Expected Phylogenetic Diversity and the Edge-Length Abundance Distribution We define sampled phylogenetic diversity to be the total branch length in a sampled tree, and we describe a sampled tree by… (More)

We produce the simple formula for the radius, R, of a cold body: ( 4 3 πρo) 1/3 R = M p y 1 + y I where y = M/Mp, M is the total mass, J = √ 1 − y/y ch and I = J/ [

The Polchinski version of the exact renormalisation group equations is applied to multicritical fixed points, which are present for dimensions between two and four, for scalar theories using both the… (More)

27" A tantalizing hypothesis posits that mammals coevolved with their gut microbiota. Unfortunately, 28" the limited resolution of microbial taxonomy hinders the exploration of this hypothesis and… (More)

Competition and mutualism are inevitable processes in microbial ecology, and a central question is which and how many taxa will persist in the face of these interactions. Ecological theory has… (More)

Competition in ecology is often modeled in terms of direct, negative effects of one individual on another. An example is logistic growth, modeling the effects of intraspecific competition, while the… (More)

Despite its radical assumption of ecological equivalence between species, neutral biodiversity theory can often provide good fits to species abundance distributions observed in nature. Major… (More)

The derivative expansion of the Wilsonian renormalization group generates additional terms in the effective β-functions not present in the perturbative approach. Applied to the nonlinear σ model, to… (More)

Consider the estimation of the state of such processes from linear, noisy measurements; the Kalman filter is known to be the minimum mean square error estimator when the measurement noise is… (More)

The derivative expansion of the Wilsonian renormalization group generates additional terms in the effective β-functions not present in the perturbative approach. Applied to the nonlinear σ model, to… (More)