Further info
Exotic dynamics and search
A curated set of accessible background pages, reviews and lecture notes related to this research programme.
Wikipedia primers
Background on mechanics, phase-space dynamics, kinetic descriptions and computational search.
Hamiltonian mechanicsThe phase-space formulation of classical mechanics that the boost-agnostic construction generalises.Phase spaceThe space of positions and momenta on which Hamiltonian flows and Liouville-type statements are formulated.Kinetic theory of gasesThe bridge from particle dynamics and collisions to statistical mechanics and hydrodynamics.First-hitting-time modelA simple entry point to first-passage observables used when measuring search and maze-exploration performance.Particle swarm optimizationA population-based optimisation method whose position-velocity update is the target of the dispersion-engineering programme.
Research background and neighbouring approaches
Foundations for mechanics without boost symmetry, together with the closest search and optimisation ideas that the current programme must distinguish itself from.
Non-Boost Invariant Fluid DynamicsA systematic hydrodynamic classification when no boost symmetry is assumed.Perfect FluidsDevelops perfect-fluid thermodynamics without assuming relativistic or Galilean boost symmetry.Lifshitz HydrodynamicsAn early treatment of hydrodynamics with anisotropic Lifshitz scaling.Active Brownian and run-and-tumble particles separate inside a mazeA neighbouring first-passage result showing that particle dynamics can strongly affect maze exploration, which narrows the novelty claim for the present work.Hamiltonian Descent MethodsShows that deliberately changing kinetic energy can be useful in optimisation, an important conceptual comparator for dispersion engineering.Particle swarm optimization - original conference paperThe original Kennedy-Eberhart particle-swarm algorithm and the baseline from which the optimisation branch departs.