Travaux

A. Le Ny. Decimation of the 2D Ising Model : non-Gibbsianness at Low Temperature. Cahier du séminaire de probabilités, université de Rennes 1, 1998.

A. Le Ny. Fractal Failure of Quasilocality for a Majority Rule Transfomation on a Cayley Tree. Lett. Math. Phys. 54, no 1: 11--24, 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, Frank Redig. Short time conservation of Gibbsianness under Local Stochastic Dynamics. J. Stat. Phys. 109, nos 5/6, : 1073--1090, 2002.

R. Fernandez, A. Le Ny, F. Redig. Restoration of Gibbsianness for Projected and FKG Renormalized Measures. Bull. Braz. Math. Soc., New Series 34 (3) : 437--455, 2003.

R. Fernandez, A. Le Ny, F. Redig. Variational Principle and Almost Quasilocality for Renormalized Measures. J. Stat. Phys. 119 : 465--477, 2003.

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

C. Kuelske, A. Le Ny, F. Redig. Relative Entropy and Variational Properties of Generalized Gibbs Measures. Ann. Probab. 32, no 2 : 1691--1726, 2004.

A. van Enter, A. Le Ny, F. Redig (editors). Proceedings, Eurandom Workshop ''Gibbs vs. non-Gibbs in statistical mechanics and related fields'', December 2003. Markov Proc. Relat. Fields 10, no 3, 2004.

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

N. Guillotin-Plantard, A. Le Ny. Transient random walks on 2D-oriented lattices. Theory of Probab. Appl. 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. Appl. 207,431--454, 2007.

A. Le Ny. Gibbsian description of mean-field models. In ``In and out equilibrium 2'', Progress in Probability 60 : 463--480, Birk., 2008.

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

A. Le Ny. Introduction to generalized Gibbs measures. Ensaios Matématicos 15 : 1--126, 2008.

A. Le Ny. Deux problèmes probabilistes d'inspiration physicienne. Habilitation à Diriger des Recherches de l'université de Paris-Sud, Orsay, 26 novembre 2010.

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

P. Cénac, A. Le Ny, B. de Loynes, Y. Offret. Persistent Random Walks I: Recurrence vs. Transience. J. Theo. Probab. 243, 2018 (online 2016).

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

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

P. Cénac, A. Le Ny, B. de Loynes, Y. Offret. Persistent Random Walks II: Scaling limits. J. Theo. Probab., online august 21, 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. 363, no3 : 767 -- 788, 2018.

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, 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. 172, No 5:1210--1222, 2018.

F. Henning, C. Kuelske, A. Le Ny, U. Rozikov Gradient Gibbs Measures for the SoS model with countable values on a Cayley tree. submitted, 2019.