Analysis Seminar in Crete (2010-11)

Σεμιναριο Αναλυσης

In chronological ordering

DATE TIME ROOM SPEAKER FROM TITLE
Mon, 27 Sept 2010 19:15 Z301 Apostolos Giannopoulos Univ. of Athens Subgaussian directions and mean width of isotropic convex bodies
Tue, 5 Oct 2010 19:15 Z.301 Christos Papachristodoulos University of Crete Density topologies
Tue, 12 Oct 2010 19:15 Z.301 Mihalis Marias Aristotle University of Thessaloniki Analysis on Hyperbolic Manifolds
Tue, 19 Oct 2010 19:15 Z.301 Nikos Frantzikinakis University of Crete Equidistribution on the circle and other less Abelian structures
Tue, 26 Oct 2010 19:15 Z.301 Mihalis Loulakis University of Crete Conditional distribution of heavy-tailed random variables on large deviations of their sum
Abstract: It is known that large deviations of sums of subexponential random variables are most likely realised by a deviation of a single one of them. We give a detailed picture of how subexponential random variables are distributed when a large deviation of their sum is observed. Contrary to what happens for random variables with finite exponential moments, here conditioning affects only one variable in the limit -the largest, while the rest of them become asymptotically independent. Joint work with Ines Armendariz.
Tue, 2 Nov 2010 19:15 Z.301 Nikos Samaris University of Patras Kinds and criteria for starlike holomorphic functions
Tue, 23 Nov 2010 19:15 Z.301 Georgios Costakis University of Crete Frequent hypercyclicity and multiple recurrence (joint with I. Parissis)
Tue, 30 Nov 2010 19:15 Z.301 Manolis Katsoprinakis University of Crete Poncelet ellipses and curves
Tue, 7 Dec 2010 19:15 Z.301 Mihalis Kolountzakis University of Crete Checkerboard discrepancies for circles of fixed radius
Tue, 14 Dec 2010 19:15 Z.301 Mihalis Mourgoglou University of Missouri--Columbia ${C^\alpha}$ and $BMO$ solvability of Dirichlet problem for divergence form elliptic equations with complex $L^{\infty}$ coefficients.
Tue, 15 Feb 2011 19:15 Z.301 Stathis Filippas University of Crete Hardy inequalities with trace and estimates for the fractional Laplacian
Tue, 22 Feb 2011 19:00 ΡΑ 101 Christos Saroglou University of Crete Problems on convex bodies: Extremal values of functionals, special positions (PhD Thesis defense)
Abstract: a. Characterizations of the convex bodies which maximize or minimize some functionals of Sylvester type.
b. Partial results concerning the conjectures of Petty and Schneider for the volume of projection bodies.
c. Negative answer to a question of Giannopoulos and Milman concerning the relation between the minimal surface position and the M-position of a convex body.
Tue, 1 Mar 2011 19:15 Z.301 Lefteris Nikolidakis University of Crete Bellman functions and extremal problems related to the dyadic maximal operator
Tue, 8 Mar 2011 19:15 Z.301 Nikos Dafnis University of Crete Small ball probability estimates, $\Psi_2$-behavior and the hyperplane conjecture
Tue, 15 Mar 2011 19:15 Z.301 Mihalis Kolountzakis University of Crete Periodicity of the spectrum of a finite union of intervals
Abstract: A set $\Omega$, of Lebesgue measure 1, in the real line is called spectral if there is a set $\Lambda$ of real numbers such that the exponential functions $e_\lambda(x) = \exp(2\pi i \lambda x)$, $\lambda\in\Lambda$, form a complete orthonormal system on $L^2(\Omega)$. Such a set $\Lambda$ is called a spectrum of $\Omega$. In this note we present a simplified proof of the fact that any spectrum $\Lambda$ of a set $\Omega$ which is finite union of intervals must be periodic. The original proof is due to Bose and Madan (2010).
Tue, 22 Mar 2011 19:15 Z.301 Nikos Frantzikinakis University of Crete Random sequences and ergodic averages
Tue, 5 Apr 2011 19:15 Z.301 Christos Papachristodoulos University of Crete Conditions for convergence of sequences of measurable functions
Fri, 8 Apr 2011 18:30 Z.301 Konstantinos Panteris University of Crete Moebius invariant spaces of analytic functions (MSc thesis presentation)
Tue, 12 Apr 2011 19:15 Z.301 Mihalis Kolountzakis University of Crete Open problems related to the Steinhaus tiling problem
Wed, 4 May 2011 19:15 Z.301 Antonis Manoussakis Technical Univ. of Crete Minimal and quasi-minimal Banach spaces
Abstract: We shall talk about minimal and quasiminimal Banach spaces, further refiniment of the these notions as well and for Schlumprecht class 2 operators in such spaces.
Tue, 9 May 2011 19:15 Z.301 Daniel Aalto University of Helsinki Hardy-Littlewood maximal in doubling metric measure spaces
Tue, 24 May 2011 19:15 Z.301 Lefteris Nikolidakis University of Crete Weights and Reverse Holder inequalities:The dyadic case
Thu, 2 Jun 2011 18:15 Z.301 Qing Chu Univ. de Marne la Vallee Extensions and multiple ergodic averages
Abstract: The norm convergence of multiple ergodic averages for commuting transformations was firstly proved by T.Tao using finitary methods. Afterwards, two ergodic proofs were given by T. Austin and B. Host. The idea of using an extension of the original system was shared by both proofs. However, the constructions of the extension are different. In this talk, we will discuss the similarities and differences between these two constructions.
Thu, 2 Jun 2011 19:15 Z.301 Bernard Host Univ. de Marne la Vallee How to recognize a nilsequence?
Abstract: Nilsequences are generalizations of the classical almost periodic sequences. They were introduced first in ergodic theory for the study of higher order recurrence and correlations. More recently, they were also used in a completely different domain, namely additive combinatorics. The talk is intended to be an introduction to the subject. After the definition and some basic exmaples of nilsequences, we show some questions where they occur, and conclude by a combinatorial characterization (joint work with B. Kra and A. Maass).
Mon, 6 Jun 2011 11:15 Z.301 Mate Matolcsi Renyi Institute Applications and extensions of Delsarte's linear programming bound
Abstract: In this talk I will first recall the general Fourier analytic method of Delsarte to give upper bounds on the cardinality of sets with some prescribed differences in Abelian groups. I will then survey some recent progress that has been made in applications of this method. Namely, I will discuss mutually unbiased bases, and mutually orthogonal Latin squares. In both cases we will introduce a modification of Delsarte's method taking into account the special combinatorial properties of the problems.
Tue, 7 Jun 2011 11:15 Z.301 Sinai Robins NTU Singapore Multiple tilings in ${\mathbb R}^d$ using translates of a convex tile
Tue, 12 Jul 2011 18:15 Z.301 Ciprian Demeter Indiana University Progress on the HRT conjecture
Abstract: The HRT conjecture asserts that the time-frequency translates of any nontrivial function in $L^2({\mathbb R})$ are linearly independent. Prior to our work, the only result on HRT of a reasonably general nature was Linnell's proof in the case when the translates belong to a lattice. I will briefly describe an alternative argument to Linnell's (joint work with Zubin Gautam), inspired by the theory of random Schrodinger operators. Then I will explore a number theoretical approach to the HRT conjecture, for some special 4 point configurations.

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