60 citations · 366 across the 26 of their papers we have counts for
26 papers
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…
On the side-effects of compromising: coupling agents' heterogeneity with network effects on a bounded confidence opinion dynamics model
Rémi Perrier, Hendrik Schawe, Laura Hernández
We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phas…
Who talks about what? Comparing the information treatment in traditional media with online discussions
Hendrik Schawe, Mariano Gastón Beiró, J. Ignacio Alvarez-Hamelin +2
We study the dynamics of interactions between a traditional medium, the New York Times journal, and its followers in Twitter, using a massive dataset. It consists of the metadata o…
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…
Higher order interactions destroy phase transitions in Deffuant opinion dynamics model
Hendrik Schawe, Laura Hernández
We define a higher order Deffuant model by generalizing the original pairwise interaction model for bounded-confidence opinion-dynamics to interactions involving a group of agents…
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…
The bridges to consensus: Network effects in a bounded confidence opinion dynamics model
Hendrik Schawe, Sylvain Fontaine, Laura Hernández
In this work we present novel results to the problem of the Hegselmann-Krause dynamics in networks obtained by an extensive study of the behavior of the standard order parameter se…
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…
Collective effects of the cost of opinion change
Hendrik Schawe, Laura Hernández
We study the dynamics of opinion formation in the situation where changing opinion involves a cost for the agents. To do so we couple the dynamics of a heterogeneous bounded confid…
How many longest increasing subsequences are there?
Phil Krabbe, Hendrik Schawe, Alexander K. Hartmann
We study the entropy of longest increasing subsequences (LIS), i.e., the logarithm of the number of distinct LIS. We consider two ensembles of sequences, namely random permutat…
Large deviations of connected components in the stochastic block model
Hendrik Schawe, Alexander K. Hartmann
We study the stochastic block model which is often used to model community structures and study community-detection algorithms. We consider the case of two blocks in regard to its…
When open mindedness hinders consensus
Hendrik Schawe, Laura Hernández
We perform a detailed study of the Hegselmann-Krause bounded confidence opinion dynamics model with heterogeneous confidence drawn from uniform distributions in dif…
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 the length of the longest increasing subsequence of random permutations and random walks
Jörn Börjes, Hendrik Schawe, Alexander K. Hartmann
We study numerically the distributions of the length of the longest increasing subsequence (LIS) for the two cases of random permutations and of one-dimensional random walks. U…
Large-deviation properties of the largest biconnected component for random graphs
Hendrik Schawe, Alexander K. Hartmann
We study the size of the largest biconnected components in sparse Erdős-Rényi graphs with finite connectivity and Barabási-Albert graphs with non-integer mean degree. Using a stati…
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…
Ground state energy of noninteracting fermions with a random energy spectrum
Hendrik Schawe, Alexander K. Hartmann, Satya N. Majumdar +1
We derive analytically the full distribution of the ground-state energy of non-interacting fermions in a disordered environment, modelled by a Hamiltonian whose spectrum consis…
Replica Symmetry and Replica Symmetry Breaking for the Traveling Salesperson Problem
Hendrik Schawe, Jitesh Kumar Jha, Alexander K. Hartmann
We study the energy landscape of the Traveling Salesperson problem (TSP) using exact ground states and a novel linear programming approach to generate excited states with closely d…
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…
Vertebrate pollinators: phase transition in a time-dependent generalized traveling-salesperson problem
M. Jungsbluth, J. Thiele, Y. Winter +2
We introduce a model for the global optimization problem of nectar harvesting by flower visitors, e.g., nectar-feeding bats, as a generalization of the (multiple) traveling-salespe…
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…