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- Nathanaël Enriquez, Christophe Sabot, OLIVIER ZINDY
- 2007

We consider transient random walks in random environment on Z with zero asymptotic speed. A classical result of Kesten, Kozlov and Spitzer says that the hitting time of the level n converges in law,… (More)

- Annick Rousseau, Christophe Sabot, +4 authors Pierre Marquet
- Clinical pharmacokinetics
- 2002

BACKGROUND
Methotrexate is the most efficient anticancer drug in osteosarcoma. It requires individual exposure monitoring because of the high doses used, its wide interpatient pharmacokinetic… (More)

- Nathanaël Enriquez, Christophe Sabot, OLIVIER ZINDY
- 2007

The aims of this paper are twofold. Firstly, we derive some probabilistic representation for the constant which appears in the one-dimensional case of Kesten's renewal theorem. Secondly, we estimate… (More)

Edge-reinforced random walk (ERRW), introduced by Coppersmith and Diaconis in 1986 [5], is a random process that takes values in the vertex set of a graph G, which is more likely to cross edges it… (More)

- Christophe Sabot
- 2004

We consider random walks in a random environment of the type p0 + γξz, where p0 denotes the transition probabilities of a stationary random walk on Z, to nearest neighbors, and ξz is an i.i.d. random… (More)

- Christophe Sabot
- 2004

The first part of this paper deals with electrical networks and symplectic reductions. We consider two operations on electrical networks (the “trace map” and the “gluing map”) and show that they… (More)

A new model of quantum random walks is introduced, on lattices as well as on finite graphs. These quantum random walks take into account the behavior of open quantum systems. They are the exact… (More)

We consider random walks in a random environment given by i.i.d. Dirichlet distributions at each vertex of Zd or, equivalently, oriented edge reinforced random walks on Zd . The parameters of the… (More)

- Nathanaël Enriquez, Christophe Sabot, OLIVIER ZINDY
- 2009

We consider transient one-dimensional random walks in a random environment with zero asymptotic speed. An aging phenomenon involving the generalized Arcsine law is proved using the localization of… (More)

- Nathanaël Enriquez, Christophe Sabot, Laurent Tournier, OLIVIER ZINDY
- 2010

We consider transient random walks in random environment on Z in the positive speed (ballistic) and critical zero speed regimes. A classical result of Kesten, Kozlov and Spitzer proves that the… (More)