# Shock fluctuations in TASEP under a variety of time scalings

@article{Bufetov2020ShockFI, title={Shock fluctuations in TASEP under a variety of time scalings}, author={Alexey Bufetov and Patrik L. Ferrari}, journal={arXiv: Probability}, year={2020} }

We consider the totally asymmetric simple exclusion process (TASEP) with two different initial conditions with shock discontinuities, made by block of fully packed particles. Initially a second class particle is at the left of a shock discontinuity. Using multicolored TASEP we derive an exact formulas for the distribution of the second class particle and colored height functions. These are given in terms of the height function at different positions of a single TASEP configuration. We study the…

## 3 Citations

### Shift-Invariance of the Colored TASEP and Finishing Times of the Oriented Swap Process

- Mathematics
- 2021

We prove a new shift-invariance property of the colored TASEP. From the shift-invariance of the colored six-vertex model (proved in Borodin-Gorin-Wheeler or Galashin), one can get a shift-invariance…

### Cutoff profile of ASEP on a segment

- MathematicsProbability Theory and Related Fields
- 2022

This paper studies the mixing behavior of the Asymmetric Simple Exclusion Process (ASEP) on a segment of length N and finds that for particle densities in (0, 1), the total-variation cutoff window of ASEP is N 1 / 3 and the cutoff profile is 1-F GUE, where F GUE is the Tracy-Widom distribution function.

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