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

Project Information

LiKo

Grant agreement ID: 676999

DOI

10.3030/676999

Project closed

EC signature date 1 March 2016

Start date 1 September 2016

End date 31 August 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 935 000,00

EU contribution

€ 935 000,00

Coordinated by

UNIVERSITE LYON 1 CLAUDE BERNARD
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

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

Peer reviewed articles (24)

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 23, 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 2022, no. 5, 3219–3261., 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 180 (2021), no. 3-4, 621–678., 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 181 (2021), no. 4, 1035–1051., 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 1, 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 volume 375, pages1885–1929 (2020), 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 50 (2022), no. 2, 509–558., 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 volume 20, pages3693–3741 (2019), 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 27 (2020), no. 1, Paper No. 1.66, 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 33 (2020), no. 2, 828–865., 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 volume 176, pages1303–1355 (2020), 2020, Page(s) 1303--1355, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.48550/arxiv.1706.07737

Other (8)

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, Issue 5, 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