An Example of Intrinsic Randomness in Deterministic PDEs
Probability
2021-06-25 v2 Mathematical Physics
math.MP
Abstract
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 . 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.
Cite
@article{arxiv.2012.04398,
title = {An Example of Intrinsic Randomness in Deterministic PDEs},
author = {Franco Flandoli and Benjamin Gess and Francesco Grotto},
journal= {arXiv preprint arXiv:2012.04398},
year = {2021}
}
Comments
25 pages