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) patching together of the known eternal solutions, called…
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…
Road layout in the KPZ class
Márton Balázs, Sudeshna Bhattacharjee, Karambir Das +1
We propose a road layout and traffic model, based on last passage percolation (LPP). An easy naive argument shows that coalescence of traffic trajectories is essential to be consid…
Macroscopic Hausdorff dimension of the level sets of the Airy processes
Sudeshna Bhattacharjee, Fei Pu
We study the Macroscopic Hausdorff dimension of the upper and lower level sets of the Airy processes, following the general method developed in Khoshnevisan et al. \cite{KKX17}. Fo…
The Paquette-Zeitouni law of fractional logarithms for the GUE minor process and the Plancherel growth process
Jnaneshwar Baslingker, Riddhipratim Basu, Sudeshna Bhattacharjee +1
It is well-known that the largest eigenvalue of an GUE matrix and the length of a longest increasing subsequence in a uniform random permutation of length , both con…