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math.PR2026
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) patching together of the known eternal solutions, called…
math.PR2025
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 $\lim_{|x| \to \infty} \frac{b(x,0)}{x} = 2ξ…
math.PR2025
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…