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1

“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

Journal:

Communications on Pure and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 610 KB

english, 2011

2

Infinite Volume Limit and Spontaneous Replica Symmetry Breaking in Mean Field Spin Glass Models

Francesco Guerra, Fabio Lucio Toninelli

Journal:

Annales Henri Poincaré

Year:

2003

Language:

english

File:

PDF, 79 KB

english, 2003

3

Mixing Times of Monotone Surfaces and SOS Interfaces: A Mean Curvature Approach

Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 532 KB

english, 2012

4

Zero-temperature 2D stochastic Ising model and anisotropic curve-shortening flow

Lacoin, Hubert, Simenhaus, François, Toninelli, Fabio Lucio

Journal:

Journal of the European Mathematical Society

Year:

2014

Language:

english

File:

PDF, 481 KB

english, 2014

5

Lozenge Tilings, Glauber Dynamics and Macroscopic Shape

Laslier, Benoît, Toninelli, Fabio Lucio

Journal:

Communications in Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 1.02 MB

english, 2015

6

Convergence to equilibrium of biased plane Partitions

Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

Journal:

Random Structures & Algorithms

Year:

2011

Language:

english

File:

PDF, 699 KB

english, 2011

7

The Thermodynamic Limit in Mean Field Spin Glass Models

Francesco Guerra, Fabio Lucio Toninelli

Journal:

Communications in Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 85 KB

english, 2002

8

Smoothing Effect of Quenched Disorder on Polymer Depinning Transitions

Giambattista Giacomin, Fabio Lucio Toninelli

Journal:

Communications in Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 227 KB

english, 2006

9

A Replica-Coupling Approach to Disordered Pinning Models

Fabio Lucio Toninelli

Journal:

Communications in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 249 KB

english, 2008

10

Fractional Moment Bounds and Disorder Relevance for Pinning Models

Bernard Derrida, Giambattista Giacomin, Hubert Lacoin, Fabio Lucio Toninelli

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 333 KB

english, 2009

11

On the Mixing Time of the 2D Stochastic Ising Model with “Plus” Boundary Conditions at Low Temperature

Fabio Martinelli, Fabio Lucio Toninelli

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 675 KB

english, 2010

12

Estimates on path delocalization for copolymers at selective interfaces

Giambattista Giacomin, Fabio Lucio Toninelli

Journal:

Probability Theory and Related Fields

Year:

2005

Language:

english

File:

PDF, 231 KB

english, 2005

13

Hierarchical pinning models, quadratic maps and quenched disorder

Giambattista Giacomin, Hubert Lacoin, Fabio Lucio Toninelli

Journal:

Probability Theory and Related Fields

Year:

2010

Language:

english

File:

PDF, 448 KB

english, 2010

14

The Ising--Sherrington-Kirpatrick Model in a Magnetic Field at High Temperature

Francis Comets, Francesco Guerra, Fabio Lucio Toninelli

Journal:

Journal of Statistical Physics

Year:

2005

Language:

english

File:

PDF, 187 KB

english, 2005

15

Critical Properties and Finite-Size Estimates for the Depinning Transition of Directed Random Polymers

Fabio Lucio Toninelli

Journal:

Journal of Statistical Physics

Year:

2007

Language:

english

File:

PDF, 301 KB

english, 2007

16

Copolymers at Selective Interfaces: New Bounds on

Thierry Bodineau, Giambattista Giacomin, Hubert Lacoin, Fabio Lucio Toninelli

Journal:

Journal of Statistical Physics

Year:

2008

Language:

english

File:

PDF, 569 KB

english, 2008

17

The High Temperature Region of the Viana–Bray Diluted Spin Glass Model

Francesco Guerra, Fabio Lucio Toninelli

Journal:

Journal of Statistical Physics

Year:

2004

Language:

english

File:

PDF, 179 KB

english, 2004

18

Polymer dynamics in the depinned phase: metastability with logarithmic barriers

Caputo, Pietro, Lacoin, Hubert, Martinelli, Fabio, Simenhaus, François, Toninelli, Fabio Lucio

Journal:

Probability Theory and Related Fields

Year:

2012

Language:

english

File:

PDF, 593 KB

english, 2012

19

A one-dimensional coagulation–fragmentation process with a dynamical phase transition

Cédric Bernardin, Fabio Lucio Toninelli

Journal:

Stochastic Processes and their Applications

Year:

2012

Language:

english

File:

PDF, 384 KB

english, 2012

20

The shape of the d SOS surface above a wall

Pietro Caputo, Eyal Lubetzky, Fabio Martinelli, Allan Sly, Fabio Lucio Toninelli

Journal:

Comptes Rendus Mathematique

Year:

2012

Language:

english

File:

PDF, 151 KB

english, 2012

21

How quickly can we sample a uniform domino tiling of the\(2L\times 2L\)square via Glauber dynamics?

Laslier, Benoît, Toninelli, Fabio Lucio

Journal:

Probability Theory and Related Fields

Year:

2015

Language:

english

File:

PDF, 1.91 MB

english, 2015

22

[IEEE 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science (FOCS) - Palm Springs, CA, USA (2011.10.22-2011.10.25)] 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science - Sharp Mixing Time Bounds for Sampling Random Surfaces

Caputo, Pietro, Martinelli, Fabio, Toninelli, Fabio Lucio

Year:

2011

Language:

english

File:

PDF, 535 KB

english, 2011

23

Central limit theorem for fluctuations in the high temperature region of the Sherrington–Kirkpatrick spin glass model

Guerra, Francesco, Lucio Toninelli, Fabio

Journal:

Journal of Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 352 KB

english, 2002

24

Quadratic replica coupling in the Sherrington–Kirkpatrick mean field spin glass model

Guerra, Francesco, Toninelli, Fabio Lucio

Journal:

Journal of Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 345 KB

english, 2002

25

Kac Limit for Finite-Range Spin Glasses

Franz, Silvio, Toninelli, Fabio Lucio

Journal:

Physical Review Letters

Year:

2004

Language:

english

File:

PDF, 77 KB

english, 2004

26

THE KAC LIMIT FOR DILUTED SPIN GLASSES

FRANZ, SILVIO, TONINELLI, FABIO LUCIO

Journal:

International Journal of Modern Physics B

Year:

2004

Language:

english

File:

PDF, 121 KB

english, 2004

27

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

Lubetzky, Eyal, Martinelli, Fabio, Sly, Allan, Toninelli, Fabio-Lucio

Journal:

Journal of the European Mathematical Society

Year:

2013

Language:

english

File:

PDF, 2.29 MB

english, 2013

28

Interaction Versus Entropic Repulsion for Low Temperature Ising Polymers

Ioffe, Dmitry, Shlosman, Senya, Toninelli, Fabio Lucio

Journal:

Journal of Statistical Physics

Year:

2015

Language:

english

File:

PDF, 608 KB

english, 2015

29

Finite-range spin glasses in the Kac limit: free energy and local observables

Franz, Silvio, Toninelli, Fabio Lucio

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2004

Language:

english

File:

PDF, 167 KB

english, 2004

30

Disordered Pinning Models and Copolymers: Beyond Annealed Bounds

Fabio Lucio Toninelli

Journal:

The Annals of Applied Probability

Year:

2008

Language:

english

File:

PDF, 1.27 MB

english, 2008

31

On the Irrelevant Disorder Regime of Pinning Models

Giambattista Giacomin and Fabio Lucio Toninelli

Journal:

The Annals of Probability

Year:

2009

Language:

english

File:

PDF, 2.17 MB

english, 2009

32

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

Caputo, Pietro, Martinelli, Fabio, Toninelli, Fabio Lucio

Journal:

Probability Theory and Related Fields

Year:

2015

Language:

english

File:

PDF, 859 KB

english, 2015

33

Dynamics of $(2+1)$-dimensional SOS surfaces above a wall: Slow mixing induced by entropic repulsion

Caputo, Pietro, Lubetzky, Eyal, Martinelli, Fabio, Sly, Allan, Toninelli, Fabio Lucio

Journal:

The Annals of Probability

Year:

2014

Language:

english

File:

PDF, 1.86 MB

english, 2014

34

Disorder relevance at marginality and critical point shift

Giacomin, Giambattista, Lacoin, Hubert, Toninelli, Fabio Lucio

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2011

File:

PDF, 428 KB

2011

35

Hierarchical pinning model in correlated random environment

Berger, Quentin, Toninelli, Fabio Lucio

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2013

File:

PDF, 487 KB

2013

36

Stationary measure of the driven two-dimensional $q$-Whittaker particle system on the torus

Corwin, Ivan, Toninelli, Fabio Lucio

Journal:

Electronic Communications in Probability

Year:

2016

Language:

english

File:

PDF, 271 KB

english, 2016

37

Haldane relation for interacting dimers

Giuliani, Alessandro, Mastropietro, Vieri, Lucio Toninelli, Fabio

Journal:

Journal of Statistical Mechanics Theory and Experiment

Year:

2017

Language:

english

File:

PDF, 2.31 MB

english, 2017

38

Hydrodynamic Limit Equation for a Lozenge Tiling Glauber Dynamics

Benoît Laslier,Fabio Lucio Toninelli

Journal:

Annales Henri Poincaré

Year:

2017

Language:

english

File:

PDF, 1.07 MB

english, 2017

39

Height fluctuations in interacting dimers

Giuliani, Alessandro, Mastropietro, Vieri, Toninelli, Fabio Lucio

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2017

File:

PDF, 933 KB

2017

40

Entropic repulsion in $$|\nabla \phi |^p$$ | ∇ ϕ | p surfaces: a large deviation bound for all $$p\ge 1$$ p ≥ 1

Caputo, Pietro, Martinelli, Fabio, Toninelli, Fabio Lucio

Journal:

Bollettino dell'Unione Matematica Italiana

Year:

2017

Language:

english

File:

PDF, 821 KB

english, 2017

41

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

Toninelli, Fabio Lucio

Journal:

The Annals of Probability

Year:

2017

Language:

english

File:

PDF, 572 KB

english, 2017

42

Universality for the pinning model in the weak coupling regime

Caravenna, Francesco, Toninelli, Fabio Lucio, Torri, Niccolò

Journal:

The Annals of Probability

Year:

2017

Language:

english

File:

PDF, 573 KB

english, 2017

43

Lozenge Tiling Dynamics and Convergence to the Hydrodynamic Equation

Laslier, Benoît, Toninelli, Fabio Lucio

Journal:

Communications in Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 796 KB

english, 2018

44

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

Caputo, Pietro, Lubetzky, Eyal, Martinelli, Fabio, Sly, Allan, Toninelli, Fabio Lucio

Journal:

Journal of the European Mathematical Society

Year:

2016

Language:

english

File:

PDF, 2.14 MB

english, 2016

45

Hydrodynamic Limit and Viscosity Solutions for a Two-Dimensional Growth Process in the Anisotropic KPZ Class

Legras, Martin, Toninelli, Fabio Lucio

Journal:

Communications on Pure and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 448 KB

english, 2018

46

A (2 + 1)-Dimensional Anisotropic KPZ Growth Model with a Smooth Phase

Chhita, Sunil, Toninelli, Fabio Lucio

Journal:

Communications in Mathematical Physics

Year:

2019

File:

PDF, 978 KB

2019

47

Non-integrable dimer models: Universality and scaling relations

Giuliani, Alessandro, Toninelli, Fabio Lucio

Journal:

Journal of Mathematical Physics

Year:

2019

File:

PDF, 5.19 MB

2019

48

Non-integrable Dimers: Universal Fluctuations of Tilted Height Profiles

Giuliani, Alessandro, Mastropietro, Vieri, Toninelli, Fabio Lucio

Journal:

Communications in Mathematical Physics

Year:

2020

File:

PDF, 1.15 MB

2020

49

Scaling Limits in Models of Statistical Mechanics

Ioffe, Dmitry, Kozma, Gady, Toninelli, Fabio Lucio

Journal:

Oberwolfach Reports

Year:

2015

File:

PDF, 816 KB

2015