Department of Mathematics: The Analysis Seminar in Crete

Analysis Seminar in Crete (1999/00)

In reverse chronological ordering

Analysis Seminar in Crete

Week of 28/8 - 1/9/2000

Single elements of operator algebras

Week of 21/8 - 25/8/2000

Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle

Week of 7/8 - 11/8/2000

Some problems in calculus of several variables
related to sublevel sets

Week of 26/6 - 30/6/2000

Distribution of lattice points in convex domains

Week of 19/6 - 25/6/2000

Two days of talks in Analysis

Spring 2000

Week of 22/5 - 26/5/2000

The Komlos conjecture

Week of 15/5 - 19/5/2000

The diameter of the Banach-Mazur compactum

The Ising model revisited

Week of 8/5 - 12/5/2000

The Minkowski-Hlawka theorem

Week of 17/4 - 21/4/2000

Enumeration problems in Statistical Mechanics II

Solving algebraic equations with the method of sparse resultants

Week of 10/4 - 14/4/2000

On the best constant in Sobolev's inequality

Topological characterizations of the plane

Week of 3/4 - 7/4/2000

Indices of invariant subspaces in Banach spaces of Analytic functions

Enumeration problems in Statistical Mechanics

Week of 27/3 - 31/3/2000

The structure of multiple translational tilings by polygonal regions

Exponential decay of probabilities in the subcritical phase (continued)

Week of 20/3 - 24/3/2000

No analysis seminars this week.

Week of 13/3 - 17/3/2000

Semiclassical Analysis of the focusing Nonlinear Schroedinger Equation

Exponential decay in the subcritical phase (continued)

Week of 6/3 - 10/3/2000

Convex hull of a random set of vertices of the cube

Russo's Formula and exponential decay in the subcritical phase

Week of 28/2 - 3/3/2000

Restricted invertibility

Bond percolation in two dimensions

Week of 21/2 - 25/2/2000

Continuity properties of the percolation probability
in the general case and in the case d=2

Week of 14/2 - 18/2/2000

Restricted invertibility

Uniqueness of the infinite cluster and calculation
of $p_c(2)$ as a consequence of this

Week of 7/2 - 11/2/2000

A conjecture of D. Herrero on hypercyclic operators

Introduction to the Ising model

Week of 31/1 - 4/2/2000

Introduction to two-dimensional percolation

A localization lemma of Lovasz and Simonovits

Fall 1999

Week of 13/12 - 17/12/99

Reconstruction of sets of numbers from the triples they contain

Homeomorphisms of the circle

Week of 6/12 - 11/12/99

Thin sets in harmonic analysis and the Baire category theorem

Interpolation methods in the theory of Banach spaces

Oseledec Theorem II: Sketch of proof in two dimensions
Multiparameter Ergodic Theorems

Week of 29/11 - 3/12/99

The constants in the theorem of M. Riesz on the conjugate function

Applications of Kingman's Theorem.
The multiplicative ergodic theorem of Oseledec.

Week of 22/11 - 26/11/99

$L^2$-best approximations for singular functions in the complex plane
with applications to numerical conformal mappings

Applications of Kingman's Theorem

Week of 15/11 - 19/11/99

Kingman's Subbaditive Ergodic Theorem

Week of 8/11 - 12/11/99

Universal Faber series

1. The spaces $M_T(X)$ and $E_T(X)$ of invariant and ergodic measures of a continuous endomorphism.
2. Recurrence

Week of 1/11 - 5/11/99

Universal Faber series

Generalized rotation numbers

Week of 25/10 - 29/10/99

Diameter of random sections of a convex body

Week of 18/10 - 22/10/99

Levy families: the martingale method

Examples of ergodic transformations II: Shift spaces. Uniquely ergodic systems

Week of 11/10 - 15/10/99

Fuglede's problem on $L^2$-bases for domains, consisting of exponentials

Concentration property on probability spaces

Examples of ergodic transformations and applications of Birkhoff's theorem

Week of 4/10 - 8/10/99

Fuglede's problem on $L^2$-bases for domains, consisting of exponentials

The Central Limit Problem for convex bodies

Birkhoff's ergodic theorem

Week of 27/9 - 1/10/99

Minkowski's second theorem

Introduction

Week of 20/9 - 24/9/99

Ball, Haagerup, and distribution functions

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