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Fluctuation Properties of the TASEP with Periodic Initial Configuration

- A. Borodin, P. Ferrari, M. Praehofer, T. Sasamoto
- Mathematics
- 25 August 2006

Abstract
We consider the joint distributions of particle positions for the continuous time totally asymmetric simple exclusion process (TASEP). They are expressed as Fredholm determinants with a… Expand

21pYO-3 Spatial correlations of the 1D KPZ surface on a flat substrate

- T. Sasamoto
- Mathematics
- 18 April 2005

We study the spatial correlations of the one-dimensional KPZ surface for the flat initial condition. It is shown that the multi-point joint distribution for the height is given by a Fredholm… Expand

From duality to determinants for q-TASEP and ASEP

- A. Borodin, Ivan Corwin, T. Sasamoto
- Mathematics
- 20 July 2012

We prove duality relations for two interacting particle systems: the $q$-deformed totally asymmetric simple exclusion process ($q$-TASEP) and the asymmetric simple exclusion process (ASEP).… Expand

Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials

- M. Uchiyama, T. Sasamoto, M. Wadati
- Mathematics
- 18 December 2003

We study the one-dimensional asymmetric simple exclusion process (ASEP) with open boundary conditions. Particles are injected and ejected at both boundaries. It is clarified that the steady state of… Expand

One-dimensional Kardar-Parisi-Zhang equation: an exact solution and its universality.

- T. Sasamoto, H. Spohn
- Mathematics, PhysicsPhysical review letters
- 9 February 2010

TLDR

Exact height distributions for the KPZ equation with narrow wedge initial condition

- T. Sasamoto, H. Spohn
- Mathematics
- 9 February 2010

Fluctuations of the One-Dimensional Polynuclear Growth Model in Half-Space

- T. Sasamoto, T. Imamura
- Mathematics
- 1 July 2003

We consider the multi-point equal time height fluctuations of the one-dimensional polynuclear growth model in half-space. For special values of the nucleation rate at the origin, the multi-layer… Expand

The Crossover Regime for the Weakly Asymmetric Simple Exclusion Process

- T. Sasamoto, H. Spohn
- Mathematics
- 9 February 2010

We consider the asymmetric simple exclusion process in one dimension with weak asymmetry (WASEP) and 0–1 step initial condition. Our interest are the fluctuations of the time-integrated particle… Expand

One-dimensional partially asymmetric simple exclusion process with open boundaries: Orthogonal polynomials approach

- T. Sasamoto
- Physics
- 15 October 1999

One-dimensional asymmetric simple exclusion process with open boundarys is considered. This is a kind of lattice gas model. Particles enter the system at left edge, diffuse asymmetrically in the bulk… Expand

Exact solution for the stationary Kardar-Parisi-Zhang equation.

- T. Imamura, T. Sasamoto
- MathematicsPhysical review letters
- 20 November 2011

We obtain the first exact solution for the stationary one-dimensional Kardar-Parisi-Zhang equation. A formula for the distribution of the height is given in terms of a Fredholm determinant, which is… Expand

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