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Structure: Internal structure identifier : 300009
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Large deviations for the local fluctuations of random walks

Julien Barral , Patrick Loiseau
Stochastic Processes and their Applications, 2011, 121 (10), pp.2272-2302. ⟨10.1016/⟩
Journal articles hal-00844817v1

On the estimation of the large deviations spectrum

Julien Barral , Paulo Gonçalves
Journal of Statistical Physics, 2011, 144, X-Editorial-Board = yes, X-International-Audience = yes (6), pp.1256-1283. ⟨10.1007/s10955-011-0296-6⟩
Journal articles istex hal-00747653v1
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Renewal of singularity sets of statistically self-similar measures

Julien Barral , Stephane Seuret
Preprints, Working Papers, ... hal-00004527v1

Convergence of complex multiplicative cascades

Julien Barral , Xiong Jin , Benoît B. Mandelbrot
Annals of Applied Probability, 2010, 20 (4), pp.1219-1252. ⟨10.1214/09-AAP665⟩
Journal articles hal-00790894v1

Fractional multiplicative processes

Julien Barral , Benoît Mandelbrot
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2009, 45 (4), pp.1116-1129. ⟨10.1214/08-AIHP198⟩
Journal articles hal-00793123v1
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Comparing multifractal formalisms : the Neighboring Boxes Condition

Julien Barral , Fathi Ben Nasr , Jacques Peyrière
[Research Report] RR-4562, INRIA. 2002
Reports inria-00072026v1
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Large deviations estimates for the multiscale analysis of heart rate variability

Patrick Loiseau , Claire Médigue , Paulo Gonçalves , Najmeddine Attia , Stéphane Seuret et al.
Physica A: Statistical Mechanics and its Applications, 2012, 391 (22), pp.5658-5671. ⟨10.1016/j.physa.2012.05.069⟩
Journal articles hal-00725380v1

Dynamics of Mandelbrot cascades

Julien Barral , Jacques Peyrière , Zhi-Ying Wen
Probability Theory and Related Fields, 2009, 144 (3-4), pp.615-631. ⟨10.1007/s00440-008-0156-8⟩
Journal articles hal-00793170v1

Uniform convergence for complex [0, 1]-martingales

Julien Barral , Xiong Jin , Benoît Mandelbrot
Annals of Applied Probability, 2010, 20 (4), pp.1205-1218. ⟨10.1214/09-AAP664⟩
Journal articles hal-00793058v1
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Multifractal Analysis of a Class of Additive Processes with Correlated Non-Stationary Increments

Julien Barral , Jacques Lévy Véhel
Electronic Journal of Probability, 2004, 9 (16), pp.508-543
Journal articles inria-00576461v1
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Multiperiodic multifractal martingale measures

Julien Barral , Marc-Olivier Coppens , Benoît B. Mandelbrot
[Research Report] RR-4563, INRIA. 2002
Reports inria-00072025v1

Multifractal Analysis of Complex Random Cascades

Julien Barral , Xiong Jin
Communications in Mathematical Physics, 2010, 297 (1), pp.129-168. ⟨10.1007/s00220-010-1030-y⟩
Journal articles hal-00790872v1

Ubiquity and large intersections properties under digit frequencies constraints

Julien Barral , Stephane Seuret
Mathematical Proceedings of the Cambridge Philosophical Society, 2008, 145 (3), pp.527--548. ⟨10.1017/S030500410800159X⟩
Journal articles hal-00693060v1
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Inside singularity sets of random Gibbs measures

Julien Barral , Stephane Seuret
Preprints, Working Papers, ... hal-00004526v1
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Heterogeneous ubiquitous systems in $\mathbb{R}^{d}$ and Hausdorff dimension

Julien Barral , Stephane Seuret
Preprints, Working Papers, ... hal-00004525v1

The singularity spectrum of the inverse of cookie-cutters

Julien Barral , Stephane Seuret
Ergodic Theory and Dynamical Systems, 2009, 29 (4), pp.1075--1095. ⟨10.1017/S0143385708000618⟩
Journal articles istex hal-00693130v1

Modeling TCP Throughput: an Elaborated Large-Deviations-Based Model and its Empirical Validation

Patrick Loiseau , Paulo Gonçalves , Julien Barral , Pascale Vicat-Blanc Primet
IFIP, Performance, Nov 2010, Namur, Belgium
Conference papers inria-00527636v1