29 citations · 86 across the 19 of their papers we have counts for
20 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…
Exceptional force, uncountably many solutions in the KPZ fixed point
Sudeshna Bhattacharjee, Ofer Busani, Evan Sorensen
We give a complete characterization of all eternal solutions of the KPZ fixed point satisfying the asymptotic slope condition …
Hydrodynamics and relaxation limit for multilane exclusion process and related hyperbolic systems
Gideon Amir, Christophe Bahadoran, Ofer Busani +1
We investigate the hydrodynamic behavior and local equilibrium of the multilane exclusion process, whose invariant measures were studied in our previous paper \cite{mlt1a}. The dyn…
Partial yet definite emergence of the Kardar-Parisi-Zhang class in isotropic spin chains
Kazumasa A. Takeuchi, Kazuaki Takasan, Ofer Busani +3
Integrable spin chains with a continuous non-Abelian symmetry, such as the one-dimensional isotropic Heisenberg model, show superdiffusive transport with little theoretical underst…
Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape
Ofer Busani
It is believed that for metric-like models in the KPZ class the following property holds: with probability one, starting from any point, there are at most two semi-infinite geodesi…
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…