5 papers
Classification of the eternal solutions and multiple coalescing shocks in the KPZ fixed point
Sudeshna Bhattacharjee, Ofer Busani, Evan Sorensen
We give a complete classification of the eternal solutions for the KPZ fixed point. Each of these is a (possibly infinite) max-plus convolution of the known eternal solutions, call…
Scaling limit of multi-type invariant measures via the directed landscape
Ofer Busani, Timo Seppäläinen, Evan Sorensen
This paper studies the large scale limits of multi-type invariant distributions and Busemann functions of planar stochastic growth models in the Kardar-Parisi-Zhang (KPZ) class. We…
Jointly invariant measures for the Kardar-Parisi-Zhang Equation
Sean Groathouse, Firas Rassoul-Agha, Timo Seppäläinen +1
We give an explicit description of the jointly invariant measures for the KPZ equation. These are couplings of Brownian motions with drift, and can be extended to a process defined…
On Zero-Sector Reducing Operators
David A. Cardon, Tamás Forgács, Andrzej Piotrowski +2
We prove a Jensen-disc type theorem for polynomials having all their zeros in a sector of the complex plane. This result is then used to prove the existence of…
Real-Root Preserving Differential Operator Representations of Orthogonal Polynomials
David A. Cardon, Evan L. Sorensen, Jason C. White
In this paper, we study linear transformations of the form where is an orthogonal polynomial system. Of particular interest is understanding when these…