• Corpus ID: 235624221

An Example of Intrinsic Randomness in Deterministic PDEs

  title={An Example of Intrinsic Randomness in Deterministic PDEs},
  author={Franco Flandoli and Benjamin Gess and Francesco Grotto},
A new mechanism leading to a random version of Burgers’ equation is introduced: it is shown that the Totally Asymmetric Exclusion Process in discrete time (TASEP) can be understood as an intrinsically stochastic, non-entropic weak solution of Burgers’ equation on R. In this interpretation, the appearance of randomness in the Burgers’ dynamics is caused by random additions of jumps to the solution, corresponding to the random effects in TASEP. 

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  • A SIAM Interdisciplinary Journal
  • 2016