Multivariate tempered stable random measures (ISRMs) are constructed and their corresponding space of integrable functions is characterized in terms a quasi-norm utilizing the so-called Rosinski measure law. In special case exponential ISRMs operator-fractional fields presented by moving-average harmonizable representation, respectively.

Asset management and pricing models require the proper modeling of the return distribution of financial assets. While the return distribution used in the traditional theories of asset pricing and portfolio selection is the normal distribution, numerous studies that have investigated the empirical behavior of asset returns in financial markets throughout the world reject the hypothesis that asse...

We investigate to what degree results in dimension theory and multifractal formalism can be derived as a direct consequence of thermodynamic properties of a dynamical system. We show that under quite general conditions, various multifractal spectra (the entropy spectrum for Birkhoff averages and the dimension spectrum for pointwise dimensions, among others) may be obtained as Legendre transform...

Background: Temperament is a critical concept in Persian Medicine (PM) school, and its determinants independently affect human metabolism. Objectives: The present study investigated the potential relationship between PM-based temperament metabolic parameters. Methods: This cross-sectional was carried out at PERSIAN Organizational Cohort Study Mashhad University of Medical Sciences Research Cent...

In this paper, a stochastic integral of Ornstein–Uhlenbeck type is represented to be the sum of two independent random variables: one has a tempered stable distribution and the other has a compound Poisson distribution. In distribution, the compound Poisson random variable is equal to the sum of a Poisson-distributed number of positive random variables, which are independent and identically dis...

This article concerns the asymptotic behavior of solutions to the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains. First we introduce a continuous cocycle for the equations and then prove the existence and uniqueness of tempered random attractors. We also characterize the structures of the random attractors by comp...

We prove a strong induction theorem and classify the tempered and square integrable representations of graded Hecke algebras.