In this introductory chapter, we look at iterations of conformal maps, random processes, such as random walks, and statistical physics and establish some connections.Peer reviewe
The Schramm–Loewner evolution (SLE[subscript κ]) is a candidate for the scaling limit of random curv...
Conformal loop ensembles (CLEs) are random collections of loops in a simply connected domain, whose ...
This dissertation deals with two-dimensional random walks and their conformally invariant scaling li...
In this introductory chapter, we look at iterations of conformal maps, random processes, such as ran...
This thesis explores different aspects of a surprising field of research: the conformally invariant ...
Random objects such as clusters in the plane can often be described in terms of the conformal mappin...
The central topic of this thesis is the study of properties of Conformal Loop Ensembles (CLE), which...
In this paper, we provide a framework of estimates for describing 2D scaling limits by Schramm's SLE...
In 2000, O. Schramm [4] introduced a one-parameter family of random growth processes in two dimen-si...
First we introduce the two tau-functions which appeared either as the τ -function of the integrable...
Lecture NotesThe lectures will be devoted to a somewhat detailed presentation of Stochastic Schramm-...
16 pages, 6 figuresWe consider the critical Fortuin-Kasteleyn (cFK) random map model. For each $q\in...
International audienceWe present a way to study the conformal structure of random planar maps. The m...
Original manuscript September 28, 2011For random collections of self-avoiding loops in two-dimension...
AbstractThe Hastings–Levitov process HL(α) describes planar random compact subsets by means of rando...
The Schramm–Loewner evolution (SLE[subscript κ]) is a candidate for the scaling limit of random curv...
Conformal loop ensembles (CLEs) are random collections of loops in a simply connected domain, whose ...
This dissertation deals with two-dimensional random walks and their conformally invariant scaling li...
In this introductory chapter, we look at iterations of conformal maps, random processes, such as ran...
This thesis explores different aspects of a surprising field of research: the conformally invariant ...
Random objects such as clusters in the plane can often be described in terms of the conformal mappin...
The central topic of this thesis is the study of properties of Conformal Loop Ensembles (CLE), which...
In this paper, we provide a framework of estimates for describing 2D scaling limits by Schramm's SLE...
In 2000, O. Schramm [4] introduced a one-parameter family of random growth processes in two dimen-si...
First we introduce the two tau-functions which appeared either as the τ -function of the integrable...
Lecture NotesThe lectures will be devoted to a somewhat detailed presentation of Stochastic Schramm-...
16 pages, 6 figuresWe consider the critical Fortuin-Kasteleyn (cFK) random map model. For each $q\in...
International audienceWe present a way to study the conformal structure of random planar maps. The m...
Original manuscript September 28, 2011For random collections of self-avoiding loops in two-dimension...
AbstractThe Hastings–Levitov process HL(α) describes planar random compact subsets by means of rando...
The Schramm–Loewner evolution (SLE[subscript κ]) is a candidate for the scaling limit of random curv...
Conformal loop ensembles (CLEs) are random collections of loops in a simply connected domain, whose ...
This dissertation deals with two-dimensional random walks and their conformally invariant scaling li...
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