# INSTITUT DE MATHEMATIQUES DE BOURGOGNE

UMR 5584

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## Articles syndiqués

• ### [hal-01525384] From Fredholm and Wronskian representations to rational solutions to the KPI equation depending on 2N − 2 parameters, the structure of the solutions and the case of fourth order

22 mai, par P Gaillard
We have already constructed solutions to the Kadomtsev-Petviashvili equation (KPI) in terms of Fredholm determinants and wronskians of order 2N. These solutions have been called solutions of order N and they depend on 2N − 1 parameters. We construct here N-order rational solutions. We prove that (...)
• ### [hal-01524814] Exact simulation of the first-passage time of diffusions

19 mai, par Samuel Herrmann, Cristina Zucca
Since diffusion processes arise in so many different fields, efficient tech-nics for the simulation of sample paths, like discretization schemes, represent crucial tools in applied probability. Such methods permit to obtain approximations of the first-passage times as a by-product. For (...)
• ### [hal-01522437] Poly-freeness of even Artin groups of FC type

16 mai, par Ruben Blasco-Garcia, Conchita Martinez-Perez, Luis Paris
We prove that even Artin groups of FC type are poly-free and residually finite.
• ### [hal-01442880] Sub-Riemannian geometry and swimming at low Reynolds number : the Copepod case

25 avril, par Piernicola Bettiol, Bernard Bonnard, Alice Nolot, Jérémy Rouot
Based on copepod observations, Takagi proposed a model to interpret the swimming behavior of these microorganisms using sinusoidal paddling or sequential paddling followed by a recovery stroke in unison, and compares them invoking the concept of efficiency. Our aim is to provide an (...)
• ### [hal-01507551] $\mathbb{A}^2$ -Fibrations between affine spaces are trivial $\mathbb{A}^2$-bundles

We give a criterion for a flat fibration with affine plane fibers over a smooth scheme defined over a field of characteristic zero to be a Zariski locally trivial $\mathbbA^2$-bundle. An application is a positive answer to a version of the Dolgachev-Weisfeiler Conjecture for such fibrations: a (...)