in studying the problems of complex systems, usually the noise is considered in relation 10 the concept of order. it means that order is assumed as the basic feature of system, per se. information also conceptually is used to be connected to entropy. negentropy , order, and disorder, proposed in thermodynamics in 19 century. but in recent theories, order and disorder both are the devices for me...

We introduce an axiomatic approach to entropies and relative that relies only on minimal information-theoretic axioms, namely monotonicity under mixing data-processing as well additivity for product distributions. find these axioms induce sufficient structure establish continuity in the interior of probability simplex meaningful upper lower bounds, e.g., we every entropy satisfying must lie bet...

using the usual definitions of information and entropy in quantum gravity and statistical mechanics and the existing views about the relation between information and complexity, we examine the evolution of complexity in an ever expanding universe.

in this paper at rst, a history of mathematical models is given.next, some basic information about random variables, stochastic processesand markov chains is introduced. as follows, the entropy for a discrete timemarkov process is mentioned. after that, the entropy for sis stochastic modelsis computed, and it is proved that an epidemic will be disappeared after a longtime.