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Chaitin's omega and an algorithmic phase transition

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Publication:2668248
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DOI10.1016/j.physa.2021.126458OpenAlexW3204677836MaRDI QIDQ2668248

Christoph Schmidhuber

Publication date: 3 March 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09231

zbMATH Keywords

complexityphase transitionstring theoryTuring machineChaitin's omegaalgorithmic thermodynamics


Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)




Cites Work

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  • Natural halting probabilities, partial randomness, and zeta functions
  • A generalization of Chaitin's halting probability \(\Omega\) and halting self-similar sets
  • One complexity theorist's view of quantum computing
  • Exactly marginal operators and running coupling constants in two-dimensional gravity.
  • Phase Transition between Unidirectionality and Bidirectionality
  • Phase Transition and Strong Predictability
  • Dependence of dissipation on the initial distribution over states
  • Irreversibility and Heat Generation in the Computing Process
  • A Theory of Program Size Formally Identical to Information Theory
  • A formal theory of inductive inference. Part II
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