Some Characterization Theorems for Generalized Measures of Uncertainty and Information.
Some decompositions of Bernoulli sets and codes
A decomposition of a set of words over a -letter alphabet is any sequence of subsets of such that the sets , are pairwise disjoint, their union is , and for all , , , where denotes the commutative equivalence relation. We introduce some suitable decompositions that we call good, admissible, and normal. A normal decomposition is admissible and an admissible decomposition is good. We prove that a set is commutatively prefix if and only if it has a normal decomposition. In particular,...
Some decompositions of Bernoulli sets and codes
A decomposition of a set X of words over a d-letter alphabet A = {a1,...,ad} is any sequence X1,...,Xd,Y1,...,Yd of subsets of A* such that the sets Xi, i = 1,...,d, are pairwise disjoint, their union is X, and for all i, 1 ≤ i ≤ d, Xi ~ aiYi, where ~ denotes the commutative equivalence relation. We introduce some suitable decompositions that we call good, admissible, and normal. A normal decomposition is admissible and an admissible decomposition is good. We prove that a set is commutatively prefix...
Some Free Submonoids of the Free Monoid of Prefix Codes.
Some functionals on sets of stationary codes
Some informational properties of Markov pure-jump processes
Some new optimum Golomb rectangles.
Some noiseless coding theorem connected with Havrda and Charvat and Tsallis's entropy
Some nonlinear shift register generators
Some observations on the cryptographic hash functions.
Some properties of -frames of subspaces.
Some remarks on entropic distance, entropic measure of connexion and Hamming distance
Some results concerning maximum Rényi entropy distributions
Some results on a generalized useful information measure.
Some stationary source and joint source-channel coding theorems with a fidelity criterion
Some theorems on geometric measure of distortion
Sous-monoides et codes avec des mots infinis.
Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai
The paper provides a review of A.M. Mathai's applications of the theory of special functions, particularly generalized hypergeometric functions, to problems in stellar physics and formation of structure in the Universe and to questions related to reaction, diffusion, and reaction-diffusion models. The essay also highlights Mathai's recent work on entropic, distributional, and differential pathways to basic concepts in statistical mechanics, making use of his earlier research results in information...
Special issue on decentralized control of large scale complex systems
This special issue provides information on current and future research directions in the emerging field of Decentralized Control of Large Scale Complex Systems. There is generally adopted view that a dynamic system is large scale complex whenever it is necessary to partition its analysis or synthesis problem to manageable subproblems. Its fundamental characteristics in modeling and control are high dimensionality, uncertainty, information structure constraints, and delays. Theory of large scale...
Spectrum of Signals.