Results 11 to 20 of about 74 (39)
Boundary-Layer Analysis of Repelling Particles Pushed to an Impenetrable Barrier [PDF]
SIAM Journal on Mathematical Analysis, 2021 This paper considers the equilibrium positions of n particles in one dimension. Two forces act on the particles; a nonlocal repulsive particle-interaction force and an external force which pushes them to an impenetrable barrier. While the continuum limit
P. Meurs
semanticscholar +1 more source
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1312-1323, October 2021., 2021 Abstract We present a direct proof of asymptotic consensus in the non‐linear Hegselmann–Krause model with transmission‐type delay, where the communication weights depend on the particle distance in phase space. Our approach is based on an explicit estimate of the shrinkage of the group diameter on finite time intervals and avoids the usage of Lyapunov ...
Jan Haskovec
wiley +1 more source
Reproducibility of serum testing for environmental allergen‐specific IgE in dogs in Europe
Veterinary Dermatology, Volume 32, Issue 3, Page 251-e67, June 2021., 2021 Background – Serum testing for allergen‐specific immunoglobulin (Ig)E is commonly employed to identify allergens used for allergen‐specific immunotherapy in dogs, yet the reliability of results has been a matter of debate. Objective – The aim of this study was to evaluate the reproducibility of serum tests for environmental allergen‐specific IgE in ...
Katja N. Baumann +4 more
wiley +1 more source
Stochastic ranking process with time dependent intensities [PDF]
, 2010 We consider the stochastic ranking process with space-time dependent jump rates for the particles. The process is a simplified model of the time evolution of the rankings such as sales ranks at online bookstores.
Yuu Hariya +5 more
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Emergent behaviours of a non-abelian quantum synchronisation model over the unitary group
European Journal of Applied MathematicsWe introduce a new non-abelian quantum synchronisation model over the unitary group, represented as a gradient flow, where state matrices asymptotically converge to a common one up to phase translation.
Dohyun Kim, Jeongho Kim
doaj +1 more source
Uniform propagation of chaos for a dollar exchange econophysics model
European Journal of Applied MathematicsWe study the poor-biased model for money exchange introduced in Cao & Motsch ((2023) Kinet. Relat. Models 16(5), 764–794.): agents are being randomly picked at a rate proportional to their current wealth, and then the selected agent gives a dollar to ...
Fei Cao, Roberto Cortez
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Network-based kinetic models: Emergence of a statistical description of the graph topology
European Journal of Applied MathematicsIn this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent systems.
Marco Nurisso +2 more
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Macroscopic limit of a Fokker-Planck model of swarming rigid bodies
European Journal of Applied MathematicsWe consider self-propelled rigid bodies interacting through local body-attitude alignment modelled by stochastic differential equations. We derive a hydrodynamic model of this system at large spatio-temporal scales and particle numbers in any dimension
Pierre Degond, Amic Frouvelle
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Large-Scale Dynamics of Self-propelled Particles Moving Through Obstacles: Model Derivation and Pattern Formation. [PDF]
Bull Math Biol, 2020 Aceves-Sanchez P +5 more
europepmc +1 more source
THE DISCRETE COAGULATION EQUATIONS WITH MULTIPLE FRAGMENTATION
Proceedings of the Edinburgh Mathematical Society, 2002 P. Laurençot
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