From Liouville to Kolmogorov: 2d quantum gravity, noise sensitivity and turbulent flows

Publications

Bargmann-Fock percolation is noise sensitive

Author(s): Christophe Garban; Hugo Vanneuville
Published in: Electron. J. Probab., Issue 10836489, 2020, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-ejp491

Continuous symmetry breaking along the Nishimori line

Author(s): Christophe Garban, Thomas Spencer
Published in: J. Math. Phys., Issue 00222488, 2022, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0087024

Negative moments for Gaussian multiplicative chaos on fractal sets

Author(s): Christophe Garban; Nina Holden; Avelio Sepúlveda; Xin Sun
Published in: Electronic Communications in Probability, Issue 1083589X, 2018, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.48550/arxiv.1805.00864

Dynamical Liouville

Author(s): Garban, Christophe
Published in: Journal of Functional Analysis, Issue 00221236, 2020, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2019.108351

Dimensions of Two-Valued Sets via Imaginary Chaos

Author(s): Lukas Schoug; Avelio Sepúlveda; Fredrik Viklund
Published in: Int. Math. Res. Not. IMRN, Issue 10737928, 2022, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa250

Liouville dynamical percolation

Author(s): Christophe Garban; Christophe Garban; Nina Holden; Avelio Sepúlveda; Xin Sun
Published in: Probab. Theory Related Fields, Issue 01788051, 2021, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-021-01057-1

The critical threshold for Bargmann-Fock percolation

Author(s): Rivera, Alejandro; Vanneuville, Hugo
Published in: Annales Henri Lebesgue, Issue 26449463, 2020, ISSN 2644-9463
Publisher: École Normale Supérieure de Rennes
DOI: 10.48550/arxiv.1711.05012

The sharp phase transition for level set percolation of smooth planar Gaussian fields

Author(s): Stephen Muirhead; Hugo Vanneuville
Published in: Ann. Inst. Henri Poincaré Probab. Stat., Issue 02460203, 2020, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/19-aihp1006

The distance exponent for Liouville first passage percolation is positive

Author(s): Jian Ding; Ewain Gwynne; Avelio Sepúlveda
Published in: Probab. Theory Related Fields, Issue 01788051, 2021, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-021-01093-x

Critical Liouville measure as a limit of subcritical measures.

Author(s): Juhan Aru; Ellen Powell; Avelio Sepúlveda
Published in: Electronic Communications in Probability, Issue 1083589X, 2019, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.48550/arxiv.1802.08433

The First Passage Sets of the 2D Gaussian Free Field: Convergence and Isomorphisms

Author(s): Juhan Aru; Titus Lupu; Avelio Sepúlveda
Published in: Communications in Mathematical Physics, Issue 00103616, 2020, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03718-z

The annealed spectral sample of Voronoi percolation

Author(s): Hugo Vanneuville
Published in: Annals of Probability, Issue 00911798, 2021, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.48550/arxiv.1906.12256

Quasi-independence for nodal lines

Author(s): Rivera , Alejandro; Vanneuville , Hugo
Published in: Ann. Inst. Henri Poincaré Probab. Stat., Issue 02460203, 2019, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/18-aihp931

Two-valued local sets of the 2D continuum Gaussian free field: connectivity, labels, and induced metrics

Author(s): Juhan Aru, Avelio Sepúlveda
Published in: Electronic Journal of Probability, Issue 23/0, 2018, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/18-EJP182

A dissipative random velocity field for fully developed fluid turbulence

Author(s): Rodrigo M. Pereira, Christophe Garban, Laurent Chevillard
Published in: Journal of Fluid Mechanics, Issue 794, 2016, Page(s) 369-408, ISSN 0022-1120
Publisher: Cambridge University Press
DOI: 10.1017/jfm.2016.166

Extremal distance and conformal radius of a CLE_4 loop

Author(s): Aru, Juhan; Lupu, Titus; Sepúlveda, Avelio
Published in: Ann. Probab., Issue 00911798, 2022, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-aop1538

Annealed scaling relations for Voronoi percolation

Author(s): Hugo Vanneuville
Published in: Electronic Journal of Probability, Issue 10836489, 2019, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.48550/arxiv.1806.08452

On a skewed and multifractal uni-dimensional random field, as a probabilistic representation of Kolmogorov's views on turbulence

Author(s): Rhodes, Rémi; Chevillard, Laurent; Garban, Christophe; Vargas, Vincent
Published in: Annales Henri Poincaré, Issue 14240637, 2019, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-019-00842-y

Tree-decorated planar maps

Author(s): Luis Fredes; Avelio Sepúlveda
Published in: Electron. J. Combin., Issue 10778926, 2020, ISSN 1077-8926
Publisher: Electronic Journal of Combinatorics
DOI: 10.37236/8635

A new proof of Liggett's theorem for non-interacting Brownian motions

Author(s): Chen, Xinxin; Garban, Christophe; Shekhar, Atul
Published in: Electron. Commun. Probab., Issue 1083589X, 2021, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-ecp435

Inverted orbits of exclusion processes, diffuse-extensive-amenability, and (non-?)amenability of the interval exchanges

Author(s): Christophe Garban
Published in: Groups Geom. Dyn., Issue 16617207, 2020, ISSN 1661-7207
Publisher: European Mathematical Society Publishing House
DOI: 10.48550/arxiv.1804.01981

On the Convergence of FK–Ising Percolation to $$\mathrm {SLE}(16/3, (16/3)-6)$$SLE(16/3,(16/3)-6)

Author(s): Christophe Garban; Hao Wu
Published in: J. Theoret. Probab., Issue 08949840, 2020, ISSN 0894-9840
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10959-019-00950-9

Exceptional times for percolation under exclusion dynamics

Author(s): Christophe Garban; Hugo Vanneuville
Published in: Annales Scientifiques de l'École Normale Supérieure, Issue 00129593, 2019, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.48550/arxiv.1605.04766

First passage sets of the 2D continuum Gaussian free field

Author(s): Juhan Aru; Titus Lupu; Avelio Sepúlveda
Published in: Probability Theory and Related Fields, Issue 01788051, 2020, Page(s) 1303--1355, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.48550/arxiv.1706.07737

Quantitative quenched Voronoi percolation and applications

Author(s): Vanneuville, Hugo
Published in: To be published in AIHP, 2018
Publisher: arxiv(=Prerpint)
DOI: 10.48550/arxiv.1806.08448

Long-range order for critical Book-Ising and Book-percolation

Author(s): Duminil-Copin, Hugo; Garban, Christophe; Tassion, Vincent
Published in: 2020
Publisher: Arxiv
DOI: 10.48550/arxiv.2011.04644

Statistical reconstruction of the Gaussian free field and KT transition

Author(s): Garban, Christophe; Sepúlveda, Avelio
Published in: To appear in JEMS (Journal of Eur. Math Society), 2020
Publisher: Arxiv
DOI: 10.48550/arxiv.2002.12284

Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models

Author(s): Scott Armstrong, Paul Dario
Published in: 2022
Publisher: Arxiv

Quantitative bounds on vortex fluctuations in $2d$ Coulomb gas and maximum of the integer-valued Gaussian free field

Author(s): Garban, Christophe; Sepúlveda, Avelio
Published in: 2020, 2021
Publisher: Arxiv
DOI: 10.48550/arxiv.2012.01400

The fixed points of Branching Brownian Motion

Author(s): Chen, Xinxin; Garban, Christophe; Shekhar, Atul
Published in: Arxiv (preprint submitted), 2020
Publisher: Arxiv
DOI: 10.48550/arxiv.2012.03917

Long-range models in 1D revisited

Author(s): Duminil-Copin, Hugo; Garban, Christophe; Tassion, Vincent
Published in: 2020
Publisher: Arxiv
DOI: 10.48550/arxiv.2011.04642

Improved spin-wave estimate for Wilson loops in $U(1)$ lattice gauge theory

Author(s): Garban, Christophe; Sep��lveda, Avelio
Published in: 2021
Publisher: Arxiv(=preprint)
DOI: 10.48550/arxiv.2107.04021

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