32 citations · 82 across the 17 of their papers we have counts for
4 papers · 2 filters
Inevitable monokineticity of strongly singular alignment
Michał Fabisiak, Jan Peszek
We prove that certain types of measure-valued mappings are monokinetic i.e. the distribution of velocity is concentrated in a Dirac mass. These include weak measure-valued solution…
A fuzzy -closest alignment model
Piotr B. Mucha, Jan Peszek
The paper examines the problems related to the well-posedness of the Cucker-Smale model with communication restricted to the -closest neighbors, known also as the Cucker-Dong mo…
Measure solutions to a kinetic Cucker-Smale model with singular and matrix-valued communication
Jan Peszek, David Poyato
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-Smale…
Heterogeneous gradient flows in the topology of fibered optimal transport
Jan Peszek, David Poyato
We introduce an optimal transport topology on the space of probability measures over a fiber bundle, which penalizes the transport cost from one fiber to another. For simplicity, w…