G. Louchard

activity

20072022

most citedTraffic Light Queues and the Poisson Clumping Heuristic

5 citations · 12 across the 10 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CO2017★ 2 cited

Two applications of polylog functions and Euler sums

Guy Louchard

Let $I (n) := \int_{0}^{1} [x^{n} + (1 - x)^{n}]^{\frac{1}{n}} d x .$ In this paper, we show that $I (n) = \sum_{0}^{\infty} \frac{I _{i}}{n ^{i}}, n \to \infty$ and we compute $I_{i}, i = 0..5$ , obtained by poly…

math.CO2017

The perimeter of uniform and geometric words: a probabilistic analysis

Guy Louchard

Let a word be a sequence of $n$ i.i.d. integer random variables. The perimeter $P$ of the word is the number of edges of the word, seen as a polyomino. In this paper, we present a…

cs.PF2017★ 1 cited

A refined and asymptotic analysis of optimal stopping problems of Bruss and Weber

Guy Louchard

The classical secretary problem has been generalized over the years into several directions. In this paper we confine our interest to those generalizations which have to do with th…