Excursion to Brighton

20th Anniversary Congress of the World Muscle Society, Brighton 2015: Brighton Belle with Biceps Brachii.

painting entitled “A New Rhythm” by contemporary British artist, Richard White. This intricate and dynamic mix of colour and pattern will no doubt fire their inspiration for new ideas as they gaze upon it in contemplation. Now, however, was not the time for quiet contemplation. Muscle party animals bounded onto the dance floor as the band Big Mama Funk turned up the volume and blasted out their...

Brownian penalisations related to excursion lengths, VII

Limiting laws, as t →∞, for Brownian motion penalised by the longest length of excursions up to t , or up to the last zero before t , or again, up to the first zero after t , are shown to exist, and are characterized. Résumé. Il est prouvé que les lois limites, lorsque t → ∞, du mouvement brownien pénalisé par la plus grande longueur des excursions jusqu’en t , ou bien jusqu’au dernier zéro ava...

Urban Sound Planning in Brighton and Hove

An Excursion to the Kolmogorov Random Strings

We study the set of resource bounded Kolmogorov random strings: R t = fx j K t (x) jxjg for t a time constructible function such that t(n) 2 n 2 and t(n) 2 2 n O(1). We show that the class of sets that Tur-ing reduce to R t has measure 0 in EXP with respect to the resource-bounded measure introduced by 17]. From this we conclude that R t is not Turing-complete for EXP. This contrasts the resour...

Excursion Theory Revisited

Excursions from a fixed point b are studied in the framework of a general Borel right process X, with a fixed excessive measure m serving as background measure; such a measure always exists if b is accessible from every point of the state space of X. In this context the left-continuous moderate Markov dual process b X arises naturally and plays an important role. This allows the basic quantitie...