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...
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...
