The horofunction compactification of Teichm\"uller metric

We show that the horofunction compactification of Teichm\"uller space with the Teichm\"uller metric is homeomorphic to the Gardiner-Masur compactification.Comment: Final version, the proof of Proposition 5.1 is improved. To appear in Handbook of Teichm\"uller Theory, Vol. 4, A. Papadopoulos (ed.), EMS publishing house, Z\"urich 201

Public-Private Wage Gap in Australia: Variation Along the Distribution

Previous research on public-private wage differentials in Australia is scarce and has focused on the central parts of the conditional wage distribution. Using the first six waves of the Household, Income and Labour Dynamics in Australia (HILDA) survey, this study applies quantile regression models to examine whether the sectoral wage effect varies along the wage distribution. For females, we find public sector wage premiums for almost the entire wage distribution and the premiums are relatively stable except at the extremities of the distribution. For males, the premiums decrease monotonically and are negative for the top half of the conditional wage distribution. The decomposition results show that the observed differences in individuals and job characteristics account for a substantial proportion of the overall sectoral wage gap.wage gap, quantile regression, decomposition

The behaviour of Fenchel-Nielsen distance under a change of pants decomposition

Given a topological orientable surface of finite or infinite type equipped with a pair of pants decomposition $\mathcal{P}$ and given a base complex structure $X$ on $S$, there is an associated deformation space of complex structures on $S$, which we call the Fenchel-Nielsen Teichm\"uller space associated to the pair $(\mathcal{P},X)$. This space carries a metric, which we call the Fenchel-Nielsen metric, defined using Fenchel-Nielsen coordinates. We studied this metric in the papers \cite{ALPSS}, \cite{various} and \cite{local}, and we compared it to the classical Teichm\"uller metric (defined using quasi-conformal mappings) and to another metric, namely, the length spectrum, defined using ratios of hyperbolic lengths of simple closed curves metric. In the present paper, we show that under a change of pair of pants decomposition, the identity map between the corresponding Fenchel-Nielsen metrics is not necessarily bi-Lipschitz. The results complement results obtained in the previous papers and they show that these previous results are optimal

Radiation and Potential Barriers of a 5D Black String Solution

By using a massless scalar field we examine the effect of an extra dimension on black hole radiation. Because the equations are coupled, we find that the structure of the fifth dimension (as for membrane and induced-matter theory) affects the nature of the radiation observed in four-dimensional spacetime. In the case of the Schwarzschild-de Sitter solution embedded in a Randall-Sundrum brane model, the extension of the black hole along the fifth dimension looks like a black string. Then it is shown that, on the brane, the potential barrier surrounding the black hole has a quantized as well as a continuous spectrum. In principle, Hawking radiation may thus provide a probe for higher dimensions.Comment: 9 pages, 3 figures, accepted for publication on MPL