Page professionnelle d'Arnaud LE NY (LAMA UMR 8050 CNRS-UPEC)

Publications

2024

L. Coquille, P. Dario, A. Le Ny.
Quantitative Delocalisation for the Gaussian and q-SoS long-range chains.
Submitted -- ArXiv, 2024.
E.O. Endo, A. van Enter, A. Le Ny
Long-Range Ising Models with Random Boundary Conditions.
Submitted -- ArXiv, 2024.
L. Coquille, A. van Enter, A. Le Ny, W. Ruszel.
Absence of Shift-Invariant Gibbs States (Delocalisation) for 1d Z-valued fields with long range.
J. Stat. Phys. vol. 191, article 80, 2024.
ArXiv preprint
L. Coquille, C. Kuelske, A. Le Ny.
Continuity of the Extremal Decomposition of the Free State for Finite-Spin Models on Trees.
Ann. IHP – Proba. & Stat., to appear, 2024.
ArXiv preprint

2023

A. Le Ny
Gibbs Measures for Long-Range Ising Models.
Etats de la Recherche en Mécanique Statistique, Panoramas et Synthèse (SMF), 2023.

ArXiv preprint
L. Coquille, C. Kuelske, A. Le Ny.
Extremal Inhomogeneous Gibbs States For SoS-Models and Finite-Spin Models on Cayley Trees.
J. Stat. Phys. vol. 190, article 71, 2023.
ArXiv preprint

2022

M. D'Achille, A. van Enter, A. Le Ny
Decimation for Two Dimensional long-range Ising and Rotator Models II
"Journal of Mathematical Physics", 2022. Journal

M. D'Achille, A. van Enter, A. Le Ny

Decimation for Two Dimensional long-range Ising and Rotator Models I

"Journal of Mathematical Physics", 2022. file preprint

M. D'Achille, A. Le Ny

Almost Gibbsian Measures on a Cayley Tree

"Markov Processes and Related Fields", 2022. file preprint

2021

A. van Enter, A. Le Ny, F. Paccaut
Markov and Almost Markov Properties in One and More Dimensions.

"Markov Processes and Related Fields", 27:315-337, 2021. file preprint
E.O. Endo, A. van Enter, A. Le Ny
The Roles of Random Boundary Conditions in Spin Systems.

"In and Out of Equilibrium 3. Celebrating Vladas Sidoravicius", Progress in Probability, 271-381, 2021. file preprint
N. Berger, S. Bethuelsen, D. Conache, A. Le Ny
One-sided and Two-sided Stochastic Descriptions.

Oberwolfach Reports 17, 601--637, 2021. file preprint

2020

A. Le Ny, L. Liao, U. Rozikov.
p-adic Boundary Laws and Markov Chains on Trees.
Lett. Maths. Phys., Vol 110, no 10:2725--2741, 2020. file preprint

2019

R. Bissacot, E. Endo, A. Van Enter, B. Kimura, A. Le Ny, W. Ruszel.

Dyson Models under Renormalization and in Weak Fields

Sojourns in Probability and Statistical Physics I, Vol 110, no 10:2725--2741, 2019. file preprint

Springer Proceedings in Mathematics & Statistics, volume 298 (V. Sidoravicius, NYU Shanghai, editor), 2019.

F. Henning, C. Kuelske, A. Le Ny, U. Rozikov.
Gradient Gibbs Measures for the SoS model with countable values on a Cayley tree
Electron. J. Probab. Volume 24, Paper no 124:1-23, 2019.
P. Cénac, A. Le Ny, B. de Loynes, Y. Offret.
Persistent Random Walks II: Scaling limits
J. Theo. Probab. Volume 32, No 2:633-659, 2019.

2018

L. Coquille, A. van Enter, A. Le Ny, W. Ruszel.
Absence of Dobrushin's states for 2d-long-range Ising models

J. Stat. Phys. Volume 172, No 5:1210--1222, 2018.

R. Bissacot, E. Endo, A. Van Enter, A. Le Ny.

Entropic repulsion and lack of the g-measure property for Dyson models

Comm. Math. Phys. Volume 1363 : 767 -- 788, 2018.

P. Cénac, A. Le Ny, B. de Loynes, Y. Offret.

Persistent Random Walks I: Recurrence vs. Transience

J. Theo. Probab. Volume 24, 2018.

2017

A. van Enter, A. Le Ny.
Decimation of the Dyson-Ising Ferromagnet
Stoch. Proc. Appl. Volume 127, no 11, 2017.

B. Cessac, A. Le Ny, E. Loecherbach.
On the Mathematical Consequences of Binning Rasters
Neural Computation > Volume 29, no 1:146--170, 2017.

2013

A. Le Ny.
Almost Gibbsianness and Parsimonious Description of the Decimated 2d-Ising Model
J. Stat. Phys. Volume 152, no 2:305--335, 2013.

2010

A. Le Ny.
Deux problèmes probabilistes d'inspiration physicienne

HDR de l'université de Paris-Sud, Orsay, 26 novembre 2010.

2008

A. Le Ny.

Gibbsian description of mean-field models

Progress in Probability In ``In and out equilibrium 2'', Volume 60 pp 463--480, Birk., 2008.

N. Guillotin-Plantard, A. Le Ny.
Functional Limit Theorem for a random walk with dependent marginals
Elec. Comm. Probab. Volume 13:337--351, 2008.
A. Le Ny.
Introduction to generalized Gibbs measures

Ensaios Matématicos Volume 15 : 1--126, 2008.

2007

N. Guillotin-Plantard, A. Le Ny.
Transient random walks on 2D-oriented lattices
Theory of Probab. Appl. Volume 52, no 4 : 815-826, 2007.
C. Kuelske, A. Le Ny.
Loss and recovery of Gibbsianness during spin-flip dynamics of the Curie-Weiss model

Comm. Math. Phys. Volume 207,431--454, 2007.

2006

A. Le Ny.
Extended Phase Diagram of the Curie-Weiss Random Field Ising Model
ICMP 2006 Poster, Rio de Janeiro, august 2006.

2004

C. Kuelske, A. Le Ny, F. Redig.

Loss and recovery of Gibbsianness during spin-flip dynamics of the Curie-Weiss model

Ann. Proba. > Volume 32, no 2 : 1691--1726, 2004.

A. Le Ny, F. Redig.
Large Deviations at Fixed Time in Glauber Evolution
Markov Proc. Relat. Fields Volume 10, no 1 : 65--74, 2004.

2003

R. Fernandez, A. Le Ny, F. Redig.
Variational Principle and Almost Quasilocality for Renormalized Measures
J. Stat. Phys. Volume 119 : 465--477, 2003.
R. Fernandez, A. Le Ny, F. Redig.
Restoration of Gibbsianness for Projected and FKG Renormalized Measures
Bull. Braz. Math. Soc. New Series, Volume 34 (3) : 437--455, 2003.

2002

A. Le Ny, Frank Redig.
Short time conservation of Gibbsianness under Local Stochastic Dynamics
J. Stat. Phys. Volume 109, nos 5/6 : 1073--1090, 2002.

2000

A. Le Ny.
Mesures de Gibbs sur un réseau, non-gibbsiannité et quasilocalité fractale : restauration du formalisme gibbsien
Thèse de doctorat , université de Rennes 1, 13 juillet 2000.
A. Le Ny.
Fractal Failure of Quasilocality for a Majority Rule Transfomation on a Cayley Tree
Lett. Math. Phys. Volume 54, no 1: 11--24, 2000.

1998

A. Le Ny.
Decimation of the 2D Ising Model : non-Gibbsianness at Low Temperature
Publications de l’Institut de recherche mathématiques de Rennes fascicule 2 « Fascicule de probabilités », pp. 1-71, 1998. 1998.