Saint Aubin, Yvan

- Professeur titulaire
-
Faculté des arts et des sciences - Département de mathématiques et de statistique
André-Aisenstadt Local 5237
Courriels
Expertise
- Théorie de la représentation
- Physique statistique
- Simulations Monte-Carlo
- Théorie conforme des champs
- Algèbre de Virasoro
- Modèles sur réseau
- Transition de phase
- Algèbre de Temperley-Lieb
- Phénomènes critiques
Encadrement Tout déplier Tout replier
Abstract
Abstract
Projets de recherche Tout déplier Tout replier
Construction de champs de droites normales aux objets transparents minces par transmission MITACS Inc. / 2020 - 2021
Bourse ivado données raconter 2020 SPIIE/Secrétariat des programmes interorganismes à lintention des établissements / 2020 - 2020
Algebraic methods for lattice models of statistical physics CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2019 - 2025
Centre de recherches mathematiques (crm) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2015 - 2022
From finite lattice models to continuum field theories CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2014 - 2021
From finite lattice models to continuum field theories CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2014 - 2020
Upgrade of workstations at centre de recherches mathematiques CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2010 - 2010
Exploring critical phenomena with tools from lattice models, cft and sle CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2009 - 2013
Centre de recherches mathematiques (crm) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2008 - 2016
Mise à jour des laboratoires de mathématiques CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2008 - 2008
Exploring critical phenomena with tools from lattice models, cft and sle CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2004 - 2015
Publications choisies Tout déplier Tout replier
Jordan cells of periodic loop models
A homomorphism between link and XXZ modules over the periodic Temperley-Lieb algebra
Geometric exponents of dilute loop models
Crossing probabilities on same-spin clusters in the two-dimensional Ising model
The Jordan structure of two-dimensional loop models
Restricted partition functions of the two-dimensional Ising model on a half-infinite cylinder
Geometric exponents, SLE and logarithmic minimal models
On the spectrum of an $n!\times n!$ matrix originating from statistical mechanics
Mathematics and technology
Mathématiques et technologie
Non-unitary observables in the 2d critical Ising model
Boundary states for a free boson defined on finite geometries
Crossing probabilities on same-spin clusters in the two-dimensional Ising model
Universality and conformal invariance for the Ising model in domains with boundary
Conformal invariance of a model of percolation on random lattices
Fusion and the Neveu-Schwarz singular vectors
Conformal invariance in two-dimensional percolation
On the universality of crossing probabilities in two-dimensional percolation
An explicit formula for some singular vectors of the Neveu-Schwarz algebra
Singular vectors of the Neveu-Schwarz algebra
The exchange algebra for Zamolodchikov and Fateev's parafermionic theories
The hidden symmetry of ${\rm U}(n)$ principal $\sigma$ models revisited. II. The algebraic structure
The hidden symmetry of ${\rm U}(n)$ principal $\sigma$ models revisited. I. Explicit expressions for the generators
Degenerate conformal field theories and explicit expressions for some null vectors
Collapse and exponentiation of infinite symmetry algebras of Euclidean projective and Grassmannian $\sigma$ models
${\rm SL}(n+1,{\bf C})$ strata and orbits in the solution space of Euclidean ${\bf C}{\rm P}^n$ models
Soliton solutions to various $\sigma$ models with a Wess-Zumino term
Infinite-dimensional Lie algebras acting on the solution space of various $\sigma$ models
Quadratic pseudopotentials for ${\rm Gl}(N,\,{\bf C})$ principal sigma models
The soliton correlation matrix and the reduction problem for integrable systems
Superposition of solutions to Bäcklund transformations for the ${\rm SU}(n)$ principal $\sigma$-model
Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces
Harmonic polynomials invariant under a finite subgroup of ${\rm O}(n)$
Bäcklund transformations and soliton-type solutions for $\sigma$ models with values in real Grassmannian spaces
Matter-coupled Yang-Mills system in Minkowski space. II. Invariant solutions in the presence of Dirac spinor fields
Fonctions génératrices et bases d'intégrité pour les sous-groupes finis du groupe de Lorentz ${\rm O}(3,\,1)$
Finite subgroups of the generalized Lorentz groups ${\rm O}(p,\,q)$