HEISENBERG OPERATORS, INVARIANT DOMAINS AND HEISENBERG EQUATIONS OF MOTION

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

Operators, Heisenberg dynamics and politics

In a series of recent papers, [1]-[4], a possible way to describe interactions between political parties has been proposed in more and more refined versions and analyzed. Each version describes a decision making procedure, deducing the time evolution of three so-called decision functions (DFs), one for each party considered in our political system. These functions describe the interest of each ...

On Fully Nonlinear Cr Invariant Equations on the Heisenberg Group

In this paper we provide a characterization of second order fully nonlinear CR invariant equations on the Heisenberg group, which is the analogue in the CR setting of the result proved in the Euclidean setting by A. Li and the first author in [21]. We also prove a comparison principle for solutions of second order fully nonlinear CR invariant equations defined on bounded domains of the Heisenbe...

Heisenberg-invariant Kummer Surfaces Ii

is the closure of the locus parametrizing H22-invariant quartics with 16 skew lines. The smooth surfaces of this type are parametrized by a non-empty open set N s of N . These surfaces are Kummer surfaces associated to abelian surfaces with a (1,3)–polarization. The action of the Heisenberg group on the Kummer surface corresponds to a level-2 structure on the abelian surface. If A is an abelian...

Heisenberg Community Detection and Protein Domains

Finding the community structure present within networks is of interest in many data mining tasks. However, it is not just of interest which community a node belongs to, but its ‘extent of belonging’. Such knowledge can give us valuable information about the functional role of that node. Here I present a method to find the extent to which each node belongs to each community. The method is based ...