Michel Weber


Directeur de Recherche au CNRS
Coordonnees

Publications recentes :

1. Michel Weber. Dirichlet polynomials: old and recent recent results and their interplay in number theory, (2010), a paraitre.

2. Michel Weber. A remark on zeros of Brownian motion, (2010), a paraitre.

3. Michel Weber. On mean values of Dirichlet polynomials, (2010), a paraitre.

4. Michel Weber. A remark on the LIL for subsequences , (2010), a paraitre.

5. Michel Weber. Supremum of Random Dirichlet Polynomials with Submultiplicative Coefficients, Uniform Distribution Theory 5 no1., 163-197. (2010).

6. Michel Weber. Dynamical Systems and Processes, European Mathematical Society Publishing House, IRMA Lectures in Mathematics and Theoretical Physics 14, (2009), xiii+759p.

7. Michel Lifshits, Michel Weber. Sampling the Lindelof Hypothesis with the Cauchy random walk, Proc. London Math. Soc. 98 no3, (2009), 241-270.

8. Istvan Berkes, Michel Weber. On the convergence  $\sum_k c_k f(n_kx)$, Memoirs of the A.M.S. 201 no 943, (2009), vi+72p.

9. Michel Lifshits, Michel Weber. On the supremum of some Random Dirichlet polynomials, Acta Math. Hungar. 123 (1-2), (2009).

10. Michel Weber. On localization in Kronecker's diophantine theorem, Uniform Distribution Theory 4 no1, (2009), 97--116. 

11. Michel Weber. On an identity of Ky Fan, Anal. Math. 34 no3, (2008), 225--236

12. Michel Lin, Michel Weber. Laws of the iterated logarithm for weighted sums of i.i.d. random variables, Comtemporary Math. 485, (2008), 115-129.

13. Rita Giuliano-Antonini, Michel Weber. The Theta dependence coefficient and almost sure limit theorems, Stat and Prob. Letters 78 no5, (2008), 564-575.

14. Michel Lifshits, Michel Weber. On the supremum of random Dirichlet polynomials, Studia Math.  182 (1), (2007), 41-65.

15. Istvan Berkes, Michel Weber. A law of the iterated logarithm for arithmetic functions, Proc. Amer. Math. Soc., 135 no4, (2007), 1223-1232.

15. Michel Weber. Small divisors of Bernoulli sums, Indag. Math. 18 (2), (2007), 281--293.

16. Istvan Berkes, Michel Weber. On complete convergence of triangular arrays of independent random variables, Stat and Prob. Letters 77, (2007), 952--963.
 
17. Michel Weber. Divisors of Bernoulli sums  Result der Math. 51, (2007), 141--179.

18. Michel Lin, Michel Weber. M. Weighted ergodic theorems and weighted strong laws of large numbers, Ergod. Th & Dynam. Sys.   27, (2007), 511--543.

19. Michel Weber. On a stronger form of Salem-Zygmund's estimate for random polynomials with examples, Periodica Math. Hungar. 52 (2), (2006), 73--104.

20. Jean-Jacques Ruch, Michel Weber. A survey on Riemann sums, Note Math. (2006), 26, n.2, 1-50.



 

 
 
 



Quelques preprints recents


1. Michel Weber. On instants of small amplitude of the Ornstein-Uhlenbeck process with an application to the Kubilius model, (2010).

2. Michel Weber. A sharp correlation inequality with an application to almost sure local limit theorem, (2010).

3. Rita Giuliano, Michel Weber. Almost sure local limit theorems with rate, (2010).

4. Michel Weber. Some estimates related to the Bernoulli model of the divisor function,(2010).

5. Berkes I., Muller W., Weber M. A general strong law of large numbers for arithmetic additive functions, (2010).

6. Michel Weber. Local suprema of Dirichlet polynomials and zerofree regions of the Riemann zeta-function, (2009).

7. Michel Weber. Mean values estimates related to the Lindelof Hypothesis, (2009).






Publications : Liste complete :


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Domaines d'interets :


Theorie ergodique, Theorie des probabilites, Theorie des processus, Analyse harmonique, Theorie des series orthogonales, Analyse spectrale, Theorie analytique et  theorie probabiliste des nombres.

Seminaire :


Systemes Dynamiques et Processus

Directions de theses :


- M. Atlagh, McF a l'Universite de Strasbourg. (These : Theoreme central limite presque sur et loi du logarithme itere ", soutenue le 10 Juin 1993 ).

- D. Schneider, Pr a l'Universite du Littoral. (These : "Convergence presque sure de moyennes ergodiques perturbees par des variables aleatoires", soutenue le 20 Juin 1994), HDR soutenue le 12 Novembre 2002 .

- C. Gamet, (secteur prive). (These : "Theoremes de convergence en moyenne et entropie metrique de moyennes ergodiques ", soutenue le 29 Novembre 1996).

- J.J. Ruch, McF a l'Universite de Bordeaux-I (These : "Contribution a l'etude des Sommes de Riemann", soutenue le 20 Novembre 1997).

- S. Kristensen,  Universite de Arhus. (These : "Sur deux formes d'approximation", soutenue le 25 Mars 2002 ).

- F. Boukhari. Universite de Tlemcen. (These: "Convergence et proprietes metriques des moyennes ergodiques ponderees, soutenue le 9 Decembre 2002 ).

Dernieres modifications : le 29.07.2010