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Arithmetical representations of Brownian motion I

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9780470316962openalex-snapshot
Convergence of Probability Measures
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Algorithms in modern mathematics and computer science
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Brownian Motion
inferredcites →https://doi.org/10.1007/978-1-4757-3860-5openalex-snapshot
An Introduction to Kolmogorov Complexity and Its Applications
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An Introduction to Kolmogorov Complexity and Its Applications
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Recursion-Theoretic Hierarchies
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�ber dyadische Br�che
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�ber das Gesetz des iterierten Logarithmus
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The definition of random sequences
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Functional Integration and Quantum Physics
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Algorithmic Information Theory
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Von Mises' definition of random sequences reconsidered
inferredcites →https://doi.org/10.1080/00401706.1973.10489100openalex-snapshot
Brownian Motion and Diffusion
inferredcites →https://doi.org/10.1088/0031-9112/31/7/032openalex-snapshot
Functional Integration and Quantum Physics
inferredcites →https://doi.org/10.1112/jlms/54.1.199openalex-snapshot
Descriptive Complexity and Reflective Properties of Combinatorial Configurations
inferredcites →https://doi.org/10.1137/1132061openalex-snapshot
The Law of the Iterated Logarithm for Random Kolmogorov, or Chaotic, Sequences
inferredcites →https://doi.org/10.1145/321356.321363openalex-snapshot
On the Length of Programs for Computing Finite Binary Sequences
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On the Length of Programs for Computing Finite Binary Sequences
inferredcites →https://doi.org/10.1147/rd.214.0350openalex-snapshot
Algorithmic Information Theory
inferredcites →https://doi.org/10.2307/1402124openalex-snapshot
Convergence of Probability Measures
inferredcites →https://doi.org/10.2307/2291440openalex-snapshot
Probability and Measure.
inferredcites →https://doi.org/10.2307/2344430openalex-snapshot
Brownian Motion and Diffusion.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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The Descriptive Complexity of Brownian Motion
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Computable Measure Theory and Algorithmic Randomness
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The Law of the Iterated Logarithm for Algorithmically Random Brownian Motion
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Automata, Languages and Programming
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Applications of Effective Probability Theory to Martin-Löf Randomness
inferred← citeshttps://doi.org/10.1007/978-3-642-03073-4_22openalex-snapshot
Fractals Generated by Algorithmically Random Brownian Motion
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Algorithmic randomness of continuous functions
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Martin-Löf randomness and Galton–Watson processes
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On the Kolmogorov complexity of continuous real functions
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Algorithmically random series and Brownian motion
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Random Continuous Functions
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Computability of probability measures and Martin-Löf randomness over metric spaces
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The descriptive complexity of stochastic integration
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Zeno machines and hypercomputation
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Dynamics of a generic Brownian motion: Recursive aspects
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Effective dimension of points visited by Brownian motion
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A domain-theoretic approach to Brownian motion and general continuous stochastic processes
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On local times of Martin-Löf random Brownian motion
inferred← citeshttps://doi.org/10.1017/9781108781718openalex-snapshot
Algorithmic Randomness
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Algorithmic randomness and layerwise computability
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MARTIN-LÖF RANDOMNESS IN SPACES OF CLOSED SETS
inferred← citeshttps://doi.org/10.1017/s0960129513000157openalex-snapshot
On the computability of a construction of Brownian motion
inferred← citeshttps://doi.org/10.1017/s0960129513000273openalex-snapshot
Kolmogorov complexity and the geometry of Brownian motion
inferred← citeshttps://doi.org/10.1090/s0002-9939-2011-10741-xopenalex-snapshot
Kolmogorov complexity and strong approximation of Brownian motion
inferred← citeshttps://doi.org/10.1093/logcom/exm033openalex-snapshot
Algorithmic Randomness of Closed Sets
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K-Triviality of Closed Sets and Continuous Functions
inferred← citeshttps://doi.org/10.1145/2603088.2603102openalex-snapshot
A domain-theoretic approach to Brownian motion and general continuous stochastic processes
inferred← citeshttps://doi.org/10.1515/9781614518044.139openalex-snapshot
Diophantine properties of brownian motion: recursive aspects
inferred← citeshttps://doi.org/10.18452/15490openalex-snapshot
Contract-based web service composition
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Domain-Theoretic Stochastic Edalat Integration: Wiener, Feynman, and Stochastic Integrals for Partial Processes
inferred← citeshttps://doi.org/10.2168/lmcs-10(3:20)2014openalex-snapshot
Fourier spectra of measures associated with algorithmically random Brownian motion
inferred← citeshttps://doi.org/10.2168/lmcs-8(1:23)2012openalex-snapshot
The rapid points of a complex oscillation
inferred← citeshttps://doi.org/10.3390/axioms12080727openalex-snapshot
Typical = Random
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Measure, category and projective wellorders
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10.4115/jla.v6i0.219
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10.4115/jla.v6i0.222
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Diophantine properties of Brownian motion: recursive aspects
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Algorithmically random Fourier series and Brownian motion
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On the close interaction between algorithmic randomness and constructive/computable measure theory
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