265 citations · 2.6k across the 87 of their papers we have counts for
8 papers · 1 filter
Mean area of the convex hull of a run and tumble particle in two dimensions
Prashant Singh, Anupam Kundu, Satya N. Majumdar +1
We investigate the statistics of the convex hull for a single run-and-tumble particle in two dimensions. Run-and-tumble particle, also known as persistent random walker, has gained…
Edge fluctuations and third-order phase transition in harmonically confined long-range systems
Jitendra Kethepalli, Manas Kulkarni, Anupam Kundu +3
We study the distribution of the position of the rightmost particle in a -particle Riesz gas in one dimension confined in a harmonic trap. The particles interact via…
Estimation of Constrained Mean-Covariance of Normal Distributions
Anupam Kundu, Mohsen Pourahmadi
Estimation of the mean vector and covariance matrix is of central importance in the analysis of multivariate data. In the framework of generalized linear models, usually the varian…
Gap Statistics for Confined Particles with Power-Law Interactions
Saikat Santra, Jitendra Kethepalli, Sanaa Agarwal +3
We consider the particle classical Riesz gas confined in a one-dimensional external harmonic potential with power law interaction of the form where is the separatio…
Entropy growth during free expansion of an ideal gas
Subhadip Chakraborti, Abhishek Dhar, Sheldon Goldstein +2
To illustrate Boltzmann's construction of an entropy function that is defined for a microstate of a macroscopic system, we present here the simple example of the free expansion of…
Harmonically confined long-ranged interacting gas in the presence of a hard wall
Jitendra Kethepalli, Manas Kulkarni, Anupam Kundu +3
In this paper, we compute exactly the average density of a harmonically confined Riesz gas of particles for large in the presence of a hard wall. In this Riesz gas, the par…