Video URL

https://old.simons.berkeley.edu/node/22613

Stochastic Processes on Sparse Graphs: Hydrodynamic Limits and Markov Approximations

(2022). Stochastic Processes on Sparse Graphs: Hydrodynamic Limits and Markov Approximations. The Simons Institute for the Theory of Computing. https://old.simons.berkeley.edu/node/22613

Stochastic Processes on Sparse Graphs: Hydrodynamic Limits and Markov Approximations. The Simons Institute for the Theory of Computing, Sep. 30, 2022, https://old.simons.berkeley.edu/node/22613 

          @misc{ scivideos_22613,
            doi = {},
            url = {https://old.simons.berkeley.edu/node/22613},
            author = {},
            keywords = {},
            language = {en},
            title = {Stochastic Processes on Sparse Graphs: Hydrodynamic Limits and Markov Approximations},
            publisher = {The Simons Institute for the Theory of Computing},
            year = {2022},
            month = {sep},
            note = {22613 see, \url{https://scivideos.org/simons-institute/22613}}
          }
Kavita Ramanan (Brown University)
Source Repository Simons Institute
Subject

Abstract

Abstract We consider interacting particle systems on suitable convergent sequences of sparse (or heterogeneous graphs) and show that the limiting dynamics of the associated neighborhood empirical measure process (the so-called hydrodynamic limit) can be autonomously characterized in terms of a non-Markovian process.   We then describe Markovian approximations to the latter and provide examples where they are exact.   This includes joint work with G. Cocomello and A. Ganguly.