Volume 5, Number 6, 2020


Special Issue on Dynamical Systems, Ergodic Theory and Mathematical Physics, Part I
Dedicated to Professor Yakov Sinai on the occasion of his 85th birthday

Preface: S. Jitomirskaya, D. Li, S. Reich and A. J. Zaslavski

Hassan Attarchi and Leonid A. Bunimovich
Bridge to hyperbolic polygonal billiards

Artur Avila, Konstantin Khanin and Martin Leguil
Invariant graphs and spectral type of Schrödinger operators

Victor Chulaevsky and Sasha Sodin
Anderson localisation in stationary ensembles of quasiperiodic operators

Dmitry Dolgopyat and Ilya Goldsheid
Local limit theorems for random walks in a random environment on a strip

Rupert L. Frank, Konstantin Merz, Heinz Siedentop and Barry Simon
Proof of the strong Scott conjecture for Chandrasekhar atoms

Alexander Gomilko, Mariusz Lemanczyk and Thierry de la Rue
Möbius orthogonality in density for zero entropy dynamical systems

Michael Jakobson
Method of parameter exclusion. some recollections and some new results

Leonid Pastur
On random matrices arising in deep neural networks: Gaussian case

Terence Tao
On the universality of the incompressible Euler equation on compact manifolds, II. Non-rigidity of Euler flows

Weinan E, Chao Ma and Lei Wu
The generalization error of the minimum-norm solutions for over-parameterized neural networks


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