S. Ganguly

activity

20172022

most citedLarge deviations for the largest eigenvalue of Gaussian networks with constant average degree

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

collaborators

21 papers

math.PR2022

Upper tail behavior of the number of triangles in random graphs with constant average degree

Shirshendu Ganguly, Ella Hiesmayr, Kyeongsik Nam

Let $N$ be the number of triangles in an Erdős-Rényi graph $G (n, p)$ on $n$ vertices with edge density $p = d / n,$ where $d > 0$ is a fixed constant. It is well known that $N$ …

math.PR2021

Collapse and Diffusion in Harmonic Activation and Transport

Jacob Calvert, Shirshendu Ganguly, Alan Hammond

For an $n$ -element subset $U$ of $Z^{2}$ , select $x$ from $U$ according to harmonic measure from infinity, remove $x$ from $U$ , and start a random walk from $x$ . If the walk…

math.PR2021

Random metric geometries on the plane and Kardar-Parisi-Zhang universality

Shirshendu Ganguly

This is the article with the same title which is scheduled to appear in the January 2022 issue of the AMS Notices, with additional references which could not be provided in the acc…

math.PR2021

Environment seen from infinite geodesics in Liouville Quantum Gravity

Riddhipratim Basu, Manan Bhatia, Shirshendu Ganguly

First passage percolation (FPP) on $Z^{d}$ or $R^{d}$ is a canonical model of a random metric space where the standard Euclidean geometry is distorted by random noise…

math.PR2021

Local and global comparisons of the Airy difference profile to Brownian local time

Shirshendu Ganguly, Milind Hegde

There has recently been much activity within the Kardar-Parisi-Zhang universality class spurred by the construction of the canonical limiting object, the parabolic Airy sheet $\mat…

math.PR2021★ 1 cited

Large deviations for the largest eigenvalue of Gaussian networks with constant average degree

Shirshendu Ganguly, Kyeongsik Nam

Large deviation behavior of the largest eigenvalue $λ_{1}$ of Gaussian networks (Erdős-Rényi random graphs $G_{n, p}$ with i.i.d. Gaussian weights on the edges) has been the…