Seminar Asymptotic geometric analysis

This seminar is part of the DFG project Limit theorems for the volume of random projections of lp balls which is jointly conducted by the probability team in Bochum and the functional analysis team at the University of Passau. The seminar takes place online on Thursday from 9.30 - 11.00, please send an e-Mail to Christoph Thäle if you would like to participate. The seminar continues in the summer term.

Summer term 2024

Our goal in this semester is to understand the relevance of the KLS conjecture and some recent progress around it. In addition, we want to give an access to the work of M. Talagrand who recently received the  2024 The seminar plan is as follows:

1. The KLS conjecture I
   May 30, 2024, Philipp Tuchel

2. The KLS conjecture II
   June 6, 2024, Tristan Schiller

3. Spurema of Gaussian processes I
   June 20, 2024, tba

4. Spurema of Gaussian processes II
   June 27, 2024, tba

5. Spurema of Gaussian processes III
   July 3, 2024, tba

6. Spurema of Gaussian processes IV
   July 11, 2024, tba

7. Spurema of Gaussian processes V
   July 18, 2024, tba

Winter term 2023/2024

Our goal in this semester is to read parts of the monograph Asymptotic Theory of Finite Dimensional Normed Spaces by V. Milman and G. Schechtman. The seminar plan is as follows:

1. The Haar measure
   October 19, 2023, Marco Krause

2. The isoperimetric inequality on the sphere
   November 2, 2023, Philipp Tuchel

3. Almost Euclidean subspaces of a normed space
   November 16, 2023, Mathias Sonnleitner

4. Almost Euclidean subspaces of lpn spaces
   November 30, 2023, Michael Juhos  

5. Levy families
   December 14, 2023, Tristan Schiller

Publications within the DFG project

C. Aistleitner, L. Frühwirth, J. Prochno: Diophantine conditions in the law of the iterated logarithm for lacunary systems
Probability Theory and Related Fields (2024)

Z. Kabluchko, J. Prochno, M. Sonnleitner: A probabilistic approach to Lorentz balls
To appear in Journal of Functional Analysis (2024+)

J. Prochno, M. Strzelecka: Moderate deviation principles and Mod-Gaussian convergence for lacunary trigonometric sums
Preprint

M. Juhos, L. Frühwirth, J. Prochno: The Maclaurin inequality through the probabilistic lens
Preprint

M. Sonnleitner, C. Thäle: A note on critical intersections of classical and Schatten p-balls
Preprint

J. Prochno: The large and moderate deviations approach in geometric functional analysis
Preprint

C. Schütt, N. Turchi, C. Thäle, E. Werner: Weighted floating functions and weighted functional affine surface areas
Preprint

J. Prochno, C. Schütt, M. Sonnleitner, E. Werner: Random approximation of convex bodies in Hausdorff metric
Preprint

J. Prochno, M. Sonnleitner, J. Vybíral: Entropy numbers of finite-dimensional Lorentz space embeddings
Preprint

M. Juhos, Z. Kabluchko, J. Prochno: Asymptotic theory of Schatten classes
Preprint

E. Dare, M. Kiderlen, C. Thäle: A Blaschke-Petkantschin formula for linear and affine subspaces with application to intersection probabilities
Preprint