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  • Distinct nodes visited by random walkers on scale-free networks 
    KUMAR, AANJANEYA; GOSWAMI, YAGYIK; SANTHANAM, M. S. (Elsevier B.V., 2019-10)
    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 networks, many properties such as the mean first ...
  • TASEP speed process: an effective medium approach 
    KUMAR, AANJANEYA; DHAR, DEEPAK (IOP Publishing, 2020-01)
    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 lattice. Initially, the second class ...
  • Extreme events in stochastic transport on networks 
    KUMAR, AANJANEYA; KULKARNI, SUMAN; SANTHANAM, M. S. (AIP Publishing, 2020-04)
    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 networks to traffic congestion on roads. ...
  • The evolution of trust and trustworthiness 
    KUMAR, AANJANEYA; Capraro, Valerio; Perc, Matjaž (The Royal Society, 2020-08)
    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 forms of prosocial and moral behaviour. ...
  • Improved Upper Bounds on the Asymptotic Growth Velocity of Eden Clusters 
    KUMAR, AANJANEYA; DHAR, DEEPAK (Springer Nature, 2020-09)
    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 velocity in different directions by that of ...
  • Simplicial contagion in temporal higher-order networks 
    Chowdhary, Sandeep; KUMAR, AANJANEYA; Cencetti, Giulia; Lacopini, Lacopo; Battiston, Federico (IOP Publishing, 2021-09)
    Complex networks represent the natural backbone to study epidemic processes in populations of interacting individuals. Such a modeling framework, however, is naturally limited to pairwise interactions, making it less ...
  • Chase-Escape percolation on the 2D square lattice 
    KUMAR, AANJANEYA; Grassberger, Peter; DHAR, DEEPAK (Elsevier B.V., 2021-09)
    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 occupied by a single predator. Prey particles ...
  • Evolution of honesty in higher-order social networks 
    KUMAR, AANJANEYA; Chowdhary, Sandeep; Capraro, Valerio; Perc, Matjaz (American Physical Society, 2021-11)
    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 receiver. In many practical scenarios, lies often ...
  • First detection of threshold crossing events under intermittent sensing 
    KUMAR, AANJANEYA; ZODAGE, ANIKET; SANTHANAM, M. S. (American Physical Society, 2021-11)
    The time taken by a random variable to cross a threshold for the first time, known as the first passage time, is of interest in many areas of sciences and engineering. Conventionally, there is an implicit assumption that ...
  • Reversible target-binding kinetics of multiple impatient particles 
    Grebenkov, Denis S.; KUMAR, AANJANEYA (AIP Publishing, 2022-02)
    Certain biochemical reactions can only be triggered after binding a sufficient number of particles to a specific target region such as an enzyme or a protein sensor. We investigate the distribution of the reaction time, ...
  • First-passage times of multiple diffusing particles with reversible target-binding kinetics 
    Grebenkov, Denis S.; KUMAR, AANJANEYA (IOP Publishing, 2022-08)
    We investigate a class of diffusion-controlled reactions that are initiated at the time instance when a prescribed number K among N particles independently diffusing in a solvent are simultaneously bound to a target region. ...
  • Universal Framework for Record Ages under Restart 
    KUMAR, AANJANEYA; Pal, Arnab (American Physical Society, 2023-04)
    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 the underlying process and is furthermore ...
  • Phase transitions in systems of particles with only hard-core interactions 
    DHAR, DEEPAK; Rajesh, R.; KUMAR, AANJANEYA (IOP Publishing, 2023-09)
    This article contains our comments and views on the status of the current understanding of phase transitions in systems in thermodynamic equilibrium with only hard-core interactions, based on our work in this area. The ...
  • Inference from gated first-passage times 
    KUMAR, AANJANEYA; Scher, Yuval; Reuveni, Shlomi; SANTHANAM, M. S. (American Physical Society, 2023-09)
    First-passage times provide invaluable insight into fundamental properties of stochastic processes. Yet, various forms of gating mask first-passage times and differentiate them from actual detection times. For instance, ...

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