Vivek Dewan

collaborators

4 papers

math.PR2021

Mean-field bounds for Poisson-Boolean percolation

Vivek Dewan, Stephen Muirhead

We establish the mean-field bounds $γ \geq 1$ , $δ \geq 2$ and $△ \geq 2$ on the critical exponents of the Poisson-Boolean continuum percolation model under a moment condition on…

math.PR2021

Variance bounds for Gaussian first passage percolation

Vivek Dewan

Recently, many results have been established drawing a parallel between Bernoulli percolation and models given by levels of smooth Gaussian fields with unbounded, strongly decaying…

math.PR2021

Upper bounds on the one-arm exponent for dependent percolation models

Vivek Dewan, Stephen Muirhead

We prove upper bounds on the one-arm exponent $η_{1}$ for a class of dependent percolation models which generalise Bernoulli percolation; while our main interest is level set percola…

math.PR2020

Random pseudometrics and applications

Vivek Dewan, Damien Gayet

Let $T$ be a random ergodic pseudometric over $R^{d}$ . This setting generalizes the classical \emph{first passage percolation} (FPP) over $Z^{d}$ . We provide simple con…