Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"mean-field limit"”.
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Collective behaviour of active particles with mean-field interaction
… allows the particles to anticipate the chemical field. We show typical particle trajectories for the linear model with several background chemical fields. The behaviour includes (damped) oscillations that are predicted by the inviscid linearised theory. We also show the typical trajectories for …
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Dynamics of a fully stochastic discretized neuronal model with excitatory and inhibitory neurons
… and synchronous behavior, since the model limits on a mean-field deterministic system with multiple attractors. Our work investigates adding inhibition into the model. The new model exhibits the same metastable phases, but also exhibits new non-monotonic behavior that was not seen in the …
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Design and analysis of particle-based algorithms for nonlinear filtering and sampling
… that the distribution of the particles, in the mean-field limit, is exactly equal to the posterior distribution. In Part I of this thesis, three separate problems related to the FPF methodology and algorithm are addressed. The first problem, addressed in Chapter 2 of the thesis, is concerned …
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Scale selection in hydromagnetic dynamos
… of magnetic activity. The Sun’s magnetic field exhibits coherence in space and time on much larger scales than the turbulent convection that ultimately powers the dynamo. Motivated by the scale separation considerations, in this thesis we study the parametric scale selection of dynamo …
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Electromagnetic response of time-reversal breaking metallic phases in two dimensions
… the method of higher dimensional bosonization. Mean-field calculations show that the order parameter is two two-component real vectors [Sun and Fradkin 2008]. There are two phases: the beta phase in which the two order parameters are perpendicular and the alpha phase in which they are parallel. …
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Inverse Problems in Agent-Based Models of Spatial Phenomena
… data is combinatorially large. In its continuous mean-field limit, the ODM is governed by a stochastic mechanistic force of spatial interaction. As a result, solving the inverse problem requires inverting both the summary statistic and the underlying mechanistic operators. Existing approaches …
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Distributed content collection and rank aggregation
… recommendation strategies to make decisions with limited knowledge and collect items that are available from the contacted peers. The goal is to maximize the rate at which peers collect their most preferred items. Correlated preferences are modeled as rankings generated by a Plackett-Luce ranking …
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Contributions in fractional diffusive limit and wave turbulence in kinetic theory
… wave turbulence theory and we study them via mean-field limits of finite stochastic particle systems. $\textbf{Anomalous transport from kinetic models.}$ The goal is to understand how fractional diffusion arises from kinetic equations. We explain how fractional diffusion corresponds to …
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Mathematical models in evolutionary dynamics
… proposed by Martin Nowak. We consider both a mean field deterministic approach and a weak noise stochastic approach, but the focus is on latter which is an uncommon approach for this type of model. The second model is an extension of a competitive exclusion model studied by DeVille et. al. We …
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Shock phenomena for the one-dimensional Boltzmann equation and related kinetic problems
… Navier- Stokes equations in the many particle mean-field limit, where vortices are assumed to be of mixed-sign. The main method of this chapter is to prove propagation of chaos of the stochastic differential equation by comparison to the mean-field equation and relative entropy methods. More …