• Corpus ID: 11560129

# Topics on the two-dimensional Gaussian Free Field

@inproceedings{Werner2015TopicsOT,
title={Topics on the two-dimensional Gaussian Free Field},
author={Wendelin Werner},
year={2015}
}
9 Citations
Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations
• Mathematics
Latin American Journal of Probability and Mathematical Statistics
• 2021
We continue the study of the maximum of the scale-inhomogeneous discrete Gaussian free field in dimension two. In this paper, we consider the regime of weak correlations and prove the convergence in
Exact dimensionality and projection properties of Gaussian multiplicative chaos measures
• Computer Science
Transactions of the American Mathematical Society
• 2019
The Gaussian multiplier chaos measure of the Gaussian multiplicative chaos measure obtained as the limit of the exponential of the inline-formula content-type="math/mathml" xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="nu overTilde".
Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Sub-leading order and tightness
This is the first of a three paper series in which we present a comprehensive study of the extreme value theory of the scale-inhomogeneous discrete Gaussian free field. This model was introduced by
CLE PERCOLATIONS
• Mathematics
Forum of Mathematics, Pi
• 2017
Conformal loop ensembles (CLEs) are random collections of loops in a simply connected domain, whose laws are characterized by a natural conformal invariance property. The set of points not surrounded
Absolute continuity of projections of Gaussian multiplicative chaos measures
• Mathematics
• 2016
Given a measure $\nu$ on a regular planar domain $D$, the Gaussian multiplicative chaos measure of $\nu$ studied in this paper is the random measure ${\widetilde \nu}$ obtained as the limit of the
Interlacing adjacent levels of $$\beta$$β–Jacobi corners processes
• Mathematics
• 2016
We study the asymptotics of the global fluctuations for the difference between two adjacent levels in the $$\beta$$β–Jacobi corners process (multilevel and general $$\beta$$β extension of the
On the spatial Markov property of soups of unoriented and oriented loops
We describe simple properties of some soups of unoriented Markov loops and of some soups of oriented Markov loops that can be interpreted as a spatial Markov property of these loop-soups. This
The random pseudo-metric on a graph defined via the zero-set of the Gaussian free field on its metric graph
• Mathematics, Computer Science
• 2016
The pseudo-metric defined on the metric graph is defined to be the local time at level zero accumulated by the Gaussian free field along this path, and explicit laws on metric graphs are defined, which lead to new conjectures for related functionals of the continuum GFF on fairly general Riemann surfaces.
Pure Partition Functions of Multiple SLEs
• Mathematics
• 2015
Multiple Schramm–Loewner Evolutions (SLE) are conformally invariant random processes of several curves, whose construction by growth processes relies on partition functions—Möbius covariant solutions