Preprints

• F. Caravenna A note on directly Riemann integrable functions [ PDF - arXiv ]
• F. Caravenna and L. Chaumont An invariance principle for random walk bridges conditioned to stay positive [ PDF - arXiv ]

Publications and Proceedings

Note: Copyright for the published version is with the publishers of the respective journal.

• [21] Q. Berger, F. Caravenna, J. Poisat, R. Sun and N. Zygouras The critical curve of the random pinning and copolymer models at weak coupling Commun. Math. Phys. (to appear). [ PDF - arXiv ]
• [20] F. Caravenna, F. den Hollander and N. Pétrélis Lectures on Random Polymers In: Probability and Statistical Physics in Two and more Dimensions. Proceedings of the Clay Mathematics Institute Summer School and XIV Brazilian School of Probability (Buzios, Brazil). Edited by David Ellwood, Charles Newman, Vladas Sidoravicius and Wendelin Werner.
  Clay Mathematics Proceedings 15 (2012), 319-393. [ PDF - arXiv ]
• [19] F. Caravenna, P. Carmona and N. Pétrélis The discrete-time parabolic Anderson model with heavy-tailed potential Ann. Inst. H. Poincaré 48 (2012), 1049-1080. [ PDF - published version (PDF) - arXiv ]
• [18] F. Caravenna, G. Giacomin and F. L. Toninelli Copolymers at selective interfaces: settled issues and open problems In: Probability in complex physical systems. In honour of Erwin Bolthausen and Jürgen Gärtner. Edited by J.-D. Deuschel, B. Gentz, W. König, M. von Renesse, M. Scheutzow, U. Schmock.
  Springer Proceedings in Mathematics 11 (2012), 289-312. [ PDF - published version - arXiv ]
• [17] A. Andreoli, F. Caravenna, P. Dai Pra and G. Posta Scaling and multiscaling in financial series: a simple model Adv. in Appl. Probab. 44 (2012), 1018-1051. [ PDF (published version) - arXiv ]
• [16] M. Borecki and F. Caravenna Localization for (1+1)-dimensional pinning models with (∇ + Δ) interaction Electron. Comm. Probab. 15 (2010), 534-548. [ PDF - published version - arXiv ]
• [15] F. Caravenna and G. Giacomin The weak coupling limit of disordered copolymer models Ann. Probab. 38 (2010), 2322-2378. [ PDF - published version (PDF) - arXiv ]
• [14] F. Caravenna and N. Pétrélis Depinning of a polymer in a multi-interface medium Electron. J. Probab. 14 (2009), 2038-2067. [ PDF - published version - arXiv ]
• [13] F. Caravenna and N. Pétrélis A polymer in a multi-interface medium Ann. Appl. Probab. 19 (2009), 1803-1839. [ PDF - published version (PDF) - arXiv ]
• [12] F. Caravenna, G. Giacomin and M. Gubinelli Large scale behavior of semiflexible heteropolymers Ann. Inst. H. Poincaré Probab. Statist. 46 (2010), 97-118. [ PDF - published version (PDF) - arXiv ]  
• [11] F. Caravenna and J.-D. Deuschel Scaling limits of (1+1)-dimensional pinning models with Laplacian interaction Ann. Probab. 37 (2009), 903-945. [ PDF - published version (PDF) - arXiv ]
• [10] E. Bolthausen, F. Caravenna and B. de Tilière The quenched critical point of a diluted disordered polymer model Stochastic Process. Appl. 119 (2009), 1479-1504. [ PDF - published version - arXiv ]
• [9] F. Caravenna and J.-D. Deuschel Pinning and wetting transition for (1+1)-dimensional fields with Laplacian interaction Ann. Probab. 36 (2008), 2388-2433. [ PDF - published version (PDF) - arXiv ]
• [8] F. Caravenna Modelli di polimeri e passeggiate aleatorie Boll. Unione Mat. Ital. Serie IX, vol. I (2008), 559-571 [ PDF ]
• [7] F. Caravenna and L. Chaumont Invariance principles for random walks conditioned to stay positive Ann. Inst. H. Poincaré Probab. Statist. 44 (2008), 170-190. [ PDF - published version (PDF) - arXiv ]
• [6] F. Caravenna, G. Giacomin and L. Zambotti Infinite volume limits of polymer chains with periodic charges Markov Process. Related Fields 13 (2007), 697-730. [ PDF - published version - arXiv ]
• [5] F. Caravenna, G. Giacomin and L. Zambotti Sharp asymptotic behavior for wetting models in (1+1)-dimension Electron. J. Probab. 11 (2006), 345-362. [ PDF - published version - arXiv ]
• [4] F. Caravenna, G. Giacomin and L. Zambotti A renewal theory approach to periodic copolymers with adsorption Ann. Appl. Probab. 17 (2007), 1362-1398. [ PDF - published version (PDF) - arXiv ]
• [3] F. Caravenna, G. Giacomin and M. Gubinelli A numerical approach to copolymers at selective interfaces J. Stat. Phys. 122 (2006), 799-832. [ PDF - published version - arXiv ]   The computer program used in this paper is available here.
• [2] F. Caravenna and G. Giacomin On constrained annealed bounds for pinning and wetting models Electron. Comm. Probab. 10 (2005), 179-189. [ PDF - published version - arXiv
  - PDF old version (different techniques, less general setting) ]
• [1] F. Caravenna A local limit theorem for random walks conditioned to stay positive Probab. Theory Related Fields 133 (2005), 508-530. [ PDF - published version - arXiv ]

Other Stuff

• F. Caravenna, G. Giacomin and L. Zambotti Tightness conditions for polymer measures Unpublished Manuscript (2007). [ PDF - arXiv ]
• F. Caravenna Random walk models and probabilistic techniques for inhomogeneous polymer chains Ph.D. Thesis (2005), Università di Milano-Bicocca (I) and Université Paris 7 (F). [ PDF - arXiv - PDF extended version (introduction and first chapter also in French) ]

Slides

• Scaling and multiscaling in financial series: a simple model Talk given on March 12, 2012 at the Department of Mathematics, University of Modena and Reggio Emilia (I). [ PDF ]
• The weak coupling limit of disordered copolymer models Talk given on February 15, 2011 at the Workshop on Interacting Processes in Random Environments, Fields Instutute, Toronto (CDN). [ PDF ]
• A polymer in a multi-interface medium Talk given on December 16, 2010 at the Institute for Applied Mathematics, University of Bonn (D) [ PDF ]
• Pinning and wetting transition for (1+1)-dimensional fields with Laplacian interaction Talk given on June 11, 2008 at the University of Warwick (GB) [ PDF ]
• Modelli di polimeri e passeggiate aleatorie Talk given on September 26, 2007 at the XVIII Congress of the Italian Mathematical Union in Bari (I) [ PDF ]
• On the phase diagram of random copolymers at selective interfaces Talk given on June 22, 2007 at Eurandom in Eindhoven (NL) [ PDF ]

Last modified: 30 Apr 2013.