The problem of calculating the maximal Lyapunov exponent of a discrete inclusion (or equivalently its generalized spectral radius) is formulated as an average yield optimal control problem. It is shown that the maximal value of this problem can be approximated by the maximal value of discounted optimal control problems, where for irreducible inclusions the convergence is linear in the discount ...

The problem of calculating the maximal Lyapunov exponent (generalized spectral radius) of a discrete inclusion is formulated as an average yield optimal control problem. It is shown that the maximal value of this problem can be approximated by the maximal value of discounted optimal control problems, where for irreducible inclusions the convergence is linear in the discount rate. This result is...

Let $G$ be a $p$-group of order $p^n$ and $Phi$=$Phi(G)$ be the Frattini subgroup of $G$. It is shown that the nilpotency class of $Autf(G)$, the group of all automorphisms of $G$ centralizing $G/ Fr(G)$, takes the maximum value $n-2$ if and only if $G$ is of maximal class. We also determine the nilpotency class of $Autf(G)$ when $G$ is a finite abelian $p$-group.

This paper develops a bi-objective portfolio selection problem that maximizes returns and minimizes a risk measure called conditional Drawdown (CDD). The drawdown measures include the maximal Drawdown and Average Drawdown as its limiting case. The CDD family of risk functional is similar to conditional value at Risk (CVaR). In this paper, the fuzzy method has been used to solve the bi-objec...

Introduction: Follicular Lymphoma (FL) is an indolent disease: despite the efficacy of treatment strategies in inducing remission, high risk patients relapse within two years and others on long term. Despite encouraging studies prognostic role Total Metabolic Tumor Volume (TMTV) SUVmax at baseline PET/CT needs to be better defined. Methods: Retrospective observational monocentric cohort study p...

Abstract End-point maximal $$L^1$$ L1 -regularity for parabolic initial-boundary value problems is considered. For the inhomogeneous Dirichlet and Neumann data, established in time end-point case upon homogeneous Besov space $${\dot{B}}_{p,1}^s({\mathbb {R}}^n_+)$$ xmlns:mm...

Background: Brucellosis is a world-wide disease, which has a diverse clinical manifestation, and its diagnosis has to be proven by laboratory data. Serum agglutination test (SAT) is the most-widely used test for diagnosing brucellosis. The enzyme linked immunosorbent assay (ELISA) can also determine specific antibody classes against brucella. It is a sensitive, simple and rapid test, which coul...