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The 3x+1 problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer x is odd then "multiply by three and add one", while if it is even then "divide by two." The 3x+1 problem asks whether, starting from any posit…
Large deviations and thermodynamical formalism: The almost Borel structure of diffeomorphisms with some hyperbolicity / Jérôme Buzzi. Lectures on large deviations in probability and dynamical systems / Yuri Kifer. Thermodynamic formalism for countable Markov shifts / Omri M. Sar…
This volume contains the proceedings of the semester-long special program on Hyperbolic Dynamics, Large Deviations and Fluctuations, which was held from January-June 2013, at the Centre Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne, Switzerland. The broad t…
Fractal geometry and dynamical systems in pure and applied mathematics
by Mandelbrot, Benoît B., Lapidus, Michel L., (Michel Laurent), PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, Messina, Italy), Carfi, David, Pearse, Erin P. J., Van Frankenhuysen, Machiel
fromContemporary mathematics (American Mathematical Society)
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Type: Book
"This volume contains cutting-edge research from leading experts in ergodic theory, dynamical systems and group actions. A large part of the volume addresses various aspects of ergodic theory of general group actions including local entropy theory, universal minimal spaces, mini…
This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of exa…
