Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Hard Rod System, Poisson Line Process And Levy Brownian Function
To participate in this seminar, please register HERE.
A rod (q,v,r) represents a segment (q,q+r) travelling ballistically at speed v, in absence of other rods. Since rods cannot intersect, when two rods collide, they immediately swap positions so that the slower rod stays to the left. This model was introduced by Dobrushin in the 50's, and hydrodynamics was proven in the 80's. I will show how the generalized hydrodynamic limit relates with the Poisson line process, the line white noise, and the Chentsov representation of the Levy Brownian function. Work in progress with Dante Grevino and Herbert Spohn.
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Hard Rod System, Poisson Line Process and Levy Brownian Function
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Hard Rod System, Poisson Line Process and Levy Brownian Function
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