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

[52] Fixed-magnetization Ising model with a slowly varying magnetic field Y. Aoun, S. Ott and Y. Velenik J. Stat. Phys. 191, 125 (2024). [Abstract, PDF, Published version, bibtex]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[26] Wetting of Gradient Fields: Pathwise Estimates Y. Velenik Probab. Theory Relat. Fields 143, 379-399 (2009). [Abstract, PDF, Published version, bibtex]
[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]
[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]
[23] Localization and Delocalization of Random Interfaces Y. Velenik Probab. Surv. 3, 112-169 (2006). [Abstract, Published version, bibtex]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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]
[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

Petite collection d'informations utiles pour collectionneur compulsif (popularization; in french) S. Sardy and Y. Velenik Images des Mathématiques, CNRS (2010). [URL]
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]
La loi de Benford (popularization; in french) É. Janvresse, T. de la Rue and Y. Velenik Poster (2005). [PDF]
Le phénomène du cercle arctique (popularization; in french) É. Janvresse, T. de la Rue and Y. Velenik Poster (2005). [PDF]
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

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

Yacine Aoun (Université de Genève, Switzerland)
Vincent Beffara (Université Joseph Fourier, Grenoble, France)
Volker Betz (Technische Universität Darmstadt, Germany)
Thierry Bodineau (École Polytechnique, France)
Erwin Bolthausen (Universität Zürich, Switzerland)
Massimo Campanino (Università di Bologna, Italy)
Pietro Caputo (Università Roma 3, Italy)
Loren Coquille (Université Joseph Fourier, Grenoble, France)
Jean-Dominique Deuschel (TU Berlin, Germany)
Hugo Duminil-Copin (Université de Genève, Switzerland)
Sacha Friedli (UFMG, Brazil)
Maxime Gagnebin (Université de Genève, Switzerland)
Giambattista Giacomin (Université Paris 7, France)
Ostap Hryniv (Durham University, UK)
Dima Ioffe (Technion, Israel)
Élise Janvresse (Université de Picardie, France)
Sébastien Ott (Université de Fribourg, Switzerland)
Charles Pfister (ÉPF-L, Switzerland).
Thierry de la Rue (Université de Rouen, France)
Senya Shlosman (CPT, Luminy, France)
Daniel Ueltschi (University of Warwick, UK)
Vitali Wachtel (Universität Augsburg, Germany)
Miloš Zahradník (Charles University, Prague, Czech Republic)