Displaying similar documents to “The Hartree equation for infinite quantum systems”

Invariant measures and long-time behavior for the Benjamin-Ono equation

Yu Deng, Nikolay Tzvetkov, Nicola Visciglia (2014)

Journées Équations aux dérivées partielles

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We summarize the main ideas in a series of papers ([], [], [], []) devoted to the construction of invariant measures and to the long-time behavior of solutions of the periodic Benjamin-Ono equation.

On Gelfond’s conjecture about the sum of digits of prime numbers

Joël Rivat (2009)

Journal de Théorie des Nombres de Bordeaux

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The goal of this paper is to outline the proof of a conjecture of Gelfond [] (1968) in a recent work in collaboration with Christian Mauduit [] concerning the sum of digits of prime numbers, reflecting the lecture given in Edinburgh at the Journées Arithmétiques 2007.

Lefschetz Fibrations and real Lefschetz fibrations

Nermin Salepci (2014)

Winter Braids Lecture Notes

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This note is based on the lectures that I have given during the winter school Winter Braids IV, School on algebraic and topological aspects of braid groups held in Dijon on 10 - 13 February 2014. The aim of series of three lectures was to give an overview of geometrical and topological properties of 4-dimensional Lefschetz fibrations. Meanwhile, I could briefly introduce real Lefschetz fibrations, fibrations which have certain symmetry, and could present some...

The geometry of dimer models

David Cimasoni (2014)

Winter Braids Lecture Notes

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This is an expanded version of a three-hour minicourse given at the winterschool held in Dijon in February 2014. The aim of these lectures was to present some aspects of the dimer model to a geometrically minded audience. We spoke neither of braids nor of knots, but tried to show how several geometric tools that we know and love (e.g. (co)homology, spin structures, real algebraic curves) can be applied to very natural problems in combinatorics and statistical physics. These lecture...

A hybrid classical-quantum approach for ultra-scaled confined nanostructures : modeling and simulation

Naoufel Ben Abdallah, Clément Jourdana, Paola Pietra, Nicolas Vauchelet (2012)

ESAIM: Proceedings

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We propose a hybrid classical-quantum model to study the motion of electrons in ultra-scaled confined nanostructures. The transport of charged particles, considered as one dimensional, is described by a quantum effective mass model in the active zone coupled directly to a drift-diffusion problem in the rest of the device. We explain how this hybrid model takes into account the peculiarities due to the strong confinement and we present numerical simulations for a simplified carbon nanotube. ...

Gibbs-Markov-Young structures, ,

Carla L. Dias (2012)

ESAIM: Proceedings

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We discuss the geometric structures defined by Young in [9, 10], which are used to prove the existence of an ergodic absolutely continuous invariant probability measure and to study the decay of correlations in expanding or hyperbolic systems on large parts.