Zobrazeno 1 - 10
of 414
pro vyhledávání: '"Hartmann Alexander K"'
Autor:
Hartmann, Alexander K.
A percolation model inspired by crossword puzzle games is introduced. A game proceeds by solving words, which are segments of sites in a two-dimensional lattice. As test case, the \emph{iid} variant allows for independently occupying sites with lette
Externí odkaz:
http://arxiv.org/abs/2408.12484
Publikováno v:
Phys. Rev. E 110(4), 044142 (2024)
In this paper, we study a simple model of a diffusive particle on a line, undergoing a stochastic resetting with rate $r$, via rescaling its current position by a factor $a$, which can be either positive or negative. For $|a|<1$, the position distrib
Externí odkaz:
http://arxiv.org/abs/2406.08387
Publikováno v:
Phys. Rev. E 110, 054112 (2024)
The Griffiths phase in systems with quenched disorder occurs below the ordering transition of the pure system down to the ordering transition of the actual disordered system. While it does not exhibit long-range order, large fluctuations in the disor
Externí odkaz:
http://arxiv.org/abs/2405.02889
A regime of coexistence of asynchronous and clustered dynamics is analyzed for globally coupled homogeneous and heterogeneous inhibitory networks of quadratic integrate-and-fire (QIF) neurons subject to Gaussian noise. The analysis is based on accura
Externí odkaz:
http://arxiv.org/abs/2402.06548
A central theoretical issue at the core of the current research on many-body localization (MBL) consists in characterizing the statistics of rare long-range resonances in many-body eigenstates. This is of paramount importance to understand: (i) the c
Externí odkaz:
http://arxiv.org/abs/2312.14873
Autor:
Werner, Peter, Hartmann, Alexander K.
The Higgs RNA-Model is studied in regard to finite-time driving protocols with minimal-work requirement. In this paper, RNA sequences which at low temperature exhibits hairpins are considered, which are often cited as typical template systems in stoc
Externí odkaz:
http://arxiv.org/abs/2310.03364
The probability distribution of the maximum $M_t$ of a single resetting Brownian motion (RBM) of duration $t$ and resetting rate $r$, properly centred and scaled, is known to converge to the standard Gumbel distribution of the classical extreme value
Externí odkaz:
http://arxiv.org/abs/2309.17432
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 the probability that, for a given realization of the jump probabilities
Externí odkaz:
http://arxiv.org/abs/2307.15041
Autor:
Feld, Yannick, Hartmann, Alexander K.
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 previous studies that focused on branching processes starting with th
Externí odkaz:
http://arxiv.org/abs/2307.13558
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 algorithm, we study the distribution of the cumulative fraction of infected
Externí odkaz:
http://arxiv.org/abs/2307.13521