Klaus Volpert

Villanova University | Nova · Department of Mathematics and Statistics

Income distribution is described by a two-parameter model for the Lorenz curve. This model interpolates between self-similar behavior at the low and high ends of the income spectrum, and naturally leads to two separate indices describing both ends individually. These new indices accurately capture realistic data on income distribution, and give a b...

A ‘deformation’ of an algebra G with multiplication μ' is a non-isomorphic multiplication μ' on the same underlying vector space that is ‘infinitesimally close’ to μ. ‘Deformation theory’ is the attempt to classify such deformations. In the category of graded algebras one is primarily interested in deformations that produce filtered algebras.In thi...

Deformations of differential complexes occur as a part of deformation theories of alge-braic structures, but are interesting in their own right. In fact, this theory enjoys many properties that are 'desirable' but rare in other theories. We show (a) that the moduli space of deformations of a differential can be classified by a purely combinatorial...