Let
be a semifinite von Nemann algebra equipped with an increasing filtration
of (semifinite) von Neumann subalgebras of
. For
, let
denote the noncommutative column conditioned martingale Hardy space and
denote the …
Wick polynomials and Wick products are studied in the context of noncommutative probability theory. It is shown that free, Boolean, and conditionally free Wick polynomials can be defined and related through the action of the group of characters over …
Wilson loop diagrams are an important tool in studying scattering amplitudes of SYM
theory and are known by previous work to be associated to positroids. In this paper, we study the structure of the associated positroids, as well as the structu…
Using a certain well-posed ODE problem introduced by Shilnikov in the sixties, Minervini proved the currential “fundamental Morse equation” of Harvey–Lawson but without the restrictive tameness condition for Morse gradient flows. Here, we construct l…
To each automorphism of a spherical building, there is a naturally associated opposition diagram, which encodes the types of the simplices of the building that are mapped onto opposite simplices. If no chamber (that is, no maximal simplex) of the bui…
Let G be a connected reductive group over a p-adic number field F. We propose and study the notions of G–modules and G–modules over the Robba ring, which are exact faithful F-linear tensor functors from the category of G-representations on finite-dim…
What is the maximum number of copies of a fixed forest T in an n-vertex graph in a graph class as ? We answer this question for a variety of sparse graph classes . In particular, we show that the answer is where is the size of the largest stable set…
Let be a finite Galois extension of p-adic number fields, and let be an r-dimensional unramified representation of the absolute Galois group , which is the restriction of an unramified representation . In this paper, we consider the -equivariant loca…
For a smooth strongly convex Minkowski norm , we study isometries of the Hessian metric corresponding to the function . Under the additional assumption that F is invariant with respect to the standard action of , we prove a conjecture of Laugwitz state…
Involution Schubert polynomials represent cohomology classes of K-orbit closures in the complete flag variety, where K is the orthogonal or symplectic group. We show they also represent -equivariant cohomology classes of subvarieties defined by upper-l…