Solution of the Kolmogorov equation for TASEP
arXiv:1906.01692 · doi:10.1214/20-AOP1425
Abstract
We provide a direct and elementary proof that the formula obtained in [MQR17] for the TASEP transition probabilities for general (one-sided) initial data solves the Kolmogorov backward equation. The same method yields the solution for the related PushASEP particle system.
arXiv commentMinor corrections and improvements. To appear in Ann. Probab
References in corpus (19)
- Level-Spacing Distributions and the Airy Kernel
- Shape Fluctuations and Random Matrices
- Discrete polynuclear growth and determinantal processes
- Level-Spacing Distributions and the Airy Kernel
- Fluctuation properties of the TASEP with periodic initial configuration
- Exact Solution of the Master Equation for the Asymmetric Exclusion Process
- Spatial correlations of the 1D KPZ surface on a flat substrate
- Matrices coupled in a chain. I. Eigenvalue correlations
- A Fredholm Determinant Representation in ASEP
- From duality to determinants for q-TASEP and ASEP
- Transition between Airy_1 and Airy_2 processes and TASEP fluctuations
- Fluctuations of the one-dimensional polynuclear growth model with external sources
- Scale Invariance of the PNG Droplet and the Airy Process
- Limit process of stationary TASEP near the characteristic line
- Current moments of 1D ASEP by duality
- Spectrum of the totally asymmetric simple exclusion process on a periodic lattice -- first excited states
- Spectrum of the totally asymmetric simple exclusion process on a periodic lattice - bulk eigenvalues
- TASEP and generalizations: Method for exact solution
- From the totally asymmetric simple exclusion process to the KPZ fixed point