27 citations · 29 across the 3 of their papers we have counts for
3 papers
math.DS2005★ 27 cited
Hilbert spaces built on a similarity and on dynamical renormalization
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We develop a Hilbert space framework for a number of general multi-scale problems from dynamics. The aim is to identify a spectral theory for a class of systems based on iterations…
math.DS2005
Wavelet constructions in non-linear dynamics
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We construct certain Hilbert spaces associated with a class of non-linear dynamical systems X. These are systems which arise from a generalized self-similarity, and an iterated sub…
math.OA2004★ 2 cited
The von Neumann Algebra of the Canonical Equivalence Relation of the Generalized Thompson Group
Dorin Dutkay, Gabriel Picioroaga
We study the equivalence relation generated by the (non-free) action of the generalized Thompson group on the unit interval. We show that this relation is a standard, q…