Department of Mathematics: The Analysis Seminar in Crete (2011-2012) -- Σεμινάριο Ανάλυσης

DATE	TIME	ROOM	SPEAKER	FROM	TITLE
Wed, 28 Sep 2011	19:15	Z.301	Nikos Frantzikinakis	University of Crete	Multiple ergodic averages with commuting transformations and iterates given by Hardy sequences of different growth
Wed, 28 Sep 2011	We study the limiting behavior of multiple ergodic averages involving commuting transformations and sequences of integers that satisfy some regularity conditions and have polynomial growth. The sequences we consider are defined using the so called logarithmico-exponential functions of Hardy. Assuming that these sequences have different growth (and one more mild technical condition) we show that the corresponding ergodic averages converge in the mean and we get a simple formula for the limit. We deduce from this some combinatorial consequences.
Thu, 6 Oct 2011	19:15	Z.301	Georgios Costakis	University of Crete	Divergence of the partial sums of Fourier and Taylor series
Wed, 12 Oct 2011	19:15	Z.301	Perikles Pavlakos	Technical University of Crete	On the structure of non-dentable subsets of $C(\omega^{\omega^\kappa})$
Wed, 19 Oct 2011	19:15	Z.301	Themis Mitsis	University of Crete	Constants in reverse Holder inequalities
Wed, 26 Oct 2011	19:15	Z.301	Georgios Costakis	University of Crete	Divergence of the partial sums of Fourier and Taylor series (continued)
Wed, 2 Nov 2011	19:15	Z.301	Nikos Frantzikinakis, Mihalis Kolountzakis	University of Crete	Paul Erdos, 15 years later
Wed, 2 Nov 2011	A documentary about Paul Erdos (Paul Csicsery, N is a number: a portrait of Paul Erdos, 1991) will be shown after the talk. Snacks will be served.
Wed, 9 Nov 2011	19:15	Z.301	Themis Mitsis	University of Crete	VMO and asymptotic Jensen inequalities
Wed, 16 Nov 2011	19:15	Z.301	Mihalis Kolountzakis	University of Crete	The size of orthogonal sets of exponentials for the disk
Wed, 23 Nov 2011	19:15	Z.301	Romanos Malikiosis	University of Crete	Rotating stripes
Wed, 30 Nov 2011	19:15	Z.301	Lefteris Nikolidakis	University of Crete	On maximal functions
Wed, 7 Dec 2011	19:15	Z.301	Achilles Tertikas	University of Crete	On an open problem raised by Frank and Seiringer
Wed, 8 Feb 2012	13:15	Z.301	Aristos Siskakis	University of Thessaloniki	The Hilbert matrix operator on spaces of analytic functions
Wed, 22 Feb 2012	13:15	Z.301	Christos Papadimitropoulos	University of Athens	Salem sets in locally compact fields and the Hausdorff-Young inequality.
Tue, 28 Feb 2012	13:15	Z.301	Christos Papachristodoulos	Athens	Universal approximations in arbitrary domains.
Fri, 9 Mar 2012	12:15	Z.301	Petros Galanopoulos	Athens	Generalized Hilbert operator.
Wed, 21 Mar 2012	13:15	Z.301	Dinakar Ramakrishnan	Caltech	Tchebotarev's theorem and some analogues.
Wed, 4 Apr 2012	13:15	Z.301	Petros Valettas	University of Athens	Subgaussian directions on isotropic convex bodies.
Wed, 25 Apr 2012	13:15	Z.301	Costas Poulios	University of Athens	Fixed points for non-expansive maps on tree spaces.
Wed, 2 May 2012	13:15	Z.301	Mihalis Loulakis	National Technical University of Athens	Zero range condensation at criticality.
Wed, 2 May 2012	Zero Range Processes with decreasing rates are interacting particle systems exhibiting a phase transition with condensation. Precisely, there is a critical particle density $\rho^$, above which a positive fraction of the total mass in the system concentrates on one site. In this work we describe how the condensate emerges as we increase the number of particles from subcritical to supercritical density. We consider processes with $N$ particles on $L$ sites, with $N=\rho^L+o(L)$, and we show limit theorems for the size and the fluctuations of the maximum component. These results explain how the condensate grows from size $O(\log L )$ with Gumbel fluctuations below criticality to size $O(L)$ with normal fluctuations above for supercritical densities. [Joint work with Ines Armendariz, Buenos Aires, and Stefan Grosskinsky, Warwick.]
Wed, 9 May 2012	13:15	Z.301	Stamatis Pouliasis	University of Thessaloniki	A capacity inequality for holomorphic functions.
Wed, 16 May 2012	13:15	Z.301	Mihalis Kolountzakis	University of Crete	In which domains can one do Fourier Analysis?
Wed, 23 May 2012	13:15	Z.301	Beatrice-Helen Vritsiou	University of Athens	Geometry of isotropic logarithmically-concave measures.
Wed, 30 May 2012	13:15	Z.301	Bernard Host	Universite Paris-Est Marne-la-Vallee	Multiple ergodic averages and multiple recurrence along primes and "Higher order Fourier analysis".
Wed, 30 May 2012	Several results of convergence about multiple recurrence and about convergence of multiple ergodic averages were proved recently. Our question is: does the multiple recurrence hold with the return times taken in some given subset of the integers? Do the convergence results hold when the averages are taken on this subset? More specifically, in this talk we consider the case that the subset in question is the set of prime numbers. The proof makes an essential use of the "inverse theorem" recently proved by Green, Tao and Ziegler. This is common work with Nikos Frantzikinakis and Bryna Kra.
Wed, 6 June 2012	13:15	Z.301	Nikos Pattakos	Michigan State University	The Muckenhaupt $A_{\infty}$ class as a metric space.
Tue, 26 June 2012	13:30	Z.301	Nikos Dafnis	University of Alberta	Estimates for affine and dual quermassintegrals of convex bodies
Wed, 27 June 2012	13:15	Z.301	Demetrios Christodoulou	ETH Zurich	The Analysis of Shock Formation in 3-dimensional Fluids I
Thu, 28 June 2012	13:15	Z.301	Demetrios Christodoulou	ETH Zurich	The Analysis of Shock Formation in 3-dimensional Fluids II
Wed, 25 July 2012	16:15	Z.301	Jim Campbell	University of Memphis	A generalized IP-multiple recurrence theorem, with examples

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