Add to ORKGThese lecture notes provide a (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present the theory of discrete holomorphic functions and its applications to planar statistical physics (more precisely to the convergence of fermionic observables). Convergence to SLE is discussed briefly. Many open questions are included
Président: Robert P. LANGLANDS Rapporteurs Yves COLIN de VERDIERE, Marcus SLUPINSKI, Jean-Bernard ZU...
The critical phases of two dimensional lattice models are widely believed to be described by conform...
This thesis investigates different aspects of conformal field theory and string theory and their appl...
These lecture notes provide an (almost) self-contained account on conformal invariance of the planar...
We construct discrete holomorphic observables in the Ising model at criticality and show that they h...
This volume is based on the PhD thesis of the author. Through the examples of the self-avoiding walk...
Abstract. We prove that crossing probabilities for the critical planar Ising model with free boundar...
We prove that crossing probabilities for the critical planar Ising model with free boundary conditio...
A number of two-dimensional models in statistical physics are conjectured to have scaling limits at ...
Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling l...
In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at cr...
Abstract. We study the 2-dimensional Ising model at critical temperature on a smooth simply-connecte...
Abstract It is widely believed that the celebrated 2D Ising model at criti-cality has a universal an...
Many 2D critical lattice models are believed to have conformally invariant scal-ing limits. This bel...
This thesis is dedicated to the study of the conformal invariance and the universality of the dimer ...
Président: Robert P. LANGLANDS Rapporteurs Yves COLIN de VERDIERE, Marcus SLUPINSKI, Jean-Bernard ZU...
The critical phases of two dimensional lattice models are widely believed to be described by conform...
This thesis investigates different aspects of conformal field theory and string theory and their appl...
These lecture notes provide an (almost) self-contained account on conformal invariance of the planar...
We construct discrete holomorphic observables in the Ising model at criticality and show that they h...
This volume is based on the PhD thesis of the author. Through the examples of the self-avoiding walk...
Abstract. We prove that crossing probabilities for the critical planar Ising model with free boundar...
We prove that crossing probabilities for the critical planar Ising model with free boundary conditio...
A number of two-dimensional models in statistical physics are conjectured to have scaling limits at ...
Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling l...
In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at cr...
Abstract. We study the 2-dimensional Ising model at critical temperature on a smooth simply-connecte...
Abstract It is widely believed that the celebrated 2D Ising model at criti-cality has a universal an...
Many 2D critical lattice models are believed to have conformally invariant scal-ing limits. This bel...
This thesis is dedicated to the study of the conformal invariance and the universality of the dimer ...
Président: Robert P. LANGLANDS Rapporteurs Yves COLIN de VERDIERE, Marcus SLUPINSKI, Jean-Bernard ZU...
The critical phases of two dimensional lattice models are widely believed to be described by conform...
This thesis investigates different aspects of conformal field theory and string theory and their appl...