4 papers
Full Randomness in the Higher Difference Structure of Two-state Markov Chains
A. Yu. Shahverdian
The paper studies the higher-order absolute differences taken from progressive terms of time-homogenous binary Markov chains. Two theorems presented are the limiting theorems for t…
Discrete Capacity and Higher-order Differences of Two-state Markov Chains
A. Yu. Shahverdian
The paper studies the time-homogeneous two-state Markov chains; the states are assumed to be binary symbols 0 and 1. The higher-order absolute differences taken from progressive st…
Some Applications of the Difference Analysis for Stochastic Systems
A. Yu. Shahverdian, A. V. Apkarian
The work relates to a new way for analysis of one-dimensional stochastic systems, based on consideration of its higher order difference structure. From this point of view, the dete…
The Finite-Difference Analysis and Time Flow
Ashot Yu. Shahverdian
The paper introduces a one dimensional analogy of Poincare's "section" method. Its application to numerical study of sequences of fractional parts is considered. As a result, the p…