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On the origin of spaces: Morphometric foundations of urban form evolution
The modern discipline of urban morphology gives us a ground for the comparative analysis of cities, which increasingly includes specific quantitative elements. In this paper, we make a further step…
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Form and urban change – An urban morphometric study of five gentrified neighbourhoods in London
Research in Urban Morphology has long been exploring the form of cities and their changes over time, especially by establishing links with the parallel dynamics of these cities’ social, economic and…
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Boltzmann-type control of opinion consensus through leaders
TLDR
A group of opinion leaders who modify their strategy accordingly to an objective functional with the aim of achieving opinion consensus are considered and the validity of the Boltzmann-type control approach and the capability of the leaders’ control to strategically lead the followers’ opinion are demonstrated.
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Wealth distribution under the spread of infectious diseases.
TLDR
A mathematical framework to study the economic impact of infectious diseases by integrating epidemiological dynamics with a kinetic model of wealth exchange and simulations confirm the ability of the model to describe different phenomenon characteristics of economic trends in situations compromised by the rapid spread of an epidemic.
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Monte Carlo gPC Methods for Diffusive Kinetic Flocking Models with Uncertainties
TLDR
Several tests on a kinetic alignment model with self propulsion validate the proposed methods both in the homogeneous and inhomogeneous setting, shading light on the influence of uncertainties in phase transition phenomena driven by noise such as their smoothing and confidence bands.
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Urban Morphometrics: Towards a Science of Urban Evolution
Urban theorists, social reformists and philosophers have considered the city as a living organism since Plato. However, despite extraordinary advancements in evolutionary biology, now being used to…
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Structure preserving stochastic Galerkin methods for Fokker-Planck equations with background interactions
  • M. Zanella
  • Mathematics
    Math. Comput. Simul.
  • 28 January 2019
View PDF on arXiv
Social contacts and the spread of infectious diseases
TLDR
A mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamic with a kinetic modeling of population-based contacts to clarify how a selective control can be assumed to achieve a minimal lockdown strategy.
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Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics
TLDR
The kinetic modeling of epidemic phenomena through the use of kinetic equations is extended to spatially dependent settings using multiscale transport models that can characterize the impact of movement dynamics on epidemic advancement on both one-dimensional networks and realistic two-dimensional geographic settings.
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Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications
TLDR
The construction of numerical schemes for nonlinear Fokker–Planck equations that preserve the structural properties, like non negativity of the solution, entropy dissipation and large time behavior are focused on.
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