2019-06-26-back-TASEP.md

title	model	author	code	results	papers
Backwards evolution of TASEP	TASEPs	Hao Yu Li and Leonid Petrov	txt Code is available upon request	title params image image-tn image-size raw raw-size Movie Movie. TASEP goes forward up to time $t=350$. Then the configuration evolves according to the backwards dynamics, all the way down to (almost) time zero. The timestamps are shown on top. At each time during the backwards dynamics, the distribution of the random height function coincides with the one of the TASEP at the specified time moment. __STORAGE_URL__/simulations/2019-06-backTASEP/TASEP_fwd_bwd_350.m4v __STORAGE_URL__/simulations/2019-06-backTASEP/TASEP_fwd_bwd_350_2.png 1.8 MB __STORAGE_URL__/simulations/2019-06-backTASEP/TASEP_fwd_bwd_350.txt 125 MB	title L. Petrov, A. Saenz. In preparation (2019)

This is a simulation illustrating the main result from the paper in preparation [1].

Multitime distributions

In addition to the dynamical simulation (the movie below), we can generate joint pictures of the height function at different times. Here are the ones for TASEP:

And for the backwards dynamics:

Data file format for the movie

The file contains Mathematica-readable array of the form ${t_i,H(t_i)}$, where $t_i$ are the timestamps, and $H(t_i)$ is the array of the values of the TASEP height function.