L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

## Publications

### Articles de revues

1. Products of random variables and the first digit phenomenon (, and ), In Stoch. Process. Appl., volume , -, .
2. On the discrepancy of powers of random variables ( and ), In Statistics and Probability Letters, volume 134, 5-14, .
3. Products of random variables and the first digit phenomenon (, and ), In Stochastic Process. Appl., volume 128, 1615-1634, .
4. Fast growing sequences of numbers and the first digit phenomenon ( and ), In Int. J. Number Theory, volume 705, 705-719, .
5. The mantissa distribution of the primorial numbers ( and ), In Acta Arith., volume 163, 45-58, .
6. On the mantissa distribution of powers of natural and prime numbers (, and ), In Acta Math. Hungar., volume 139, 49-63, .
7. Random number sequences and the first digit phenomenon ( and ), In Elec. J. Prob., volume 17, 1-17, .
8. A survey on weighted densities and their connection with the first digit phenomenon ( and ), In Rocky Mountain J. Math, volume 41, 1395-1415, .
9. Recurrence properties of sequences of integers ( and ), In Sci. China Math., volume 53, 641-656, . [pdf]
10. Limit theorems for sampled dynamical systems ( and ), In Stoch. Dyn., volume 3, 477-497, . [pdf]
11. Random ergodic theorems and regularizing random weights ( and ), In Ergodic Theory Dynam. Systems, volume 23, 1059-1092, . [pdf]
12. Sur une inégalité de Littlewood-Salem ( and ), In Ann. Inst. H. Poincaré Probab. Statist., volume 39, 193-216, . [pdf]
13. Ergodic theorems for dynamic random walks ( and ), In Math. Inequal. Appl., volume 6, 177-195, .
14. Ergodic averages with deterministic weights ( and ), In Ann. Inst. Fourier (Grenoble), volume 52, 561-583, . [pdf]
15. Théorèmes ergodiques aléatoires et suites de poids aléatoires régularisants ( and ), In C. R. Math. Acad. Sci. Paris, volume 334, 375-378, . [pdf]
16. Polynômes trigonométriques et marches aléatoires multidimensionnelles: application à la théorie ergodique (), In Ann. Inst. H. Poincaré Probab. Statist., volume 36, 617-646, . [pdf]
17. Ergodic theorems for dynamic random walks ( and ), In C. R. Acad. Sci. Paris Sér. I Math., volume 329, 153-158, . [pdf]
18. Théorèmes ergodiques perturbés (), In Israel J. Math., volume 101, 157-178, . [pdf]
19. Théorèmes ergodiques multidimensionnels et suites aléatoires universellement représentatives en moyenne ( and ), In Ann. Inst. H. Poincaré Probab. Statist., volume 33, 269-282, . [pdf]
20. Randomly weighted series of contractions in Hilbert spaces (, and ), In Math. Scand., volume 79, 263-282, .
21. Convergence presque sûre de moyennes ergodiques perturbées (), In C. R. Acad. Sci. Paris Sér. I Math., volume 319, 1201-1206, .

### Chapitres de livres

1. Weighted averages of contractions along subsequences ( and ), Chapter in Convergence in ergodic theory and probability (Columbus, OH, 1993), de Gruyter, volume 5, 397-404, .
2. Une remarque sur un théorème de Bourgain ( and ), Chapter in Séminaire de Probabilités, XXVII, Springer, volume 1557, 202-206, . [pdf]

### Rapports

1. Random number sequences and the first digit phenomenon ( and ), Technical report 466, LMPA, .
2. The Hierarchy of Weighted Densities and the First Digit Phenomenon ( and ), Technical report 451, LMPA, .
3. On the mantissa distribution of powers of natural and prime number (, and ), Technical report 447, LMPA, . [pdf]
4. Recurrence Properties of Sequences of Integers ( and ), Technical report 409, LMPA, .
5. Continuité de séries de fonctions le long de marches aléatoires ( and ), Technical report, LMPA, . [pdf]
6. Random series of functions and applications ( and ), Technical report, LMPA, .

février 2019 :