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020 _a9783031734236
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024 7 _a10.1007/978-3-031-73423-6
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245 1 0 _aActive Particles, Volume 4
_h[electronic resource] :
_bTheory, Models, Applications /
_cedited by José Antonio Carrillo, Eitan Tadmor.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aIX, 505 p. 89 illus., 76 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
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347 _atext file
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490 1 _aModeling and Simulation in Science, Engineering and Technology,
_x2164-3725
505 0 _a1 Consistency of Semi-supervised Learning, Stochastic Tug-of-War Games, and the p-Laplacian -- 2 Discrete Minimizers of the Interaction Energy in Collective Behavior -- 3 Large-Population Limits of Non-Exchangeable Particle Systems -- 4 Models of Animal Behavior as Active Particle Systems with Nonreciprocal Interactions -- 5 Bayesian Sampling Using Interacting Particles -- 6 Aggregation-Diffusion Phenomena -- 7 Conservative Semi-Lagrangian Methods for Kinetic Equations -- 8 Large Population Limit of Interacting Population Dynamics via Generalized Gradient Structures -- 9 Adjoint Monte Carlo Method.
520 _aThis edited volume collects nine surveys that present the state-of-the-art in modeling, qualitative analysis, and simulation of active particles, focusing on specific applications in the natural sciences. As in the preceding Active Particles volumes, it blends diverse applications that demonstrate the interdisciplinary nature of the subject and the various mathematical tools available. Contributions were selected with the aim of covering a variety of viewpoints, from modeling the interactions in collective dynamics of animals and in population dynamics; through neural-networks, semi-supervised learning, and Monte Carlo methods in optimization; to kinetic and continuum theories with applications to aggregations and birth-and-death processes. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.
650 0 _aMathematical models.
_966910
650 0 _aSystem theory.
_966519
650 0 _aStatistical Physics.
_970323
650 0 _aStatistical Mechanics.
_969101
650 1 4 _aMathematical Modeling and Industrial Mathematics.
_966912
650 2 4 _aComplex Systems.
_966520
650 2 4 _aStatistical Physics.
_970323
650 2 4 _aStatistical Mechanics.
_969101
700 1 _aCarrillo, José Antonio.
_eeditor.
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700 1 _aTadmor, Eitan.
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830 0 _aModeling and Simulation in Science, Engineering and Technology,
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