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Seminar

Hard Rod System, Poisson Line Process and Levy Brownian Function November 03, 2021 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Pablo Ferrari (University of Buenos Aires)
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Video

Hard Rod System, Poisson Line Process And Levy Brownian Function

Abstract/Media

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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.

91881?type=thumb Hard Rod System, Poisson Line Process and Levy Brownian Function 575 KB application/pdf
91882?type=thumb Hard Rod System, Poisson Line Process and Levy Brownian Function 575 KB application/pdf

Hard Rod System, Poisson Line Process And Levy Brownian Function