# Facilitated exclusion process

@article{Baik2016FacilitatedEP, title={Facilitated exclusion process}, author={Jinho Baik and Guillaume Barraquand and Ivan Corwin and Toufic M. Suidan}, journal={arXiv: Probability}, year={2016} }

We study the Facilitated TASEP, an interacting particle system on the one dimensional integer lattice. We prove that starting from step initial condition, the position of the rightmost particle has Tracy Widom GSE statistics on a cube root time scale, while the statistics in the bulk of the rarefaction fan are GUE. This uses a mapping with last-passage percolation in a half-quadrant which is exactly solvable through Pfaffian Schur processes.
Our results further probe the question of how first…

## 25 Citations

### PFAFFIAN SCHUR PROCESSES AND LAST PASSAGE

- Mathematics
- 2018

We study last passage percolation in a half-quadrant, which we analyze within the framework of Pfaffian Schur processes. For the model with exponential weights, we prove that the fluctuations of the…

### The invariant measures and the limiting behaviors of the facilitated TASEP

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### Pfaffian Schur processes and last passage percolation in a half-quadrant

- MathematicsThe Annals of Probability
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We study last passage percolation in a half-quadrant, which we analyze within the framework of Pfaffian Schur processes. For the model with exponential weights, we prove that the fluctuations of the…

### Exact solution of the facilitated totally asymmetric simple exclusion process

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We obtain the exact solution of the facilitated totally asymmetric simple exclusion process (F-TASEP) in 1D. The model is closely related to the conserved lattice gas (CLG) model and to some cellular…

### Stefan problem for a nonergodic facilitated exclusion process

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We consider the facilitated exclusion process, which is a non-ergodic, kinetically constrained exclusion process. We show that in the hydrodynamic limit, its macroscopic behavior is governed by a…

### Hydrodynamic limit for a facilitated exclusion process

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Collective dynamics can be observed among many animal species, and have given rise in the last decades to an active and interdisciplinary eld of study. Such behaviors are often modeled by active…

### Stationary Half-Space Last Passage Percolation

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In this paper we study stationary last passage percolation with exponential weights and in half-space geometry. We determine the limiting distribution of the last passage time in a critical window…

### Stationary states of the one-dimensional discrete-time facilitated symmetric exclusion process

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- 2022

We describe the extremal translation invariant stationary (ETIS) states of the facilitated exclusion process on [Formula: see text]. In this model, all particles on sites with one occupied and one…

### The Free Boundary Schur Process and Applications I

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We investigate the free boundary Schur process, a variant of the Schur process introduced by Okounkov and Reshetikhin, where we allow the first and the last partitions to be arbitrary (instead of…

### Mapping hydrodynamics for the facilitated exclusion and zero-range processes

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- 2022

We derive the hydrodynamic limit for two degenerate lattice gases, the facilitated exclusion process (FEP) and the facilitated zero-range process (FZRP), both in the symmetric and the asymmetric…

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