On information in categories
On Information-Improvement.
On Information-Improvement and its Generalization.
On kissing numbers in dimensions 32 to 128.
On (..., k)-Normal Words in Connecting Dynamical Systems.
On limiting towards the boundaries of exponential families
This work studies the standard exponential families of probability measures on Euclidean spaces that have finite supports. In such a family parameterized by means, the mean is supposed to move along a segment inside the convex support towards an endpoint on the boundary of the support. Limit behavior of several quantities related to the exponential family is described explicitly. In particular, the variance functions and information divergences are studied around the boundary.
On linear recursion and pseudorandomness
On linguistic dynamical systems, families of graphs of large girth, and cryptography.
On -dimensional unified -Jensen difference divergence measures and their applications
On maximal QROBDD’s of boolean functions
We investigate the structure of “worst-case” quasi reduced ordered decision diagrams and Boolean functions whose truth tables are associated to: we suggest different ways to count and enumerate them. We, then, introduce a notion of complexity which leads to the concept of “hard” Boolean functions as functions whose QROBDD are “worst-case” ones. So we exhibit the relation between hard functions and the Storage Access function (also known as Multiplexer).
On maximal QROBDD's of Boolean functions
We investigate the structure of “worst-case” quasi reduced ordered decision diagrams and Boolean functions whose truth tables are associated to: we suggest different ways to count and enumerate them. We, then, introduce a notion of complexity which leads to the concept of “hard” Boolean functions as functions whose QROBDD are “worst-case” ones. So we exhibit the relation between hard functions and the Storage Access function (also known as Multiplexer).
On McEliece's theorem.
On M.D.S. codes, arcs in PG(n,q) with q even, and a solution of three fundamental problems of B. Segre.
On measurable solutions of a functional equation and its application to information theory
On measurable solutions of a functional equation and their application to information theory
In this paper, measurable solutions of a functional equation with four unknown functions are obtained. As an application of the measurable solutions a joint characterization of Shannon’s entropy and entropy of type is given.
On measures of relative ‘useful’ information
On measuring the fuzziness and the nonfuzziness of intuitionistic fuzzy sets.
On metric divergences of probability measures
Standard properties of -divergences of probability measures are widely applied in various areas of information processing. Among the desirable supplementary properties facilitating employment of mathematical methods is the metricity of -divergences, or the metricity of their powers. This paper extends the previously known family of -divergences with these properties. The extension consists of a continuum of -divergences which are squared metric distances and which are mostly new but include...
On middle universal weak and cross inverse property loops with equal length of inverse cycles.
On minimal factorisations of sporadic groups.