Dimitris Gatzouras
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Dimitris Gatzouras has a total of 8 co-authors. Here are the top co-authors by number of shared publications:
- Apostolos Giannopoulos
Department of Mathematics, National and Kapodistrian University of Athens, Athens, Greece
3 shared publications - Michalis Anoussis
Department of Mathematics University of the Aegean 832 00 Karlovassi, Samos, Greece
3 shared publications A. Giannopoulos
University of Athens
1 shared publicationM. Anoussis
Agricultural University of Athens
1 shared publicationN. Markoulakis
University of Crete
1 shared publication- Nikolaos Markoulakis
Department of Mathematics, University of Crete, Heraklion 714 09, Crete
1 shared publication
Latest Publications
- 22 November 2008
- Published by Springer Nature in Israel Journal of Mathematics
- Vol. 169 (1) , 125-153
Threshold for the volume spanned by random points with independent coordinates
- 22 November 2008
- Published by Springer Nature in Israel Journal of Mathematics
- Vol. 169 (1) , 125-153
Threshold for the volume spanned by random points with independent coordinates
- 1 January 2008
- Published by Walter de Gruyter GmbH in Journal für die reine und angewandte Mathematik (Crelles Journal)
- Vol. 2008 (625) , 1-28
On mixing and ergodicity in locally compact motion groups
- 1 January 2008
- Published by Walter de Gruyter GmbH in Journal für die reine und angewandte Mathematik (Crelles Journal)
- Vol. 2008 (625) , 1-28
On mixing and ergodicity in locally compact motion groups
- Open Access
On Mixing and Ergodicity in Locally Compact Motion Groups
Let $G$ be a semi-direct product $G=A\times_\phi K$ with $A$ Abelian and $K$ compact. We characterize spread-out probability measures on $G$ that are mixing by convolutions by means of their Fourier transforms. A key tool is a spectral radius formula for the Fourier transform of a regular Borel measure on $G$ that we develop, and which is analogous to the well-known Beurling--Gelfand spectral radius formula. For spread-out probability measures on $G$, we also characterize ergodicity by means of the Fourier transform of the measure. Finally, we show that spread-out probability measures on such groups are mixing if and only if they are weakly mixing.Open AccessOn Mixing and Ergodicity in Locally Compact Motion Groups
Let $G$ be a semi-direct product $G=A\times_\phi K$ with $A$ Abelian and $K$ compact. We characterize spread-out probability measures on $G$ that are mixing by convolutions by means of their Fourier transforms. A key tool is a spectral radius formula for the Fourier transform of a regular Borel measure on $G$ that we develop, and which is analogous to the well-known Beurling--Gelfand spectral radius formula. For spread-out probability measures on $G$, we also characterize ergodicity by means of the Fourier transform of the measure. Finally, we show that spread-out probability measures on such groups are mixing if and only if they are weakly mixing. - 1 December 2006
- Published by Wiley in Mathematika
- Vol. 53 (2) , 173-210
A Large Deviations Approach to the Geometry of Random Polytopes
- 1 December 2006
- Published by Wiley in Mathematika
- Vol. 53 (2) , 173-210
A Large Deviations Approach to the Geometry of Random Polytopes
- 1 May 2006
- Published by Elsevier in Advances in Mathematics
- Vol. 202 (1) , 287-288
Addendum to “A spectral radius formula for the Fourier transform on compact groups and applications to random walks” [Adv. Math. 188 (2004) 425–443]
- 1 May 2006
- Published by Elsevier in Advances in Mathematics
- Vol. 202 (1) , 287-288
Addendum to “A spectral radius formula for the Fourier transform on compact groups and applications to random walks” [Adv. Math. 188 (2004) 425–443]
- 5 April 2005
- Published by Springer Nature in Discrete & Computational Geometry
- Vol. 34 (2) , 331-349
Lower Bound for the Maximal Number of Facets of a 0/1 Polytope
- 5 April 2005
- Published by Springer Nature in Discrete & Computational Geometry
- Vol. 34 (2) , 331-349
Lower Bound for the Maximal Number of Facets of a 0/1 Polytope
- 10 November 2004
- Published by Elsevier in Advances in Mathematics
- Vol. 188 (2) , 425-443
A spectral radius formula for the Fourier transform on compact groups and applications to random walks
- 10 November 2004
- Published by Elsevier in Advances in Mathematics
- Vol. 188 (2) , 425-443
A spectral radius formula for the Fourier transform on compact groups and applications to random walks
- Open Access
- 29 March 2002
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 130 (9) , 2687-2699
On images of Borel measures under Borel mappings
Let X X and Y Y be metric spaces. We show that the tight images of a (fixed) tight Borel probability measure μ \mu on X X , under all Borel mappings f : X → Y f\colon X\to Y , form a closed set in the space of tight Borel probability measures on Y Y with the weak ∗ ^* -topology. In contrast, the set of images of μ \mu under all continuous mappings from X X to Y Y may not be closed. We also characterize completely the set of tight images of μ \mu under Borel mappings. For example, if μ \mu is non-atomic, then all tight Borel probability measures on Y Y can be obtained as images of μ \mu , and as a matter of fact, one can always choose the corresponding Borel mapping to be of Baire class 2.
- 29 March 2002
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 130 (9) , 2687-2699
Open AccessOn images of Borel measures under Borel mappings
Let X X and Y Y be metric spaces. We show that the tight images of a (fixed) tight Borel probability measure μ \mu on X X , under all Borel mappings f : X → Y f\colon X\to Y , form a closed set in the space of tight Borel probability measures on Y Y with the weak ∗ ^* -topology. In contrast, the set of images of μ \mu under all continuous mappings from X X to Y Y may not be closed. We also characterize completely the set of tight images of μ \mu under Borel mappings. For example, if μ \mu is non-atomic, then all tight Borel probability measures on Y Y can be obtained as images of μ \mu , and as a matter of fact, one can always choose the corresponding Borel mapping to be of Baire class 2.
- 1 September 2000
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 32 (3) , 720-737
On the lattice case of an almost-sure renewal theorem for branching random walks
We formulate and verify an almost-sure lattice renewal theorem for branching random walks, whose non-lattice analogue is originally due to Nerman. We also identify the limit in these renewal theorems (both lattice and non-lattice) as the limit of Kingman's well-known martingale multiplied by a deterministic factor.
- 1 September 2000
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 32 (3) , 720-737
On the lattice case of an almost-sure renewal theorem for branching random walks
We formulate and verify an almost-sure lattice renewal theorem for branching random walks, whose non-lattice analogue is originally due to Nerman. We also identify the limit in these renewal theorems (both lattice and non-lattice) as the limit of Kingman's well-known martingale multiplied by a deterministic factor.