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How quickly can we sample a uniform domino tiling of the 2L x 2L square via Glauber dynamics?

 Benoit Laslier , Fabio Toninelli
Probability Theory and Related Fields, 2015, 161, pp.509-559. ⟨10.1007/s00440-014-0553-0⟩
Article dans une revue hal-00863462v1

A (2+1)-dimensional Anisotropic KPZ growth model with a smooth phase

 Sunil Chhita , Fabio Toninelli
Communications in Mathematical Physics, 2019, 367 (2), pp.483-516. ⟨10.1007/s00220-019-03402-x⟩
Article dans une revue hal-01719241v1

Scaling limit and cube-root fluctuations in SOS surfaces above a wall

 Pietro Caputo , Eyal Lubetzky , Fabio Martinelli , Allan Sly , Fabio Lucio Toninelli
Journal of the European Mathematical Society, 2016, 18 (5), pp.931-995. ⟨10.4171/JEMS/606⟩
Article dans une revue hal-00863472v1
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Universality for the pinning model in the weak coupling regime

 Francesco Caravenna , Fabio Lucio Toninelli † , Torri Niccolo
Annals of Probability, 2017, 45 (4), pp.2154-2209. ⟨10.1214/16-AOP1109⟩
Article dans une revue hal-01154945v2

Weak coupling limit of the Anisotropic KPZ equation

 Fabio Toninelli , Giuseppe Cannizzaro , Dirk Erhard
2022
Pré-publication, Document de travail hal-03549872v1
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A one-dimensional coagulation-fragmentation process with a dynamical phase transition

 Cedric Bernardin , Fabio Lucio Toninelli
Stochastic Processes and their Applications, 2012, 122 (4), pp.35
Article dans une revue ensl-00608829v2

$\sqrt{\log t}$-superdiffusivity for a Brownian particle in the curl of the 2d GFF

 Fabio Toninelli , Giuseppe Cannizzaro , Levi Haunschmid-Sibitz
2022
Pré-publication, Document de travail hal-03549874v1

Speed and fluctuations for some driven dimer models

 Sunil Chhita , P.L. Ferrari , Fabio Lucio Toninelli
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2019, 6 (4), pp.489-532. ⟨10.4171/AIHPD/77⟩
Article dans une revue hal-01526372v1
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The Ising-Sherrington-Kirpatrick model in a magnetic field at high temperature

 Francis Comets , Francesco Guerra , Fabio Lucio Toninelli
Journal of Statistical Physics, 2005, 120, pp.147-165. ⟨10.1007/s10955-005-5471-1⟩
Article dans une revue hal-00003866v1

Quasi-polynomial mixing of the 2D stochastic Ising model with "plus" boundary up to criticality

 Eyal Lubetzky , Fabio Martinelli , Allan Sly , Fabio Lucio Toninelli
Journal of the European Mathematical Society, 2013, 15, pp.339. ⟨10.4171/JEMS⟩
Article dans une revue hal-00863467v1

(2+1)-dimensional interface dynamics: mixing time, hydrodynamic limit and Anisotropic KPZ growth

 Fabio Toninelli
International Congress of Mathematicians 2018, Aug 2018, Rio de Janeiro, Brazil. pp.2719-2744
Communication dans un congrès hal-01636228v1
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ZERO-TEMPERATURE 2D STOCHASTIC ISING MODEL AND ANISOTROPIC CURVE-SHORTENING FLOW

 Hubert Lacoin , François Simenhaus , Fabio Lucio Toninelli
J. Eur. Math. Soc. (JEMS) 6, 2014, 16 (12)
Article dans une revue hal-00656387v1

The stationary AKPZ equation: logarithmic superdiffusivity

 Giuseppe Cannizzaro , Dirk Erhard , Fabio Toninelli
Communications on Pure and Applied Mathematics, In press
Article dans une revue hal-02932778v1

Hierarchical pinning models, quadratic maps and quenched disorder

 Giambattista Giacomin , Hubert Lacoin , Fabio Lucio Toninelli
2007
Pré-publication, Document de travail hal-00202697v1

A (2+1)-dimensional growth process with explicit stationary measures

 Fabio Lucio Toninelli
Annals of Probability, 2017, 45 (5), pp.2899-2940. ⟨10.1214/16-AOP1128⟩
Article dans une revue hal-01254307v1

The domino shuffling algorithm and Anisotropic KPZ stochastic growth

 Sunil Chhita , Fabio Toninelli
Annales Henri Lebesgue, 2021, 4, pp.1005-1034. ⟨10.48550/arXiv.1906.07231⟩
Article dans une revue hal-02159744v1
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Zero'' temperature stochastic 3D Ising model and dimer covering fluctuations: a first step towards interface mean curvature motion

 Pietro Caputo , Fabio Martinelli , François Simenhaus , Fabio Lucio Toninelli
Communications on Pure and Applied Mathematics, 2011, 64 (6), pp.778-831. ⟨10.1002/cpa.20359⟩
Article dans une revue hal-00655986v1

Dynamics of 2+1 dimensional SOS surfaces above a wall: slow mixing induced by entropic repulsion

 Pietro Caputo , Eyal Lubetzky , Fabio Martinelli , Allan Sly , Fabio Lucio Toninelli
Annals of Probability, 2014, 42 (4), pp.1516-1589. ⟨10.1214/13-AOP836⟩
Article dans une revue hal-00863464v1

Disorder relevance at marginality and critical point shift

 Giambattista Giacomin , Hubert Lacoin , Fabio Lucio Toninelli
2009
Pré-publication, Document de travail hal-00413563v1

Two-dimensional Anisotropic KPZ growth and limit shapes

 Alexei Borodin , Fabio Lucio Toninelli
Journal of Statistical Mechanics: Theory and Experiment, 2018, pp.083205. ⟨10.1088/1742-5468/aad6b4⟩
Article dans une revue hal-01825616v1
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Interaction versus entropic repulsion for low temperature Ising polymers

 Dmitry Ioffe , Senya Shlosman , Fabio Lucio Toninelli
Journal of Statistical Physics, 2015, 158 (5), pp.1007-1050. ⟨10.1007/s10955-014-1153-1⟩
Article dans une revue hal-01252304v1

Height fluctuations in non-integrable classical dimers

 Alessandro Giuliani , Vieri Mastropietro , Fabio Lucio Toninelli
Europhysics Letterss, 2015, 109, pp.60004
Article dans une revue hal-01254311v1

Height fluctuations in interacting dimers

 Alessandro Giuliani , Vieri Mastropietro , Fabio Lucio Toninelli
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2017, 53 (1), pp.98. ⟨10.1214/15-AIHP710⟩
Article dans une revue hal-01017917v1

Copolymers at selective interfaces: new bounds on the phase diagram

 T. Bodineau , G. Giacomin , H. Lacoin , Fabio Lucio Toninelli
2008
Pré-publication, Document de travail hal-00264365v1

Hydrodynamic limit for a 2D interlaced particle process

 Vincent Lerouvillois , Fabio Toninelli
The Annals of Applied Probability, 2022, 32 (1), pp.167-190. ⟨10.1214/21-AAP1674⟩
Article dans une revue hal-02566038v1

Multi-level pinning problems for random walks and self-avoiding lattice paths

 Pietro Caputo , Fabio Martinelli , Fabio Lucio Toninelli
Electronic Journal of Probability, 2015, 20 (8), pp.1-29. ⟨10.1214/EJP.v20-3849⟩
Article dans une revue hal-01254328v1

Lozenge tilings, Glauber dynamics and macroscopic shape

 Benoit Laslier , Fabio Lucio Toninelli
Communications in Mathematical Physics, 2015, 338 (3), pp.1287-1326. ⟨10.1007/s00220-015-2396-7⟩
Article dans une revue hal-00943611v1

On the probability of staying above a wall for the (2+1)-dimensional SOS model at low temperature

 Pietro Caputo , Fabio Martinelli , Fabio Lucio Toninelli
Probability Theory and Related Fields, 2015, 163, pp.803-831
Article dans une revue hal-01005496v1

The shape of the $(2+1)$D SOS surface above a wall

 Pietro Caputo , Eyal Lubetzky , Fabio Martinelli , Allan Sly , Fabio Lucio Toninelli
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2012, 350 (13-14), pp.703-706. ⟨10.1016/j.crma.2012.07.006⟩
Article dans une revue hal-00863471v1

Mixing times of monotone surfaces and SOS interfaces: a mean curvature approach

 Pietro Caputo , Fabio Martinelli , Fabio Lucio Toninelli
Communications in Mathematical Physics, 2012, 311, pp.157. ⟨10.1007/s00220-012-1425-z⟩
Article dans une revue hal-00863469v1
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