H. Abbaspour,1,* S. Trebaol,2 F. Morier-Genoud,1 M. T. Portella-Oberli,1 and B. Deveaud1 1Laboratory of Quantum Optoelectronics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland 2Unités Mixtes de Recherche, FOTON, Centre National de la Recherche Scientifique, Université de Rennes 1, Enssat, F22305 Lannion, France (Received 19 October 2014; revised manuscript received 12 M...

I. MORIER , P. SCHLEPPI , R. SIEGWOLF , H. KNICKER & C. GUENAT Swiss Federal Institute of Technology (EPFL), ISTE Institute, ECOS-WSL, Station 2, GR, CH-1015, Lausanne, Switzerland, Swiss Federal Institute for Forest, Snow and Landscape Research (WSL), Forest Ecosystem Process Unit, CH-8903, Birmensdorf, Switzerland, Paul Scherrer Institut (PSI), Laboratory of Atmospheric Chemistry, CH-5332, Vi...

Let ?=(a,b,…) be a composition. Consider the associated poset F(?), called fence, whose covering relations arex1?x2?…?xa+1?xa+2?…?xa+b+1?xa+b+2?…. We study distributive lattice L(?) consisting of all lower order ideals F(?). These lattices are important in theory cluster algebras and their rank generating functions can used to define q-analogues rational numbers. In particular, we make progress...

james morier’s the adventures of hajji baba of ispahan is among works in which traces of the new wave of colonialism at the beginning of the 19th century are clearly evident, a colonialism which, fortified by the newly-established discourse of orientalism, employed literary texts as building blocks to expand and buttress authority and dominance of the west over the east. this paper attempts to ...

The classical q-analogue of the integers was recently generalized by Morier-Genoud and Ovsienko to give q-analogues rational numbers. Some combinatorial interpretations are already known, namely as rank generating functions for certain partially ordered sets. We a new interpretation, showing that numerators q-rationals count sizes varieties over finite fields, which unions open Schubert cells i...

Motivated by the definition of super-Teichm\"uller spaces, and Penner-Zeitlin's recent extension this to decorated space, as examples super Riemann surfaces, we use Ptolemy relations obtain formulas for $\lambda$-lengths associated arcs in a bordered surface. In special case disk, are able give combinatorial expansion diagonals polygon spirit Ralf Schiffler's $T$-path type $A$ cluster algebras....