Topologically Based Fractional Diffusion and Emergent Dynamics with Short-Range Interactions

Authors :: Eitan Tadmor
Roman Shvydkoy
Source :: SIAM Journal on Mathematical Analysis. 52:5792-5839
Publication Year :: 2020
Publisher :: Society for Industrial & Applied Mathematics (SIAM), 2020.
Abstract: We introduce a new class of models for emergent dynamics. It is based on a new communication protocol which incorporates two main features: short-range kernels which restrict the communication to l...

Subjects :: 010101 applied mathematics
Computational Mathematics
Collective behavior
Applied Mathematics
Mathematical analysis
Fractional diffusion
Statistical physics
0101 mathematics
Communications protocol
01 natural sciences
Flocking (texture)
Analysis
Mathematics

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