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Mean-field approach

CiteSeerX — A GENERALIZED MEAN FIELD APPROACH TO THE POLARON

CiteSeerX — A GENERALIZED MEAN FIELD APPROACH TO THE POLARON

... The electron interacts with ions, which are not rigidly fixed. Thus, the electron polarizes the lattice in its neighborhood, and if the electron moves about, the polari- zation state moves with it. This electron, ...

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Continuous time mean-variance portfolio optimization through the mean field approach

Continuous time mean-variance portfolio optimization through the mean field approach

... principle approach mentioned above works directly with the limit model, that is, with the optimal control problem of McKean-Vlasov ...This approach is most useful when the convexity assumptions on the costs ...

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Large amplitude motion with a stochastic mean-field approach

Large amplitude motion with a stochastic mean-field approach

... stochastic mean-field approach, an ensemble of initial conditions is considered to incorporate correlations beyond the ...This approach provides a rather simple tool to better describe ...

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Effect of band filling in the Kondo lattice: A mean-field approach

Effect of band filling in the Kondo lattice: A mean-field approach

... the self-consistent determination of these parameters, we cal- culate the free energy, the specific heat, and the single- particle density of states. We focus on the changes observed when one moves away from half ...

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Cluster mean field approach to the steady state phase diagram of dissipative spin systems

Cluster mean field approach to the steady state phase diagram of dissipative spin systems

... standard mean-field treatment derives from assuming that the cluster is formed by a single ...The mean-field approach represents a crude approxima- tion for a many-body interacting ...

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Decomposition and Mean-Field Approach to Mixed Integer Optimal Compensation Problems

Decomposition and Mean-Field Approach to Mixed Integer Optimal Compensation Problems

... a mean-field coupled multi-agent system problem, where each agent seeks to compensate a combination of an exoge- nous signal and the local state ...population mean-field ...

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Decomposition and Mean-Field Approach to Mixed Integer Optimal Compensation Problems

Decomposition and Mean-Field Approach to Mixed Integer Optimal Compensation Problems

... The main contributions of this work can therefore be summarized as fol- lows: First, we draw a connection between game theory and a class of mixed integer control problems by decomposing an n-dimensional optimization ...

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An introduction to mathematical models of
coagulation fragmentation processes:
a discrete deterministic mean field approach

An introduction to mathematical models of coagulation fragmentation processes: a discrete deterministic mean field approach

... The importance of deterministic mean field equations lies in their wide range of applicability. There is a considerable literature on the existence and uniqueness of solutions to discrete and continuous ...

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Mean-field games for marriage.

Mean-field games for marriage.

... a mean-field approach is suitable for such an ...use mean-field games to capture the influence of society distribution of states on a generic ...

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Mean field electrodynamics: triumphs and tribulations

Mean field electrodynamics: triumphs and tribulations

... the mean field approach leads to what is known as an αω-dynamo: the toroidal field arises from the shearing of the poloidal component by the differential rotation ω; the α-effect still has to ...

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Mean field games: prospects and intuitions

Mean field games: prospects and intuitions

... Following [6], an important existence and uniqueness result can be proved for this setting under some adequate assumptions. We highlight that this coupled-type problem has been introduced less than ten years ago and ...

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Mean Field Energy Games in Wireless Networks

Mean Field Energy Games in Wireless Networks

... a mean field game, taking into account the limited energy available to mobile transmitters, and the effects of channel ...the mean field approach offers interesting and useful ...

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Corruption and botnet defense : a mean field game approach

Corruption and botnet defense : a mean field game approach

... general mean-field-game model with 2d states, d ∈ N, that extends the models of Kolokoltsov and Malafeyev (2015) and Kolokoltsov and Bensoussan ...of mean-field games, namely, what is the ...

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A Mean Field Game Theoretic Approach to Electric Vehicles Charging

A Mean Field Game Theoretic Approach to Electric Vehicles Charging

... Game theory is a powerful tool for understanding and modelling mathematically the interaction of various rational decision makers. Applying game theoretic formulation to various optimisation problems has attracted a lot ...

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Conditional mean field

Conditional mean field

... different approach is to remove constraints (or factors) from the original model, then incrementally reintroduce ...fruitful approach for approximate counting [12], simulation of protein folding, and ...

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Density flow over networks: A mean-field game theoretic approach

Density flow over networks: A mean-field game theoretic approach

... Version: Accepted Version Proceedings Paper: Bauso, D., Zhang, X. and Papachristodoulou, A. (2015) Density flow over networks: A mean-field game theoretic approach. In: Proceedings of the IEEE ...

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Mean field kinetic theory approach to evaporation of a binary liquid into vacuum

Mean field kinetic theory approach to evaporation of a binary liquid into vacuum

... Figure 3(b) reports the full temperature along with the longitudinal and transversal temperatures. The latter measure the dispersion of the full distribution function along the directions perpendicular and parallel to ...

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PROBABILISTIC APPROACH TO MEAN FIELD GAMES AND THE CONTROL OF MCKEAN-VLASOV DYNAMICS

PROBABILISTIC APPROACH TO MEAN FIELD GAMES AND THE CONTROL OF MCKEAN-VLASOV DYNAMICS

... I Define the type of desired equilibrium (Nash, Pareto. MFG problem) provides approximate () equilibria for problems if (N) finite many players.. solve the fixed point problem) FIRST 2.[r] ...
Notes on Mean Field Games

Notes on Mean Field Games

... As for the second part of the program, the limiting behavior of differential games when the number of players tend to infinity has been understood only for ergodic differential games [45]. The general case remains ...

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Finite mean field games: fictitious play and convergence to a first order continuous mean field game

Finite mean field games: fictitious play and convergence to a first order continuous mean field game

... In this article we consider finite Mean Field Games (MFGs), i.e. with finite time and finite states. We adopt the framework introduced in [16] and study two seemly unexplored subjects. In the first one, we ...

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