Results 1 to 10 of about 120,279 (166)
A Quadratic Mean Field Games Model for the Langevin Equation [PDF]
Axioms, 2021 We consider a Mean Field Games model where the dynamics of the agents is given by a controlled Langevin equation and the cost is quadratic. An appropriate change of variables transforms the Mean Field Games system into a system of two coupled kinetic Fokker–Planck equations.
Fabio Camilli
openaire +6 more sources
Optimal inequalities for bounding Toader mean by arithmetic and quadratic means [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we present the best possible parameters [Formula: see text] and [Formula: see text] such that the double inequality [Formula: see text] holds for all [Formula: see text] and [Formula: see text] with [Formula: see text], and we provide new bounds for the complete elliptic integral [Formula: see text] [Formula: see text] of the second kind,
Tie-Hong Zhao, Yu-Ming Chu, Wen Zhang
openaire +4 more sources
Mean-field type quadratic BSDEs
Numerical Algebra, Control and Optimization, 2023 In this paper, we give several new results on solvability of a quadratic BSDE whose generator depends also on the mean of both variables. First, we consider such a BSDE using John-Nirenberg's inequality for BMO martingales to estimate its contribution to the evolution of the first unknown variable.
Ying Hu, Shanjian Tang
exaly +4 more sources
Linear-Quadratic Mean Field Games [PDF]
Journal of Optimization Theory and Applications, 2015 In this article, we provide a comprehensive study of the linear-quadratic mean field games via the adjoint equation approach; although the problem has been considered in the literature by Huang, Caines and Malhame (HCM, 2007a), their method is based on Dynamic Programming.
S C P Yam
exaly +6 more sources
Backward-forward linear-quadratic mean-field Stackelberg games
Advances in Difference Equations, 2021 This paper studies a controlled backward-forward linear-quadratic-Gaussian (LQG) large population system in Stackelberg games. The leader agent is of backward state and follower agents are of forward state.
Kehan Si, Zhen Wu
doaj +1 more source
Quadratic mean-field reflected BSDEs
Probability, Uncertainty and Quantitative Risk, 2022 <p style='text-indent:20px;'>In this paper, we analyze mean-field reflected backward stochastic differential equations when the driver has quadratic growth in the second unknown <inline-formula><tex-math id="M1">\begin{document}$ z $\end{document}</tex-math></inline-formula>.
Hu, Ying, Moreau, Remi, Wang, Falei
openaire +5 more sources
Alternative expressions for stand diameter in complex forests
Forest Ecosystems, 2023 Quadratic mean diameter is the most frequently reported descriptor of the diameter distribution of forests. As such, it is often used as an indicator of forest stand structure, developmental stage, and ecological and economic potential.
Mark J. Ducey, John A. Kershaw, Jr.
doaj +1 more source
IEEE Access, 2022 High-data-rate impulse radio ultra-wideband (IR-UWB) wireless communication system suffers from serious intersymbol interference (ISI) issues in an indoor multipath environment.
Gang Wang, Min Lin, Qianyun Liu
doaj +1 more source
Journal of Mathematical Analysis and Applications, 2003 The paper considers expressions of the form \( {\mathfrak M} = f_1 \mp\sqrt{f_2}\) where \(f_1, f_2\), is a symmetric form of degree \(1, 2,\) in \(n\) variables. The case where \(f_1=0\) has been considered by the second author [Math. Inequal. Appl. 6, 581--593 (2003; Zbl 1047.26015)]. Using suitable bases for the two spaces of forms these expressions
Abu-Saris, Raghib, Hajja, Mowaffaq
openaire +2 more sources
Quadratic interpolation of the Heinz means [PDF]
Mathematical Inequalities & Applications, 2018 The main goal of this article is to present several quadratic refinements and reverses of the well known Heinz inequality, for numbers and matrices, where the refining term is a quadratic function in the mean parameters. The proposed idea introduces a new approach to these inequalities, where polynomial interpolation of the Heinz function plays a major
Kittaneh, Fuad +2 more
openaire +2 more sources