132 citations · 446 across the 23 of their papers we have counts for
23 papers
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…
The Origins of Transient Bimodality
Kaan Öcal, Augustinas Sukys, Aanjaneya Kumar +1
Many dynamical systems exhibit diverse modes of behavior. In biology, such modes can represent individual or cell fates. While the emergence of multimodality is commonly studied, t…
Branching under First-Passage Resetting
Aanjaneya Kumar, James Holehouse
Many biological processes, from cell division to viral lysis, are triggered when an internal stochastic variable reaches a threshold. Here we introduce Branching under First-Passag…
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…
Chase-escape with conversion as a multiple sclerosis lesion model
Emma Bailey, Erin Beckman, Saraí Hernández-Torres +8
We introduce conversion to the stochastic process known as chase-escape in an effort to model aspects of inflammatory damage from multiple sclerosis. We prove monotonicity results…
Voter Turnouts Govern Key Electoral Statistics
Ritam Pal, Aanjaneya Kumar, M. S. Santhanam
Elections, the cornerstone of democratic societies, are usually regarded as unpredictable due to the complex interactions that shape them at different levels. In this work, we show…
Universal Statistics of Competition in Democratic Elections
Ritam Pal, Aanjaneya Kumar, M. S. Santhanam
Elections for public offices in democratic nations are large-scale examples of collective decision-making. As a complex system with a multitude of interactions among agents, we can…
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…
Depolarization of opinions on social networks through random nudges
Ritam Pal, Aanjaneya Kumar, M. S. Santhanam
Polarization of opinions has been empirically noted in many online social network platforms. Traditional models of opinion dynamics, based on statistical physics principles, do not…
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-passage times of multiple diffusing particles with reversible target-binding kinetics
Denis S. Grebenkov, Aanjaneya Kumar
We investigate a class of diffusion-controlled reactions that are initiated at the time instance when a prescribed number among particles independently diffusing in a solve…
Reversible Target-Binding Kinetics of Multiple Impatient Particles
Denis S. Grebenkov, Aanjaneya Kumar
Certain biochemical reactions can only be triggered after binding of a sufficient number of particles to a specific target region such as an enzyme or a protein sensor. We investig…
Evolution of honesty in higher-order social networks
Aanjaneya Kumar, Sandeep Chowdhary, Valerio Capraro +1
Sender-receiver games are simple models of information transmission that provide a formalism to study the evolution of honest signaling and deception between a sender and a receive…
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…
Simplicial contagion in temporal higher-order networks
Sandeep Chowdhary, Aanjaneya Kumar, Giulia Cencetti +2
Complex networks represent the natural backbone to study epidemic processes in populations of interacting individuals. Such a modeling framework, however, is naturally limited to p…
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…
The evolution of trust and trustworthiness
Aanjaneya Kumar, Valerio Capraro, Matjaz Perc
Trust and trustworthiness form the basis for continued social and economic interactions, and they are also fundamental for cooperation, fairness, honesty, and indeed for many other…
Extreme events in stochastic transport on networks
Aanjaneya Kumar, Suman Kulkarni, M. S. Santhanam
Extreme events are emergent phenomena in multi-particle transport processes on complex networks. In practice, such events could range from power blackouts to call drops in cellular…
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…