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Comparison with the Mean Field Model

Mean-Field Model of Immobilized Enzymes Embedded in a Grafted Polymer Layer

Mean-Field Model of Immobilized Enzymes Embedded in a Grafted Polymer Layer

... Fig. 4 presents the contour density profile of a protein immobilized on a hydrophobic surface with a rigid spacer of length l fix ¼ 12 in the presence of a grafted hydrophilic polymer layer. Comparison with Fig. 1 ...

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On a Boltzmann mean field model for knowledge growth

On a Boltzmann mean field model for knowledge growth

... In this paper we investigate the existence and uniqueness of solutions to a Boltz- mann mean field game (BMFG) model for knowledge growth, with a particular focus on the construction of the so-called ...

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Nonequivalent Ensembles for the Mean Field φ6 Spin Model

Nonequivalent Ensembles for the Mean Field φ6 Spin Model

... the mean field 𝜑𝜑 6 spin model in the framework of the micro-canonical ensemble as a function of the energy and ...spin model. The interesting point we found is that like φ 4 model the ...

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Spectral Gap in Mean-Field O(n)-Model

Spectral Gap in Mean-Field O(n)-Model

... 6. The Critical Regime, Proof of Theo. 3 We conclude our analysis by investigating the critical case β = n and prove Theorem 3. As before, we distinguish between n = 1 and multi-component systems n ≥ 2: 6.1. Critical ...

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A mean field model for movement induced changes in the beta rhythm

A mean field model for movement induced changes in the beta rhythm

... mass model would be ideal for this scale, if the question of interest related to rate rather than spike, which suggests instead a simulation of a spiking neural network ...a mean field reduction for ...

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Mean field games: A toy model on an Erdös-Renyi graph.

Mean field games: A toy model on an Erdös-Renyi graph.

... of mean field games cannot be systematically constructed by a contraction ...a mean field game thus requires another method; for instance, it may be based on a fixed point theorem without ...

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Conditional mean field

Conditional mean field

... original model, then incrementally reintroduce ...glass model [16]. Ernst Ising developed his model in order to explain the phenomenon of “spontaneous magnetization” in ...Ising model, but ...

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Heterogenous mean-field analysis of a generalized voter-like model on networks

Heterogenous mean-field analysis of a generalized voter-like model on networks

... heterogeneous mean-field (HMF) level that (i) yields a unified picture for existing copy/invasion processes and (ii) allows for the introduction of further heterogeneity through degree-selectivity ...our ...

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Mean field analysis of a spatial stochastic model of a gene regulatory network

Mean field analysis of a spatial stochastic model of a gene regulatory network

... A common assumption in formulating mathematical models of GRNs is that mRNA and protein molecules diffuse sufficiently quickly so that they exist in a state of spatial homogeneity. Under such an assumption, the ...

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Ill posedness of the mean field model of superconducting
vortices and a possible regularisation

Ill posedness of the mean field model of superconducting vortices and a possible regularisation

... critical field, act to destroy its superconducting ...critical field this, combined with the Meissner effect, leads to some interesting ...the field penetrates the material partially through normal ...

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A Trading Execution Model Based on Mean  Field Games and Optimal Control

A Trading Execution Model Based on Mean Field Games and Optimal Control

... Keywords Trading Execution, Mean Field Game, Optimal Control 1. Introduction In recent years technology innovation, deregulation policies and ubiquitous availability of Internet connections have determined ...

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Coexistence and evolution of shapes: mean-field-based interacting boson model

Coexistence and evolution of shapes: mean-field-based interacting boson model

... reliable mean-field description of intrinsic properties of nuclei, it has been made possi- ble to determine the IBM Hamiltonian for arbitrary nuclei, starting only from the nucleonic degrees of ...

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Mean-field games for marriage.

Mean-field games for marriage.

... Conclusion In this paper we have proposed a mean-field game model for marriage, cohabitation, divorce and remarriage. Our study suggests that the optimal effort may help in sustaining marriage and ...

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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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Animal and Plant Species in Antagonistic and Mutualistic Networks, a Multispecies  Mean Field Model

Animal and Plant Species in Antagonistic and Mutualistic Networks, a Multispecies Mean Field Model

... to model ecolo- gical ...theoretical model that explains the difference between the number of plant and animals in herbivorous and pollinator ...the model and the associated ...

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Mean Field Formulation of Maxwell Equations to Model Electrically Inhomogeneous and Isotropic Media

Mean Field Formulation of Maxwell Equations to Model Electrically Inhomogeneous and Isotropic Media

... croscopic” model, where the spatial variations of conductivity and permittivity are explicitly taken into ...“macroscopic” model, these spatial variations are taken on average by using a ...

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Extended dynamical mean-field study of the Hubbard model with long-range interactions

Extended dynamical mean-field study of the Hubbard model with long-range interactions

... account substantially longer-range interactions is mandatory to understand experimentally observed trends from Mott physics toward charge-ordering physics along this series. In particular, it was shown that long-range ...

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Corrected mean-field model for random sequential adsorption on random geometric graphs

Corrected mean-field model for random sequential adsorption on random geometric graphs

... graph model with tunable local clustering and a sparse superimposed ...network model and the intractable random geometric ...network model resulted in precise characterizations of the limiting ...

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Open-source tools for dynamical analysis of Liley's mean-field cortex model

Open-source tools for dynamical analysis of Liley's mean-field cortex model

... firing as the potential exceeds the threshold value  k . These nonlin- earities tend to form sharp transitions of the potentials across the domain. That is one reason why we opted for a finite-difference discretization ...

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A Comparison Of Mean-Variance And Mean-Semivariance Optimisation On The JSE

A Comparison Of Mean-Variance And Mean-Semivariance Optimisation On The JSE

... i.e. mean and ...result, mean-variance optimisation, while theoretically sound, may not account fully for the empirically-observed behaviour of return ...accurate model would have to include higher ...

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