on the real line in which particles interact through point-source singularities generated by the collision local times of neighboring particles. We investigate fluctuations from stationarity under appropriate scalings of time and space. The main focus of the talk will be the one-sided system, where one has a lowest particle and symmetric interactions. I will also briefly describe ongoing work on the doubly infinite case, where particles are indexed by $\mathbb{Z}$ and the interactions are weakly asymmetric. This model can be viewed as a Brownian analogue of the zero-range process. This is joint work with Sayan Banerjee and Peter Rudzis.
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