Discs of stars around super-massive black holes, like the one at
the Galactic centre, evolve primarily via resonant relaxation,
which is the process governing the evolution of the
angular-momentum vectors of stellar orbits about the
super-massive...
I'll focus specifically on point counting results in o-minimal
structures. I'll start with the classical theorem of Pila and
Wilkie and move on to improved versions that only hold in the
"sharp" variant of o-minimality.
Let Γ be a countable group with a Cayley graph G. Suppose we are
running an independent identical probabilistic algorithm on each
vertex (or each edge) and vertices are only allowed to communicate
with their neighbors. The goal of this distributed...
Let Ω be an open set in a Euclidean space X of dimension (n+1)
and ϕ be a uniformly convex smooth norm on X. Consider an
n-dimensional unit-density varifold V in Ω, whose generalised mean
curvature vector, computed with respect to ϕ, is bounded...
Lagrangian correspondences between symplectic manifolds are
generalizations of symplectomorphisms and are expected to give the
morphisms in the 2-category of symplectic manifolds under geometric
compositions. For the (wrapped) Fukaya categories of...
