It is well-known that for expansive maps and continuous potential functions, the specification property (for the map) and the Bowen property (for the potential) together imply the existence of a unique equilibrium state. We consider symbolic spaces that may not have specification, and potentials that may not have the Bowen property, and give conditions under which uniqueness of the equilibrium ...

In their recent articles, Mortimer et al. (2007) and Bowen et al. (2007) imply that historical declines in hawksbill sea turtle (Eretmochelys imbricata) populations in the Caribbean together with new phylogenetic data provide solid evidence that hawksbills cannot be harvested on a sustainable level. We suggest that broad inferences on the impacts of harvesting based on phylogenetic data alone a...

Scintillometry, a form of ground-based remote sensing, provides the capability to estimate surface heat fluxes over scales of a few hundred metres to kilometres. Measurements are spatial averages, making this technique particularly valuable over areas with moderate heterogeneity such as mixed agricultural or urban environments. In this study, we present the structure parameters of temperature a...

We study the geodesic flow of a class of 3-manifolds introduced by Benoist which have some hyperbolicity but are non-Riemannian, not CAT(0), and with non-C geodesic flow. The geometries are nonstrictly convex Hilbert geometries in dimension three which admit compact quotient manifolds by discrete groups of projective transformations. We prove the Patterson-Sullivan density is canonical, with ap...

We present preliminary results of a simultaneous X-ray/optical campaign of the prototypical LMXB Sco X-1 at 1-10 Hz time resolution. Lightcurves of the high excitation Bowen/HeII emission lines were obtained through narrow interference filters with ULTRACAM, and these were cross-correlated with X-ray lightcurves. We find evidence for correlated variability, in particular when Sco X-1 enters the...

Let G be a countable discrete amenable group which acts continuously on a compact metric space X and let μ be an ergodic G−invariant Borel probability measure on X. For a fixed tempered Følner sequence {Fn} inG with lim n→+∞ |Fn| logn =∞, we prove the following variational principle: h(Gμ, {Fn}) = hμ(X,G), where Gμ is the set of generic points for μ with respect to {Fn} and h(Gμ, {Fn}) is the B...

The Differentiation of Self Inventory—Revised (DSI-R; Skowron & Schmitt, 2003, “Assessing interpersonal fusion: Reliability and validity of a new DSI fusion with others subscale,” Journal of Marital and Family Therapy, 29, 209–222) assesses a central construct of Murray Bowen’s Family Systems Theory. Differentiation of self (DoS) consists of both intraand interpersonal dimensions, or the capaci...

We show that, for countable sofic groups, a Bernoulli action with infinite entropy base has infinite entropy with respect to every sofic approximation sequence. This builds on the work of Lewis Bowen in the case of finite entropy base and completes the computation of measure entropy for Bernoulli actions over countable sofic groups. One consequence is that such a Bernoulli action fails to have ...