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multiple mean field limits

Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits

Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits

... AS MEAN-FIELD LIMITS MATHIEU LEWIN, PHAN TH ` ANH NAM, AND NICOLAS ROUGERIE ...the mean- field/large temperature limit of the corresponding grand-canonical ensemble for many ...

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De Finetti theorems, mean-field limits and Bose-Einstein condensation

De Finetti theorems, mean-field limits and Bose-Einstein condensation

... the mean-field approximation for equilibrium states of N -body systems in classical and quantum statistical ...N limits of admissible states for these ...the mean-field approximation ...

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Mean field limits for nonlinear spatially extended hawkes processes with exponential memory kernels

Mean field limits for nonlinear spatially extended hawkes processes with exponential memory kernels

... We consider spatially extended systems of interacting nonlinear Hawkes processes modeling large systems of neurons placed in R d and study the associated mean field limits. As the total number of ...

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Mean-field limits for some Riesz interaction gradient flows

Mean-field limits for some Riesz interaction gradient flows

... Mean-field limits for some Riesz interaction gradient flows Mitia Duerinckx This paper is concerned with the mean-field limit for the gradient flow evolution of particle systems with ...

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An example of multiple mean field limits in ergodic differential games

An example of multiple mean field limits in ergodic differential games

... the mean field game problem is the limit of the N ´person differential ...the mean field limit is a mean field ...the mean field game, the players do not observe ...

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Mean field limits for interacting Hawkes processes in a diffusive regime

Mean field limits for interacting Hawkes processes in a diffusive regime

... 2017 ) generalize this result to a multi-population frame and show how oscillations emerge in the large population limit. Note again that the interactions in both papers are scaled in N −1 , which leads to limit point ...

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Mean-field and graph limits for collective dynamics models with time-varying weights

Mean-field and graph limits for collective dynamics models with time-varying weights

... and mean-field limit In the context of the classical Hegselmann-Krause model without weights (5), the Mean-Field Limit process consists of representing the population by its density rather ...

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On Singular Limits of Mean-Field Equations

On Singular Limits of Mean-Field Equations

... The functional E is the one which is used to study in L1 the asymptotic behaviour of drift-di usion problems corresponding to a nonlinear diffusion see [CJMTU00, BDM99] for the case with[r] ...

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Long time average of mean field games

Long time average of mean field games

... - half-relaxed limits, strong maximum principle. ( Note: most of such arguments are not suitable for our system ) As far as m is concerned , if one proves that ∇u → ∇¯u, then m(t) converges to the unique invariant ...

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Mean field games with common noise

Mean field games with common noise

... The paper is organized as follows. First, Section 2 discusses the main assumptions A, definitions of strong MFG solutions, and existence of discretized MFG solutions. Section 3 defines weak MFG solutions in detail, ...

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Mean Field Games

Mean Field Games

... classical mean field approaches in Statistical Mechanics and Physics (as for instance, the derivation of Boltzmann or Vlasov equations in the kinetic theory of gases) or in Quantum Mechanics and Quantum ...

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Smooth Curve Extraction by Mean Field Annealing

Smooth Curve Extraction by Mean Field Annealing

... namely mean field annealing which combines mean field approximation and ...annealing. Mean field annealing may well be viewed as a deterministic approximation of stochastic ...

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Mean Field Forward-Backward Stochastic Differential Equations

Mean Field Forward-Backward Stochastic Differential Equations

... 3.1. Solvability of FBSDE for Mean-Field Games. In this subsection, we apply the abstract exis- tence result of Section 2 to the Mean Field Game (MFG) problem described in the introduction. ...

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Mean-field limit of generalized Hawkes processes

Mean-field limit of generalized Hawkes processes

... a mean-field interacting neu- ral network (modelled by point processes) was left as an open question in [ 11 ...this mean-field interpretation comes from the specific structure of the vari- ...

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A Mean Field Theory of Nonlinear Filtering

A Mean Field Theory of Nonlinear Filtering

... During their time evolution the particles interact one another. The nature of the interactions depends on the McKean interpretation model. Nevertheless, in all interesting cases the independence property and the adequacy ...

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Lagrangian discretization of variational mean field games

Lagrangian discretization of variational mean field games

... of mean field games: In Parts 1 to 3 of this paper, we study a lagrangian approximation of the solutions to the mean field game described ...

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Figure-Ground Discrimination by Mean Field Annealing

Figure-Ground Discrimination by Mean Field Annealing

... First, we suggest a mathematical encoding of the figure-ground discrimination problem that consists of separating shape from noise using a combinatorial optimization m[r] ...

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The generalized mean field configuration interaction method

The generalized mean field configuration interaction method

... to mean field effects of the approximate ground states of the spectator ...state mean field, (and that holds too for an excited state generalized mean field), if one intends to ...

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Dynamics of Polymers: a Mean-Field Theory

Dynamics of Polymers: a Mean-Field Theory

... dynamical mean-field theory can be rigorously derived for a simple model of flexible homopolymers in an implicit good ...the mean-field level, there is an instantaneous relation between the ...

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Dynamic Programming for Mean-field type Control

Dynamic Programming for Mean-field type Control

... existence of PDF at all times. Once the problem is reformulated with the Fokker-Planck equation, it becomes a somewhat standard exercise to find the optimality necessary conditions by a calculus of variations. So the ...

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