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In these proceedings from the exploratory workshop held at May-July 2004 at the Max-Planck-Institut für Mathematik, participants describe their research, including their collaborative work during the workshop. Some of the topics include ergodic natural measures, odometers and Toeplitz flows, an approach to non-singular entropy, the exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries, elements of the theory of unimodular Pisot substitutions with an application to beta-shifts, anisotropic Sobolev spaces and dynamical transfer operators, Hausdorff dimensions for Martin metrics, twistwise flow equivalence (and beyond), dynamical zeta functions and symplectic Floer homology, periodic geodesics on genetic translation surfaces, actions in the infinite-dimensional nilpotent group, orbit counting, spaces of elliptic differentials, and interactions between dynamics, arithmetics and combinatorics (the good, the bad and the ugly). Annotation ©2005 Book News, Inc., Portland, OR
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Stuart Lichten
reviewed Algebraic and Topological Dynamics: Proceedings of the Conference on Algebraic and Topological Dynamics, May 1-July 31, 2004, Max-Planck-Institut Für Mathematik, Bonn, Germany on October 16, 2007
Algebraic and Topological Dynamics
"A wild dream, a fantasy. The magical maze is not like the Minotaur's labyrinth. It cannot be explored in an afternoon, a month, or a millennium. Some parts are for ever inaccessible. But even those parts that ARE accessible are already of infinite extent..."
Ian Stewart's journey through the mathematical is incredibly well written and engaging. Even if you're not interested in maths, there's plenty here to give you new insights into things that you've probably always wondered, "how does this work?"
There is plenty of history to get stuck into too, and lots of real world examples; how do pacemakers work? Or how do we send compressed image, audio or video data? How can probability be like water? How are tiling designs made?
My favourite is probably the example of Christiaan Huygens, the man who invented the pendulum clock. In 1665, ill and confined to his room, he stared at two of his clocks sharing a shelf. They were ticking in synchrony! The implications this would have for the world concerning coupled oscillators were astonishing.
If you have an interest in puzzles, maths, general knowledge or are just plain curious, then this is a book for you!
Rav.
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