Daniele C. Struppa

Learn More
This paper presents the foundational ideas for a new way of modeling social aggregation. Traditional approaches have been using network theory, and the theory of random networks. Under that paradigm, every social agent is represented by a node, and every social interaction is represented by a segment connecting two nodes. Early work in family interactions,(More)
In this paper we use the notion of slice monogenic functions [2] to define a new functional calculus for an n-tuple T of not necessarily commuting operators. This calculus is different from the one discussed in [5] and it allows the explicit construction of the eigenvalue equation for the n-tuple T based on a new notion of spectrum for T. Our functional(More)
We employ a classical idea of Ehrenpreis, together with a new algebraic result, to give a new proof that regular functions of several quaternionic variables cannot have compact singularities. As a byproduct we characterize those inhomogeneous Cauchy{ Fueter systems which admit solutions on convex sets. Our method readily extends to the case of monogenic(More)
We prove that regular functions of one quaternionic variable which satisfy a large class of diierential equations cannot have compact singularities. This result is equivalent to the fact that a large family of 8 4 matrices has torsion-free cokernel. The result (obvious in the complex case) easily extends to Cliiord algebras. 1. Introduction The classical(More)
The problem of reconstructing and identifying intracellular protein signaling and biochemical networks is of critical importance in biology. We propose a mathematical approach called augmented sparse reconstruction for the identification of links among nodes of ordinary differential equation (ODE) networks, given a small set of observed trajectories with(More)