m

F Nous contacter

0

Documents  den Hollander, Frank | enregistrements trouvés : 5

O
     

-A +A

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Outreach;Mathematics Education and Popularization of Mathematics

Frank den Hollander is Prof. dr. at Mathematical Institute, Leiden University, The Netherlands. From 2 to 6 June 2014, Prof. dr. Frank den Hollander has provided 2 lectures during the workshop ‘Recent Models in Random Media’ at the CIRM. During his visit, Prof. den Hollander was interviewed about his own mathematical research, the theme of the workshop and his lectures and about the state of mathematics in the Netherlands.

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- xiii; 258 p.
ISBN 978-3-642-00332-5

Lecture notes in mathematics , 1974

Localisation : Collection 1er étage

processus aléatoire # grande déviation # transition de phase # phénomène critique # échelle espace-temps # polymers

60K35 ; 60F10 ; 60K37 ; 82B26 ; 82B27

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Probability and Statistics

We study an undirected polymer chain living on the one-dimensional integer lattice and carrying i.i.d. random charges. Each self-intersection of the polymer chain contributes an energy to the interaction Hamiltonian that is equal to the product of the charges of the two monomers that meet. The joint probability distribution for the polymer chain and the charges is given by the Gibbs distribution associated with the interaction Hamiltonian. We analyze the annealed free energy per monomer in the limit as the length of the polymer chain tends to infinity. We derive a spectral representation for the free energy and use this to show that there is a critical curve in the (charge bias, inverse temperature)-plane separating a ballistic phase from a subballistic phase. We show that the phase transition is first order, identify the scaling behaviour of the critical curve for small and for large charge bias, and also identify the scaling behaviour of the free energy for small charge bias and small inverse temperature. In addition, we prove a large deviation principle for the joint law of the empirical speed and the empirical charge, and derive a spectral representation for the associated rate function. This in turn leads to a law of large numbers and a central limit theorem. What happens for the quenched free energy per monomer remains open. We state two modest results and raise a few questions. Joint work with F. Caravenna, N. Petrelis and J. Poisat We study an undirected polymer chain living on the one-dimensional integer lattice and carrying i.i.d. random charges. Each self-intersection of the polymer chain contributes an energy to the interaction Hamiltonian that is equal to the product of the charges of the two monomers that meet. The joint probability distribution for the polymer chain and the charges is given by the Gibbs distribution associated with the interaction Hamiltonian. We ...

82D60 ; 60K37 ; 60K35

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- xxi; 581 p.
ISBN 978-3-319-24775-5

Grundlehren der mathematischen wissenschaften , 0351

Localisation : Collection 1er étage

distribution # processus de Markov # théorie du potentiel # diffusion #équation différentielle stochastique # physique statistique # système de treillis

60K35 ; 60J45 ; 82C26 ; 60-02 ; 60Jxx

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- 143 p.
ISBN 978-0-8218-1989-0

Fields institute monographs , 0014

Localisation : Collection 1er étage

mécanique statistique # probabilité # grande déviation # test d'hypothèse # propagation de chaleur # polymère # diffusion # processus aléatoire intéragissant # système désordonné # séquence de Markov # théorème de Cramer et Sanov # lemme de Varadhan # marche aléatoire # conduction de chaleur

60-01 ; 60F10 ; 60K35 ; 82B31 ; 82B44

... Lire [+]

Z