69 citations · 428 across the 32 of their papers we have counts for
6 papers · 1 filter
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…
Probing the large deviations of the Kardar-Parisi-Zhang equation at short time with an importance sampling of directed polymers in random media
Alexander K. Hartmann, Alexandre Krajenbrink, Pierre Le Doussal
The one-point distribution of the height for the continuum Kardar-Parisi-Zhang (KPZ) equation is determined numerically using the mapping to the directed polymer in a random potent…
Rare-Event Properties of the Nagel-Schreckenberg Model
Wiebke Staffeldt, Alexander K. Hartmann
We have studied the distribution of traffic flow for the Nagel-Schreckenberg model by computer simulations. We applied a large-deviation approach, which allowed us to obtain th…
Optimal paths of non-equilibrium stochastic fields: the Kardar-Parisi-Zhang interface as a test case
Alexander K. Hartmann, Baruch Meerson, Pavel Sasorov
Atypically large fluctuations in macroscopic non-equilibrium systems continue to attract interest. Their probability can often be determined by the optimal fluctuation method (OFM)…
Percolation of Fortuin-Kasteleyn clusters for the random-bond Ising model
Hauke Fajen, Alexander K. Hartmann, A. Peter Young
We apply generalisations of the Swendson-Wang and Wolff cluster algorithms, which are based on the construction of Fortuin-Kasteleyn clusters, to the three-dimensional rand…
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…