# Publications

## Pages

Sunday, 1 March, 2015
John E. Gough, Tudor S. Ratiu, Oleg G. Smolyanov

Noether’s theorem on constants of the motion of dynamical systems has recently been extended to classical dissipative systems (Markovian semi-groups) by Baez and Fong [J. Math. Phys. 54, 013301...

J. Math. Phys. 56, 022108 (2015)
Thursday, 26 February, 2015
Julien Guillod, Peter Wittwer

New explicit solutions to the incompressible Navier--Stokes equations in $\mathbb{R}^{2}\setminus\left\{{0}\right\}$ are determined, which generalize the scale-invariant solutions found by...

SIAM J. Math. Anal., 47(1), 955–968.
Friday, 20 February, 2015
Erwan Brugallé, Ilia Itenberg, Grigory Mikhalkin, Kristin Shaw

The paper consists of lecture notes for a mini-course given by the authors at the Gokova Geometry & Topology conference in May 2014. We start the exposition with tropical curves in the plane...

arXiv:1502.05950
Wednesday, 18 February, 2015
A. Buryak, F. Janda, R. Pandharipande

The relations in the tautological ring of the moduli space M_g of nonsingular curves conjectured by Faber-Zagier in 2000 and extended to the moduli space of stable pointed curves by Pixton in...

arXiv:1502.05150
Tuesday, 17 February, 2015
Tudor S. Ratiu, Miguel Rodriguez-Olmos, Miguel Teixidó-Román

The fast-superfast transition is a particular movement of eigenvalues found by Lewis et al. when studying the family of sleeping equilibria in the Lagrange top. Although this behaviour of...

arXiv:1502.04895
Saturday, 14 February, 2015
Niels Benedikter, Marcello Porta, Chiara Saffirio, Benjamin Schlein

We consider the evolution of quasi-free states describing N fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large N, we study the convergence...

Wednesday, 11 February, 2015
Marcos Marino, Szabolcs Zakany

We propose a new family of matrix models whose 1/N expansion captures the all-genus topological string on toric Calabi-Yau threefolds. These matrix models are constructed from the trace class...

Tuesday, 10 February, 2015
Hugo Duminil-Copin, Vincent Tassion

We provide a new proof of the sharpness of the phase transition for nearest-neighbour Bernoulli percolation. More precisely, we show that <br />- for $p&lt;p_c$, the probability that...

arXiv:1502.03051
Tuesday, 10 February, 2015
Hugo Duminil-Copin, Vincent Tassion

We provide a new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. The proof applies to infinite range models on arbitrary locally finite transitive...

arXiv:1502.03050
Monday, 9 February, 2015
Niels Benedikter, Marcello Porta, Benjamin Schlein

In these notes we review the material presented at the summer school on "Mathematical Physics, Analysis and Stochastics" held at the University of Heidelberg in July 2014. We consider the time-...

Sunday, 1 February, 2015
Simon Hochgerner, Tudor S. Ratiu

We study stochastically perturbed non-holonomic systems from a geometric point of view. In this setting, it turns out that the probabilistic properties of the perturbed system are intimately...

Journal of the European Mathematical Society, Vol 17, Issue 2, 2015, pp. 273–319
Friday, 30 January, 2015
Riccardo Barbieri, Davide Greco, Riccardo Rattazzi, Andrea Wulzer

Based on an explicit model, we propose and discuss the generic features of a possible implementation of the Twin Higgs program in the context of composite Higgs models. We find that the Twin...