Entropy, Randomness, and Information
نویسنده
چکیده
“If only once only once no matter where, no matter before what audience I could better the record of the great Rastelli and juggle with thirteen balls, instead of my usual twelve, I would feel that I had truly accomplished something for my country. But I am not getting any younger, and although I am still at the peak of my powers there are moments why deny it? when I begin to doubt and there is a time limit on all of us.” –Romain Gary, The talent scout.
منابع مشابه
Randomness extraction via a quantum generalization of the conditional collision entropy
Randomness extraction against side information is the art of distilling from a given source a key which is almost uniform conditioned on the side information. This paper provides randomness extraction against quantum side information whose extractable key length is given by a quantum generalization of the conditional collision entropy defined without the conventional smoothing. Based on the fac...
متن کاملPermutation Entropy for Random Binary Sequences
In this paper, we generalize the permutation entropy (PE) measure to binary sequences, which is based on Shannon’s entropy, and theoretically analyze this measure for random binary sequences. We deduce the theoretical value of PE for random binary sequences, which can be used to measure the randomness of binary sequences. We also reveal the relationship between this PE measure with other random...
متن کاملAlgorithmic randomness and physical entropy.
Algorithmic randomness provides a rigorous, entropylike measure of disorder of an individual, microscopic, definite state of a physical system. It is defined by the size (in binary digits) of the shortest message specifying the microstate uniquely up to the assumed resolution. Equivalently, algorithmic randomness can be expressed as the number of bits in the smallest program for a universal com...
متن کاملStructure and Randomness of Continuous-Time Discrete-Event Processes
Loosely speaking, the Shannon entropy rate is used to gauge a stochastic process’ intrinsic randomness; the statistical complexity gives the cost of predicting the process. We calculate, for the first time, the entropy rate and statistical complexity of stochastic processes generated by finite unifilar hidden semi-Markov models—memoryful, state-dependent versions of renewal processes. Calculati...
متن کاملChaos and randomness: An equivalence proof of a generalized version of the Shannon entropy and the Kolmogorov–Sinai entropy for Hamiltonian dynamical systems
Chaos is often explained in terms of random behaviour; and having positive Kolmogorov–Sinai entropy (KSE) is taken to be indicative of randomness. Although seemly plausible, the association of positive KSE with random behaviour needs justification since the definition of the KSE does not make reference to any notion that is connected to randomness. A common way of justifying this use of the KSE...
متن کاملEntropy Studies of Software Market Evolution
Entropy is a concept commonly used in various disciplines. In thermodynamics, it is used to measure the randomness of particles (atoms, molecules, etc.). In information theory, it is used to measure the amount of information in a program unit (variable, expression, function call, etc.) In this paper, entropy is used to measure the diversity of a marketplace. The formulas used in thermodynamics ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005