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Everything about Entropy rate
Time density of the average information in a stochastic process
In the mathematical theory of probability, the entropy rate or source information rate of a stochastic process is, informally, the time density of the average information in a stochastic process. For stochastic processes with a countable index, the entropy rate is the limit of the joint entropy of members of the process divided by, as tends to infinity: Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Entropy rateA 5-minute orientation
- Skim a recent paper: Using High-Entropy Configuration Strategy to Design Na-Ion Layered Oxide Cathodes with Superior Electrochemical Performance and Thermal StabilityInfluential work since 2022
- Pick up a classic book: Dynamical Systems, Ergodic Theory, and ProbabilityThe most-reprinted book on the subject
- Read the landmark paper: Kolmogorov-Sinai Entropy Rate versus Physical EntropyCited 180 times
- Go sideways: Asymptotic equipartition propertyA closely related topic
- Go sideways: Typical setA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Kolmogorov-Sinai Entropy Rate versus Physical Entropy
A rate process with an entropy barrier
The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems
Wigner Entropy Production Rate
Turbulent fluxes and entropy production rate
Some properties of Rényi entropy and Rényi entropy rate
Renyi Entropy Measures of Heart Rate Gaussianity
Caloric Restriction, Metabolic Rate, and Entropy
🆕 Influential since 2022
Using High-Entropy Configuration Strategy to Design Na-Ion Layered Oxide Cathodes with Superior Electrochemical Performance and Thermal Stability
Strain-rate effects and dynamic behavior of high entropy alloys
Entropy generation rate minimization for sulfur trioxide decomposition membrane reactor
Entropy Analysis of Heart Rate Variability in Different Sleep Stages
Entropy production rate and correlations in a cavity magnomechanical system
📚 Books worth reading
- 📕Dynamical Systems, Ergodic Theory, and ProbabilityAlexander M. Blokh, Leonid A. Bunimovich · 2017
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Asymptotic equipartition property In information theory, the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source. It is fundamental…
- Typical set In information theory, the typical set is a set of sequences whose probability is approximately 2−nH(X), where H(X) is the entropy of the source and n…
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- Shannon's source coding theorem In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for…
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- Bernoulli process In probability and statistics, a Bernoulli process (named after Jacob Bernoulli) is a finite or infinite sequence of binary random variables, so it is…