12 citations · 22 across the 11 of their papers we have counts for
11 papers
How fast do rumours spread?
Rishideep Roy, Kumarjit Saha
We study a rumour propagation model along the lines of \cite{lebensztayn2008disk} as a long-range percolation model on . We begin by showing a sharp phase transition-type behav…
Scaling limit of a drainage network model on perturbed lattice
Rahul Roy, Kumarjit Saha, Anish Sarkar
Study of random networks generally requires the nodes to be independently and uniformly distributed such as a Poisson point process. In this work, we venture beyond this standard p…
Convergence of the dynamical discrete web to the dynamical Brownian web
Krishnamurthi Ravishankar, Kumarjit Saha
In this paper we study the convergence of dynamical discrete web (DyDW) to the dynamical Brownian web (DyBW) in the path space topology. We show that almost surely the DyBW has RCL…
Coexistence in discrete time Multi-type competing Frog Models
Rishideep Roy, Kumarjit Saha
We study coexistence in discrete time multi-type frog models. We first show that for two types of particles on , for , for any jumping parameters $p_1, p_2 \i…
Transmission and navigation on disordered lattice networks, directed spanning forests and Brownian web
Subhroshekhar Ghosh, Kumarjit Saha
Stochastic networks based on random point sets as nodes have attracted considerable interest in many applications, particularly in communication networks, including wireless sensor…
The 2d-directed spanning forest converges to the Brownian web
David Coupier, Kumarjit Saha, Anish Sarkar +1
The two-dimensional directed spanning forest (DSF) introduced by Baccelli and Bordenave is a planar directed forest whose vertex set is given by a homogeneous Poisson point process…
Existence and coalescence of directed infinite geodesics in the percolation cone for Durrett-Liggett class of measures
Kumarjit Saha
For first passage percolation (FPP) on integer lattice with i.i.d. passage time distributions, in order to show existence of semi-infinite geodesics along a fixed direction, one re…
Continuum random tree as the scaling limit for a drainage network model: a Brownian web approach
Kumarjit Saha
We consider the tributary structure of Howard's drainage model studied by Gangopadhyay et. al. Conditional on the event that the tributary survives up to time , we show that, as…
Collision times of random walks and applications to the Brownian web
David Coupier, Kumarjit Saha, Anish Sarkar +1
Convergence of directed forests, spanning on random subsets of lattices or on point processes, towards the Brownian web has made the subject of an abundant literature, a large part…
Hack's law in a drainage network model: A Brownian web approach
Rahul Roy, Kumarjit Saha, Anish Sarkar
Hack [Studies of longitudinal stream profiles in Virginia and Maryland (1957). Report], while studying the drainage system in the Shenandoah valley and the adjacent mountains of Vi…
Random directed forest and the Brownian web
Rahul Roy, Kumarjit Saha, Anish Sarkar
Consider the dimensional lattice where each vertex is open or closed with probability or respectively. An open vertex $\mathbb{u} := (\mathbb{u}(1), \m…