The home page of Dimitris Gatzouras

University of Crete

Department of Mathematics

Dimitris Gatzouras

GSRT Fellow

Research: Probability, Analysis, Ergodic Theory

E-mail: gatzoura@math.uoc.gr

Department of Mathematics
University of Crete
Knossos Avenue
714 09 Iraklio, Crete
GREECE

Tel: +30-81-393842 (office), +30-81-213994 (home)
Fax: +30-81-393881

Room: H304, Leoforos Knossou Building.

Publications, Preprints, Notes

In reverse chronological order; all files in Postscript.
  1. Threshold for the Volume Spanned by Random Points with Independent Coordinates ,
    with A. Giannopoulos; Israel J. Math. 169 (2009), 125-153.

  2. On Mixing and Ergodicity in Locally Compact Motion Groups ,
    with M. Anoussis; J. Reine Angew. Math. 625 (2008), 1-28.

  3. On the Maximal Number of Facets of 0/1-Polytopes ,
    with A. Giannopoulos and M. Markoulakis; GAFA Seminar Volume 2004-2005, LNM 1919
    (V. Milman, G. Schechtman eds), Springer, 2007, pp 117-125.

  4. A Large Deviations Approach to the Geometry of Random Polytopes ,
    with A. Giannopoulos; Mathematika 53 (2006), 173-210.

  5. On Summing Sequences in Rd ,
    with M. Anoussis; Illinois J. Math. 49 (2005), 905-910.

  6. Lower Bound for the Maximal Number of Facets of a 0/1-Polytope ,
    with A. Giannopoulos and M. Markoulakis; Discrete Comp. Geom. 34 (2005), 331-349.

  7. A Spectral Radius Formula for the Fourier Transform on Compact Groups and Applications to Random Walks ,
    with M. Anoussis; Adv. Math. 188 (2004), 425-443.

  8. On Weak Convergence of Probability Measures in Metric Spaces ,
    unpublished manuscript.

  9. On Images of Borel Measures under Borel Mappings ,
    Proc. Amer. Math. Soc. 130 (2002), 2687-2699.

  10. On the Lattice Case of an Almost-Sure Renewal Theorem for Branching Random Walks ,
    Adv. Appl. Prob. 32 (2000), 720-737.

  11. Lacunarity of Self-Similar and Stochastically Self-Similar Sets ,
    Tran. Amer. Math. Soc. 352 (2000), 1953-1983.

  12. Invariant Measures of Full Dimension for some Expanding Maps ,
    with Y. Peres; Ergod. Th. & Dynam. Sys. 17 (1997), 147-167.

  13. The Variational Principle for Hausdorff Dimension: A Survey ,
    with Y. Peres; in Ergodic Theory of Zd Actions (M. Pollicott, K. Schmidt eds.)
    London Math. Soc. Lecture Notes Series, Vol. 228, 113-125.

  14. Statistically Self-Affine Sets: Hausdorff and Box Dimensions ,
    with S.P. Lalley; J. Theor. Prob. 7 (1994), 437-468.

  15. Addendum to: On the Hausdorff and Box Dimensions of certain Self-Affine Fractals ,
    unpublished manuscript.

  16. On the Hausdorff and Box Dimensions of certain Self-Affine Fractals ,
    with S.P. Lalley; Indiana Univ. Math. J. 41 (1992), 533-568.

    Probability on Trees: An introductory Climb ,
    with Y. Peres and D. Levin; in Lectures on Probability Theory and Statistics,
    Ecole d'Ete de Probabilites de Saint-Flour XXVII-1997,     (P. Bernard ed.),
    Lecture Notes in Mathematics 1717, Springer Verlag, pp. 193-280.

    Notes on Y. Peres' lectures in the XXVII St. Flour Probability Summer School (1997).

Back to Mathematics Department