m
• E

F Nous contacter

0

# Documents  60B20 | enregistrements trouvés : 55

O

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## On determinants of random matrices Zeitouni, Ofer | CIRM H

Post-edited

Research talks

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Modern aspects of random matrix theory.Based on lectures delivered at the 2013 AMS short course on random matricesSan Diego # January 6-7, 2013 Vu, Van H. | American Mathematical Society 2014

Congrès

- viii; 174 p.
ISBN 978-0-8218-9471-2

Proceedings of symposia in applied mathematics , 0072

Localisation : Collection 1er étage

matrice aléatoire # théorie des nombres # algèbre linéaire # matrice de Wigner # probabilité libre

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Probability and statistical physics in St. Petersburg.St. Petersburg school on probability and statistical physicsSt. Petersburg # June 18-29, 2012 Sidoravicius, V. ; Smirnov, S. | American Mathematical Society 2016

Congrès

- vi; 471 p.
ISBN 978-1-4704-2248-6

Proceedings of symposia in pure mathematics , 0091

Localisation : Collection 1er étage

probabilités # physique statistique # théorie ergodique # marche aléatoire # chaîne de Markov # modèle de Potts # mesure invariante # champ Gaussien

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## High dimensional probability VI:the Banff volume.Proceedings of the sixth high dimensional probability conference (HDP VI)Banff # october 9-14, 2011 Houdré, Christian ; Mason, David M. ; Rosinski, Jan ; Wellner, Jon A. | Birkhäuser 2013

Congrès

- xi; 373 p.
ISBN 978-3-0348-0489-9

Progress in probability , 0066

Localisation : Colloque 1er étage (BANF)

loi de probabilité # théorème limite # espace de dimension infinie # espace de Hilbert # espace de Banach # matrice aléatoire # statistique non paramétrique # processus empirique # concentration de la mesure # approximation forte # approximation faible # optimisation combinatoire # théorie des graphes aléatoires

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Modern trends in constructive function theory:constructive functions 2014Conference in honor of Ed Saff's 70th birthdayNashville # May 26-30, 2014 Hardin, Douglas P. ; Lubinsky, Doron S. ; Simanek, Brian Z. | American Mathematical Society 2016

Congrès

- ix; 297 p.
ISBN 978-1-4704-2534-0

Contemporary mathematics , 0661

Localisation : Collection 1er étage

Edward B. Saff # théorie de l'approximation # analyse constructive

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Non-linear partial differential equations, mathematical physics, and stochastic analysis:the Hedge Holden anniversary volume.Based on the presentations at the conference 'Non-linear PDEs, mathematical physics and stochastic analysis'Trondheim # July 4-7, 2016 Gesztesy, Fritz ; Hanche-Olsen, Harald ; Jakobsen, Espen R. ; Lyubarskii, Yurii ; Risebro, Nils Henrik ; Seip, Kristian | European Mathematical Society 2018

Congrès

- xvi; 486 p.
ISBN 978-3-03719-186-6

EMS series of congress reports

Localisation : Colloque 1er étage (TRON)

analyse infinitésimale # équation aux dérivées partielles # loi de conservation hyperbolique # analyse stochastique # théorie spectrale # évolution discrète # système complètement intégrable # matrice aléatoire # dynamique chaotique

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Algebraic and geometric aspects of integrable systems and random matrices:Proceedings of the AMS special sessionBoston # january 6-7, 2012 Dzhamay, Anton ; Maruno, Kenichi ; Pierce, Virgil U. | American Mathematical Society 2013

Congrès

- xii; 345 p.
ISBN 978-0-8218-8747-9

Contemporary mathematics , 0593

Localisation : Collection 1er étage

courbe algébrique # équation de Painlevé # équation différentielle # système hamiltonnien # équation différentielle non-linéaire

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mathematical research today and tomorrowviewpoints of seven fields medalistslectures given at the Institut d'Estudis CatalansJune Casacuberta, C. ; Castellet, M. | Springer-Verlag 1992

Congrès

ISBN 978-3-540-56011-1

Lecture notes in mathematics , 1525

Localisation : Collection 1er étage

géométrie diophantienne # géométrie non commutative # informatique théorique # modèle intégrable # noeud en mathématique et en physique # philosophie # équation différentielle non linéaire

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Random perturbation of low-rank matrices Wang, Ke | CIRM H

Multi angle

Research talks

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Universality in tiling models Van Moerbeke, Pierre | CIRM H

Multi angle

Exposés de recherche

We consider the domino tilings of a large class of Aztec rectangles. For an appropriate scaling limit, we show that, the disordered region consists of roughly two arctic circles connected with a finite number of paths. The statistics of these paths is governed by a kernel, also found in other models (universality). The kernel thus obtained is believed to be a master kernel, from which the kernels, associated with critical points, can all be derived. We consider the domino tilings of a large class of Aztec rectangles. For an appropriate scaling limit, we show that, the disordered region consists of roughly two arctic circles connected with a finite number of paths. The statistics of these paths is governed by a kernel, also found in other models (universality). The kernel thus obtained is believed to be a master kernel, from which the kernels, associated with critical points, can all be ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Transfer matrix approach to 1d random band matrices Shcherbina , Tatyana | CIRM H

Multi angle

Exposés de recherche

Random band matrices (RBM) are natural intermediate models to study eigenvalue statistics and quantum propagation in disordered systems, since they interpolate between mean-field type Wigner matrices and random Schrodinger operators. In particular, RBM can be used to model the Anderson metal-insulator phase transition (crossover) even in 1d. In this talk we will discuss some recent progress in application of the supersymmetric method (SUSY) and transfer matrix approach to the analysis of local spectral characteristics of some specific types of 1d RBM. Joint project with Maria Shcherbina. Random band matrices (RBM) are natural intermediate models to study eigenvalue statistics and quantum propagation in disordered systems, since they interpolate between mean-field type Wigner matrices and random Schrodinger operators. In particular, RBM can be used to model the Anderson metal-insulator phase transition (crossover) even in 1d. In this talk we will discuss some recent progress in application of the supersymmetric method ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Majority dynamics on the infinite 3-regular tree Sen, Arnab | CIRM H

Multi angle

Research talks

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## The speed of a second class particle in the ASEP Saenz, Axel | CIRM H

Multi angle

Exposés de recherche

In this talk, we discuss the application of the Yang-Baxter equation for the quantum affine lie algebra $U_{q} \left (\widehat{ {\mathfrak{sl}}_{n+1}} \right )$ to interacting particle systems.
The asymmetric simple exclusion process (ASEP) is a continuous-time Markov process of interacting particles on the integer lattice. We distinguish particles to be either a first class or a second class particle. In particular, the second class particles are blocked in their movement by all other particles, while the first class particles are only blocked by other first class particles. We consider the step initial conditions so that all non-negative integer positions are occupied and all other positions are vacant at time zero. Moreover, we take exactly L second class particles to be located at the very front of the configuration at time zero. Then, using recent results of Tracy-Widom (2017) and Borodin-Wheeler (2018), we compute the asymptotic speed of the leftmost second class particle.
This is joint work with Promit Ghosal (Columbia University) and Ethan Zell (University of Virginia) in arXiv:1903.09615.
In this talk, we discuss the application of the Yang-Baxter equation for the quantum affine lie algebra $U_{q} \left (\widehat{ {\mathfrak{sl}}_{n+1}} \right )$ to interacting particle systems.
The asymmetric simple exclusion process (ASEP) is a continuous-time Markov process of interacting particles on the integer lattice. We distinguish particles to be either a first class or a second class particle. In particular, the second class particles ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Compressive sensing with time-frequency structured random matrices Rauhut, Holger | CIRM H

Multi angle

Special events;30 Years of Wavelets;Analysis and its Applications;Probability and Statistics

One of the important "products" of wavelet theory consists in the insight that it is often beneficial to consider sparsity in signal processing applications. In fact, wavelet compression relies on the fact that wavelet expansions of real-world signals and images are usually sparse. Compressive sensing builds on sparsity and tells us that sparse signals (expansions) can be recovered from incomplete linear measurements (samples) efficiently. This finding triggered an enormous research activity in recent years both in signal processing applications as well as their mathematical foundations. The present talk discusses connections of compressive sensing and time-frequency analysis (the sister of wavelet theory). In particular, we give on overview on recent results on compressive sensing with time-frequency structured random matrices.

Keywords: compressive sensing - time-frequency analysis - wavelets - sparsity - random matrices - $\ell_1$-minimization - radar - wireless communications
One of the important "products" of wavelet theory consists in the insight that it is often beneficial to consider sparsity in signal processing applications. In fact, wavelet compression relies on the fact that wavelet expansions of real-world signals and images are usually sparse. Compressive sensing builds on sparsity and tells us that sparse signals (expansions) can be recovered from incomplete linear measurements (samples) efficiently. This ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Asymptotics of r-to-p norms for random matrices Ramanan, Kavita | CIRM H

Multi angle

Research talks

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Eigenvalue distribution for non linear models of random matrices Péché, Sandrine | CIRM H

Multi angle

Exposés de recherche

The talk concerned with the asymptotic empirical eigenvalue distribution of a non linear random matrix ensemble. More precisely we consider $M= \frac{1}{m} YY^*$ with $Y=f(WX)$ where W and X are random rectangular matrices with i.i.d. centered entries. The function f is applied pointwise and can be seen as an activation function in (random) neural networks. We compute the asymptotic empirical distribution of this ensemble in the case where W and X have subGaussian tails and f is smooth. This extends a result of [PW17] where the case of Gaussian matrices W and X is considered. We also investigate the same questions in the multi-layer case, regarding neural network applications.
The talk concerned with the asymptotic empirical eigenvalue distribution of a non linear random matrix ensemble. More precisely we consider $M= \frac{1}{m} YY^*$ with $Y=f(WX)$ where W and X are random rectangular matrices with i.i.d. centered entries. The function f is applied pointwise and can be seen as an activation function in (random) neural networks. We compute the asymptotic empirical distribution of this ensemble in the case where W ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Estimating graph parameters with random walks Oliveira, Roberto | CIRM H

Multi angle

Research talks

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Eigenvector convergence for minors of unitarily invariant infinite random matrices Najnudel, Joseph | CIRM H

Multi angle

Exposés de recherche

We give a new expression for the law of the eigenvalues of the discrete Anderson model on the finite interval [0, N], in terms of two random processes starting at both ends of the interval. Using this formula, we deduce that the tail of the eigenvectors behaves approximately like exponential of a Brownian motion with a drift. A similar result has recently been shown by B. Rifkind and B. Virag in the critical case, that is, when the random potential is multiplied by a factor 1/ √N. We give a new expression for the law of the eigenvalues of the discrete Anderson model on the finite interval [0, N], in terms of two random processes starting at both ends of the interval. Using this formula, we deduce that the tail of the eigenvectors behaves approximately like exponential of a Brownian motion with a drift. A similar result has recently been shown by B. Rifkind and B. Virag in the critical case, that is, when the random ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Correlation functions for some integrable systems with random initial data, theory and computation - Lecture 2 McLaughlin, Kenneth D. T.-R. | CIRM H

Multi angle

Research School

We will investigate the form of spatio-temporal correlation functions for integrable models of systems of particles on the line. There are few analytical results for nonlinear systems, and so we start developing intuition from harmonic chains, where steepest descent analysis yields detailed asymptotic behaviour of the correlation functions in a variety of scaling limits. We will introduce integrable nonlinear lattices, explain the integrable solution procedure, as well as computational simulations to see dynamics of correlation functions in action. We will investigate the form of spatio-temporal correlation functions for integrable models of systems of particles on the line. There are few analytical results for nonlinear systems, and so we start developing intuition from harmonic chains, where steepest descent analysis yields detailed asymptotic behaviour of the correlation functions in a variety of scaling limits. We will introduce integrable nonlinear lattices, explain the integrable ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## A statistical physics approach to the sine beta process Maïda, Mylène | CIRM H

Multi angle

Exposés de recherche

The universality properties of the Sine process (corresponding to inverse temperature beta equal to 2) are now well known. More generally, a family of point processes have been introduced by Valko and Virag and shown to be the bulk limit of Gaussian beta ensembles, for any positive beta. They are defined through a one-parameter family of SDEs coupled by a two-dimensional Brownian motion (or more recently as the spectrum of a random operator). Through these descriptions, some properties have been derived by Holcomb, Paquette, Valko, Virag and others but there is still much to understand.
In a work with David Dereudre, Adrien Hardy (Université de Lille) and Thomas Leblé (Courant Institute, New York), we use tools from classical statistical mechanics based on DLR equations to give a completely different description of the Sine beta process and derive some properties, such as rigidity and tolerance.
The universality properties of the Sine process (corresponding to inverse temperature beta equal to 2) are now well known. More generally, a family of point processes have been introduced by Valko and Virag and shown to be the bulk limit of Gaussian beta ensembles, for any positive beta. They are defined through a one-parameter family of SDEs coupled by a two-dimensional Brownian motion (or more recently as the spectrum of a random operator). ...

#### Filtrer

##### Codes MSC

Ressources Electroniques (Depuis le CIRM)

Books & Print journals

Recherche avancée

0
Z