Bianca Cerchiai, Peter Schupp (1997)
Banach Center Publications
The Hamiltonian for an extended Hubbard model with phonons as introduced by A. Montorsi and M. Rasetti is considered on a D-dimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting holds as a true quantum symmetry, but only for D=1.
Sylvia Serfaty (2014)
Journées Équations aux dérivées partielles
Systems with Coulomb and logarithmic interactions arise in various settings: an instance is the classical Coulomb gas which in some cases happens to be a random matrix ensemble, another is vortices in the Ginzburg-Landau model of superconductivity, where one observes in certain regimes the emergence of densely packed point vortices forming perfect triangular lattice patterns named Abrikosov lattices, a third is the study of Fekete points which arise in approximation theory. In this review, we describe...
Grigorescu, Ilie, Kang, Min (2006)
Electronic Journal of Probability [electronic only]
Daniel Boivin (2009)
ESAIM: Probability and Statistics
Consider a random environment in given by i.i.d. conductances. In this work, we obtain tail estimates for the fluctuations about the mean for the following characteristics of the environment: the effective conductance between opposite faces of a cube, the diffusion matrices of periodized environments and the spectral gap of the random walk in a finite cube.
Martin Macháček (1982)
Pokroky matematiky, fyziky a astronomie
Martin Janžura (1989)
Kybernetika
И.Г. Корепанов (1994)
Zapiski naucnych seminarov POMI
Lascoux, Alain (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Bovier, Anton, Klimovsky, Anton (2009)
Electronic Journal of Probability [electronic only]
Dragović, Vladimir (1994)
Publications de l'Institut Mathématique. Nouvelle Série
N. Enriquez, C. Lucas, F. Simenhaus (2010)
Annales de l'I.H.P. Probabilités et statistiques
We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a brownian motion which turns out to be a new interpretation of the Arcsine law.
P. M. Bleher (1991)
Annales de l'I.H.P. Physique théorique
Leif Arkeryd (1989)
Journées équations aux dérivées partielles
Wolfgang Dreyer, Wolf Weiss (1986)
Annales de l'I.H.P. Physique théorique
Thorsten Rohwedder (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Nowadays, the Coupled Cluster (CC) method is the probably most widely used high precision method for the solution of the main equation of electronic structure calculation, the stationary electronic Schrödinger equation. Traditionally, the equations of CC are formulated as a nonlinear approximation of a Galerkin solution of the electronic Schrödinger equation, i.e. within a given discrete subspace. Unfortunately, this concept prohibits the direct application of concepts of nonlinear numerical analysis...
Francesco Caravenna, Philippe Carmona, Nicolas Pétrélis (2012)
Annales de l'I.H.P. Probabilités et statistiques
We consider a discrete-time version of the parabolic Anderson model. This may be described as a model for a directed -dimensional polymer interacting with a random potential, which is constant in the deterministic direction and i.i.d. in the orthogonal directions. The potential at each site is a positive random variable with a polynomial tail at infinity. We show that, as the size of the system diverges, the polymer extremity is localized almost surely at one single point which grows ballistically....
Nobuo Yoshida (2001)
Annales de l'I.H.P. Probabilités et statistiques
Caragiu, Mihai, Caragiu, Mellita (1997)
International Journal of Mathematics and Mathematical Sciences
G. Toscani (1998)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Hara, Takashi, Slade, Gordon (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]