Even though black hole scalarization is extensively studied recently, little has been done in the direction of understanding dynamics this process, especially rapidly rotating regime. In present paper, we focus exactly on problem by considering nonlinear scalar field while neglecting backreaction spacetime metric. This approach proven to give good results various scenarios and have explicitly d...

We study spontaneous scalarization of electrically charged extremal black holes in $D\geq 4$ spacetime dimensions. Such a phenomenon is caused by the symmetry breaking due to quartic interactions scalar -- Higgs potential and Stueckelberg interaction with electromagnetic gravitational fields, characterized couplings $a$ $b$, respectively. use entropy representation states vicinity horizon, appl...

Furstenberg [7] and Lyons and Sullivan [14] have shown how to discretize harmonic functions on a Riemannian manifold M whose Brownian motion satisfies a certain recurrence property called ∗-recurrence. We study analogues of this discretization for tensor fields which are harmonic in the sense of the covariant Laplacian. We show that, under certain restrictions on the holonomy of the connection,...

In this work, it is described a gait multiobjective optimization system that allows to obtain fast but stable robot quadruped crawl gaits. We combine bioinspired Central Patterns Generators (CPGs) and Genetic Algorithms (GA). A motion architecture based on CPGs oscillators is used to model the locomotion of the robot dog and a GA is used to search parameterizations of the CPGs parameters which ...

A two-stage artificial neural network (ANN) based on scalarization method is proposed for bilevel biobjective programming problem (BLBOP). The induced set of the BLBOP is firstly expressed as the set of minimal solutions of a biobjective optimization problem by using scalar approach, and then the whole efficient set of the BLBOP is derived by the proposed two-stage ANN for exploring the induced...

In this paper, by virtue of a nonlinear scalarization function, two nonlinear weak separation functions, a nonlinear regular weak separation function, and a nonlinear strong separation function are first introduced, respectively. Then, by the image space analysis, a global saddle-point condition for a nonlinear function is investigated. It is shown that the existence of a saddle point is equiva...

Abstract In this paper we present results on dynamic multivariate scalar risk measures, which arise in markets with transaction costs and systemic risk. Dual representations of such measures are presented. These then used to obtain the main time consistency; namely, an equivalent recursive formulation multiportfolio consistency. We motivated study consistency as superhedging measure (with a sin...

The decomposition-based multi-objective evolutionary algorithm (MOEA/D) transforms a optimization problem (MOP) into set of single-objective subproblems for collaborative optimization. Mismatches between and solutions can lead to severe performance degradation MOEA/D. Most existing mismatch coping strategies only work when the L∞ scalarization is used. A strategy that use any Lp scalarization, ...