20 citations · 79 across the 16 of their papers we have counts for
16 papers
Longest weakly increasing subsequences of discrete random walks on the integers with heavy tailed distribution of increments
José Ricardo G. Mendonça, Marcelo V. Freire
We investigate the behavior of the length of the longest weakly increasing subsequences (weak LIS) of -step random walks with nonzero integer increments $k = \pm 1, \pm 2, \dots…
On the Golomb-Dickman constant under Ewens sampling
José Ricardo G. Mendonça, Luis Jehiel Negret
We define a generalized Golomb--Dickman constant as the limiting expected proportion of the longest cycle in random permutations under the Ewens measure with parameter …
A numerical investigation into the scaling behavior of the longest increasing subsequences of the symmetric ultra-fat tailed random walk
J. Ricardo G. Mendonça
The longest increasing subsequence (LIS) of a sequence of correlated random variables is a basic quantity with potential applications that has started to receive proper attention o…
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…
Simply modified GKL density classifiers that reach consensus faster
J. Ricardo G. Mendonça
The two-state Gacs-Kurdyumov-Levin (GKL) cellular automaton has been a staple model in the study of complex systems due to its ability to classify binary arrays of symbols accordin…
Electromagnetic surface wave propagation in a metallic wire and the Lambert function
J. Ricardo G. Mendonça
We revisit the solution due to Sommerfeld of a problem in classical electrodynamics, namely, that of the propagation of an electromagnetic axially symmetric surface wave (a low-att…