48 citations · 360 across the 42 of their papers we have counts for
16 papers · 1 filter
Information geometry of diffeomorphism groups
Boris Khesin, Gerard Misiołek, Klas Modin
The study of diffeomorphism groups and their applications to problems in analysis and geometry has a long history. In geometric hydrodynamics, pioneered by V.~Arnold in the 1960s,…
Simple unbalanced optimal transport
Boris Khesin, Klas Modin, Luke Volk
We introduce and study a simple model capturing the main features of unbalanced optimal transport. It is based on equipping the conical extension of the group of all diffeomorphism…
Geometry of generalized fluid flows
Anton Izosimov, Boris Khesin
The Euler equation of an ideal (i.e. inviscid incompressible) fluid can be regarded, following V.Arnold, as the geodesic flow of the right-invariant -metric on the group of vo…
Geometric Hydrodynamics in Open Problems
Boris Khesin, Gerard Misiolek, Alexander Shnirelman
Geometric Hydrodynamics has flourished ever since the celebrated 1966 paper of V. Arnold. In this paper we present a collection of open problems along with several new construction…
The helicity uniqueness conjecture in 3D hydrodynamics
Boris Khesin, Daniel Peralta-Salas, Cheng Yang
We prove that the helicity is the only regular Casimir function for the coadjoint action of the volume-preserving diffeomorphism group on smooth exact divergence-…
Math in the Black Forest: Workshop on New Directions in Shape Analysis
Martin Bauer, Nicolas Charon, Philipp Harms +9
These are the proceedings of the workshop "Math in the Black Forest", which brought together researchers in shape analysis to discuss promising new directions. Shape analysis is an…