498 citations
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6 papers · 1 filter
A numerical approach to copolymers at selective interfaces
F. Caravenna, G. Giacomin, M. Gubinelli
We consider a model of a random copolymer at a selective interface which undergoes a localization/delocalization transition. In spite of the several rigorous results available for…
Dynamique des nombres et physique des oscillateurs
Jacky Cresson
We consider the superheterodyning system discovered by Armstrong and Schottky in 1924. This system is the basic piece of any communication system. We prove that the frequency spect…
Mott transition in lattice boson models
Roberto Fernandez, Juerg Froehlich, Daniel Ueltschi
We use mathematically rigorous perturbation theory to study the transition between the Mott insulator and the conjectured Bose-Einstein condensate in a hard-core Bose-Hubbard model…
Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems
Jean Dolbeault, Patricio Felmer, Michael Loss +1
We prove a Lieb-Thirring type inequality for potentials such that the associated Schrödinger operator has a pure discrete spectrum made of an unbounded sequence of eigenvalues. Thi…
Hjelmslev Geometry of Mutually Unbiased Bases
Metod Saniga, Michel Planat
The basic combinatorial properties of a complete set of mutually unbiased bases (MUBs) of a q-dimensional Hilbert space H\_q, q = p^r with p being a prime and r a positive integer,…
Blow-up results for some second order hyperbolic inequalities with a nonlinear term with respect to the velocity
M. Jazar, R. Kiwan
We give sufficient conditions on the initial data so that a semilinear wave inequality blows-up in finite time. Our method is based on the study of an associated second order diffe…