Recent Publications by Mario Wschebor

  1. Wschebor, Mario:  Sur le recouvement du cercle par des ensambles placés au hasard. Israel Journal of Mathematics, Vol. XV, (1973),pp. 1-11.
  2. Wschebor, Mario:  Sur la loi du sup de certains processus Gaussiens non-bornés. C. R. Acad. Sci. Paris Sér. I Math. 331 (2000), no. 10, 823–826.
  3. Azaïs, Jean-Marc; Wschebor, Mario: On the regularity of the distribution of the maximum of one-parameter Gaussian processes. Probab. Theory Related Fields 119 (2001), no. 1, 70–98.
  4. Azaïs, Jean-Marc; Bardet, Jean-Marc; Wschebor, Mario: On the tails of the distribution of the maximum of a smooth stationary Gaussian process. ESAIM Probab. Statist. 6 (2002), 177–184 
  5. Perera, Gonzalo; Wschebor, Mario: Inference on the variance and smoothing of the paths of diffusions. En l'honneur de J. Bretagnolle, D. Dacunha-Castelle, I. Ibragimov. Ann. Inst. H. Poincaré Probab. Statist. 38 (2002), no. 6, 1009–1022.
  6. Azaïs, Jean-Marc; Wschebor, Mario: The distribution of the maximum of a Gaussian process: Rice method revisited. In and out of equilibrium (Mambucaba, 2000), 321–348, Progr. Probab., 51, Birkhäuser Boston, Boston, MA, (2002).
  7. Cuesta-Albertos, J. A.; Wschebor, M.: Some remarks on the condition number of a real random square matrix. J. Complexity 19 (2003), no. 4, 548–554,
  8. Cucker, Felipe; Wschebor, Mario: On the expected condition number of linear programming problems. Numer. Math. 94 (2003), no. 3, 419–478.
  9. Azaïs, Jean-Marc; Wschebor, Mario: Upper and lower bounds for the tails of the distribution of the condition number of a Gaussian matrix. SIAM J. Matrix Anal. Appl. 26 (2004/05), no. 2, 426–440
  10. Cuesta-Albertos, J. A.; Wschebor, Mario: Condition numbers and extrema of random fields. Seminar on Stochastic Analysis, Random Fields and Applications IV, 69–82, Progr. Probab., 58, Birkhäuser, Basel, 2004.
  11. Wschebor, Mario: Smoothed analysis of κ(A). J. Complexity 20 (2004), no. 1, 97–107
  12. Wschebor, Mario: On the Kostlan-Shub-Smale model for random polynomial systems. Variance of the number of roots. J. Complexity 21 (2005), no. 6, 773–789.
  13. Azaïs, Jean-Marc; Wschebor, Mario: On the roots of a random system of equations. The theorem on Shub and Smale and some extensions. Found. Comput. Math. 5 (2005), no. 2, 125–144.
  14. Mordecki, Ernesto; Wschebor, Mario: Approximation of the occupation measure of Lévy processes. C. R. Math. Acad. Sci. Paris 340 (2005), no. 8, 605–610.
  15. Azaïs, Jean-Marc; Wschebor, Mario: On the distribution of the maximum of a Gaussian field with d parameters. Ann. Appl. Probab. 15 (2005), no. 1A, 254–278.
  16. Azaïs, Jean-Marc; Wschebor, Mario: Upper and lower bounds for the tails of the distribution of the condition number of a Gaussian matrix. SIAM J. Matrix Anal. Appl. 26 (2004/05), no. 2, 426–440
  17. Mordecki, Ernesto; Wschebor, Mario: Smoothing of paths and weak approximation of the occupation measure of Lévy processes. Publ. Mat. Urug. 11 (2006), 23–40.
  18. Wschebor, Mario: Smoothing and occupation measures of stochastic processes. Ann. Fac. Sci. Toulouse Math. (6) 15 (2006), no. 1, 125–156
  19. Wschebor, Mario: Systems of random equations. A review of some recent results. In and out of equilibrium. 2, 559–574, Progr. Probab., 60, Birkhäuser, Basel, 2008,
  20. Cucker, Felipe; Krick, Teresa; Malajovich, Gregorio; Wschebor, Mario: A numerical algorithm for zero counting. I. Complexity and accuracy. J. Complexity 24 (2008), no. 5-6, 582–605.
  21. Azaïs, Jean-Marc; Wschebor, Mario: A general expression for the distribution of the maximum of a Gaussian field and the approximation of the tail. Stochastic Process. Appl. 118 (2008), no. 7, 1190–1218.
  22. Cucker, Felipe; Krick, Teresa; Malajovich, Gregorio; Wschebor, Mario: A numerical algorithm for zero counting. II. Distance to ill-posedness and smoothed analysis. J. Fixed Point Theory Appl. 6 (2009), no. 2, 285–294.
  23. Armentano, Diego; Wschebor, Mario: Random systems of polynomial equations. The expected number of roots under smooth analysis. Bernoulli 15 (2009), no. 1, 249–266.
  24. Azaïs, Jean-Marc; Wschebor, Mario: Level sets and extrema of random processes and fields. John Wiley & Sons, Inc., Hoboken, NJ, 2009. xii+393 pp.
  25. Cohen, Serge; Wschebor, Mario: On tightness and weak convergence in the approximation of the occupation measure of fractional Brownian motion. J. Theoret. Probab. 23 (2010), no. 4, 1204–1226.
  26. Azaïs, Jean-Marc; Wschebor, Mario: Erratum to: "A general expression for the distribution of the maximum of a Gaussian field and the approximation of the tail", Stochastic Process. Appl. 120 (2010), no. 10, 2100–2101,
  27. Wschebor, Mario: A review of some methods to estimate the tail of the distribution of the maximum of a Gaussian field. Commun. Stoch. Anal. 5 (2011), no. 1, 65–80,
  28. Azaïs, Jean-Marc; León, José R.; Wschebor, Mario: Rice formulae and Gaussian waves. Bernoulli 17 (2011), no. 1, 170–193,

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