132 citations · 446 across the 23 of their papers we have counts for
11 papers · 1 filter
Intermittency in Wind-Driven Fires
Laurent Hébert-Dufresne, Aanjaneya Kumar, S. Redner
We construct a wind-driven forest-fire model in one dimension in which a fire can jump gaps between trees to ignite disjoint downwind forests. The size of a gap that a fire can jum…
Dynamic redundancy and mortality in stochastic search
Samantha Linn, Aanjaneya Kumar
Search processes are a fundamental part of natural and artificial systems. In such settings, the number of searchers is rarely constant: new agents may be recruited while others ca…
Phase transitions in systems of particles with only hard-core interactions
Deepak Dhar, R. Rajesh, Aanjaneya Kumar
This article contains our comments and views on the status of the current understanding of phase transitions in systems with only hard-core interactions, based on our work in this…
Continuous Gated First-Passage Processes
Yuval Scher, Aanjaneya Kumar, M. S. Santhanam +1
Gated first-passage processes, where completion depends on both hitting a target and satisfying additional constraints, are prevalent across various fields. Despite their significa…
Inference from gated first-passage times
Aanjaneya Kumar, Yuval Scher, Shlomi Reuveni +1
First-passage times provide invaluable insight into fundamental properties of stochastic processes. Yet, various forms of gating mask first-passage times and differentiate them fro…
Universal framework for record ages under restart
Aanjaneya Kumar, Arnab Pal
We propose a universal framework to compute record age statistics of a stochastic time-series that undergoes random restarts. The proposed framework makes minimal assumptions on th…
First detection of threshold crossing events under intermittent sensing
Aanjaneya Kumar, Aniket Zodage, M. S. Santhanam
The time of the first occurrence of a threshold crossing event in a stochastic process, known as the first passage time, is of interest in many areas of sciences and engineering. C…
Chase-Escape Percolation on the 2D Square Lattice
Aanjaneya Kumar, Peter Grassberger, Deepak Dhar
Chase-escape percolation is a variation of the standard epidemic spread models. In this model, each site can be in one of three states: unoccupied, occupied by a single prey, or oc…
Improved Upper Bounds on the Asymptotic Growth Velocity of Eden Clusters
Aanjaneya Kumar, Deepak Dhar
We consider the asymptotic shape of clusters in the Eden model on a d-dimensional hypercubical lattice. We discuss two improvements for the well-known upper bound to the growth vel…
TASEP Speed Process: An Effective Medium Approach
Aanjaneya Kumar, Deepak Dhar
We discuss the approximate phenomenological description of the motion of a single second-class particle in a two-species totally asymmetric simple exclusion process (TASEP) on a 1D…
Distinct nodes visited by random walkers on scale-free networks
Aanjaneya Kumar, M. S. Santhanam
Random walks on discrete lattices are fundamental models that form the basis for our understanding of transport and diffusion processes. For a single random walker on complex netwo…