Publications for year 2019

Saturday, 26 January, 2019
Stefano Marmi, Corinna Ulcigrai, Jean-Christophe Yoccoz

We introduce two Diophantine conditions on rotation numbers of interval exchange maps (i.e.m) and translation surfaces: the \emph{absolute Roth type condition} is a weakening of the notion of...

arXiv:1901.09191
Thursday, 24 January, 2019
Hugo Duminil-Copin, Vincent Tassion

The study of crossing probabilities - i.e. probabilities of existence of paths crossing rectangles - has been at the heart of the theory of two-dimensional percolation since its beginning. They...

arXiv:1901.08294
Wednesday, 23 January, 2019
Seung-Joo Lee, Wolfgang Lerche, Timo Weigand

We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory compactifications with N=1 supersymmetry. Extending our previous work on nearly tensionless heterotic strings in six...

arXiv:1901.08065