Limit Theorems in Probability, Statistics and Number Theory

1. A Conversation with Friedrich Götze
Willem R. Zwet

Part I. Number Theory

2. Distribution of Algebraic Numbers and Metric Theory of Diophantine Approximation
V. Bernik, V. Beresnevich, F. Götze, O. Kukso

3. Fine-Scale Statistics for the Multidimensional Farey Sequence
Jens Marklof

Part II. Probability Theory

4. On the Problem of Reversibility of the Entropy Power Inequality
Sergey G. Bobkov, Mokshay M. Madiman

5. On Probability Measures with Unbounded Angular Ratio
G. P. Chistyakov

6. CLT for Stationary Normal Markov Chains via Generalized Coboundaries
Mikhail Gordin

7. Operator-Valued and Multivariate Free Berry-Esseen Theorems
Tobias Mai, Roland Speicher

8. A Characterization of Small and Large Time Limit Laws for Self-normalized Lévy Processes
Ross Maller, David M. Mason

Part III. Statistics and Combinatorics

9. A Nonparametric Theory of Statistics on Manifolds
Rabi Bhattacharya

10. Proportion of Gaps and Fluctuations of the Optimal Score in Random Sequence Comparison
Jüri Lember, Heinrich Matzinger, Felipe Torres

11. Some Approximation Problems in Statistics and Probability
Yuri V. Prokhorov, Vladimir V. Ulyanov

Part IV. Random Matrices

12. Moderate Deviations for the Determinant of Wigner Matrices
Hanna Döring, Peter Eichelsbacher

13. The Semicircle Law for Matrices with Dependent Entries
Olga Friesen, Matthias Löwe

14. Limit Theorems for Random Matrices
Alexander Tikhomirov

Keywords: Mathematics, Probability Theory and Stochastic Processes, Functional Analysis, Number Theory