Bounds on the hausdorff dimension of a renormalisation map arising from an excitable reaction-diffusion system on a fractal lattice

A renormalisation approach to investigate travelling wave solutions of an excitable reaction- diusion system on a deterministic fractal structure has recently been derived. The dynamics of a particular class of solutions which are governed by a two dimensional subspace of these renormalisation recursion relationships are discussed in this paper. The bifurcations of this mapping are discussed with reference to the discontinuities which arise at the singularities. The map is chaotic for a bounded region in parameter space and bounds on the Hausdor dimension of the associated invariant hyperbolic set are calculated

‘And I know damned-well what he wanted!’ Deliberate Alteration and Interpretations of Intent in Several Late Sculptures by David Smith

Some years after the death of David Smith (1906–1965), Clement Greenberg, then executor of his estate, made a decision to have the white painted surface stripped from five sculptures and present them as authentic works by the artist. In removing what he considered to be a temporary primer coating that had already begun to deteriorate, Greenberg believed that he was restoring unfinished works to a state that would more accurately reflect Smith’s artistic intention, something over which he felt he could claim to have authority. Although supported in his actions by several prominent critics at the time, Greenberg was tarnished by the scandal and resigned from the estate in 1979. Raising questions about authenticity, the value of the original, the availability of the artist’s intent and who speaks for the artist after his death, a discussion on the reasons behind the original alteration and subsequent restoration of these works by the present David Smith Estate is provided. The idea that a single authentic state for Smith’s stripped sculptures can be identified is questioned, and possibility of authenticity being linked to multiple biographies of the work is suggested

All Hail The Power Of Jesus\u27 Name | 12-50830

All Hail The Power Of Jesus\u27 Name, for SATB Voices with Organ and Optional Brass Quartet Part Number: 12-50830 Previous Part Number: CH025 Price: $1.75 Voicing: SATB Lyrics By: Edward Perronet (1779) Stanza 4, John Rippon (1787) Music By: Oliver Holden (1793) Arranged By: James Q. Mulholland with opt. Brass Partshttps://digitalcommons.butler.edu/jca_scores/1085/thumbnail.jp