60 citations · 366 across the 26 of their papers we have counts for
11 papers · 1 filter
Singular relaxation of a random walk in a box with a Metropolis Monte Carlo dynamics
Alexei D. Chepelianskii, Satya N. Majumdar, Hendrik Schawe +1
We study analytically the relaxation eigenmodes of a simple Monte Carlo algorithm, corresponding to a particle in a box which moves by uniform random jumps. Moves outside of the bo…
Metropolis Monte Carlo sampling: convergence, localization transition and optimality
Alexei D. Chepelianskii, Satya N. Majumdar, Hendrik Schawe +1
Among random sampling methods, Markov Chain Monte Carlo algorithms are foremost. Using a combination of analytical and numerical approaches, we study their convergence properties t…
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…
One-dimensional Monte Carlo dynamics at zero temperature
Alexei D. Chepelianskii, Satya N. Majumdar, Hendrik Schawe +1
We investigate, both analytically and with numerical simulations, a Monte Carlo dynamics at zero temperature, where a random walker evolving in continuous space and discrete time s…
Mean perimeter and area of the convex hull of a planar Brownian motion in the presence of resetting
Satya N. Majumdar, Francesco Mori, Hendrik Schawe +1
We compute exactly the mean perimeter and the mean area of the convex hull of a -d Brownian motion of duration and diffusion constant , in the presence of resetting to th…
Large deviations of a random walk model with emerging territories
Hendrik Schawe, Alexander K. Hartmann
We study an agent-based model of animals marking their territory and evading adversarial territory in one dimension, with respect to the distribution of the size of the resulting t…
The convex hull of the run-and-tumble particle in a plane
Alexander K Hartmann, Satya N Majumdar, Hendrik Schawe +1
We study the statistical properties of the convex hull of a planar run-and-tumble particle (RTP), also known as the "persistent random walk", where the particle/walker runs ballist…
Asymptotic behavior of the length of the longest increasing subsequences of random walks
J. Ricardo G. Mendonça, Hendrik Schawe, Alexander K. Hartmann
We numerically estimate the leading asymptotic behavior of the length of the longest increasing subsequence of random walks with step increments following Student's -dis…
Large Deviations of Convex Hulls of the "True" Self-Avoiding Random Walk
Hendrik Schawe, Alexander K. Hartmann
We study the distribution of the area and perimeter of the convex hull of the "true" self-avoiding random walk in a plane. Using a Markov chain Monte Carlo sampling method, we obta…
Large Deviations of Convex Hulls of Self-Avoiding Random Walks
Hendrik Schawe, Alexander K. Hartmann, Satya N. Majumdar
A global picture of a random particle movement is given by the convex hull of the visited points. We obtained numerically the probability distributions of the volume and surface of…
Convex Hulls of Random Walks in Higher Dimensions: A Large Deviation Study
Hendrik Schawe, Alexander K. Hartmann, Satya N. Majumdar
The distribution of the hypervolume and surface of convex hulls of (multiple) random walks in higher dimensions are determined numerically, especially containing p…