4 papers
math.CA2026
Hölder functions with nonporous graphs
Claudio A. DiMarco
For any there is a Hölder continuous function with nonporous graph which is thin for doubling measur…
math.CA2023
Zygmund graphs are thin for doubling measures
Claudio A. DiMarco
The Zygmund functions form an intermediate class between Lipschitz and Hölder functions; their second order divided differences are uniformly bounded. It is well known that for $d…
math.DS2015
Reservoir Computing Dynamics for Single Nonlinear Node with Delay Line Structure
Claudio A. DiMarco
For a reservoir computer composed of a single nonlinear node and delay line, we show that after a finite period of discrete time, the distance between two reservoir outputs is boun…
math.MG2015
Fractal Curves and Rugs of Prescribed Conformal Dimension
Claudio A. DiMarco
We construct Jordan arcs of prescribed conformal dimension which are minimal for conformal dimension. These curves are used to design fractal rugs, similar to Rickman's rug, that a…