174 citations · 210 across the 11 of their papers we have counts for
13 papers
Space-time fractional stochastic Burgers-type equation
Ming-Wei Kuo, Konstantin Matetski
We establish the existence and uniqueness of solutions to a -dimensional fractional stochastic Burgers-type equation featuring a Caputo fractional time derivative, a fractio…
Martingale-driven integrals and singular SPDEs
Paolo Grazieschi, Konstantin Matetski, Hendrik Weber
We consider multiple stochastic integrals with respect to càdlàg martingales, which approximate a cylindrical Wiener process. We define a chaos expansion, analogous to the case of…
The dynamical Ising-Kac model in 3D converges to
Paolo Grazieschi, Konstantin Matetski, Hendrik Weber
We consider the Glauber dynamics of a ferromagnetic Ising-Kac model on a three-dimensional periodic lattice of size , in which the flipping rate of each spin depends on…
Exact solution of TASEP and variants with inhomogeneous speeds and memory lengths
Konstantin Matetski, Daniel Remenik
In [arXiv:1701.00018, arXiv:2107.07984] an explicit biorthogonalization method was developed that applies to a class of determinantal measures which describe the evolution of sever…
The strong Feller property of the open KPZ equation
Alisa Knizel, Konstantin Matetski
We prove that the semigroup generated by the open KPZ equation on a bounded spatial interval with Neumann boundary conditions parametrized by real parameters u and v enjoys the str…
Polynuclear growth and the Toda lattice
Konstantin Matetski, Jeremy Quastel, Daniel Remenik
It is shown that the polynuclear growth model is a completely integrable Markov process in the sense that its transition probabilities are given by Fredholm determinants of kernels…
TASEP and generalizations: Method for exact solution
Konstantin Matetski, Daniel Remenik
The explicit biorthogonalization method, developed in [arXiv:1701.00018] for continuous time TASEP, is generalized to a broad class of determinantal measures which describe the evo…
Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness
Ivan Corwin, Alan Hammond, Milind Hegde +1
In 2002, Johansson conjectured that the maximum of the Airy process minus the parabola is almost surely achieved at a unique location. This result was proved a decade lat…
Stochastic PDE limit of the dynamic ASEP
Ivan Corwin, Promit Ghosal, Konstantin Matetski
We study a stochastic PDE limit of the height function of the dynamic asymmetric simple exclusion process (dynamic ASEP). A degeneration of the stochastic Interaction Round-a-Face…
Martingale-driven approximations of singular stochastic PDEs
Konstantin Matetski
We define multiple stochastic integrals with respect to càdlàg martingales and prove moment bounds and chaos expansions, which allow to work with them in a way similar to Wiener st…
From the totally asymmetric simple exclusion process to the KPZ fixed point
Jeremy Quastel, Konstantin Matetski
These are the lecture notes for the mini-course at the PCMI graduate summer school in 2017. These notes are based on the article by Matetski, Quastel and Remenik arXiv:1701.00018 a…
The KPZ fixed point
Konstantin Matetski, Jeremy Quastel, Daniel Remenik
An explicit Fredholm determinant formula is derived for the multipoint distribution of the height function of the totally asymmetric simple exclusion process (TASEP) with arbitrary…
Space-time discrete KPZ equation
Giuseppe Cannizzaro, Konstantin Matetski
We study a general family of space-time discretizations of the KPZ equation and show that they converge to its solution. The approach we follow makes use of basic elements of the t…