[HTML][HTML] Inevitable monokineticity of strongly singular alignment
M Fabisiak, J Peszek - Mathematische Annalen, 2023 - Springer
We prove that certain types of measure-valued mappings are monokinetic ie the distribution
of velocity is concentrated in a Dirac mass. These include weak measure-valued solutions to …
of velocity is concentrated in a Dirac mass. These include weak measure-valued solutions to …
Measure solutions to a kinetic Cucker-Smale model with singular and matrix-valued communication
We introduce a multi-dimensional variant of the kinetic Cucker-Smale model with singular
and matrix-valued communication weight, which reduces to the singular kinetic Cucker …
and matrix-valued communication weight, which reduces to the singular kinetic Cucker …
Mean-field limit of non-exchangeable multi-agent systems over hypergraphs with unbounded rank
N Ayi, NP Duteil, D Poyato - arXiv preprint arXiv:2406.04691, 2024 - arxiv.org
Interacting particle systems are known for their ability to generate large-scale self-organized
structures from simple local interaction rules between each agent and its neighbors. In …
structures from simple local interaction rules between each agent and its neighbors. In …
Emergent behaviours of a non-abelian quantum synchronisation model over the unitary group
We 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 …
represented as a gradient flow, where state matrices asymptotically converge to a common …
The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient flow
ST Galtung - arXiv preprint arXiv:2403.19020, 2024 - arxiv.org
We show how the sticky dynamics for the one-dimensional pressureless Euler-alignment
system can be obtained as an $ L^ 2$-gradient flow of a convex functional. This is …
system can be obtained as an $ L^ 2$-gradient flow of a convex functional. This is …
A fuzzy -closest alignment model
The paper examines the problems related to the well-posedness of the Cucker-Smale model
with communication restricted to the $ q $-closest neighbors, known also as the Cucker …
with communication restricted to the $ q $-closest neighbors, known also as the Cucker …
[PDF][PDF] On semi-global optimal control problems and their applications in machine learning
M Oster - 2023 - depositonce.tu-berlin.de
Semi-global optimal control problems enable us to use open-loop-like methods to
understand optimal feedback synthesis for an averaged optimal control problem. In this …
understand optimal feedback synthesis for an averaged optimal control problem. In this …