Sudeshna Bhattacharjee

activity

20232026

β

-ensembles and applications to last passage percolation

2 citations · 3 across the 8 of their papers we have counts for

collaborators

8 papers

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) max-plus convolution of the known eternal solutions, call…

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 $b (x, t)$ of the KPZ fixed point satisfying the asymptotic slope condition $lim_{∣ x ∣ \to \infty} \frac{b ( x , 0 )}{x} = 2 ξ$ …

math.PR2025

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…

math.PR2024

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 $n \times n$ GUE matrix and the length of a longest increasing subsequence in a uniform random permutation of length $n$ , both con…

math.PR2024

Limit theorems for extrema of Airy processes

Riddhipratim Basu, Sudeshna Bhattacharjee

We establish limit theorems for the maxima and minima of Airy $_{1}$ and Airy $_{2}$ processes (denoted by $A_{1} (\cdot)$ and $A_{2} (\cdot)$ respectively) over growing in…

math.PR2024★ 2 cited

Optimal tail estimates in $β$ -ensembles and applications to last passage percolation

Jnaneshwar Baslingker, Riddhipratim Basu, Sudeshna Bhattacharjee +1

Hermite and Laguerre $β$ -ensembles are important and well studied models in random matrix theory with special cases $β = 1, 2, 4$ corresponding to eigenvalues of classical random matri…

math.PR2024★ 1 cited

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…

math.PR2023

Geodesic trees in last passage percolation and some related problems

Márton Balázs, Riddhipratim Basu, Sudeshna Bhattacharjee

For the exactly solvable model of exponential last passage percolation on $Z^{2}$ , it is known that given any non-axial direction, all the semi-infinite geodesics starting f…