Ioffe, Dmitry; Ott, Sébastien; Shlosman, Senya; Velenik, Yvan Critical prewetting in the 2d Ising model. (English) Zbl 1502.60156 Ann. Probab. 50, No. 3, 1127-1172 (2022). MSC: 60K35 82B20 82B24 PDFBibTeX XMLCite \textit{D. Ioffe} et al., Ann. Probab. 50, No. 3, 1127--1172 (2022; Zbl 1502.60156) Full Text: DOI arXiv
Aoun, Yacine; Ioffe, Dmitry; Ott, Sébastien; Velenik, Yvan Non-analyticity of the correlation length in systems with exponentially decaying interactions. (English) Zbl 1469.82006 Commun. Math. Phys. 386, No. 1, 433-467 (2021). MSC: 82B20 PDFBibTeX XMLCite \textit{Y. Aoun} et al., Commun. Math. Phys. 386, No. 1, 433--467 (2021; Zbl 1469.82006) Full Text: DOI arXiv
Ioffe, Dmitry; Ott, Sébastien; Velenik, Yvan; Wachtel, Vitali Invariance principle for a Potts interface along a wall. (English) Zbl 1450.60060 J. Stat. Phys. 180, No. 1-6, 832-861 (2020). MSC: 60K35 60F17 82B20 82B44 PDFBibTeX XMLCite \textit{D. Ioffe} et al., J. Stat. Phys. 180, No. 1--6, 832--861 (2020; Zbl 1450.60060) Full Text: DOI arXiv
Ott, Sébastien; Velenik, Yvan Asymptotics of even-even correlations in the Ising model. (English) Zbl 1422.60161 Probab. Theory Relat. Fields 175, No. 1-2, 309-340 (2019). MSC: 60K35 82B20 82B41 PDFBibTeX XMLCite \textit{S. Ott} and \textit{Y. Velenik}, Probab. Theory Relat. Fields 175, No. 1--2, 309--340 (2019; Zbl 1422.60161) Full Text: DOI arXiv
Ioffe, D.; Velenik, Y. Low-temperature interfaces: prewetting, layering, faceting and Ferrari-Spohn diffusions. (English) Zbl 1414.60079 Markov Process. Relat. Fields 24, No. 3, 487-537 (2018). MSC: 60K35 82B20 82B41 60F17 60G60 PDFBibTeX XMLCite \textit{D. Ioffe} and \textit{Y. Velenik}, Markov Process. Relat. Fields 24, No. 3, 487--537 (2018; Zbl 1414.60079) Full Text: arXiv
Ott, Sébastien; Velenik, Yvan Potts models with a defect line. (English) Zbl 1398.82030 Commun. Math. Phys. 362, No. 1, 55-106 (2018). Reviewer: E. Ahmed (Mansoura) MSC: 82B43 60K35 82B20 82B27 82D40 PDFBibTeX XMLCite \textit{S. Ott} and \textit{Y. Velenik}, Commun. Math. Phys. 362, No. 1, 55--106 (2018; Zbl 1398.82030) Full Text: DOI arXiv
Ioffe, Dmitry; Velenik, Yvan; Wachtel, Vitali Dyson Ferrari-Spohn diffusions and ordered walks under area tilts. (English) Zbl 1405.60146 Probab. Theory Relat. Fields 170, No. 1-2, 11-47 (2018). MSC: 60K35 60F17 82B20 82B41 PDFBibTeX XMLCite \textit{D. Ioffe} et al., Probab. Theory Relat. Fields 170, No. 1--2, 11--47 (2018; Zbl 1405.60146) Full Text: DOI arXiv
Friedli, Sacha; Velenik, Yvan Statistical mechanics of lattice systems. A concrete mathematical introduction. (English) Zbl 1407.82001 Cambridge: Cambridge University Press (ISBN 978-1-107-18482-4/hbk; 978-1-316-88260-3/ebook). xix, 622 p. (2018). MSC: 82-01 82B20 00A79 PDFBibTeX XMLCite \textit{S. Friedli} and \textit{Y. Velenik}, Statistical mechanics of lattice systems. A concrete mathematical introduction. Cambridge: Cambridge University Press (2018; Zbl 1407.82001) Full Text: DOI
Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan A quantitative Burton-Keane estimate under strong FKG condition. (English) Zbl 1357.60109 Ann. Probab. 44, No. 5, 3335-3356 (2016). Reviewer: Arvind Ayyer (Bangalore) MSC: 60K35 82B43 82B20 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Probab. 44, No. 5, 3335--3356 (2016; Zbl 1357.60109) Full Text: DOI arXiv Euclid
Ioffe, Dmitry; Shlosman, Senya; Velenik, Yvan An invariance principle to Ferrari-Spohn diffusions. (English) Zbl 1323.60055 Commun. Math. Phys. 336, No. 2, 905-932 (2015). Reviewer: Heinrich Hering (Rockenberg) MSC: 60F17 60J60 60G60 60G50 60K35 46N30 62P35 82B20 82B24 82B27 PDFBibTeX XMLCite \textit{D. Ioffe} et al., Commun. Math. Phys. 336, No. 2, 905--932 (2015; Zbl 1323.60055) Full Text: DOI arXiv
Gagnebin, Maxime; Velenik, Yvan Upper bound on the decay of correlations in a general class of \(\mathrm{O}(N)\)-symmetric models. (English) Zbl 1305.82015 Commun. Math. Phys. 332, No. 3, 1235-1255 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 82B20 82B41 60G50 PDFBibTeX XMLCite \textit{M. Gagnebin} and \textit{Y. Velenik}, Commun. Math. Phys. 332, No. 3, 1235--1255 (2014; Zbl 1305.82015) Full Text: DOI arXiv
Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\). (English) Zbl 1288.82008 Probab. Theory Relat. Fields 158, No. 1-2, 477-512 (2014). MSC: 82B20 82B24 60K35 PDFBibTeX XMLCite \textit{L. Coquille} et al., Probab. Theory Relat. Fields 158, No. 1--2, 477--512 (2014; Zbl 1288.82008) Full Text: DOI arXiv
Ioffe, Dmitry; Velenik, Yvan An almost sure CLT for stretched polymers. (English) Zbl 1286.60026 Electron. J. Probab. 18, Paper No. 97, 20 p. (2013). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60F05 60K35 82B41 82B44 82D60 PDFBibTeX XMLCite \textit{D. Ioffe} and \textit{Y. Velenik}, Electron. J. Probab. 18, Paper No. 97, 20 p. (2013; Zbl 1286.60026) Full Text: DOI arXiv
Friedli, S.; Ioffe, D.; Velenik, Y. Subcritical percolation with a line of defects. (English) Zbl 1401.60177 Ann. Probab. 41, No. 3B, 2013-2046 (2013). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{S. Friedli} et al., Ann. Probab. 41, No. 3B, 2013--2046 (2013; Zbl 1401.60177) Full Text: DOI arXiv Euclid
Ioffe, Dmitry; Velenik, Yvan Stretched polymers in random environment. (English) Zbl 1251.82070 Deuschel, Jean-Dominique (ed.) et al., Probability in complex physical systems. In honour of Erwin Bolthausen and Jürgen Gärtner. Selected papers based on the presentations at the two 2010 workshops. Berlin: Springer (ISBN 978-3-642-23810-9/hbk; 978-3-642-23811-6/ebook). Springer Proceedings in Mathematics 11, 339-369 (2012). MSC: 82D60 82B41 60K37 60F10 82B27 60F05 PDFBibTeX XMLCite \textit{D. Ioffe} and \textit{Y. Velenik}, Springer Proc. Math. 11, 339--369 (2012; Zbl 1251.82070) Full Text: DOI arXiv
Coquille, Loren; Velenik, Yvan A finite-volume version of Aizenman-Higuchi theorem for the 2D Ising model. (English) Zbl 1246.82013 Probab. Theory Relat. Fields 153, No. 1-2, 25-44 (2012). MSC: 82B20 60K35 PDFBibTeX XMLCite \textit{L. Coquille} and \textit{Y. Velenik}, Probab. Theory Relat. Fields 153, No. 1--2, 25--44 (2012; Zbl 1246.82013) Full Text: DOI arXiv
Ioffe, Dmitry; Velenik, Yvan Crossing random walks and stretched polymers at weak disorder. (English) Zbl 1251.60074 Ann. Probab. 40, No. 2, 714-742 (2012). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{D. Ioffe} and \textit{Y. Velenik}, Ann. Probab. 40, No. 2, 714--742 (2012; Zbl 1251.60074) Full Text: DOI arXiv Euclid
Ioffe, Dmitry; Velenik, Yvan Random walks in attractive potentials: the case of critical drifts. (English) Zbl 1477.60138 Actes Rencontres C.I.R.M. 2, No. 1, 11-13 (2010). MSC: 60K35 82B41 82B43 PDFBibTeX XMLCite \textit{D. Ioffe} and \textit{Y. Velenik}, Actes Rencontres C.I.R.M. 2, No. 1, 11--13 (2010; Zbl 1477.60138) Full Text: DOI Link
Ioffe, Dmitry; Velenik, Yvan The statistical mechanics of stretched polymers. (English) Zbl 1195.82107 Braz. J. Probab. Stat. 24, No. 2, 279-299 (2010). MSC: 82D60 82B44 82B26 PDFBibTeX XMLCite \textit{D. Ioffe} and \textit{Y. Velenik}, Braz. J. Probab. Stat. 24, No. 2, 279--299 (2010; Zbl 1195.82107) Full Text: DOI arXiv
Hryniv, O.; Velenik, Y. Some rigorous results on semiflexible polymers. I: Free and confined polymers. (English) Zbl 1176.60083 Stochastic Processes Appl. 119, No. 10, 3081-3100 (2009). MSC: 60K35 82B41 82D60 PDFBibTeX XMLCite \textit{O. Hryniv} and \textit{Y. Velenik}, Stochastic Processes Appl. 119, No. 10, 3081--3100 (2009; Zbl 1176.60083) Full Text: DOI arXiv
Velenik, Yvan Wetting of gradient fields: pathwise estimates. (English) Zbl 1163.60048 Probab. Theory Relat. Fields 143, No. 3-4, 379-399 (2009). MSC: 60K35 82B41 PDFBibTeX XMLCite \textit{Y. Velenik}, Probab. Theory Relat. Fields 143, No. 3--4, 379--399 (2009; Zbl 1163.60048) Full Text: DOI arXiv Link
Ioffe, Dmitry; Velenik, Yvan Ballistic phase of self-interacting random walks. (English) Zbl 1255.60168 Mörters, Peter (ed.) et al., Analysis and stochastics of growth processes and interface models. Selected papers based on the presentations at a regional meeting of the London Mathematical Society and a workshop on ‘Analysis and stochastics of growth processes’, Bath, UK, September 11–15, 2006. Oxford: Oxford University Press (ISBN 978-0-19-923925-2/hbk). 55-79 (2008). MSC: 60K35 82B31 82B41 PDFBibTeX XMLCite \textit{D. Ioffe} and \textit{Y. Velenik}, in: Analysis and stochastics of growth processes and interface models. Selected papers based on the presentations at a regional meeting of the London Mathematical Society and a workshop on `Analysis and stochastics of growth processes', Bath, UK, September 11--15, 2006. Oxford: Oxford University Press. 55--79 (2008; Zbl 1255.60168) Full Text: DOI arXiv
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan Fluctuation theory of connectivities for subcritical random cluster models. (English) Zbl 1160.60026 Ann. Probab. 36, No. 4, 1287-1321 (2008). Reviewer: Anton Bovier (Bonn) MSC: 60K35 60F15 82B41 PDFBibTeX XMLCite \textit{M. Campanino} et al., Ann. Probab. 36, No. 4, 1287--1321 (2008; Zbl 1160.60026) Full Text: DOI arXiv
Velenik, Yvan Localization and delocalization of random interfaces. (English) Zbl 1189.82051 Probab. Surv. 3, 112-169 (2006). MSC: 82B41 60K35 82B24 82B27 82-02 PDFBibTeX XMLCite \textit{Y. Velenik}, Probab. Surv. 3, 112--169 (2006; Zbl 1189.82051) Full Text: DOI arXiv EuDML
Ioffe, D.; Velenik, Y.; Zahradník, M. Entropy-driven phase transition in a polydisperse hard-rods lattice system. (English) Zbl 1149.82316 J. Stat. Phys. 122, No. 4, 761-786 (2006). MSC: 82B26 60K35 82D30 PDFBibTeX XMLCite \textit{D. Ioffe} et al., J. Stat. Phys. 122, No. 4, 761--786 (2006; Zbl 1149.82316) Full Text: DOI arXiv Link
Janvresse, É.; de la Rue, T.; Velenik, Y. Pinning by a sparse potential. (English) Zbl 1079.60077 Stochastic Processes Appl. 115, No. 8, 1323-1331 (2005). Reviewer: Daniel Boivin (Brest) MSC: 60K35 60K37 82B41 PDFBibTeX XMLCite \textit{É. Janvresse} et al., Stochastic Processes Appl. 115, No. 8, 1323--1331 (2005; Zbl 1079.60077) Full Text: DOI arXiv Link
Hryniv, O.; Velenik, Y. Universality of critical behaviour in a class of recurrent random walks. (English) Zbl 1078.60034 Probab. Theory Relat. Fields 130, No. 2, 222-258 (2004). MSC: 60G50 60K35 82B27 82B41 PDFBibTeX XMLCite \textit{O. Hryniv} and \textit{Y. Velenik}, Probab. Theory Relat. Fields 130, No. 2, 222--258 (2004; Zbl 1078.60034) Full Text: DOI arXiv Link
Velenik, Y. Entropic repulsion of an interface in an external field. (English) Zbl 1078.60088 Probab. Theory Relat. Fields 129, No. 1, 83-112 (2004). MSC: 60K35 82B41 82B27 82B24 PDFBibTeX XMLCite \textit{Y. Velenik}, Probab. Theory Relat. Fields 129, No. 1, 83--112 (2004; Zbl 1078.60088) Full Text: DOI arXiv Link
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan Ornstein-Zernike theory for finite range Ising models above \(T_c\). (English) Zbl 1032.60093 Probab. Theory Relat. Fields 125, No. 3, 305-349 (2003). Reviewer: N.N.Ganikhodjaev (Tashkent) MSC: 60K35 60F15 82B20 37C30 PDFBibTeX XMLCite \textit{M. Campanino} et al., Probab. Theory Relat. Fields 125, No. 3, 305--349 (2003; Zbl 1032.60093) Full Text: DOI arXiv
Campanino, M.; Ioffe, D.; Velenik, Y. Rigorous Non-Perturbative Ornstein-Zernike Theory for Ising Ferromagnets. arXiv:math/0304349 Preprint, arXiv:math/0304349 [math.PR] (2003). MSC: 60F15 60K35 82B20 BibTeX Cite \textit{M. Campanino} et al., ``Rigorous Non-Perturbative Ornstein-Zernike Theory for Ising Ferromagnets'', Preprint, arXiv:math/0304349 [math.PR] (2003) Full Text: DOI arXiv
Ioffe, D.; Shlosman, S.; Velenik, Y. 2D models of statistical physics with continuous symmetry: The case of singular interactions. (English) Zbl 0990.82004 Commun. Math. Phys. 226, No. 2, 433-454 (2002). MSC: 82B20 PDFBibTeX XMLCite \textit{D. Ioffe} et al., Commun. Math. Phys. 226, No. 2, 433--454 (2002; Zbl 0990.82004) Full Text: DOI arXiv Link
Bolthausen, Erwin; Velenik, Yvan Critical behavior of the massless free field at the depinning transition. (English) Zbl 0992.82011 Commun. Math. Phys. 223, No. 1, 161-203 (2001). Reviewer: Yuri Kozitsky (Lublin) MSC: 82B27 81T25 82B24 PDFBibTeX XMLCite \textit{E. Bolthausen} and \textit{Y. Velenik}, Commun. Math. Phys. 223, No. 1, 161--203 (2001; Zbl 0992.82011) Full Text: DOI arXiv
Bodineau, T.; Ioffe, D.; Velenik, Y. Winterbottom construction for finite range ferromagnetic models: an \(\mathbb L_ 1\)-approach. (English) Zbl 1156.82327 J. Stat. Phys. 105, No. 1-2, 93-131 (2001). MSC: 82B20 PDFBibTeX XMLCite \textit{T. Bodineau} et al., J. Stat. Phys. 105, No. 1--2, 93--131 (2001; Zbl 1156.82327) Full Text: DOI arXiv
Bodineau, Thierry; Giacomin, Giambattista; Velenik, Yvan On entropic reduction of fluctuations. (English) Zbl 1174.82300 J. Stat. Phys. 102, No. 5-6, 1439-1445 (2001). MSC: 82B05 82B20 PDFBibTeX XMLCite \textit{T. Bodineau} et al., J. Stat. Phys. 102, No. 5--6, 1439--1445 (2001; Zbl 1174.82300) Full Text: DOI
Caputo, P.; Velenik, Y. A note on wetting transition for gradient fields. (English) Zbl 1045.60102 Stochastic Processes Appl. 87, No. 1, 107-113 (2000). Reviewer: Petr Holický (Praha) MSC: 60K35 82B24 PDFBibTeX XMLCite \textit{P. Caputo} and \textit{Y. Velenik}, Stochastic Processes Appl. 87, No. 1, 107--113 (2000; Zbl 1045.60102) Full Text: DOI arXiv
Bodineau, T.; Ioffe, D.; Velenik, Y. Rigorous probabilistic analysis of equilibrium crystal shapes. (English) Zbl 0977.82013 J. Math. Phys. 41, No. 3, 1033-1098 (2000). MSC: 82B20 82-02 82B26 PDFBibTeX XMLCite \textit{T. Bodineau} et al., J. Math. Phys. 41, No. 3, 1033--1098 (2000; Zbl 0977.82013) Full Text: DOI Link
Ioffe, Dmitry; Velenik, Yvan A note on the decay of correlations under \(\delta\)-pinning. (English) Zbl 0951.60094 Probab. Theory Relat. Fields 116, No. 3, 379-389 (2000). MSC: 60K35 82B24 82B41 PDFBibTeX XMLCite \textit{D. Ioffe} and \textit{Y. Velenik}, Probab. Theory Relat. Fields 116, No. 3, 379--389 (2000; Zbl 0951.60094) Full Text: DOI arXiv Link
Deuschel, J.-D.; Velenik, Y. Non-Gaussian surface pinned by a weak potential. (English) Zbl 0960.60095 Probab. Theory Relat. Fields 116, No. 3, 359-377 (2000). Reviewer: M.Mürmann (Heidelberg) MSC: 60K35 82B24 82B41 PDFBibTeX XMLCite \textit{J. D. Deuschel} and \textit{Y. Velenik}, Probab. Theory Relat. Fields 116, No. 3, 359--377 (2000; Zbl 0960.60095) Full Text: DOI arXiv Link
Pfister, Charles-Edouard; Velenik, Yvan Macroscopic description of phase separation in the 2D Ising model. (English) Zbl 1055.82513 Miracle-Solé, Salvador (ed.) et al., Mathematical results in statistical mechanics. Proceedings, Marseille, France, July 27–31, 1998. Singapore: World Scientific (ISBN 981-02-3863-0/hbk). 121-135 (1999). MSC: 82B24 82-02 82B20 PDFBibTeX XMLCite \textit{C.-E. Pfister} and \textit{Y. Velenik}, in: Mathematical results in statistical mechanics. Proceedings, Marseille, France, July 27--31, 1998. Singapore: World Scientific. 121--135 (1999; Zbl 1055.82513)
Pfister, C.-E.; Velenik, Y. Interface, surface tension and reentrant pinning transition in the \(2\)D Ising model. (English) Zbl 0937.82016 Commun. Math. Phys. 204, No. 2, 269-312 (1999). MSC: 82B24 82B20 82B26 60K35 PDFBibTeX XMLCite \textit{C. E. Pfister} and \textit{Y. Velenik}, Commun. Math. Phys. 204, No. 2, 269--312 (1999; Zbl 0937.82016) Full Text: DOI arXiv
Pfister, C.-E.; Velenik, Y. Random-cluster representation of the Ashkin-Teller model. (English) Zbl 0945.82531 J. Stat. Phys. 88, No. 5-6, 1295-1331 (1997). MSC: 82B43 82B20 PDFBibTeX XMLCite \textit{C. E. Pfister} and \textit{Y. Velenik}, J. Stat. Phys. 88, No. 5--6, 1295--1331 (1997; Zbl 0945.82531) Full Text: DOI arXiv
Pfister, C.-E.; Velenik, Y. Large deviations and continuum limit in the 2D Ising model. (English) Zbl 0904.60022 Probab. Theory Relat. Fields 109, No. 4, 435-506 (1997). MSC: 60F10 60G60 60K35 82B20 82B24 PDFBibTeX XMLCite \textit{C. E. Pfister} and \textit{Y. Velenik}, Probab. Theory Relat. Fields 109, No. 4, 435--506 (1997; Zbl 0904.60022) Full Text: DOI Link
Pfister, Charles-Edouard; Velenik, Yvan Mathematical theory of the wetting phenomenon in the 2D Ising model. (English) Zbl 0882.60096 Helv. Phys. Acta 69, No. 5-6, 949-973 (1996). Reviewer: M.Mürmann (Heidelberg) MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{C.-E. Pfister} and \textit{Y. Velenik}, Helv. Phys. Acta 69, No. 5--6, 949--973 (1996; Zbl 0882.60096) Full Text: arXiv