Subhajit Goswami

activity

20152026

most citedEquality of critical parameters for percolation of Gaussian free field level-sets

54 citations · 185 across the 24 of their papers we have counts for

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17 papers · 1 filter

math.PR2026

Critical level-set percolation on finite graphs and spectral gap

Subhajit Goswami, Dipranjan Pal

We study the bond percolation on finite graphs induced by the level-sets of zero-average Gaussian free field on the associated metric graph above a given height (level) parameter $…

math.PR2025

Sharp connectivity bounds for the vacant set of random interlacements

Subhajit Goswami, Pierre-François Rodriguez, Yuriy Shulzhenko

We consider percolation of the vacant set of random interlacements at intensity $u$ in dimensions three and higher, and derive lower bounds on the truncated two-point function for…

math.PR2025

Strong local uniqueness for the vacant set of random interlacements

Subhajit Goswami, Pierre-François Rodriguez, Yuriy Shulzhenko

We consider the the vacant set $V^{u}$ of random interlacements on $Z^{d}$ in dimensions $d \geq 3$ . For varying intensity $u > 0$ , the connectivity properties of $\m…

math.PR2023

A characterization of strong percolation via disconnection

Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2

We consider a percolation model, the vacant set $V^{u}$ of random interlacements on $Z^{d}$ , $d \geq 3$ , in the regime of parameters $u > 0$ in which it is strongly pe…

math.PR2023

Phase transition for the vacant set of random walk and random interlacements

Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2

We consider the set of points visited by the random walk on the discrete torus $(Z / N Z)^{d}$ , for $d \geq 3$ , at times of order $u N^{d}$ , for a parameter $u > 0$ in the…

math.PR2023

Finite range interlacements and couplings

Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2

In this article, we consider the interlacement set $I^{u}$ at level $u > 0$ on $Z^{d}$ , $d \geq 3$ , and its finite range version $I^{u, L}$ for $L > 0$ , given b…

math.PR2022★ 1 cited

Roughness of geodesics in Liouville quantum gravity

Zherui Fan, Subhajit Goswami

The metric associated with the Liouville quantum gravity (LQG) surface has been constructed through a series of recent works and several properties of its associated geodesics have…

math.PR2021★ 27 cited

On the radius of Gaussian free field excursion clusters

Subhajit Goswami, Pierre-François Rodriguez, Franco Severo

We consider the Gaussian free field $φ$ on $Z^{d}$ , for $d \geq 3$ , and give sharp bounds on the probability that the radius of a finite cluster in the excursion set $\{φ\geq…

math.PR2020★ 54 cited

Equality of critical parameters for percolation of Gaussian free field level-sets

Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +1

We consider upper level-sets of the Gaussian free field on $Z^{d}$ , for $d \geq 3$ , above a given real-valued height parameter $h$ . As $h$ varies, this defines a canonical per…

math.PR2018★ 21 cited

Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature

Hugo Duminil-Copin, Subhajit Goswami, Aran Raoufi

The truncated two-point function of the ferromagnetic Ising model on $Z^{d}$ ( $d \geq 3$ ) in its pure phases is proven to decay exponentially fast throughout the ordered regime…

math.PR2018★ 29 cited

Existence of phase transition for percolation using the Gaussian Free Field

Hugo Duminil-Copin, Subhajit Goswami, Aran Raoufi +2

In this paper, we prove that Bernoulli percolation on bounded degree graphs with isoperimetric dimension $d > 4$ undergoes a non-trivial phase transition (in the sense that $p_{c} < 1$ ).…

math.PR2016★ 8 cited

Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field

Marek Biskup, Jian Ding, Subhajit Goswami

Given any $γ > 0$ and for $η = {η_{v}}_{v \in Z^{2}}$ denoting a sample of the two-dimensional discrete Gaussian free field on $Z^{2}$ pinned at the origin, we consider the…

math.PR2016

Finite size scaling of random XORSAT

Subhajit Goswami

We consider a "configuration model" for random XORSAT which is a random system of $n$ equations over $m$ variables in $F_{2}$ . Each equation is of the form $y_1 + y_2 + \cdot…

math.PR2016★ 15 cited

Upper bounds on Liouville first passage percolation and Watabiki's prediction

Jian Ding, Subhajit Goswami

Given a planar continuum Gaussian free field $h^{U}$ in a domain $U$ with Dirichlet boundary condition and any $δ > 0$ , we let $\{h_δ^{\mathcal U}(v): v\in \mathcal…

math.PR2016★ 4 cited

Liouville first passage percolation: the weight exponent is strictly less than 1 at high temperatures

Jian Ding, Subhajit Goswami

Let ${η_{N, v} : v \in V_{N}}$ be a discrete Gaussian free field in a two-dimensional box $V_{N}$ of side length $N$ with Dirichlet boundary conditions. We study the Liouville first pa…

math.PR2015★ 3 cited

First passage percolation on the exponential of two-dimensional branching random walk

Jian Ding, Subhajit Goswami

We consider the branching random walk ${R_{z}^{N} : z \in V_{N}}$ with Gaussian increments indexed over a two-dimensional box $V_{N}$ of side length $N$ , and we study the first pa…

math.PR2015★ 3 cited

Percolation of averages in the stochastic mean field model: the near-supercritical regime

Jian Ding, Subhajit Goswami

For a complete graph of size $n$ , assign each edge an i.i.d.\ exponential variable with mean $n$ . For $λ > 0$ , consider the length of the longest path whose average weight is at most…