Stars at infinity in Teichmüller space

Geometriae Dedicata - We investigate a metric structure on the Thurston boundary of  Teichmüller space. To do this, we develop tools in sup metrics and apply Minsky’s...     

Theorie der Orientierung der Teilchen durch ein elektrisches Feld in leitfähigen Medien

Ohne Zusammenfassung     

Orientierung der schwach geladenen st?bchenf?rmigen Teilchen im elektrischen Feld

Ohne Zusammenfassung     

Polarisation der Doppelschicht und der elektooptische Effekt in Suspensionen st?bchenf?rmiger Teilchen

Ohne Zusammenfassung     

Application of ultrasound to organic reactions: ultrasonic catalysis on hydrolysis of carboxylic acid esters

Irradiation with ultrasound was found to facilitate the two-phase basic hydrolysis of aromatic carboxylic acid esters.     

Divergence of Geodesics in Teichmüller Space and the Mapping Class Group

We show that both Teichmüller space (with the Teichmüller metric) and the mapping class group (with a word metric) have geodesic divergence that is intermediate between the linear rate of flat spaces and the exponential rate of hyperbolic spaces. For every two geodesic rays in Teichmüller space, we find that their divergence is at most quadratic. Furthermore, this estimate is shown to be sharp via examples of pairs of rays with exactly quadratic divergence. The same statements are true for geodesic rays in the mapping class group. We explicitly describe efficient paths “near infinity” in both spaces.