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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2022 · math.PRShow all

6 papers · 2 filters

math.PR2022

To spike or not to spike: the whims of the Wonham filter in the strong noise regime

Cédric Bernardin, Reda Chhaibi, Joseph Najnudel +1

We study the celebrated Shiryaev-Wonham filter (1964) in its historical setup where the hidden Markov jump process has two states. We are interested in the weak noise regime for th…

math.PR2022★ 3 cited

Branching random walk with non-local competition

Pascal Maillard, Sarah Penington

We study the Bolker-Pacala-Dieckmann-Law (BPDL) model of population dynamics in the regime of large population density. The BPDL model is a particle system in which particles repro…

math.PR2022

Scaling limit of the disordered generalized Poland--Scheraga model for DNA denaturation

Quentin Berger, Alexandre Legrand

The Poland--Scheraga model, introduced in the 1970's, is a reference model to describe the denaturation transition of DNA. More recently, it has been generalized in order to allow…

math.PR2022★ 1 cited

Moment conditions for random coefficient AR() under non-negativity assumptions

Pascal Maillard, Olivier Wintenberger

We consider random coefficient autoregressive models of infinite order (AR()) under the assumption of non-negativity of the coefficients. We develop novel methods yielding…

math.PR2022★ 2 cited

Freeness of type and conditional freeness for random matrices

Guillaume Cébron, Antoine Dahlqvist, Franck Gabriel

The asymptotic freeness of independent unitarily invariant random matrices holds in expectation up to . An already known consequence is the infinitesimal fre…

math.PR2022★ 1 cited

Local limit theorem for complex valued sequences

Lucas Coeuret

In this article, we study the pointwise asymptotic behavior of iterated convolutions on the one dimensional lattice Z. We generalize the so-called local limit theorem in probabilit…