Stochastic Processes on Random Surfaces

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Simple conformal loop ensembles on Liouville quantum gravity

Author(s): Jason Miller, Scott Sheffield, Wendelin Werner
Published in: The Annals of Probability, Issue 50, 2022, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-aop1550

The geodesics in Liouville quantum gravity are not Schramm–Loewner evolutions

Author(s): Jason Miller, Wei Qian
Published in: Probability Theory and Related Fields, Issue 177/3-4, 2020, Page(s) 677-709, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-019-00949-7

Percolation for two-dimensional excursion clouds and the discrete Gaussian free field

Author(s): A. Drewitz, O. Elias, A. Prévost, J. Tykesson, F. Viklund
Published in: Electronic Journal of Probability, Issue 29, 2024, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1168

High-dimensional near-critical percolation and the torus plateau

Author(s): Tom Hutchcroft, Emmanuel Michta, Gordon Slade
Published in: The Annals of Probability, Issue 51, 2023, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/22-aop1608

UNIQUENESS OF THE WELDING PROBLEM FOR SLE AND LIOUVILLE QUANTUM GRAVITY

Author(s): Oliver McEnteggart, Jason Miller, Wei Qian
Published in: Journal of the Institute of Mathematics of Jussieu, 2019, Page(s) 1-27, ISSN 1474-7480
Publisher: Cambridge University Press
DOI: 10.1017/s1474748019000331

What are the limits of universality?

Author(s): Noah Halberstam, Tom Hutchcroft
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 478, 2023, ISSN 1364-5021
Publisher: Royal Society of London
DOI: 10.1098/rspa.2021.0857

Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces

Author(s): Jason Miller, Scott Sheffield, Wendelin Werner
Published in: Probability Theory and Related Fields, 2021, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-021-01070-4

On the boundary at infinity for branching random walk

Author(s): Elisabetta Candellero, Tom Hutchcroft
Published in: Electronic Communications in Probability, Issue 28, 2023, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/23-ecp560

A Gaussian free field approach to the natural parametrisation of SLE4

Author(s): Vlad Margarint, Lukas Schoug
Published in: Electronic Communications in Probability, Issue 28, 2023, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/23-ecp563

Existence and uniqueness of the Liouville quantum gravity metric for $$\gamma \in (0,2)$$

Author(s): Ewain Gwynne, Jason Miller
Published in: Inventiones mathematicae, Issue 223/1, 2021, Page(s) 213-333, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-020-00991-6

Local metrics of the Gaussian free field

Author(s): Ewain Gwynne, Jason Miller
Published in: Annales de l'Institut Fourier, Issue 70/5, 2020, Page(s) 2049-2075, ISSN 1777-5310
Publisher: Association des Annales de I'Institut Fourier
DOI: 10.5802/aif.3398

Generating Galton–Watson trees using random walks and percolation for the Gaussian free field

Author(s): Alexander Drewitz, Gioele Gallo, Alexis Prévost
Published in: The Annals of Applied Probability, Issue 34, 2024, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/23-aap2022

The critical two-point function for long-range percolation on the hierarchical lattice

Author(s): Tom Hutchcroft
Published in: The Annals of Applied Probability, Issue 34, 2024, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/23-aap1982

Confluence of geodesics in Liouville quantum gravity for $\gamma \in (0,2)$

Author(s): Ewain Gwynne, Jason Miller
Published in: Annals of Probability, Issue 48/4, 2020, Page(s) 1861-1901, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/19-aop1409

Scaling Properties of a Random Yule Tree Embedded in R^D

Author(s): Lukas Schoug
Published in: Markov Processes And Related Fields, 2024, Page(s) 333-356, ISSN 1024-2953
Publisher: Polymat
DOI: 10.61102/1024-2953-mprf.2024.30.2.004

Conformal covariance of the Liouville quantum gravity metric for γ∈(0,2)

Author(s): Ewain Gwynne, Jason Miller
Published in: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Issue 57/2, 2021, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/20-aihp1105

Slightly supercritical percolation on nonamenable graphs II: growth and isoperimetry of infinite clusters

Author(s): Tom Hutchcroft
Published in: Probability Theory and Related Fields, Issue 188, 2024, Page(s) 549-582, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-023-01240-6

Non-triviality of the phase transition for percolation on finite transitive graphs

Author(s): Tom Hutchcroft, Matthew Tointon
Published in: Journal of the European Mathematical Society, 2024, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1453

On the Derivation of Mean-Field Percolation Critical Exponents from the Triangle Condition

Author(s): Tom Hutchcroft
Published in: Journal of Statistical Physics, Issue 189, 2024, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-022-02967-7

A continuous proof of the existence of the SLE$_8$ curve

Author(s): Ambrosio, Valeria; Miller, Jason
Published in: 2022
Publisher: Mathematics arXiv

Tightness of approximations to the chemical distance metric for simple conformal loop ensembles

Author(s): Miller, Jason
Published in: 2021
Publisher: Mathematics arXiv

Conformal removability of SLE$_4$

Author(s): Kavvadias, Konstantinos; Miller, Jason; Schoug, Lukas
Published in: 2022
Publisher: Mathematics arXiv

Equivalence of metric gluing and conformal welding in $\gamma$-Liouville quantum gravity for $\gamma \in (0,2)$

Author(s): Hughes, Liam; Miller, Jason
Published in: 2022
Publisher: Mathematics arXiv

The bunkbed conjecture holds in the $p\uparrow 1$ limit

Author(s): Hutchcroft, Tom; Nizić-Nikolac, Petar; Kent, Alexander
Published in: 2021
Publisher: Mathematics arXiv

Bipolar oriented random planar maps with large faces and exotic SLE$_��(��)$ processes

Author(s): Kavvadias, Konstantinos; Miller, Jason
Published in: 2022
Publisher: Mathematics arXiv

On the geometry of trees in a network: radius and convergence

Author(s): Schoug, Lukas
Published in: Issue 1, 2023
Publisher: Mathematics arXiv

Regularity of the Schramm-Loewner evolution: Up-to-constant variation and modulus of continuity

Author(s): Holden, Nina; Yuan, Yizheng
Published in: 2022
Publisher: Mathematics arXiv

Phase transition for the late points of random walk

Author(s): Prévost, Alexis; Rodriguez, Pierre-François; Sousi, Perla
Published in: 2023
Publisher: Mathematics arXiv

Regularity of the SLE$_4$ uniformizing map and the SLE$_8$ trace

Author(s): Kavvadias, Konstantinos; Miller, Jason; Schoug, Lukas
Published in: 2021
Publisher: Mathematics arXiv

Existence and uniqueness of the conformally covariant volume measure on conformal loop ensembles

Author(s): Miller, Jason; Schoug, Lukas
Published in: 2022
Publisher: Mathematics arXiv

Arm exponent for the Gaussian free field on metric graphs in intermediate dimensions

Author(s): Drewitz, Alexander; Prévost, Alexis; Rodriguez, Pierre-François
Published in: 2023
Publisher: Mathematics arXiv

Conformal removability of non-simple Schramm-Loewner evolutions

Author(s): Kavvadias, Konstantinos; Miller, Jason; Schoug, Lukas
Published in: 2023
Publisher: Mathematics arXiv

Geodesics in the Brownian map: Strong confluence and geometric structure

Author(s): Miller, Jason, R.; Qian, Wei
Published in: 2020
Publisher: Mathematics arXiv

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