Geometrical aspects of possibility measures on finite domain MV-clans

Measuring Connectivity in Linear Multivariate Processes: Definitions, Interpretation, and Practical Analysis

This tutorial paper introduces a common framework for the evaluation of widely used frequency-domain measures of coupling (coherence, partial coherence) and causality (directed coherence, partial directed coherence) from the parametric representation of linear multivariate (MV) processes. After providing a comprehensive time-domain definition of the various forms of connectivity observed in MV ...

Investigation into the geometrical loop effect on tensile behavior of single bar warp-knitted fabric using finite element method

Geometry of Cores of Submodular Coherent Upper Probabilities and Possibility Measures

We study and review geometrical properties of the set of the probabilities dominated by a submodular coherent upper probability (a possibility measure, in particular) on a finite set. We mention that there exists a polynomial algorithm for vertex enumeration. A new upper bound for the number of vertices in case of possibility measures is derived.

Weak Gibbs Measures: Speed of Convergence to Entropy, Topological and Geometrical Aspects

Abstract. In this paper we obtain exponential large deviation bounds in the Shannon-McMillan-Breiman convergence formula for entropy in the case of weak Gibbs measures and topologically mixing subshifts of finite type. We also prove almost sure estimates for the error term in the convergence to entropy given by Shannon-McMillan-Breiman formula for both uniformly and non-uniformly expanding shif...

The new implicit finite difference scheme for two-sided space-time fractional partial differential equation

Fractional order partial differential equations are generalizations of classical partial differential equations. Increasingly, these models are used in applications such as fluid flow, finance and others. In this paper we examine some practical numerical methods to solve a class of initial- boundary value fractional partial differential equations with variable coefficients on a finite domain. S...