Publications

Research Areas and Interests

  • Convex Geometric Analysis. Ergodic Theory. Fractal geometry. Measure theory in metric and more general topological spaces. Probability measures on locally compact topological groups and their harmonic analysis (random walks on locally compact groups). Probability Theory and Stochastic Processes.

Publications

  • Threshold for the volume spanned by random points with independent coordinates, w. A. Giannopoulos,

Israel Journal of Mathematics, 169, 125–153 (2009) link.springer.com/article/10.1007%2Fs11856-009-0007-z

DOI: 10.1007/s11856-009-0007-z EID: 2-s2.0-57849120391fff

  • On mixing and ergodicity in locally compact motion groups, w. M. Anoussis,

Journal fur die Reine und Angewandte Mathematik, 25, 1-28 (2008)

DOI: 10.1515/CRELLE.2008.088 EID: 2-s2.0-56549106448

  • On the maximal number of facets of 0/1 polytopes (book), w. A. Giannopoulos and N. Markoulakis, 

Lecture Notes in Mathematics, 1910, 117-125 (2007)

DOI: 10.1007/978-3-540-72053-9_7 EID: 2-s2.0-34247606767

  • A large deviations approach to the geometry of random polytopes, w. A. Giannopoulos, 

Mathematika, 53 (2), 173-210 (2006) scopus

EID: 2-s2.0-34547875719

  • Lower bound for the maximal number of facets of a 0/1 Polytope, w. A. Giannopoulos and N. Markoulakis, 

Discrete and Computational Geometry, 34, 331–349 (2005)

DOI: 10.1007/s00454-005-1159-1 EID: 2-s2.0-23944490670

  • On summing sequences in ℝd, w. M. Anoussis,

Illinois Journal of Mathematics, 49 (3), 905-910 (2005) scopus

EID: 2-s2.0-33745670169

  • A spectral radius formula for the Fourier transform on compact groups and applications to random walks, w. M. Anoussis,

Advances in Mathematics, 188 (2), 425-443 (2004)

DOI: 10.1016/j.aim.2003.11.001 EID: 2-s2.0-4444371375

  • On images of Borel measures under Borel mappings

Proceedings of the American Mathematical Society, 130, 2687-2699 (2002) www.ams.org/journals/proc/2002-130-09/S0002-9939-02-06434-1/

DOI: 10.1090/S0002-9939-02-06434-1 EID: 2-s2.0-0036721412

  • Lacunarity of self-similar and stochastically self-similar sets

Transactions of the American Mathematical Society, 352, 1953-1983 (2000) www.ams.org/journals/tran/2000-352-05/S0002-9947-99-02539-8/

EID: 2-s2.0-23044520951

  • On the lattice case of an almost sure renewal theorem for branching random walks

Advances in Applied Probability, 32 (3), 720 - 737 (2000)

DOI: 10.1239/aap/1013540241 EID: 2-s2.0-85037902136

  • Invariant measures of full dimension for some expanding maps, w. Y. Peres

Ergodic Theory and Dynamical Systems, 17 (1), 147 - 167 (1997)

DOI: 10.1017/S0143385797060987 EID: 2-s2.0-0031524950

  • The Variational Principle for Hausdorff Dimension: A Survey, w. Y. Peres

In: Ergodic Theory of Zd Actions, (M. Pollicott, K. Schmidt, eds.) 113 - 126 (1996)

DOI: 10.1017/CBO9780511662812.004

  • Statistically self-affine sets: Hausdorff and box dimensions, w. S. P. Lalley,

Journal of Theoretical Probability, 7, 437–468 (1994) link.springer.com/article/10.1007%2FBF02214277

DOI: 10.1007/BF02214277 EID: 2-s2.0-0141643485

  • Hausdorff and Box Dimensions of Certain Self-Affine Fractals, w. S. P. Lalley,

Indiana University Mathematics Journal, 41 (2), 533–568 (1992)

DOI: 10.1512/iumj.1992.41.41031