m

F Nous contacter

0

Documents  Gantert, Nina | enregistrements trouvés : 7

O
     

-A +A

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research schools

We give some results about tree-indexed random walks aka branching random walks. In particular, we investigate the growth of the maximum of such a walk.
Based on joint work with Piotr Dyszewski and Thomas Hofelsauer.

60G50 ; 60J10 ; 60J80

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Combinatorics;Mathematical Physics;Probability and Statistics

In the first half of the talk, I will survey results and open problems on transience of self-interacting martingales. In particular, I will describe joint works with S. Popov, P. Sousi, R. Eldan and F. Nazarov on the tradeoff between the ambient dimension and the number of different step distributions needed to obtain a recurrent process. In the second, unrelated, half of the talk, I will present joint work with Tom Hutchcroft, showing that the component structure of the uniform spanning forest in $\mathbb{Z}^d$ changes every dimension for $d > 8$. This sharpens an earlier result of Benjamini, Kesten, Schramm and the speaker (Annals Math 2004), where we established a phase transition every four dimensions. The proofs are based on a the connection to loop-erased random walks. In the first half of the talk, I will survey results and open problems on transience of self-interacting martingales. In particular, I will describe joint works with S. Popov, P. Sousi, R. Eldan and F. Nazarov on the tradeoff between the ambient dimension and the number of different step distributions needed to obtain a recurrent process. In the second, unrelated, half of the talk, I will present joint work with Tom Hutchcroft, showing that the ...

05C05 ; 05C80 ; 60G50 ; 60J10 ; 60K35 ; 82B43

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Probability and Statistics

We consider a model for a growing subset of a euclidean lattice (an "aggregate") where at each step one choose a random point from the existing aggregate, starts a random walk from that point, and adds the point of exit to the aggregate. We show that the limiting shape is a ball. Joint work with Itai Benjamini, Hugo Duminil-Copin and Cyril Lucas.

60G50 ; 60J60 ; 60K35

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Mathematical Physics;Probability and Statistics

This talk will introduce two statistical mechanics models on the lattice. The spins in these models have a hyperbolic symmetry. Correlations for these models can be expressed in terms of a random walk in a highly correlated random environment. In the SUSY hyperbolic case these walks are closely related to the vertex reinforced jump process and to the edge reinforced random walk. (Joint work with M. Disertori and M. Zirnbauer.)

60K37 ; 60G50 ; 60K35 ; 60J75 ; 81T25 ; 81T60

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Probability and Statistics

In recent years, interest in time changes of stochastic processes according to irregular measures has arisen from various sources. Fundamental examples of such time-changed processes include the so-called Fontes-Isopi-Newman (FIN) diffusion and fractional kinetics (FK) processes, the introduction of which were partly motivated by the study of the localization and aging properties of physical spin systems, and the two- dimensional Liouville Brownian motion, which is the diffusion naturally associated with planar Liouville quantum gravity.
This FIN diffusions and FK processes are known to be the scaling limits of the Bouchaud trap models, and the two-dimensional Liouville Brownian motion is conjectured to be the scaling limit of simple random walks on random planar maps.
In the first part of my talk, I will provide a general framework for studying such time changed processes and their discrete approximations in the case when the underlying stochastic process is strongly recurrent, in the sense that it can be described by a resistance form, as introduced by J. Kigami. In particular, this includes the case of Brownian motion on tree-like spaces and low-dimensional self-similar fractals.
In the second part of my talk, I will discuss heat kernel estimates for (generalized) FIN diffusions and FK processes on metric measure spaces.
This talk is based on joint works with D. Croydon (Warwick) and B.M. Hambly (Oxford) and with Z.-Q. Chen (Seattle), P. Kim (Seoul) and J. Wang (Fuzhou).
In recent years, interest in time changes of stochastic processes according to irregular measures has arisen from various sources. Fundamental examples of such time-changed processes include the so-called Fontes-Isopi-Newman (FIN) diffusion and fractional kinetics (FK) processes, the introduction of which were partly motivated by the study of the localization and aging properties of physical spin systems, and the two- dimensional Liouville ...

60J35 ; 60J55 ; 60J10 ; 60J45 ; 60K37

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- 133 p.
ISBN 978-2-85629-127-6

Panoramas et synthèses , 0012

Localisation : Collection 1er étage

milieux aléatoire # propagation d'onde # mouvement brownien # obstacle poissonnien # marche aléatoire # diffusion dans un potentiel aléatoire # homogénéisation stochastique # système de particule en intéraction

82D30 ; 60F10 ; 82C44 ; 60K37

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- 93 p.

Bonner mathematische schriften , 0224

Localisation : Publication 1er étage

grande déviation # mouvement brownien # entropie relative spécifique # variation quadratique # mesure de Wiener # mesure de Gibbs # processus de Ornstein-Uhlenback

60F10 ; 60J65

... Lire [+]

Z