Dynamics: Topology and Numbers

ISBN-13: 9781470451004

Pieter Moree;Anke Pohl;L'ubomir Snoha

Opis

This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2-6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.

Spis treści

• L. Snoha, The life and mathematics of Sergii Kolyada
• I. Kolyada, A. Blokh, and L. Snoha, Recollections about Sergii Kolyada
• P. Moree, Sergiy and the MPIM
• Y. I. Manin and M. Marcolli, Homotopy types and geometries below ${\rm Spec}(\mathbb)$
• A. Fel'shtyn and M. Zietek, Dynamical zeta functions of Riedemeister type and representations spaces
• O. Jenkinson and M. Pollicott, Rigorous dimension estimates for Cantor sets arising in Zaremba theory
• P. Colognese and M. Pollicott, Volume growth for infinite graphs and translation surfaces
• J. Byszewski, G. Cornelissen, M. Houben, and L. Van Der Meijden, Dynamically affine maps in positive characteristic
• S. Kolyada, M. Misiurewicz, and L. Snoha, Special $\alpha$-limit sets
• E. Shi and X. Ye, Equicontinuity of minimal sets for amenable group actions on dendrites
• E. Akin, E. Glasner, and B. Weiss, On weak rigidity and weakly mixing enveloping semigroups
• A. Ganguly and A. Ghosh, The inhomogenous Sprindzhuk conjecture over a local field of positive characteristic
• A. Blokh, L. Oversteegen, and V. Timorin, Dynamical generation of parameter laminations
• P. Oprocha, T. Yu, and Guohua Zhang, Multi-sensitivity, multi-transitivity and $\delta$-transitivity
• R. Sharp, Convergence of zeta functions for amenable group extensions of shifts
• S. Bezuglyi and O. Karpel, Invariant measures for Cantor dynamical systems
• M. Kapovich, Periods of abelian differentials and dynamics
• J. Riedl and D. Schleicher, Crossed renormalization of quadratic polynomials.