69 citations · 428 across the 32 of their papers we have counts for
8 papers · 1 filter
Probing the large deviations for the Beta random walk in random medium
Alexander K. Hartmann, Alexandre Krajenbrink, Pierre Le Doussal
We consider a discrete-time random walk on a one-dimensional lattice with space and time-dependent random jump probabilities, known as the Beta random walk. We are interested in th…
Rare Events of Host Switching for Diseases using a SIR Model with Mutations
Yannick Feld, Alexander K. Hartmann
We numerically study disease dynamics that lead to the disease switching from one host species to another, resulting in diseases gaining the ability to infect, e.g., humans. Unlike…
Non-Analytic Behaviour in Large-deviations of the SIR model under the influence of Lockdowns
Leo Patrick Mulholland, Yannick Feld, Alexander K. Hartmann
We numerically investigate the dynamics of an SIR model with infection level-based lockdowns on Small-World networks. Using a large-deviation approach, namely the Wang-Landau algor…
Time-dependent probability density function for partial resetting dynamics
C. Di Bello, A. V. Chechkin, A. K. Hartmann +2
Stochastic resetting is a rapidly developing topic in the field of stochastic processes and their applications. It denotes the occasional reset of a diffusing particle to its start…
Metastate analysis of the ground states of two-dimensional Ising spin glasses
A. K. Hartmann, A. P. Young
Using an efficient polynomial-time ground state algorithm we investigate the Ising spin glass state at zero temperature in two dimensions. For large sizes, we show that the spin st…
Energy landscapes of some matching-problem ensembles
Till Kahlke, Alexander K. Hartmann
The maximum-weight matching problem and the behavior of its energy landscape is numerically investigated. We apply a perturbation method adapted from the analysis of spin glasses.…