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11 papers · 1 filter
A mathematical model for the Fermi weak interactions
Laurent Amour, Benoit Grebert, Jean-Claude Guillot
We consider a mathematical model of the Fermi theory of weak interactions as patterned according to the well-known current-current coupling of quantum electrodynamics. We focuss on…
Cycles of free words in several independent random permutations with restricted cycle lengths
Florent Benaych-Georges
In this text, we consider random permutations which can be written as free words in several independent random permutations: firstly, we fix a non trivial word in letters $g_1,…
Seismic motion in urban sites consisting of blocks in welded contact with a soft layer overlying a hard half space: II. large and infinite number of identical equispaced blocks
Armand Wirgin, Jean-Philippe Groby
We address the problem of the response to a seismic wave of an urban site consisting of a large and infinite number () of identical, equispaced blocks overlying a soft laye…
Optimal Estimates for the Electric Field in Two-Dimensions
H. Ammari, H. Kang, H. Lee +2
The purpose of this paper is to set out optimal gradient estimates for solutions to the isotropic conductivity problem in the presence of adjacent conductivity inclusions as the di…
Asymptotic Analysis of High-Contrast Phononic Crystals and a Criterion for the Band-Gap Opening
H. Ammari, H. Kang, H. Lee
We investigate the band-gap structure of the frequency spectrum for elastic waves in a high-contrast, two-component periodic elastic medium. We consider two-dimensional phononic cr…
Seismic motion in urban sites consisting of blocks in welded contact with a soft layer overlying a hard half space: I. Finite set of blocks
Jean-Philippe Groby, Armand Wirgin
We address the problem of the response to a seismic wave of an urban site consisting of non-identical, non-equispaced blocks overlying a soft layer underlain by a hard substrat…