60 citations · 366 across the 26 of their papers we have counts for
3 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…
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…