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cond-mat.stat-mech2026
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…
math.PR2026
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 …