28 citations · 56 across the 10 of their papers we have counts for
10 papers
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…
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…
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…
Brownian Web and Oriented Percolation: Density Bounds
Anish Sarkar, Rongfeng Sun
In a recent work, we proved that under diffusive scaling, the collection of rightmost infinite open paths in a supercritical oriented percolation configuration on the space-time la…