Vangelis Th. PASCHOS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Directeur de thèse Bruno ESCOFFIER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Co-Directeur de thèse Éric ANGEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

We solve analytically the energy eigenvalue problem of narrow semiconductor quantum rings with a general spin-orbit term that includes as special case Rashba and Dresselhaus interactions acting simultaneously. The eigenstates eigenenergies system are found for arbitrary values coupling constants without making use approximations. expressed products scalar Mathieu function spinor factor which is...

The Mathieu partial differential equation (PDE) is analyzed as a prototypical model for pattern formation due to parametric resonance. After averaging and scaling, it is shown to be a perturbed nonlinear Schrödinger equation (NLS). Adiabatic perturbation theory for solitons is applied to determine which solitons of the NLS survive the perturbation due to damping and parametric forcing. Numerica...

A series scheme is discussed for the determination of the normalization constants of the even and odd Mathieu-Gauss (MG) optical beams. We apply a suitable expansion in terms of Bessel-Gauss (BG) beams and also answer the question of how many BG beams should be used to synthesize a MG beam within a tolerance. The structure of the normalization factors ensures that MG beams will always be normal...

First Person is a series of interviews with the first authors of a selection of papers published in Journal of Cell Science, helping early-career researchers promote themselves alongside their papers. Brandy Hyndman and Mathieu Crupi are co-first authors on 'Differential recruitment of E3 ubiquitin ligase complexes regulates RET isoform internalization', published in Journal of Cell Science. Br...

Introduction Although the Mathieu groups are probably best known today as the first instances of the sporadic simple groups, Mathieu's discovery of them arose rather from his search for highly transitive permutation groups; only later were the Mathieu groups shown to be simple. In modern mathematics, the Mathieu groups are studied chiefly in conjunction with sphere packing and error-correcting ...

The sporadic Mathieu group M12 can be viewed as an errorcorrecting code, where the codewords are the group’s elements written as permutations in list form, and with the usual Hamming distance. We investigate the properties of this group as a code, in particular determining completely the probabilities of successful and ambiguous decoding of words with more than 3 errors (which is the number tha...

let $g$ be a finite group‎. ‎we say that $g$ has emph{spread} r if for any set of distinct non-trivial elements of $g$ $x:={x_1,ldots‎, ‎x_r}subset g^{#}$ there exists an element $yin g$ with the property that $langle x_i,yrangle=g$ for every $1leq ileq r$‎. ‎we say $g$ has emph{exact spread} $r$ if $g$ has spread $r$ but not $r+1$‎. ‎the spreads of finite simple groups and their decorations ha...