Ergodic theorems for individual random sequences
From MaRDI portal
Publication:1275009
DOI10.1016/S0304-3975(98)00072-3zbMath0915.68092MaRDI QIDQ1275009
Publication date: 12 January 1999
Published in: Theoretical Computer Science (Search for Journal in Brave)
algorithmic information theoryKolmogorov complexityShannon-McMillan-Breiman theoremBirkhoff's ergodic theoremindividual random sequence
Related Items
On stability of probability laws with respect to small violations of algorithmic randomness ⋮ UNIVERSAL CODING AND PREDICTION ON ERGODIC RANDOM POINTS ⋮ USING ALMOST-EVERYWHERE THEOREMS FROM ANALYSIS TO STUDY RANDOMNESS ⋮ A NOTE ON THE LEARNING-THEORETIC CHARACTERIZATIONS OF RANDOMNESS AND CONVERGENCE ⋮ Numeration and discrete dynamical systems ⋮ Algorithmic randomness and monotone complexity on product space ⋮ Lowness, Randomness, and Computable Analysis ⋮ Computability theory. Abstracts from the workshop held January 7--13, 2018 ⋮ A Characterization of Constructive Dimension ⋮ Uncomputably noisy ergodic limits ⋮ Randomness and Determination, from Physics and Computing towards Biology ⋮ Algorithmic tests and randomness with respect to a class of measures ⋮ A characterization of constructive dimension ⋮ The metamathematics of ergodic theory ⋮ From exact sciences to life phenomena: Following Schrödinger and Turing on programs, life and causality ⋮ Randomness and the Ergodic Decomposition ⋮ Non-stochastic infinite and finite sequences ⋮ Computable randomness and betting for computable probability spaces ⋮ Effective symbolic dynamics, random points, statistical behavior, complexity and entropy ⋮ Oscillation and the mean ergodic theorem for uniformly convex Banach spaces ⋮ Computable Measure Theory and Algorithmic Randomness
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Shannon-McMillan-Breiman theorem for a class of amenable groups
- Process complexity and effective random tests
- Can an individual sequence of zeros and ones be random?
- Combinatorial foundations of information theory and the calculus of probabilities
- The Law of the Iterated Logarithm for Random Kolmogorov, or Chaotic, Sequences
- Algorithms and Randomness
- Exact Expressions for Some Randomness Tests
- Subadditive mean ergodic theorems
- Logical basis for information theory and probability theory
- THE COMPLEXITY OF FINITE OBJECTS AND THE DEVELOPMENT OF THE CONCEPTS OF INFORMATION AND RANDOMNESS BY MEANS OF THE THEORY OF ALGORITHMS
- The definition of random sequences