Athreya, Bufetov, Eskin and Mirzakhani have shown the number of mapping class group lattice points intersecting a closed ball radius $R$ in Teichm\"{u}ller space is asymptotic to $e^{hR}$, where $h$ dimension space. We show for any pseudo-Anosov $f$, there exists power $n$, such that $f^n$ conjugacy coarsely $e^{\frac{h}{2}R}$.

This paper concerns steady, high-Reynolds-number flow around a semi-infinite, rotating cylinder placed in an axial stream and uses boundary-layer type of equations which apply even when the boundary-layer thickness is comparable to the cylinder radius, as indeed it is at large enough downstream distances. At large rotation rates, it is found that a wall jet appears over a certain range of downs...

The relationship between the Coulomb displacement energy for the A=8, J=2 + , T=1 state and the low-energy astrophysical S 17 factor for the 7 Be(p,γ) 8 B reaction is discussed. The displacement energy is interpreted in a particle-hole model. The dependence of the particle displacement energy on the potential well geometry is investigated and is used to relate the particle displacement energy t...

We consider the steady laminar annular spread of a thin liquid film generated by a circular jet impinging perpendicularly in direction of gravity on the centre of a horizontally rotating disc (figure 1). The individual flow regimes arising due to the largeness of the Reynolds number formed with the radius of the jet, its slenderness, and the relative magnitude of the centrifugal force measured ...

This work presents an analytical study of the structure of steady Marangoni-driven singularities in the context of chemical-reaction driven tip-streaming, which identifies the conditions when such singularities are observable. As motivated by experimental observations of the conical symmetry of the problem, one can construct self-similar solutions of the Stokes equations, which are singular at ...

The cover time and mixing time of graphs has much relevance to algorithmic applications and has been extensively investigated. Recently, with the advent of ad-hoc and sensor networks, an interesting class of random graphs, namely random geometric graphs, has gained new relevance and its properties have been the subject of much study. A random geometric graph G(n, r) is obtained by placing n poi...

In this paper, we study the asymptotic behaviour of the angular bispectrum of spherical random fields. Here, the asymptotic theory is developed in the framework of fixed-radius fields, which are observed with increasing resolution as the sample size grows. The results we present are then exploited in a set of procedures aimed at testing non-Gaussianity; for these statistics, we are able to show...

Suppose we are given finitely generated groups Γ1, . . . ,Γm equipped with irreducible random walks. Thereby we assume that the expansions of the corresponding Green functions at their radii of convergence contain only logarithmic or algebraic terms as singular terms up to sufficiently large order (except for some degenerate cases). We consider transient random walks on the free product Γ1 ∗ . ...

In this paper, we present a method for the numerical minimization of the Mumford–Shah functional that is based on the idea of topological asymptotic expansions. The basic idea is to cover the expected edge set with balls of radius ε > 0 and use the number of balls, multiplied with 2ε, as an estimate for the length of the edge set. We introduce a functional based on this idea and prove that it c...

Article history: Received 4 September 2009 Accepted 11 September 2009 Available online xxxx Submitted by R.A. Brualdi AMS classification: 05C50 05E99