Olivier Roques

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We consider in this paper the class M k n of generalized Motzkin paths of length n, that is, lattice paths using steps (1,1), (1,−1), (k,0), where k is a fixed positive integer, starting at the origin (0,0), running above the x-axis, and ending at (n,0). The area is the region bounded by the path and the x-axis. We first establish a bijection between the(More)
In this paper, we give a semi-algorithm to sample uniformly at random from the Fibonacci language L = + La + Lbb. It needs a uniform bit generator and the average complexity is linear. We show that we can transform this semi-algorithm to a true algorithm still with a linear complexity. Finally, we discuss a generalization to a class of regular languages. R(More)
Pneumocystis pneumonia (PCP) in solid organ transplant (SOT) recipients becomes rare in the immediate posttransplantation period thanks to generalized prophylaxis. We aimed to identify the predictive factors for PCP in the era of universal prophylaxis and to propose a strategy for preventing PCP beyond the first year after transplantation. In a(More)
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