Ergodic Theory, Boole Type Transformations, Dynamical Systems Theory

DOI10.1007/978-3-319-12577-0_38zbMath1327.34016OpenAlexW245284845MaRDI QIDQ2949287

Anatoliy K. Prykarpatsky

Publication date: 8 October 2015

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12577-0_38

zbMATH Keywords

invariant measuresFrobenius-Perron operatorergodic dynamical systemsarithmetic propertiesgeneralized Boole type transformations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elliptic equations (35J60) Linear ordinary differential equations and systems (34A30) Linear boundary value problems for ordinary differential equations (34B05) Strong solutions to PDEs (35D35) PDEs in connection with statistical mechanics (35Q82)

Related Items (2)

The two-dimensional Boole-type transform and its ergodicity ⋮ A central limit theorem for the Birkhoff sum of the Riemann zeta-function over a Boolean type transformation

Cites Work

• Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations
• A geometrical approach to quantum holonomic computing algorithms
• The eigenvalues of non-singular transformations
• The ergodic infinite measure preserving transformation of Boole
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Arithmetic progressions - an operator theoretic view
• The primes contain arbitrarily long arithmetic progressions
• A Remark on the Exactness of Inner Functions
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