Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation
Continuum of coupled Wasserstein gradient flows
We study a system of drift-diffusion PDEs for a potentially infinite number of incompressible
phases, subject to a joint pointwise volume constraint. Our analysis is based on the …
phases, subject to a joint pointwise volume constraint. Our analysis is based on the …
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 …
Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment
We compare the multi-dimensional generalisation of the Aw-Rascle model with the
pressureless Euler-alignment system, in which the communication weight is matrix-valued …
pressureless Euler-alignment system, in which the communication weight is matrix-valued …
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 …
The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient flow
ST Galtung - Applied Mathematics & Optimization, 2025 - Springer
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 analogous to …
system can be obtained as an L 2-gradient flow of a convex functional. This is analogous to …
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 …
Lyapunov stability and exponential phase-locking of Schr\" odinger-Lohe quantum oscillators
We study the well known Schr\" odinger-Lohe model for quantum synchronization with non-
identical natural frequencies. The main results are related to the characterization and …
identical natural frequencies. The main results are related to the characterization and …
Disintegrated optimal transport for metric fiber bundles
J Kitagawa, A Takatsu - arxiv preprint arxiv:2407.01879, 2024 - arxiv.org
We define a new two-parameter family of metrics on a subspace of Borel probability
measures on a metric fiber bundle, called the disintegrated Monge--Kantorovich metrics. We …
measures on a metric fiber bundle, called the disintegrated Monge--Kantorovich metrics. We …