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The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particu…
In this book, Yakov B. Pesin introduces a new area of research that has recently appeared in the interface between dimension theory and the theory of dynamical systems. Focusing on invariant fractals and their influence on stochastic properties of systems, Pesin provides a compr…
This paper has two major purposes: to develop a theory of types for the category of nonsingular injective modules over an arbitrary ring, and to construct dimension functions which determine the isomorphism classes of the nonsingular injective modules.
