Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mapping TASEP back in time   We obtain a new relation between the distributions $\mu_t$ at different times
$t\ge 0$ of the continuous-time TASEP (Totally Asymmetric Simple Exclusion
Process) started from the step initial configuration. Namely, we present a
continuous-time Markov process with local interactions and particle-dependent
rates which maps the TASEP distributions $\mu_t$ backwards in time. Under the
backwards process, particles jump to the left, and the dynamics can be viewed
as a version of the discrete-space Hammersley process. Combined with the
forward TASEP evolution, this leads to a stationary Markov dynamics preserving
$\mu_t$ which in turn brings new identities for expectations with respect to
$\mu_t$.
  The construction of the backwards dynamics is based on Markov maps
interchanging parameters of Schur processes, and is motivated by
bijectivizations of the Yang-Baxter equation. We also present a number of
corollaries, extensions, and open questions arising from our constructions.

23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an