We develop a systematic approach to the study of independence in topological dynamics
with an emphasis on combinatorial methods. One of our principal aims is to combinatorialize …

It is well known that for a transitive dynamical system (X, f) sensitivity to initial conditions
follows from the assumption that the periodic points are dense. This was done by several …

Local entropy theory Page 1 Ergod. Th. & Dynam. Sys. (2009), 29, 321–356 c 2008 Cambridge
University Press doi:10.1017/S0143385708080309 Printed in the United Kingdom SURVEY …

We introduce mean dimensions for continuous actions of countable sofic groups on compact
metrizable spaces. These generalize the Gromov–Lindenstrauss–Weiss mean dimensions …

A dynamical version of the Bourgain-Fremlin-Talagrand dichotomy shows that the
envelo** semigroup of a dynamical system is either very large and contains a topological …

This is a survey of the theory of envelo** semigroups in topological dynamics. We review
the, already classical, theory of envelo** semigroups, due mainly to Robert Ellis, and then …

In this work, on the one hand, we survey and amplify old results concerning tame dynamical
systems and, on the other, prove some new results and exhibit new examples of such …

We study several distinguished function algebras on a Polish group G, under the
assumption that G is Roelcke precompact. We do this by means of the model-theoretic …

We use the structure theory of minimal dynamical systems to show that, for a general group
Γ Γ, a tame, metric, minimal dynamical system (X, Γ)(X, Γ) has the following structure: Here …

A dynamical version of the Bourgain–Fremlin–Talagrand dichotomy shows that the
envelo** semigroup of a dynamical system is either very large and contains a topological …