Book
-
[B]
Statistical Mechanics of Lattice Systems: a Concrete Mathematical Introduction
S. Friedli and Y. Velenik
Cambridge University Press
,
2017
ISBN: 978-1-107-18482-4
DOI: 10.1017/9781316882603.
[Preprint version, official book page, bibtex]
Papers
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[52]
Fixed-magnetization Ising model with a slowly varying magnetic field
Y. Aoun, S. Ott and Y. Velenik
Accepted for publication in J. Stat. Phys.
(2024).
[Abstract,
PDF, bibtex]
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[51]
On the two-point function of the Potts model in the saturation regime
Y. Aoun, S. Ott and Y. Velenik
Commun. Math. Phys.
399,
1103-1138
(2023).
[Abstract,
PDF, Published version, bibtex]
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[50]
Ornstein-Zernike behavior for Ising models with infinite-range interactions
Y. Aoun, S. Ott and Y. Velenik
Annales de l'Institut Henri Poincaré
60,
167-207
(2024).
[Abstract,
PDF, Published version, bibtex, slides, talk]
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[49]
Critical prewetting in the 2d Ising model
D. Ioffe, S. Ott, S. Shlosman and Y. Velenik
Annals of Probability
50,
1127-1172
(2022).
[Abstract, Published version,
PDF, bibtex, slides 1, talk 1, slides 2, talk 2]
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[48]
Failure of Ornstein-Zernike asymptotics for the pair correlation function at high temperature and small density
Y. Aoun, D. Ioffe, S. Ott and Y. Velenik
Physical Review E
103,
L050104
(2021).
[Abstract,
PDF, Published version, bibtex, slides, talk]
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[47]
Non-analyticity of the correlation length in systems with exponentially decaying interactions
Y. Aoun, D. Ioffe, S. Ott and Y. Velenik
Commun. Math. Phys.
386,
433-467
(2021).
[Abstract,
PDF, Published version, bibtex, slides, talk]
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[46]
Invariance principle for a Potts interface along a wall
D. Ioffe, S. Ott, Y. Velenik and V. Wachtel
J. Stat. Phys.
180,
832-861
(2020) (special issue celebrating Joel Lebowitz' 90th birthday).
[Abstract, Published version, PDF, bibtex]
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[45]
Asymptotics of correlations in the Ising model: a brief survey
S. Ott and Y. Velenik
Panoramas et Synthèses
59,
157-184
(2023).
[Abstract, Published version, PDF, bibtex]
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[44]
Asymptotics of even-even correlations in the Ising model
S. Ott and Y. Velenik
Probab. Theory Relat. Fields
175,
309-340
(2019).
[Abstract, Published
version, PDF, bibtex, slides]
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[43]
Potts models with a defect line
S. Ott and Y. Velenik
Commun. Math. Phys.
362,
55-106
(2018).
[Abstract, Published version, PDF, bibtex, slides]
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[42]
Low-temperature interfaces: Prewetting,
layering, faceting and Ferrari-Spohn diffusions
D. Ioffe and Y. Velenik
Markov Process. Related Fields
24,
487-537
(2018).
[Abstract, Published version, PDF, bibtex]
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[41]
Dyson Ferrari-Spohn diffusions and ordered walks under area tilts
D. Ioffe, Y. Velenik and V. Wachtel
Probab. Theory Relat. Fields
170,
11-47
(2018).
[Abstract, PDF, Published version, bibtex]
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[40]
A Quantitative Burton-Keane Estimate Under Strong FKG Condition
H. Duminil-Copin, D. Ioffe and Y. Velenik
Ann. Probab.
44,
3335-3356
(2016).
[Abstract, PDF, Published version, bibtex]
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[39]
An Invariance Principle to Ferrari-Spohn Diffusions
D. Ioffe, S. Shlosman and Y. Velenik
Commun. Math. Phys.
336,
905-932
(2015).
[Abstract, PDF, Published version, bibtex]
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[38]
Upper Bound on the Decay of Correlations in a General Class of $O(N)$-symmetric models
M. Gagnebin and Y. Velenik
Commun. Math. Phys.
332,
1235-1255
(2014).
[Abstract, PDF, Published
version, bibtex, slides]
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[37]
On the Gibbs States of the Noncritical Potts Model on $\mathbb{Z}^2$
L. Coquille, H. Duminil-Copin, D. Ioffe
and Y. Velenik
Probab. Theory Relat. Fields
158,
477-512
(2014).
[Abstract, PDF, Published
version, bibtex]
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[36]
An Almost-Sure CLT for Stretched Polymers
D. Ioffe and Y. Velenik
Electron. J. Probab.
18, no 97,
1-20
(2013).
[Abstract, PDF, Published version, bibtex]
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[35]
Subcritical Percolation with a Line of Defects
S. Friedli, D. Ioffe and Y. Velenik
Ann. Probab.
41,
2013-2046
(2013).
[Abstract, PDF, Published version, bibtex, slides, audio]
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[34]
Self-Attractive Random Walks: The Case of Critical Drifts
D. Ioffe and Y. Velenik
Commun. Math. Phys.
313,
209-235
(2012).
[Abstract, PDF, Published version, bibtex]
Erratum:
Commun. Math. Phys.
323(1),
449-450
(2013).
[PDF, Published version, bibtex]
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[33]
Stretched Polymers in Random Environment
D. Ioffe and Y. Velenik
in Probability in Complex Physical Systems, in honour of E. Bolthausen and J. Gärtner,
J.-D. Deuschel et al. (eds)
Springer Proceedings in Mathematics
11,
339-369
(2012).
[Abstract, PDF, Published version, bibtex]
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[32]
A Finite-Volume Version of Aizenman-Higuchi Theorem for the 2d Ising model
L. Coquille and Y. Velenik
Probab. Theory Relat. Fields
153
25-44
(2012).
[Abstract, PDF, Published version, bibtex]
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[31]
Crossing Random Walks and Stretched Polymers at Weak Disorder
D. Ioffe and Y. Velenik
Ann. Probab.
40,
714-742
(2012).
[Abstract, PDF, Published version, bibtex]
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[30]
Random Permutations with Cycle Weights
V. Betz, D. Ueltschi and Y. Velenik
Ann. Appl. Probab.
21,
312-331
(2011).
[Abstract, PDF, Published version, bibtex]
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[29]
Scaling Limit of the Prudent Walk
V. Beffara, S. Friedli and Y. Velenik
Electron. Commun. Probab.
15,
44-58
(2010).
[Abstract, PDF, Published version, bibtex]
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[28]
The Statistical Mechanics of Stretched Polymers
D. Ioffe and Y. Velenik
Braz. J. Probab. Stat.
24 (2),
279-299
(2010).
[Abstract, PDF, Published version, bibtex]
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[27]
Some Rigorous Results about Semiflexible Polymers I. Free and Confined Polymers
O. Hryniv and Y. Velenik
Stoch. Proc. Appl.
119,
3081-3100
(2009).
[Abstract, PDF, Published version, bibtex]
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[26]
Wetting of Gradient Fields: Pathwise Estimates
Y. Velenik
Probab. Theory Relat. Fields
143,
379-399
(2009).
[Abstract, PDF, Published version, bibtex]
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[25]
Ballistic Phase of Self-Interacting Random Walks
D. Ioffe and Y. Velenik
In "Analysis and Stochastics of Growth Processes and Interface Models", P. Mà¶rters et al. (eds), Oxford University Press
55-79
(2008).
[Abstract, PDF, bibtex]
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[24]
Fluctuation Theory of Connectivities for Subcritical Random Cluster Models
M. Campanino, D. Ioffe and Y. Velenik
Ann. Probab.
36,
1287-1321
(2008).
[Abstract, PDF, Published version, bibtex, slides]
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[23]
Localization and Delocalization of Random Interfaces
Y. Velenik
Probab. Surv.
3,
112-169
(2006).
[Abstract, Published version, bibtex]
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[22]
A Note on Domino Shuffling
É. Janvresse, T. de la Rue and Y. Velenik
Electron. J. Combin.
13
(1),
R30,
(2006).
[Abstract, PDF, Published version, errata, bibtex]
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[21]
Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System
D. Ioffe, Y. Velenik and M. Zahradnàk
J. Stat. Phys.
122, no. 4,
761-786
(2006).
[Abstract, PDF, published version, bibtex, slides]
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[20]
Pinning by a Sparse Potential
É. Janvresse, T. de la Rue and Y. Velenik
Stoch. Proc. Appl.
115,
No 8,
1323-1331
(2005).
[Abstract, PDF, Published version, bibtex]
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[19]
Self-Similar Corrections to the Ergodic Theorem for the Pascal-Adic Transformation
É. Janvresse, T. de la Rue and Y. Velenik
Stoch. Dyn.
5,
No 1,
1-25
(2005).
[Abstract, PDF, Published version, bibtex,
slides,
slides+comments]
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[18]
Universality of Critical Behaviour in a Class of Recurrent Random Walks
O. Hryniv and Y. Velenik
Probab. Theory Relat. Fields
130,
222-258
(2004).
[Abstract, PDF, Published version, bibtex]
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[17]
Entropic Repulsion of an Interface in an External Field
Y. Velenik
Probab. Theory Relat. Fields
129,
83-112
(2004).
[Abstract, PDF, Published version, bibtex]
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[16]
Random Path Representation and Sharp Correlations Asymptotics at High-Temperatures
M. Campanino, D. Ioffe and Y. Velenik
Stochastic Analysis on Large Scale Interacting Systems, Advanced Studies in Pure Mathematics
39
(T. Funaki and H. Osada ed.),
29-52
(2004).
[Abstract, PDF, bibtex]
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[15]
Rigorous Non-Perturbative Ornstein-Zernike Theory for Ising Ferromagnets
M. Campanino, D. Ioffe and Y. Velenik
Europhys. Lett.
62,
no. 2,
182-188
(2003).
[Abstract, PDF, Published version, bibtex]
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[14]
Ornstein-Zernike Theory for Finite-Range Ising Models Above $T_{\rm c}$
M. Campanino, D. Ioffe and Y. Velenik
Probab. Theory Relat. Fields
125
305-349
(2003).
[Abstract, PDF, Published version, bibtex]
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[13]
2D Models of Statistical Physics with Continuous Symmetry: The Case of Singular Interactions
D. Ioffe, S. Shlosman and Y. Velenik
Commun. Math. Phys.
226,
433-454
(2002).
[Abstract, PDF, Published version, bibtex]
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[12]
Winterbottom Construction for Finite-Range Ferromagnetic Models: an $L_1$ Approach
T. Bodineau, D. Ioffe and Y. Velenik
J. Stat. Phys.
105,
93-131
(2001).
[Abstract, PDF, Published version, bibtex]
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[11]
Critical Behavior of the Massless Free Field at the Depinning Transition
E. Bolthausen and Y. Velenik
Commun. Math. Phys.
223,
161-203
(2001).
[Abstract, PDF, Published version, bibtex]
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[10]
On Entropic Reduction of Fluctuations
T. Bodineau, G. Giacomin and Y. Velenik
J. Stat. Phys.
102,
1439-1445
(2001).
[Abstract, PDF, Published version, bibtex]
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[9]
A Note on Wetting Transition for Gradient Fields
P. Caputo and Y. Velenik
Stoch. Proc. Appl.
87,
107-113
(2000).
[Abstract, PDF, Published version, bibtex]
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[8]
Rigorous Probabilistic Analysis of Equilibrium Crystal Shapes
T. Bodineau, D. Ioffe and Y. Velenik
J. Math. Phys.
41,
1033-1098
(2000).
[Abstract, PDF, Published version, bibtex]
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[7]
A Note on the Decay of Correlations Under δ-Pinning
D. Ioffe and Y. Velenik
Probab. Theory Relat. Fields
116,
379-389
(2000).
[Abstract, PDF, Published version, bibtex]
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[6]
Non-Gaussian Surface Pinned by a Weak Potential
J.-D. Deuschel and Y. Velenik
Probab. Theory Relat. Fields
116,
359-377
(2000).
[Abstract,PDF, Published version, bibtex]
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[5]
Macroscopic Description of Phase Separation in the 2D Ising Model
C.-E. Pfister and Y. Velenik
in Mathematical Results in Statistical Mechanics, S. Miracle-Sole, J. Ruiz and V. Zagrebnov eds., World Scientific,
121-135
(1999).
[Abstract, PDF, bibtex]
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[4]
Interface, Surface Tension and Reentrant Pinning Transition in the 2D Ising model
C.-E. Pfister and Y. Velenik
Commun. Math. Phys.
204,
269-312
(1999).
[Abstract, PDF, Published version, bibtex]
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[3]
Large Deviations and Continuum Limit in the 2D Ising Model
C.-E. Pfister and Y. Velenik
Probab. Theory Relat. Fields
109,
435-506
(1997).
[Abstract, PDF, Published version, bibtex]
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[2]
Random-Cluster Representation of the Ashkin-Teller Model
C.-E. Pfister and Y. Velenik
J. Stat. Phys.
88,
1295-1331
(1997).
[Abstract, PDF, Published version, bibtex]
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[1]
Mathematical Theory of the Wetting Phenomenon in the 2D Ising Model
C.-E. Pfister and Y. Velenik
Helv. Phys. Acta
69,
949-973
(1996).
[Abstract, PDF, Published version, bibtex]
Popularization
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Petite collection d'informations utiles pour collectionneur compulsif (popularization; in french)
S. Sardy and Y. Velenik
Images des Mathématiques, CNRS
(2010).
[URL]
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Paninimania: sticker rarity and cost-effective strategy (popularization)
S. Sardy and Y. Velenik
Swiss Statistical Society, Bulletin nr.
66
(2010),
2-6.
[PDF, Published version]
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La loi de Benford (popularization; in french)
É. Janvresse, T. de la Rue and Y. Velenik
Poster
(2005).
[PDF]
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Le phénomène du cercle arctique (popularization; in french)
É. Janvresse, T. de la Rue and Y. Velenik
Poster
(2005).
[PDF]
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Savez-vous jouer aux choux ? (popularization; in french)
É. Janvresse, T. de la Rue and Y. Velenik
Tangente
105
(2005).
-
Les Brisures de Symétrie (popularization; in french)
É. Janvresse and Y. Velenik
Tangente
85
(2002).
Other
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Le modèle d'Ising,
lecture notes (in french) for a course given at the University of Geneva (master level),
2008-2009.
[file]
-
Introduction aux champs aléatoires markoviens et gibbsiens,
lecture notes (in french) for a course given at the University of Geneva (master level),
2006-2007.
[file]
-
Habilitation à Diriger des Recherches,
Université de Provence
(Nov. 2003).
[PDF]
-
PhD thesis,
ÉPF-L
1712
(1997).
[PDF. Errata: PDF]
Links to coauthors
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Yacine Aoun (Université de Genève, Switzerland)
-
Vincent Beffara (Université Joseph Fourier, Grenoble, France)
-
Volker Betz (Technische Universität Darmstadt, Germany)
-
Thierry Bodineau (École Polytechnique, France)
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Erwin Bolthausen (Universität Zürich, Switzerland)
-
Massimo Campanino (Università di Bologna, Italy)
-
Pietro Caputo (Università Roma 3, Italy)
-
Loren Coquille (Université Joseph Fourier, Grenoble, France)
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Jean-Dominique Deuschel (TU Berlin, Germany)
-
Hugo Duminil-Copin (Université de Genève, Switzerland)
-
Sacha Friedli (UFMG, Brazil)
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Maxime Gagnebin (Université de Genève, Switzerland)
-
Giambattista Giacomin (Université Paris 7, France)
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Ostap Hryniv (Durham University, UK)
-
Dima Ioffe (Technion, Israel)
-
Élise Janvresse (Université de Picardie, France)
-
Sébastien Ott (Université de Fribourg, Switzerland)
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Charles Pfister (ÉPF-L, Switzerland).
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Thierry de la Rue (Université de Rouen, France)
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Senya Shlosman (CPT, Luminy, France)
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Daniel Ueltschi (University of Warwick, UK)
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Vitali Wachtel (Universität Augsburg, Germany)
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Miloš Zahradník (Charles University, Prague, Czech Republic)