We prove that a random distribution in two dimensions which is conformally invariant and satisfies a natural domain Markov property is a multiple of the Gaussian free field. This result holds subject only to a fourth moment assumption
In the present paper, we show that on a compact Riemannian manifold $(M,g)$ of dimension $d\leqslant...
In this paper we study the properties of the centered (norm of the) gradient squared of the discrete...
In this thesis we construct the probabilistic Liouville field theory on the two-dimensional sphere. ...
We prove that a random distribution in two dimensions which is conformally invariant and satisfies a...
We show that there is “no stable free field of index α ∈ ( 1 , 2 ) ”, in the following sens...
We study branching diffusions in a bounded domain D of Rd in which particles are killed upon hitt...
This thesis studies the geometry of objects from 2-dimensional statistical physics in the continuum....
AbstractTo every Markov process with a symmetric transition density, there correspond two random fie...
24 pages, 2 figuresInternational audienceWe survey the properties of the log-correlated Gaussian fie...
We study how the Gaussian multiplicative chaos (GMC) measures μγ corresponding to the 2D Gaussian fr...
Certain probabilistic processes appear in the asymptotic scaling limit of many models. This thesis c...
We construct the Phi(4)(3) measure on a periodic three dimensional box as an absolutely continuous p...
The Gaussian free field (GFF) is one of the most fundamental objects of Statistical Physics and Quan...
The Gaussian Free Field (GFF) in the continuum appears to be the natural generalisation of Brownian...
In this review-type paper written at the occasion of the Oberwolfach workshop One-sided vs. Two-side...
In the present paper, we show that on a compact Riemannian manifold $(M,g)$ of dimension $d\leqslant...
In this paper we study the properties of the centered (norm of the) gradient squared of the discrete...
In this thesis we construct the probabilistic Liouville field theory on the two-dimensional sphere. ...
We prove that a random distribution in two dimensions which is conformally invariant and satisfies a...
We show that there is “no stable free field of index α ∈ ( 1 , 2 ) ”, in the following sens...
We study branching diffusions in a bounded domain D of Rd in which particles are killed upon hitt...
This thesis studies the geometry of objects from 2-dimensional statistical physics in the continuum....
AbstractTo every Markov process with a symmetric transition density, there correspond two random fie...
24 pages, 2 figuresInternational audienceWe survey the properties of the log-correlated Gaussian fie...
We study how the Gaussian multiplicative chaos (GMC) measures μγ corresponding to the 2D Gaussian fr...
Certain probabilistic processes appear in the asymptotic scaling limit of many models. This thesis c...
We construct the Phi(4)(3) measure on a periodic three dimensional box as an absolutely continuous p...
The Gaussian free field (GFF) is one of the most fundamental objects of Statistical Physics and Quan...
The Gaussian Free Field (GFF) in the continuum appears to be the natural generalisation of Brownian...
In this review-type paper written at the occasion of the Oberwolfach workshop One-sided vs. Two-side...
In the present paper, we show that on a compact Riemannian manifold $(M,g)$ of dimension $d\leqslant...
In this paper we study the properties of the centered (norm of the) gradient squared of the discrete...
In this thesis we construct the probabilistic Liouville field theory on the two-dimensional sphere. ...
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