On bounded-type thin local sets of the two-dimensional Gaussian free field
J Aru, A Sepúlveda, W Werner - … of the Institute of Mathematics of …, 2019 - cambridge.org
ON BOUNDED-TYPE THIN LOCAL SETS OF THE TWO-DIMENSIONAL GAUSSIAN FREE
FIELD Page 1 J. Inst. Math. Jussieu (2019) 18(3), 591–618 doi:10.1017/S1474748017000160 …
FIELD Page 1 J. Inst. Math. Jussieu (2019) 18(3), 591–618 doi:10.1017/S1474748017000160 …
First passage sets of the 2D continuum Gaussian free field
J Aru, T Lupu, A Sepúlveda - Probability Theory and Related Fields, 2020 - Springer
We introduce the first passage set (FPS) of constant level-aa of the two-dimensional
continuum Gaussian free field (GFF) on finitely connected domains. Informally, it is the set of …
continuum Gaussian free field (GFF) on finitely connected domains. Informally, it is the set of …
A characterisation of the Gaussian free field
A characterisation of the Gaussian free field | Probability Theory and Related Fields Skip to
main content SpringerLink Account Menu Find a journal Publish with us Search Cart 1.Home …
main content SpringerLink Account Menu Find a journal Publish with us Search Cart 1.Home …
Dimensions of two-valued sets via imaginary chaos
Two-valued sets are local sets of the 2D Gaussian free field (GFF) that can be thought of as
representing all points of the domain that may be connected to the boundary by a curve on …
representing all points of the domain that may be connected to the boundary by a curve on …
Two-valued local sets of the 2D continuum Gaussian free field: connectivity, labels, and induced metrics
J Aru, A Sepúlveda - 2018 - projecteuclid.org
We study two-valued local sets, A_-a,b, of the two-dimensional continuum Gaussian free
field (GFF) with zero boundary condition in simply connected domains. Intuitively, A_-a,b is …
field (GFF) with zero boundary condition in simply connected domains. Intuitively, A_-a,b is …
SLE and its partition function in multiply connected domains via the Gaussian Free Field and restriction measures
J Aru, P Bordereau - arXiv preprint arXiv:2405.20148, 2024 - arxiv.org
One way to uniquely define Schramm-Loewner Evolution (SLE) in multiply connected
domains is to use the restriction property. This gives an implicit definition of a $\sigma $-finite …
domains is to use the restriction property. This gives an implicit definition of a $\sigma $-finite …
[PDF][PDF] Conformal invariance of double random currents and the XOR-Ising model I: identification of the limit
H Duminil-Copin, M Lis, W Qian - arXiv preprint arXiv:2107.12985, 2021 - ihes.fr
This is the first of two papers devoted to the proof of conformal invariance of the critical
double random current and the XOR-Ising models on the square lattice. More precisely, we …
double random current and the XOR-Ising models on the square lattice. More precisely, we …
A level line of the Gaussian free field with measure-valued boundary conditions
T Lupu, H Wu - Science China Mathematics, 2024 - Springer
In this article, we construct samples of Schramm-Loewner-evolution-like curves out of
samples of the conformal loop ensemble and Poisson point processes of Brownian …
samples of the conformal loop ensemble and Poisson point processes of Brownian …
From fields to paths, or there and back again
T Lupu - 2022 - hal.science
The Gaussian free field (GFF) is one of the most fundamental objects of Statistical Physics
and Quantum Field Theory. There is a strong connection between this GFF and the random …
and Quantum Field Theory. There is a strong connection between this GFF and the random …
[PDF][PDF] École doctorale de Sciences Mathématiques de Paris Centre Habilitationa Diriger des Recherches
T Lupu - hal.science
Résumé Le champ libre gaussien (CLG) est un des objets le plus fondamentaux de la
Physique Statistique et de la Théorie Quantique des Champs. Il ya une forte relation entre …
Physique Statistique et de la Théorie Quantique des Champs. Il ya une forte relation entre …