Bovier, Anton; Hartung, Lisa Branching Brownian motion with self-repulsion. (English) Zbl 1510.60079 Ann. Henri Poincaré 24, No. 3, 931-956 (2023). MSC: 60J80 60J65 60G70 82B44 35K57 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{L. Hartung}, Ann. Henri Poincaré 24, No. 3, 931--956 (2023; Zbl 1510.60079) Full Text: DOI arXiv
Bovier, Anton; den Hollander, Frank; Marello, Saeda Metastability for Glauber dynamics on the complete graph with coupling disorder. (English) Zbl 1494.60094 Commun. Math. Phys. 392, No. 1, 307-345 (2022). MSC: 60K35 82C44 PDFBibTeX XMLCite \textit{A. Bovier} et al., Commun. Math. Phys. 392, No. 1, 307--345 (2022; Zbl 1494.60094) Full Text: DOI arXiv
Bovier, Anton; Hollander, Frank den; Marello, Saeda; Pulvirenti, Elena; Slowik, Martin Metastability of Glauber dynamics with inhomogeneous coupling disorder. arXiv:2209.09827 Preprint, arXiv:2209.09827 [math.PR] (2022). MSC: 60K35 60K37 82B20 82B44 82C44 BibTeX Cite \textit{A. Bovier} et al., ``Metastability of Glauber dynamics with inhomogeneous coupling disorder'', Preprint, arXiv:2209.09827 [math.PR] (2022) Full Text: arXiv OA License
Bovier, Anton; Schertzer, Adrien Fluctuations of the free energy in p-spin SK models on two scales. arXiv:2205.15080 Preprint, arXiv:2205.15080 [math.PR] (2022). MSC: 82C44 60K35 BibTeX Cite \textit{A. Bovier} and \textit{A. Schertzer}, ``Fluctuations of the free energy in p-spin SK models on two scales'', Preprint, arXiv:2205.15080 [math.PR] (2022) Full Text: arXiv OA License
Bovier, Anton; Marello, Saeda; Pulvirenti, Elena Metastability for the dilute Curie-Weiss model with Glauber dynamics. (English) Zbl 1469.60308 Electron. J. Probab. 26, Paper No. 47, 38 p. (2021). MSC: 60K35 60K37 82B20 82B44 PDFBibTeX XMLCite \textit{A. Bovier} et al., Electron. J. Probab. 26, Paper No. 47, 38 p. (2021; Zbl 1469.60308) Full Text: DOI arXiv
Bovier, Anton; Ioffe, Dmitry; Müller, Patrick The hydrodynamic limit for local mean-field dynamics with unbounded spins. (English) Zbl 1401.35291 J. Stat. Phys. 172, No. 2, 434-457 (2018). MSC: 35Q83 35R60 60H15 60J80 60G70 82B44 PDFBibTeX XMLCite \textit{A. Bovier} et al., J. Stat. Phys. 172, No. 2, 434--457 (2018; Zbl 1401.35291) Full Text: DOI arXiv
Bovier, A.; Geldhauser, C. The scaling limit of a particle system with long-range interaction. (English) Zbl 1388.60106 Markov Process. Relat. Fields 23, No. 4, 515-552 (2017). MSC: 60H15 35K57 82C44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{C. Geldhauser}, Markov Process. Relat. Fields 23, No. 4, 515--552 (2017; Zbl 1388.60106) Full Text: arXiv
Bovier, Anton; Hartung, Lisa Extended convergence of the extremal process of branching Brownian motion. (English) Zbl 1373.60145 Ann. Appl. Probab. 27, No. 3, 1756-1777 (2017). MSC: 60J80 60J65 60G70 60G15 60G55 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{L. Hartung}, Ann. Appl. Probab. 27, No. 3, 1756--1777 (2017; Zbl 1373.60145) Full Text: DOI arXiv
Bovier, Anton Gaussian processes on trees. From spin glasses to branching Brownian motion. (English) Zbl 1378.60004 Cambridge Studies in Advanced Mathematics 163. Cambridge: Cambridge University Press (ISBN 978-1-107-16049-1/hbk; 978-1-316-67577-9/ebook). x, 200 p. (2017). Reviewer: Jordan M. Stoyanov (Sofia) MSC: 60-02 60G15 60J65 60J80 82D30 PDFBibTeX XMLCite \textit{A. Bovier}, Gaussian processes on trees. From spin glasses to branching Brownian motion. Cambridge: Cambridge University Press (2017; Zbl 1378.60004) Full Text: DOI
Bovier, Anton From spin glasses to branching Brownian motion – and back? (English) Zbl 1337.60210 Biskup, Marek (ed.) et al., Random walks, random fields, and disordered systems. Cham: Springer (ISBN 978-3-319-19338-0/pbk; 978-3-319-19339-7/ebook). Lecture Notes in Mathematics 2144, 1-64 (2015). MSC: 60J80 60J65 82D30 60-01 PDFBibTeX XMLCite \textit{A. Bovier}, Lect. Notes Math. 2144, 1--64 (2015; Zbl 1337.60210) Full Text: DOI
Bovier, Anton; Brydges, David; Coja-Oghlan, Amin; Ioffe, Dmitry; Lawler, Gregory F. Biskup, Marek (ed.); Černý, Jiří (ed.); Kotecký, Roman (ed.) Random walks, random fields, and disordered systems. (English) Zbl 1335.60003 Lecture Notes in Mathematics 2144. Cham: Springer (ISBN 978-3-319-19338-0/pbk; 978-3-319-19339-7/ebook). xiii, 239 p. (2015). MSC: 60-06 60G60 60J85 60K35 60K05 82D30 82B41 00B25 PDFBibTeX XMLCite \textit{A. Bovier} et al., Random walks, random fields, and disordered systems. Cham: Springer (2015; Zbl 1335.60003) Full Text: DOI
Bovier, Anton; Hartung, Lisa Variable speed branching Brownian motion. I: Extremal processes in the weak correlation regime. (English) Zbl 1321.60173 ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 261-291 (2015). MSC: 60J80 60G70 60J65 60G15 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{L. Hartung}, ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 261--291 (2015; Zbl 1321.60173) Full Text: arXiv Link
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola An ergodic theorem for the extremal process of branching Brownian motion. (English. French summary) Zbl 1315.60063 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 557-569 (2015). MSC: 60G70 60J80 60K35 82B44 PDFBibTeX XMLCite \textit{L.-P. Arguin} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 557--569 (2015; Zbl 1315.60063) Full Text: DOI arXiv Euclid
Bovier, Anton; Neukirch, Rebecca A note on metastable behaviour in the zero-range process. (English) Zbl 1325.60153 Griebel, Michael (ed.), Singular phenomena and scaling in mathematical models. Cham: Springer (ISBN 978-3-319-00785-4/hbk; 978-3-319-00786-1/ebook). 69-90 (2014). MSC: 60K35 82B26 82C20 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{R. Neukirch}, in: Singular phenomena and scaling in mathematical models. Cham: Springer. 69--90 (2014; Zbl 1325.60153) Full Text: DOI
Bovier, Anton; Hartung, Lisa Bärbel The extremal process of two-speed branching Brownian motion. (English) Zbl 1288.60108 Electron. J. Probab. 19, Paper No. 18, 28 p. (2014). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60J80 60J70 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{L. B. Hartung}, Electron. J. Probab. 19, Paper No. 18, 28 p. (2014; Zbl 1288.60108) Full Text: DOI arXiv
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola An ergodic theorem for the frontier of branching Brownian motion. (English) Zbl 1286.60082 Electron. J. Probab. 18, Paper No. 53, 25 p. (2013). MSC: 60J80 60G70 82B44 PDFBibTeX XMLCite \textit{L.-P. Arguin} et al., Electron. J. Probab. 18, Paper No. 53, 25 p. (2013; Zbl 1286.60082) Full Text: DOI arXiv
Bovier, Anton; Gayrard, Véronique; Švejda, Adéla Convergence to extremal processes in random environments and extremal ageing in SK models. (English) Zbl 1284.82048 Probab. Theory Relat. Fields 157, No. 1-2, 251-283 (2013). Reviewer: Feng-Yu Wang (Swansea) MSC: 82C44 60K35 60G70 82D30 PDFBibTeX XMLCite \textit{A. Bovier} et al., Probab. Theory Relat. Fields 157, No. 1--2, 251--283 (2013; Zbl 1284.82048) Full Text: DOI arXiv
Bovier, Anton; Gayrard, Véronique Convergence of clock processes in random environments and ageing in the \(p\)-spin SK model. (English) Zbl 1267.82114 Ann. Probab. 41, No. 2, 817-847 (2013). MSC: 82C44 60K35 60G70 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, Ann. Probab. 41, No. 2, 817--847 (2013; Zbl 1267.82114) Full Text: DOI arXiv Euclid
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola Poissonian statistics in the extremal process of branching Brownian motion. (English) Zbl 1255.60152 Ann. Appl. Probab. 22, No. 4, 1693-1711 (2012). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 60J80 60G70 82B44 PDFBibTeX XMLCite \textit{L.-P. Arguin} et al., Ann. Appl. Probab. 22, No. 4, 1693--1711 (2012; Zbl 1255.60152) Full Text: DOI arXiv Euclid
Bovier, Anton Metastability: from mean field models to SPDEs. (English) Zbl 1251.82042 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, 443-462 (2012). MSC: 82C26 82B26 82C31 82C20 60H15 PDFBibTeX XMLCite \textit{A. Bovier}, Springer Proc. Math. 11, 443--462 (2012; Zbl 1251.82042) Full Text: DOI
Bovier, Anton Statistical mechanics of disordered systems. A mathematical perspective. Reprint of the 2006 hardback ed. (English) Zbl 1246.82001 Cambridge: Cambridge University Press (ISBN 978-1-107-40533-2/pbk; 978-0-511-16664-8/ebook). xiv, 312 p. (2012). MSC: 82-02 60K35 37L55 82B31 82B44 82B20 82B05 PDFBibTeX XMLCite \textit{A. Bovier}, Statistical mechanics of disordered systems. A mathematical perspective. Reprint of the 2006 hardback ed. Cambridge: Cambridge University Press (2012; Zbl 1246.82001) Full Text: DOI
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry Pointwise estimates and exponential laws in metastable systems via coupling methods. (English) Zbl 1237.82039 Ann. Probab. 40, No. 1, 339-371 (2012). Reviewer: Guy Jumarie (Montréal) MSC: 82C44 60K35 60G70 PDFBibTeX XMLCite \textit{A. Bianchi} et al., Ann. Probab. 40, No. 1, 339--371 (2012; Zbl 1237.82039) Full Text: DOI arXiv
Basile, G.; Bovier, A. Convergence of a kinetic equation to a fractional diffusion equation. (English) Zbl 1198.82052 Markov Process. Relat. Fields 16, No. 1, 15-44 (2010). MSC: 82C70 82C44 60K35 60G70 82B20 PDFBibTeX XMLCite \textit{G. Basile} and \textit{A. Bovier}, Markov Process. Relat. Fields 16, No. 1, 15--44 (2010; Zbl 1198.82052) Full Text: arXiv
Barret, Florent; Bovier, Anton; Méléard, Sylvie Uniform estimates for metastable transition times in a coupled bistable system. (English) Zbl 1191.82040 Electron. J. Probab. 15, Paper No. 12, 323-345 (2010). MSC: 82C44 60K35 35Q56 PDFBibTeX XMLCite \textit{F. Barret} et al., Electron. J. Probab. 15, Paper No. 12, 323--345 (2010; Zbl 1191.82040) Full Text: DOI arXiv EuDML EMIS
Bovier, Anton; den Hollander, Frank; Spitoni, Cristian Homogeneous nucleation for Glauber and Kawasaki dynamics in large volumes at low temperatures. (English) Zbl 1193.60114 Ann. Probab. 38, No. 2, 661-713 (2010). Reviewer: Guy Jumarie (Montréal) MSC: 60K35 82C26 PDFBibTeX XMLCite \textit{A. Bovier} et al., Ann. Probab. 38, No. 2, 661--713 (2010; Zbl 1193.60114) Full Text: DOI arXiv
Bovier, Anton; Kurkova, Irina A short course on mean field spin glasses. (English) Zbl 1209.82042 Boutet de Monvel, Anne (ed.) et al., Spin glasses: Statics and dynamics, summer school, Paris, France, June 25 to July 6, 2007. Basel: Birkhäuser (ISBN 978-3-7643-8999-4/hbk; 978-3-7643-9891-0/ebook). Progress in Probability 62, 3-44 (2009). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82D30 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{I. Kurkova}, Prog. Probab. 62, 3--44 (2009; Zbl 1209.82042)
Bovier, Anton Metastability. (English) Zbl 1180.82008 Kotecký, Roman (ed.), Methods of contemporary mathematical statistical physics. Lecture notes presented at the 5th Prague summer school on mathematical statistical physics, Prague, Czech Republik, September 2006. Berlin: Springer (ISBN 978-3-540-92795-2/pbk). Lecture Notes in Mathematics 1970, 177-221 (2009). MSC: 82B05 60J05 60F10 82B26 82B20 PDFBibTeX XMLCite \textit{A. Bovier}, Lect. Notes Math. 1970, 177--221 (2009; Zbl 1180.82008) Full Text: DOI
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry Sharp asymptotics for metastability in the random field Curie-Weiss model. (English) Zbl 1186.82069 Electron. J. Probab. 14, 1541-1603 (2009). MSC: 82C44 60K35 PDFBibTeX XMLCite \textit{A. Bianchi} et al., Electron. J. Probab. 14, 1541--1603 (2009; Zbl 1186.82069) Full Text: DOI arXiv EuDML EMIS
Bovier, Anton; Klimovsky, Anton The Aizenman-Sims-Starr and Guerra’s schemes for the SK model with multidimensional spins. (English) Zbl 1205.60166 Electron. J. Probab. 14, 161-241 (2009). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 60K35 82B44 60F10 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{A. Klimovsky}, Electron. J. Probab. 14, 161--241 (2009; Zbl 1205.60166) Full Text: DOI arXiv EuDML EMIS
Boutet de Monvel, Anne (ed.); Bovier, Anton (ed.) Spin glasses: Statics and dynamics, summer school, Paris, France, June 25 to July 6, 2007. (English) Zbl 1183.82002 Progress in Probability 62. Basel: Birkhäuser (ISBN 978-3-7643-8999-4/hbk; 978-3-7643-9891-0/ebook). xii, 278 p. (2009). MSC: 82-06 82B44 00B25 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} (ed.) and \textit{A. Bovier} (ed.), Spin glasses: Statics and dynamics, summer school, Paris, France, June 25 to July 6, 2007. Basel: Birkhäuser (2009; Zbl 1183.82002) Full Text: DOI
Ben Arous, Gérard; Bovier, Anton; Černý, Jiří Universality of random energy model-like ageing in mean field spin glasses. (English) Zbl 1459.82319 J. Stat. Mech. Theory Exp. 2008, No. 4, Article ID L04003, 8 p. (2008). MSC: 82D30 60K37 82B44 82C44 PDFBibTeX XMLCite \textit{G. Ben Arous} et al., J. Stat. Mech. Theory Exp. 2008, No. 4, Article ID L04003, 8 p. (2008; Zbl 1459.82319) Full Text: DOI arXiv
Bovier, Anton; Klimovsky, Anton Fluctuations of the partition function in the generalized random energy model with external field. (English) Zbl 1159.81307 J. Math. Phys. 49, No. 12, 125202, 27 p. (2008). MSC: 82B44 60F99 60G15 60K40 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{A. Klimovsky}, J. Math. Phys. 49, No. 12, 125202, 27 p. (2008; Zbl 1159.81307) Full Text: DOI arXiv Link
Ben Arous, Gérard; Bovier, Anton; Černý, Jiří Universality of the REM for dynamics of mean-field spin glasses. (English) Zbl 1208.82024 Commun. Math. Phys. 282, No. 3, 663-695 (2008). MSC: 82B44 82D30 60K35 60G15 60G50 82B27 PDFBibTeX XMLCite \textit{G. Ben Arous} et al., Commun. Math. Phys. 282, No. 3, 663--695 (2008; Zbl 1208.82024) Full Text: DOI arXiv Link
Bovier, Anton; Faggionato, Alessandra Spectral analysis of Sinai’s walk for small eigenvalues. (English) Zbl 1154.60078 Ann. Probab. 36, No. 1, 198-254 (2008). Reviewer: Mihai Gradinaru (Rennes) MSC: 60K37 82B41 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{A. Faggionato}, Ann. Probab. 36, No. 1, 198--254 (2008; Zbl 1154.60078) Full Text: DOI arXiv Euclid
Bovier, A.; Černý, Jiří Hydrodynamic limit for the \(A+B\rightarrow \emptyset\) model. (English) Zbl 1156.82022 Markov Process. Relat. Fields 13, No. 3, 543-564 (2007). MSC: 82D30 82C41 60F17 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{J. Černý}, Markov Process. Relat. Fields 13, No. 3, 543--564 (2007; Zbl 1156.82022)
Bovier, Anton; Kurkova, Irina Local energy statistics in spin glasses. (English) Zbl 1122.82047 J. Stat. Phys. 126, No. 4-5, 933-949 (2007). Reviewer: Hiroshi Tamura (Kanazawa) MSC: 82D30 60G55 60F05 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{I. Kurkova}, J. Stat. Phys. 126, No. 4--5, 933--949 (2007; Zbl 1122.82047) Full Text: DOI HAL
Bovier, Anton; Kurkova, Irina Much ado about Derrida’s GREM. (English) Zbl 1116.82018 Bolthausen, Erwin (ed.) et al., Spin glasses. Berlin: Springer (ISBN 3-540-40902-5/pbk). Lecture Notes in Mathematics 1900, 81-115 (2007). MSC: 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{I. Kurkova}, Lect. Notes Math. 1900, 81--115 (2007; Zbl 1116.82018)
Bolthausen, Erwin (ed.); Bovier, Anton (ed.) Spin glasses. (English) Zbl 1103.82003 Lecture Notes in Mathematics 1900. Berlin: Springer (ISBN 3-540-40902-5/pbk). ix, 179 p. (2007). MSC: 82-06 00B15 82D30 82C44 PDFBibTeX XMLCite \textit{E. Bolthausen} (ed.) and \textit{A. Bovier} (ed.), Spin glasses. Berlin: Springer (2007; Zbl 1103.82003) Full Text: DOI
Bovier, Anton; Klimovsky, Anton WITHDRAWN: The Aizenman-Sims-Starr scheme for the SK model with multidimensional spins. arXiv:0711.2286 Preprint, arXiv:0711.2286 [math.PR] (2007); retraction notice ibid. MSC: 60K35 82B44 60F10 BibTeX Cite \textit{A. Bovier} and \textit{A. Klimovsky}, ``WITHDRAWN: The Aizenman-Sims-Starr scheme for the SK model with multidimensional spins'', Preprint, arXiv:0711.2286 [math.PR] (2007); retraction notice ibid. Full Text: arXiv
Bovier, Anton (ed.); Dunlop, François (ed.); van Enter, Aernout (ed.); den Hollander, Frank (ed.); Dalibart, Jean (ed.) Mathematical statistical physics. École d’Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4–29, 2005. (English) Zbl 1191.82003 Amsterdam: Elsevier (ISBN 978-0-444-52813-1/hbk). xxxii, 816 p. (2006). MSC: 82-06 60-06 PDFBibTeX XMLCite \textit{A. Bovier} (ed.) et al., Mathematical statistical physics. École d'Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4--29, 2005. Amsterdam: Elsevier (2006; Zbl 1191.82003) Full Text: Link
Bovier, Anton; Kurkova, Irina A tomography of the GREM: Beyond the REM conjecture. (English) Zbl 1104.82027 Commun. Math. Phys. 263, No. 2, 535-552 (2006). MSC: 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{I. Kurkova}, Commun. Math. Phys. 263, No. 2, 535--552 (2006; Zbl 1104.82027) Full Text: DOI arXiv
Bovier, Anton; Kurkova, Irina Local energy statistics in disordered systems: a proof of the local REM conjecture. (English) Zbl 1104.82026 Commun. Math. Phys. 263, No. 2, 513-533 (2006). MSC: 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{I. Kurkova}, Commun. Math. Phys. 263, No. 2, 513--533 (2006; Zbl 1104.82026) Full Text: DOI arXiv
Bovier, Anton Metastability: a potential theoretic approach. (English) Zbl 1099.60052 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 499-518 (2006). MSC: 60J45 82C26 PDFBibTeX XMLCite \textit{A. Bovier}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 499--518 (2006; Zbl 1099.60052)
Bovier, Anton Statistical mechanics of disordered systems. A mathematical perspective. (English) Zbl 1108.82002 Cambridge Series in Statistical and Probabilistic Mathematics 18. Cambridge: Cambridge University Press (ISBN 0-521-84991-8/hbk; 978-0-511-16664-8/ebook). xiv, 312 p. (2006). Reviewer: Piotr Garbaczewski (Opole) MSC: 82-02 60K35 37L55 82B31 82B44 82B20 82B05 PDFBibTeX XMLCite \textit{A. Bovier}, Statistical mechanics of disordered systems. A mathematical perspective. Cambridge: Cambridge University Press (2006; Zbl 1108.82002) Full Text: DOI
Bovier, A.; den Hollander, F.; Nardi, F. R. Sharp asymptotics for Kawasaki dynamics on a finite box with open boundary. (English) Zbl 1099.60066 Probab. Theory Relat. Fields 135, No. 2, 265-310 (2006). Reviewer: A. C. D. van Enter (Groningen) MSC: 60K35 82B43 82C43 82C80 82C20 82C22 60J45 60D05 PDFBibTeX XMLCite \textit{A. Bovier} et al., Probab. Theory Relat. Fields 135, No. 2, 265--310 (2006; Zbl 1099.60066) Full Text: DOI Link
Bovier, Anton; Kurkova, Irina Energy statistics in disordered systems: the local REM conjecture and beyond. (English) Zbl 1371.82048 Acta Phys. Pol. B 36, No. 9, 2621-2634 (2005). MSC: 82B44 82B20 82D30 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{I. Kurkova}, Acta Phys. Pol. B 36, No. 9, 2621--2634 (2005; Zbl 1371.82048) Full Text: arXiv Link
Bovier, Anton; Külske, Christof Coarse-graining techniques for (random) Kac models. (English) Zbl 1081.82008 Deuschel, Jean-Dominique (ed.) et al., Interacting stochastic systems. Berlin: Springer (ISBN 3-540-23033-5/hbk). 11-28 (2005). Reviewer: A. C. D. van Enter (Groningen) MSC: 82B44 82B20 82B28 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{C. Külske}, in: Interacting stochastic systems. Berlin: Springer. 11--28 (2005; Zbl 1081.82008)
Bovier, Anton; Faggionato, Alessandra Spectral characterization of aging: the REM-like trap model. (English) Zbl 1086.60064 Ann. Appl. Probab. 15, No. 3, 1997-2037 (2005). Reviewer: Daniel Boivin (Brest) MSC: 60K37 82C44 82C20 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{A. Faggionato}, Ann. Appl. Probab. 15, No. 3, 1997--2037 (2005; Zbl 1086.60064) Full Text: DOI arXiv
Bovier, Anton; Gayrard, Véronique; Klein, Markus Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues. (English) Zbl 1105.82025 J. Eur. Math. Soc. (JEMS) 7, No. 1, 69-99 (2005). MSC: 82C44 60J45 60J60 60K35 PDFBibTeX XMLCite \textit{A. Bovier} et al., J. Eur. Math. Soc. (JEMS) 7, No. 1, 69--99 (2005; Zbl 1105.82025) Full Text: DOI Link
Bovier, Anton Metastability and ageing in stochastic dynamics. (English) Zbl 1085.82011 Maass, Alejandro (ed.) et al., Dynamics and randomness II. Lectures given at the 2nd conference, Santiago, Chile, December 9–13, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1990-4/hbk). Nonlinear Phenomena and Complex Systems 10, 17-79 (2004). Reviewer: Guy Jumarie (Montréal) MSC: 82C41 60K35 PDFBibTeX XMLCite \textit{A. Bovier}, Nonlinear Phenom. Complex Syst. 10, 17--79 (2004; Zbl 1085.82011)
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times. (English) Zbl 1076.82045 J. Eur. Math. Soc. (JEMS) 6, No. 4, 399-424 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 82C44 60K35 60J45 60J60 PDFBibTeX XMLCite \textit{A. Bovier} et al., J. Eur. Math. Soc. (JEMS) 6, No. 4, 399--424 (2004; Zbl 1076.82045) Full Text: DOI Link
Bovier, A.; Merola, I.; Presutti, E.; Zahradník, M. On the Gibbs phase rule in the Pirogov-Sinai regime. (English) Zbl 1129.82304 J. Stat. Phys. 114, No. 5-6, 1235-1267 (2004). MSC: 82B26 82B05 PDFBibTeX XMLCite \textit{A. Bovier} et al., J. Stat. Phys. 114, No. 5--6, 1235--1267 (2004; Zbl 1129.82304) Full Text: DOI
Bovier, Anton; Kurkova, Irina Derrida’s generalized random energy models. II: Models with continuous hierarchies. (English) Zbl 1121.82021 Ann. Inst. Henri Poincaré, Probab. Stat. 40, No. 4, 481-495 (2004). MSC: 82B44 60G70 60K35 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{I. Kurkova}, Ann. Inst. Henri Poincaré, Probab. Stat. 40, No. 4, 481--495 (2004; Zbl 1121.82021) Full Text: DOI Numdam EuDML
Bovier, Anton; Kurkova, Irina Derrida’s generalised random energy models. I: Models with finitely many hierarchies. (English) Zbl 1121.82020 Ann. Inst. Henri Poincaré, Probab. Stat. 40, No. 4, 439-480 (2004). MSC: 82B44 60G70 60G35 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{I. Kurkova}, Ann. Inst. Henri Poincaré, Probab. Stat. 40, No. 4, 439--480 (2004; Zbl 1121.82020) Full Text: DOI Numdam EuDML
Bovier, A.; Faggionato, A. Spectral characterisation of ageing: the REM-like trap model. arXiv:math/0405222 Preprint, arXiv:math/0405222 [math.PR] (2004). MSC: 60K35 82C44 BibTeX Cite \textit{A. Bovier} and \textit{A. Faggionato}, ``Spectral characterisation of ageing: the REM-like trap model'', Preprint, arXiv:math/0405222 [math.PR] (2004) Full Text: arXiv
Bovier, A.; Kurkova, I. Rigorous results on some simple spin glass models. (English) Zbl 1031.82053 Markov Process. Relat. Fields 9, No. 2, 209-242 (2003). Reviewer: Fabio L.Toninelli (Eindhoven) MSC: 82D30 60G15 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{I. Kurkova}, Markov Process. Relat. Fields 9, No. 2, 209--242 (2003; Zbl 1031.82053) Full Text: arXiv
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique Glauber dynamics of the random energy model. II: Aging below the critical temperature. (English) Zbl 1037.82039 Commun. Math. Phys. 236, No. 1, 1-54 (2003). Reviewer: Arnaud Le Ny (Orsay) MSC: 82C44 60K35 PDFBibTeX XMLCite \textit{G. Ben Arous} et al., Commun. Math. Phys. 236, No. 1, 1--54 (2003; Zbl 1037.82039) Full Text: DOI
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique Glauber dynamics of the random energy model. I: Metastable motion on the extreme states. (English) Zbl 1037.82038 Commun. Math. Phys. 235, No. 3, 379-425 (2003). Reviewer: Arnaud Le Ny (Orsay) MSC: 82C41 60K35 PDFBibTeX XMLCite \textit{G. Ben Arous} et al., Commun. Math. Phys. 235, No. 3, 379--425 (2003; Zbl 1037.82038) Full Text: DOI
Bovier, Anton; Kurkova, Irina; Löwe, Matthias Fluctuations of the free energy in the REM and the \(p\)-spin SK models. (English) Zbl 1018.60094 Ann. Probab. 30, No. 2, 605-651 (2002). Reviewer: Utkir Rozikov (Tashkent) MSC: 60K35 82C44 PDFBibTeX XMLCite \textit{A. Bovier} et al., Ann. Probab. 30, No. 2, 605--651 (2002; Zbl 1018.60094) Full Text: DOI arXiv
Bovier, A.; Zahradník, M. Cluster expansions and Pirogov-Sinai theory for long range spin systems. (English) Zbl 1035.82010 Markov Process. Relat. Fields 8, No. 3, 443-478 (2002). Reviewer: Yuri Kozitsky (Lublin) MSC: 82B20 60K35 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{M. Zahradník}, Markov Process. Relat. Fields 8, No. 3, 443--478 (2002; Zbl 1035.82010)
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus Metastability and low lying spectra in reversible Markov chains. (English) Zbl 1010.60088 Commun. Math. Phys. 228, No. 2, 219-255 (2002). Reviewer: M.Mürmann (Heidelberg) MSC: 60K35 82C05 60J10 PDFBibTeX XMLCite \textit{A. Bovier} et al., Commun. Math. Phys. 228, No. 2, 219--255 (2002; Zbl 1010.60088) Full Text: DOI arXiv
Bovier, Anton; Manzo, Francesco Metastability in Glauber dynamics in the low-temperature limit: Beyond exponential asymptotics. (English) Zbl 1067.82041 J. Stat. Phys. 107, No. 3-4, 757-779 (2002). MSC: 82C20 60J35 60K35 82C22 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{F. Manzo}, J. Stat. Phys. 107, No. 3--4, 757--779 (2002; Zbl 1067.82041) Full Text: DOI arXiv
Bovier, Anton; Mason, David M. Extreme value behavior in the Hopfield model. (English) Zbl 1024.82015 Ann. Appl. Probab. 11, No. 1, 91-120 (2001). Reviewer: Yuri Kozitsky (Lublin) MSC: 82B44 60G70 60K35 82C32 82D30 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{D. M. Mason}, Ann. Appl. Probab. 11, No. 1, 91--120 (2001; Zbl 1024.82015) Full Text: DOI
Bovier, Anton; Niederhauser, Beat The spin-glass phase-transition in the Hopfield model with \(p\)-spin interactions. (English) Zbl 1011.82008 Adv. Theor. Math. Phys. 5, No. 6, 1001-1046 (2001). MSC: 82B27 60K35 82D30 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{B. Niederhauser}, Adv. Theor. Math. Phys. 5, No. 6, 1001--1046 (2001; Zbl 1011.82008) Full Text: DOI arXiv
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus Metastability in stochastic dynamics of disordered mean-field models. (English) Zbl 1012.82015 Probab. Theory Relat. Fields 119, No. 1, 99-161 (2001). Reviewer: Utkir Rozikov (Tashkent) MSC: 82C44 60K35 PDFBibTeX XMLCite \textit{A. Bovier} et al., Probab. Theory Relat. Fields 119, No. 1, 99--161 (2001; Zbl 1012.82015) Full Text: DOI arXiv
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus Metastability and small eigenvalues in Markov chains. (English) Zbl 0970.82035 J. Phys. A, Math. Gen. 33, No. 46, L447-L451 (2000). MSC: 82C31 60J10 PDFBibTeX XMLCite \textit{A. Bovier} et al., J. Phys. A, Math. Gen. 33, No. 46, L447--L451 (2000; Zbl 0970.82035) Full Text: DOI arXiv
Bovier, Anton; Zahradník, Miloš A simple inductive approach to the problem of convergence of cluster expansions of polymer models. (English) Zbl 1055.82532 J. Stat. Phys. 100, No. 3-4, 765-778 (2000). MSC: 82D60 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{M. Zahradník}, J. Stat. Phys. 100, No. 3--4, 765--778 (2000; Zbl 1055.82532) Full Text: DOI
Bovier, Anton Sharp upper bounds on perfect retrieval in the Hopfield model. (English) Zbl 0947.60092 J. Appl. Probab. 36, No. 3, 941-950 (1999). MSC: 60K35 91E40 82C32 PDFBibTeX XMLCite \textit{A. Bovier}, J. Appl. Probab. 36, No. 3, 941--950 (1999; Zbl 0947.60092) Full Text: DOI
Bovier, Anton; van Enter, Aernout C. D.; Niederhauser, Beat Stochastic symmetry-breaking in a Gaussian Hopfield model. (English) Zbl 0964.82024 J. Stat. Phys. 95, No. 1-2, 181-213 (1999). MSC: 82B44 60K35 PDFBibTeX XMLCite \textit{A. Bovier} et al., J. Stat. Phys. 95, No. 1--2, 181--213 (1999; Zbl 0964.82024) Full Text: DOI arXiv
Bovier, Anton; Gayrard, Veronique Sample path large deviations for a class of Markov chains related to disordered mean field models. arXiv:math/9905022 Preprint, arXiv:math/9905022 [math.PR] (1999). MSC: 60F10 82C44 60J15 BibTeX Cite \textit{A. Bovier} and \textit{V. Gayrard}, ``Sample path large deviations for a class of Markov chains related to disordered mean field models'', Preprint, arXiv:math/9905022 [math.PR] (1999) Full Text: arXiv
Bovier, Anton The Kac version of the Sherrington-Kirkpatrick model at high temperatures. (English) Zbl 0928.60089 J. Stat. Phys. 91, No. 1-2, 459-474 (1998). Reviewer: M.Mürmann (Heidelberg) MSC: 60K35 82D30 60F05 PDFBibTeX XMLCite \textit{A. Bovier}, J. Stat. Phys. 91, No. 1--2, 459--474 (1998; Zbl 0928.60089) Full Text: DOI
Bovier, Anton; Gayrard, Véronique Metastates in the Hopfield model in the replica symmetric regime. (English) Zbl 0910.60081 Math. Phys. Anal. Geom. 1, No. 2, 107-144 (1998). MSC: 60K35 82B44 82C32 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, Math. Phys. Anal. Geom. 1, No. 2, 107--144 (1998; Zbl 0910.60081) Full Text: DOI arXiv
Bovier, Anton; Gayrard, Véronique Hopfield models as generalized random mean field models. (English) Zbl 0899.60087 Bovier, Anton (ed.) et al., Mathematical aspects of spin glasses and neural networks. Boston, MA: Birkhäuser. Prog. Probab. 41, 3-89 (1998). Reviewer: Chen Mu-fa (Beijing) MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, Prog. Probab. 41, 3--89 (1998; Zbl 0899.60087) Full Text: arXiv
Bovier, A.; Gayrard, V.; Picco, P. Typical profiles of the Kac-Hopfield model. (English) Zbl 0899.60086 Bovier, Anton (ed.) et al., Mathematical aspects of spin glasses and neural networks. Boston, MA: Birkhäuser. Prog. Probab. 41, 187-241 (1998). Reviewer: Chen Mu-fa (Beijing) MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{A. Bovier} et al., Prog. Probab. 41, 187--241 (1998; Zbl 0899.60086)
Bovier, Anton (ed.); Picco, Pierre (ed.) Mathematical aspects of spin classes and neural networks. (English) Zbl 0881.00017 Progress in Probability. 41. Boston, MA: Birkhäuser. viii, 382 p. (1998). MSC: 00B15 60-06 82-06 68T05 PDFBibTeX XMLCite \textit{A. Bovier} (ed.) and \textit{P. Picco} (ed.), Mathematical aspects of spin classes and neural networks. Boston, MA: Birkhäuser (1998; Zbl 0881.00017)
Bovier, Anton; Gayrard, Véronique The retrieval phase of the Hopfield model: A rigorous analysis of the overlap distribution. (English) Zbl 0866.60085 Probab. Theory Relat. Fields 107, No. 1, 61-98 (1997). MSC: 60K35 82C32 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, Probab. Theory Relat. Fields 107, No. 1, 61--98 (1997; Zbl 0866.60085) Full Text: DOI arXiv
Bovier, Anton Comment on ‘The capacity of the Hopfield model’. (English) Zbl 1041.82521 J. Phys. A, Math. Gen. 30, No. 22, 7993-7996 (1997). MSC: 82C32 92B20 68T05 PDFBibTeX XMLCite \textit{A. Bovier}, J. Phys. A, Math. Gen. 30, No. 22, 7993--7996 (1997; Zbl 1041.82521) Full Text: DOI arXiv
Bovier, Anton; Zahradnik, Miloś The low-temperature phase of Kac-Ising models. (English) Zbl 0929.60080 J. Stat. Phys. 87, No. 1-2, 311-332 (1997). Reviewer: Ostap Hryniv (Lausanne) MSC: 60K35 82B20 82B26 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{M. Zahradnik}, J. Stat. Phys. 87, No. 1--2, 311--332 (1997; Zbl 0929.60080) Full Text: DOI arXiv
Bovier, A.; Gayrard, V. Statistical mechanics of neural networks: The Hopfield model and the Kac-Hopfield model. (English) Zbl 0910.60086 Markov Process. Relat. Fields 3, No. 4, 393-422 (1997). Reviewer: A.Bovier (Berlin) MSC: 60K40 82C32 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, Markov Process. Relat. Fields 3, No. 4, 393--422 (1997; Zbl 0910.60086)
Bovier, Anton; Gayrard, Véronique; Picco, Pierre Distribution of overlap profiles in the one-dimensional Kac-Hopfield model. (English) Zbl 0884.60095 Commun. Math. Phys. 186, No. 2, 323-379 (1997). MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{A. Bovier} et al., Commun. Math. Phys. 186, No. 2, 323--379 (1997; Zbl 0884.60095) Full Text: DOI arXiv
Bovier, Anton; Gayrard, Véronique An almost sure large deviation principle for the Hopfield model. (English) Zbl 0871.60022 Ann. Probab. 24, No. 3, 1444-1475 (1996). Reviewer: A.Khorunzhy (Khar’kov) MSC: 60F10 82B44 82C32 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, Ann. Probab. 24, No. 3, 1444--1475 (1996; Zbl 0871.60022) Full Text: DOI arXiv
Bovier, Anton; Külske, Christof There are no nice interfaces in \((2+1)\)-dimensional SOS models in random media. (English) Zbl 1081.82571 J. Stat. Phys. 83, No. 3-4, 751-759 (1996). MSC: 82B44 82B24 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{C. Külske}, J. Stat. Phys. 83, No. 3--4, 751--759 (1996; Zbl 1081.82571) Full Text: DOI arXiv
Bovier, Anton; Ghez, Jean-Michel Remarks on the spectral properties of tight-binding and Kronig-Penney models with substitution sequences. (English) Zbl 1044.82547 J. Phys. A, Math. Gen. 28, No. 8, 2313-2324 (1995). MSC: 82B44 82D30 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{J.-M. Ghez}, J. Phys. A, Math. Gen. 28, No. 8, 2313--2324 (1995; Zbl 1044.82547) Full Text: DOI arXiv
Bovier, Anton; Gayrard, Véronique; Picco, Pierre Large deviation principles for the Hopfield model and the Kac-Hopfield model. (English) Zbl 0826.60090 Probab. Theory Relat. Fields 101, No. 4, 511-546 (1995). Reviewer: A.Khorunzhy (Khar’kov) MSC: 60K35 82B44 82C32 60F10 PDFBibTeX XMLCite \textit{A. Bovier} et al., Probab. Theory Relat. Fields 101, No. 4, 511--546 (1995; Zbl 0826.60090) Full Text: DOI
Bovier, Anton; Gayrard, Véronique; Picco, Pierre Gibbs states of the Hopfield model with extensively many patterns. (English) Zbl 1081.82570 J. Stat. Phys. 79, No. 1-2, 395-414 (1995). MSC: 82B44 82C32 PDFBibTeX XMLCite \textit{A. Bovier} et al., J. Stat. Phys. 79, No. 1--2, 395--414 (1995; Zbl 1081.82570) Full Text: DOI
Bovier, Anton; Gayrard, Véronique Rigorous results on the Hopfield model of neural networks. (English) Zbl 0846.92001 Resen. Inst. Mat. Estat. Univ. São Paulo 1, No. 2-3, 161-172 (1994). MSC: 92B20 82C32 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, Resen. Inst. Mat. Estat. Univ. São Paulo 1, No. 2--3, 161--172 (1994; Zbl 0846.92001)
Bovier, Anton Self-averaging in a class of generalized Hopfield models. (English) Zbl 0843.60093 J. Phys. A, Math. Gen. 27, No. 21, 7069-7077 (1994). MSC: 60K35 82C32 PDFBibTeX XMLCite \textit{A. Bovier}, J. Phys. A, Math. Gen. 27, No. 21, 7069--7077 (1994; Zbl 0843.60093) Full Text: DOI Link
Bovier, Anton; Ghez, Jean-Michel Erratum: Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions. (English) Zbl 0841.35072 Commun. Math. Phys. 166, No. 2, 431-432 (1994). MSC: 35P05 34L40 82B44 47F05 11B85 34L05 35J10 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{J.-M. Ghez}, Commun. Math. Phys. 166, No. 2, 431--432 (1994; Zbl 0841.35072) Full Text: DOI
Bovier, Anton; Gayrard, Véronique; Picco, Pierre Gibbs states of the Hopfield model in the regime of perfect memory. (English) Zbl 0810.60094 Probab. Theory Relat. Fields 100, No. 3, 329-363 (1994). MSC: 60K35 82B44 82C32 PDFBibTeX XMLCite \textit{A. Bovier} et al., Probab. Theory Relat. Fields 100, No. 3, 329--363 (1994; Zbl 0810.60094) Full Text: DOI
Bovier, Anton; Külske, Christof A rigorous renormalization group method for interfaces in random media. (English) Zbl 0802.60098 Rev. Math. Phys. 6, No. 3, 413-496 (1994). Reviewer: N.E.Ratanov (Chelyabinsk) MSC: 60K40 82B44 82C22 60K35 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{C. Külske}, Rev. Math. Phys. 6, No. 3, 413--496 (1994; Zbl 0802.60098) Full Text: DOI
Bovier, Anton; Gayrard, Véronique Lower bounds on the memory capacity of the dilute Hopfield model. (English) Zbl 0864.60089 Boccara, Nino (ed.) et al., Cellular automata and cooperative systems. Proceedings of the NATO Advanced Study Institute held in Les Houches, France, June 22-July 2, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 396, 55-66 (1993). MSC: 60K40 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 396, 55--66 (1993; Zbl 0864.60089)
Bovier, Anton; Külske, Christof Hierarchical interfaces in random media. II: The Gibbs measures. (English) Zbl 1101.82317 J. Stat. Phys. 73, No. 1-2, 253-266 (1993). MSC: 82B44 82B20 82B24 60K35 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{C. Külske}, J. Stat. Phys. 73, No. 1--2, 253--266 (1993; Zbl 1101.82317) Full Text: DOI
Bovier, Anton; Gayrard, Véronique The thermodynamics of the Curie-Weiss model with random couplings. (English) Zbl 1100.82515 J. Stat. Phys. 72, No. 3-4, 643-664 (1993). MSC: 82B44 82C44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, J. Stat. Phys. 72, No. 3--4, 643--664 (1993; Zbl 1100.82515) Full Text: DOI
Bovier, Anton; Gayrard, Véronique Rigorous results on the thermodynamics of the dilute Hopfield model. (English) Zbl 1096.82517 J. Stat. Phys. 72, No. 1-2, 79-112 (1993). MSC: 82C32 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, J. Stat. Phys. 72, No. 1--2, 79--112 (1993; Zbl 1096.82517) Full Text: DOI
Bovier, Anton; Ghez, Jean-Michel Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions. (English) Zbl 0820.35099 Commun. Math. Phys. 158, No. 1, 45-66 (1993). Reviewer: J.-P.Allouche (Marseille) MSC: 35P05 35J10 82B44 47F05 11B85 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{J.-M. Ghez}, Commun. Math. Phys. 158, No. 1, 45--66 (1993; Zbl 0820.35099) Full Text: DOI
Bovier, Anton Perturbation theory for the random dimer model. (English) Zbl 0748.60101 J. Phys. A, Math. Gen. 25, No. 5, 1021-1029 (1992). MSC: 60K40 82D30 PDFBibTeX XMLCite \textit{A. Bovier}, J. Phys. A, Math. Gen. 25, No. 5, 1021--1029 (1992; Zbl 0748.60101) Full Text: DOI
Bovier, Anton; Külske, Christof Stability of hierarchical interfaces in a random field model. (English) Zbl 0893.60071 J. Stat. Phys. 69, No. 1-2, 79-110 (1992). MSC: 60K35 82B24 82B28 82B44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{C. Külske}, J. Stat. Phys. 69, No. 1--2, 79--110 (1992; Zbl 0893.60071) Full Text: DOI
Bovier, Anton; Gayrard, Véronique Rigorous bounds on the storage capacity of the dilute Hopfield model. (English) Zbl 0900.82064 J. Stat. Phys. 69, No. 3-4, 597-627 (1992). MSC: 82C32 68T05 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{V. Gayrard}, J. Stat. Phys. 69, No. 3--4, 597--627 (1992; Zbl 0900.82064) Full Text: DOI
Bovier, Anton The density of states in the Anderson model at weak disorder: A renormalization group analysis of the hierarchical model. (English) Zbl 0718.60121 J. Stat. Phys. 59, No. 3-4, 745-779 (1990). MSC: 60K40 82C21 82C44 PDFBibTeX XMLCite \textit{A. Bovier}, J. Stat. Phys. 59, No. 3--4, 745--779 (1990; Zbl 0718.60121) Full Text: DOI
Bovier, Anton; Klein, Abel Weak disorder expansion of the invariant measure for the one-dimensional Anderson model. (English) Zbl 1086.82500 J. Stat. Phys. 51, No. 3-4, 501-517 (1988). MSC: 82B05 60K35 82B44 82C44 PDFBibTeX XMLCite \textit{A. Bovier} and \textit{A. Klein}, J. Stat. Phys. 51, No. 3--4, 501--517 (1988; Zbl 1086.82500) Full Text: DOI