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hal-00725380v1  Journal articles
Patrick LoiseauClaire MédiguePaulo GonçalvesNajmeddine AttiaStéphane Seuret et al.  Large deviations estimates for the multiscale analysis of heart rate variability
Physica A: Statistical Mechanics and its Applications, Elsevier, 2012, 391 (22), pp.5658-5671. ⟨10.1016/j.physa.2012.05.069⟩
hal-00693130v1  Journal articles
Julien BarralStéphane Seuret. The singularity spectrum of the inverse of cookie-cutters
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2009, 29 (4), pp.1075--1095. ⟨10.1017/S0143385708000618⟩
hal-00693060v1  Journal articles
Julien BarralStéphane Seuret. Ubiquity and large intersections properties under digit frequencies constraints
Mathematical Proceedings, Cambridge University Press (CUP), 2008, 145 (3), pp.527--548. ⟨10.1017/S030500410800159X⟩
inria-00576461v1  Journal articles
Julien BarralJacques Lévy Véhel. Multifractal Analysis of a Class of Additive Processes with Correlated Non-Stationary Increments
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2004, 9 (16), pp.508-543
hal-00793123v1  Journal articles
Julien BarralBenoît Mandelbrot. Fractional multiplicative processes
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2009, 45 (4), pp.1116-1129. ⟨10.1214/08-AIHP198⟩
hal-00790872v1  Journal articles
Julien BarralXiong Jin. Multifractal Analysis of Complex Random Cascades
Communications in Mathematical Physics, Springer Verlag, 2010, 297 (1), pp.129-168. ⟨10.1007/s00220-010-1030-y⟩
hal-00793058v1  Journal articles
Julien BarralXiong JinBenoît Mandelbrot. Uniform convergence for complex [0, 1]-martingales
Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2010, 20 (4), pp.1205-1218. ⟨10.1214/09-AAP664⟩
hal-00790894v1  Journal articles
Julien BarralXiong JinBenoît B. Mandelbrot. Convergence of complex multiplicative cascades
Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2010, 20 (4), pp.1219-1252. ⟨10.1214/09-AAP665⟩
hal-00793170v1  Journal articles
Julien BarralJacques PeyrièreZhi-Ying Wen. Dynamics of Mandelbrot cascades
Probability Theory and Related Fields, Springer Verlag, 2009, 144 (3-4), pp.615-631. ⟨10.1007/s00440-008-0156-8⟩
hal-00747653v1  Journal articles
Julien BarralPaulo Gonçalves. On the estimation of the large deviations spectrum
Journal of Statistical Physics, Springer Verlag, 2011, 144, X-Editorial-Board = yes, X-International-Audience = yes (6), pp.1256-1283. ⟨10.1007/s10955-011-0296-6⟩
hal-00844817v1  Journal articles
Julien BarralPatrick Loiseau. Large deviations for the local fluctuations of random walks
Stochastic Processes and their Applications, Elsevier, 2011, 121 (10), pp.2272-2302. ⟨10.1016/j.spa.2011.06.004⟩