A Statistical Mechanical Interpretation of Algorithmic Information Theory
This book is the first one that provides a solid bridge between algorithmic information theory and statistical mechanics. Algorithmic information theory (AIT) is a theory of program size and recently is also known as algorithmic randomness. AIT provides a framework for characterizing the notion of r...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Singapore :
Springer Singapore : Imprint: Springer,
2019.
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Έκδοση: | 1st ed. 2019. |
Σειρά: | SpringerBriefs in Mathematical Physics,
36 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Statistical Mechanical Interpretation of Noiseless Source Coding
- Algorithmic Information Theory
- Partial Randomness
- Temperature Equals to Partial Randomness
- Fixed Point Theorems on Partial Randomness
- Statistical Mechanical Meaning of the Thermodynamic Quantities of AIT
- The Partial Randomness of Recursively Enumerable Reals
- Computation-Theoretic Clarification of the Phase Transition at Temperature T=1
- Other Related Results and Future Development. .