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...
Around 1992, Aldous made the following bold conjecture. Let A be
any set of transpositions in the symmetric group Sym(N). Then the
spectral gap of the Cayley graph Cay(Sym(N),A) is identical to that
of a relatively tiny N-vertex graph defined by A...
Surveys of the mm-wave sky are great resources for astrophysics
and cosmology. Sources that have been studied include solar system
objects, flaring stars, accreting black holes, dusty star forming
galaxies, and galaxy clusters, while cosmological...
