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20042009
most citedAn example of Brunet-Derrida behavior for a branching-selection particle system on

6 citations

Showing 2007Show all

12 papers · 1 filter

math.PR20072 cited

Central limit theorem for sampled sums of dependent random variables

Nadine Guillotin-Plantard, Clémentine Prieur

We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $…

math-ph2007

Statistical properties of Pauli matrices going through noisy channels

Stéphane Attal, Nadine Guillotin-Plantard

We study the statistical properties of the triplet of Pauli matrices going through a sequence of noisy channels, modeled by the repetition of a general, trace-prese…

math-ph2007

Repeated Quantum Interactions and Unitary Random Walks

Stéphane Attal, Ameur Dhahri

Among the discrete evolution equations describing a quantum system $\rH_S$ undergoing repeated quantum interactions with a chain of exterior systems, we study and characterize thos…

math.HO20072 cited

A polynomial parametrization of torus knots

Pierre-Vincent Koseleff, Daniel Pecker

For every odd integer we give an explicit construction of a polynomial curve $\cC(t) = (x(t), y (t))$, where , $°y = N + 1 + 2\pent N4$ that has exactly crossing po…

math.CO2007

Irrationalité aux entiers impairs positifs d'un q-analogue de la fonction zeta de Riemann

Frederic Jouhet, Elie Mosaki

In this paper, we focus on a q-analogue of the Riemann zeta function at positive integers, which can be written for s\in\N^* by ζ_q(s)=\sum_{k\geq 1}q^k\sum_{d|k}d^{s-1}. We give a…

math-ph2007

-uniqueness of Schrödinger operators restricted in an open domain

Ludovic Dan Lemle

Consider the Schrödinger operator acting on space , where is an open domain in . The main purpose of this paper is to present the $…