The policy iteration method is a classical algorithm for solving optimal control problems. We introduce Mean Field Games systems and we prove, under monotonicity assumption on the coupling cost, convergence of this procedure to solution problem.

Opacities and chemical abundance data are crucial ingredients of ultracool dwarf and extrasolar giant planet atmosphere models. We report here on the detailed sources of molecular opacity data employed by our group for this application. We also present tables of Rosseland and Planck mean opacities which are of use in some studies of the atmospheres, interiors, and evolution of planets and brown...

This paper presents a novel adaptive algorithm using mean reversion strategy without transaction cost. The antiocr algorithm only exploits the property of “reversal to the mean” and its performance not only significantly depends on the size of window but also fluctuates wildly according to the different size of window. To overcome these limitations, this proposed algorithm is designed to deal w...

The relativistic mean field theory is applied to study some exotic properties of neutron rich nuclei as recently observed, namely, extension of the drip-line for F nuclei from 29 F to 31 F and the appearence of a new shell closure at neutron number N = 16. We find 31 F to be bound against one-neutron dripping but unbound only marginally for two neutron separation. The calculated functional depe...

based on principal component analysis (pca), gge biplot analysis is an effective method to fully assess multienvironmental yield trials (mets). additive main effects and multiplicative interaction (ammi) is an alternative method for assessing phenotypic stability and adaptability. in this research, met data of 14 maize inbred lines were used to perform ammi and gge biplot analyses. these genoty...

Accurate component alignment and joint line reproduction in total knee replacement (TKR) is crucial for successful clinical outcome. Advances in instrumentation and better understanding of the biomechanics can help to achieve better three dimensional alignments of TKR components and joint line restoration. We compared the accuracy of component alignment and joint line restoration with the use o...

In the present work, we determine the fraction of magnetic field lines that reach the tokamak wall leaving the plasma surrounded by a chaotic layer created by resonant perturbations at the plasma edge. The chaotic layer arises in a scenario where an integrable magnetic field with reversed magnetic shear is perturbed by an ergodic magnetic limiter. For each considered line, we calculate its conn...

Recently, nuclear structure in neutron-rich nuclei has attracted much attention because of its exotic nature, such as halo and skin 1) 3). Recent advances of secondary beam techniques allow us to measure useful structure information on masses, interaction cross sections and excited states. The shell structure is one of essential issues in nuclear structure. Recently, the magic numbers in the ne...

In this paper we analyze energy functionals concentrated on the discontinuity lines of unitlength, divergence-free 2D vector fields. The motivation comes from thin-film micromagnetics where these functionals correspond to mesoscopic wall-energies. A natural issue consists in characterizing the line-energy densities for which the functionals are lower semicontinuous for a relevant topology. In f...