Let $$f:\widehat{{\mathbb {C}}}\rightarrow \widehat{{\mathbb {C}}}$$ be a hyperbolic rational map of degree $$d \ge 2$$ , and let $$J \subset {\mathbb {C}}$$ its Julia set. We prove that J always has positive Fourier dimension. The case where is included in circle follows from recent work Sahlsten Stevens (Fourier transform expanding maps on Cantor sets preprint. arXiv:2009.01703 2020). In the ...

Kojima and Manea (2010) present two characterizations of when an allocation rule corresponds to the agent-proposing deferred acceptance algorithm for some substitutable priority rule of the objects being assigned. Building on their results we characterize when an allocation rule is outcome equivalent to the deferred acceptance algorithm for every substitutable priority rule. In particular, an a...

This paper explores issues of eValue creation within communities joined through the Web, and the implications on end user acceptance of pervasive information and communication technology (ICT). We draw on developments in several streams of research on network economics in order to understand the changed logic of value creation on the Web, and its implications on the moderators of user acceptanc...

A smooth surface interpolation scheme for positive and convex data has been developed. This scheme has been extended from the rational quadratic spline function of Sarfraz [11] to a rational bi-quadratic spline function. Simple data dependent constraints are derived on the free parameters in the description of rational bi-quadratic spline function to preserve the shape of 3D positive and convex...