7 citations · 15 across the 9 of their papers we have counts for
9 papers
Numerical Estimation of Limiting Large-Deviation Rate Functions
Peter Werner, Alexander K. Hartmann
For statistics of rare events in systems obeying a large-deviation principle, the rate function is a key quantity. When numerically estimating the rate function one is always restr…
Numerical Aspects of Large Deviations
Alexander K. Hartmann
An introduction to numerical large-deviation sampling is provided. First, direct biasing with a known distribution is explained. As simple example, the Bernoulli experiment is used…
Non-universality for Crossword Puzzle Percolation
Alexander K. Hartmann
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…
Coexistence of asynchronous and clustered dynamics in noisy inhibitory neural networks
Yannick Feld, Alexander K. Hartmann, Alessandro Torcini
A regime of coexistence of asynchronous and clustered dynamics is analyzed for globally coupled homogeneous and heterogeneous inhibitory networks of quadratic integrate-and-fire (Q…
Work Distribution for Unzipping Processes
P. Werner, A. K. Hartmann, S. N. Majumdar
A simple zipper model is introduced, representing in a simplified way, e.g., the folded DNA double helix or hairpin structures in RNA. The double stranded hairpin is connected to a…
Large-deviation analysis of rare resonances for the Many-Body localization transition
Giulio Biroli, Alexander K. Hartmann, Marco Tarzia
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…
Optimized Finite-Time Work Protocols for the Higgs RNA-Model
Peter Werner, Alexander K. Hartmann
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…
Ordering Behavior of the Two-Dimensional Ising Spin Glass with Long-Range Correlated Disorder
L. Münster, C. Norrenbrock, A. P. Young +1
The standard two-dimensional Ising spin glass does not exhibit an ordered phase at finite temperature. Here, we investigate whether long-range correlated bonds change this behavior…
Directed negative-weight percolation
Christoph Norrenbrock, Mitchell M. Mkrtchian, Alexander K. Hartmann
We consider a directed variant of the negative-weight percolation model in a two-dimensional, periodic, square lattice. The problem exhibits edge weights which are taken from a dis…