Mean‐field limit of non‐exchangeable systems
Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin+2 more
wiley +1 more source
Decompositions of Hyperbolic Kac-Moody Algebras with Respect to Imaginary Root Groups. [PDF]
Feingold AJ, Kleinschmidt A, Nicolai H.
europepmc +1 more source
Population Genetics Meets Ecology: A Guide to Individual‐Based Simulations in Continuous Landscapes
This paper aims to be a practical guide to spatial simulation, helping researchers to implement realistic and efficient spatial, individual‐based simulations and avoid common pitfalls. We explore how mating, reproduction, density‐dependent feedback, dispersal, spatial and temporal heterogeneity, and natural selection affect population dynamics and ...
Elizabeth T. Chevy+11 more
wiley +1 more source
Leopoldt kernels and central extensions of algebraic number fields [PDF]
Katsuya Miyake
openalex +1 more source
Lower density soft operators and density soft topologies. [PDF]
Ameen ZA, Alqahtani MH, Alghamdi OF.
europepmc +1 more source
ABSTRACT Background During the last decades, gamma spectrometry data have increasingly been used in soil science, for example, for mapping. However, the full data potential could not be exploited due to certain constraints, among which the insufficient representation of attenuating materials (in particular, water) in correction algorithms is the most ...
Ludger Herrmann, Georg Zimmermann
wiley +1 more source
On the Heat Kernel of the Bergmann Metric on Algebraic Varieties [PDF]
Peter Li, Gang Tian
openalex +1 more source
Establishing the effect of computed tomography reconstruction kernels on the measure of bone mineral density in opportunistic osteoporosis screening. [PDF]
Matheson BE, Boyd SK.
europepmc +1 more source
Nonstandard representation of the Dirichlet form and application to the comparison theorem
Abstract The Dirichlet form is a generalization of the Laplacian, heavily used in the study of many diffusion‐like processes. In this paper, we present a nonstandard representation theorem for the Dirichlet form, showing that the usual Dirichlet form can be well‐approximated by a hyperfinite sum.
Haosui Duanmu, Aaron Smith
wiley +1 more source
Polynomial Regression on Lie Groups and Application to SE(3). [PDF]
Aubray J, Nicol F.
europepmc +1 more source