Publications for year 2017


Sunday, 16 April, 2017
Chiara Boccato, Christian Brennecke, Serena Cenatiempo, Benjamin Schlein

We consider systems of N bosons in a box with volume one, interacting through a repulsive two-body potential of the form \kappa N^{3\beta-1} V(N^\beta x). For all 0 < \beta < 1, and for...

Monday, 10 April, 2017
Florent Benaych-Georges, Charles Bordenave, Antti Knowles

We establish bounds on the spectral radii for a large class of sparse random matrices, which includes the adjacency matrices of inhomogeneous Erd\H{o}s-R\'enyi graphs. For the Erd\H{o}s-R\'enyi...

Monday, 10 April, 2017
Antti Kemppainen, Stanislav Smirnov

In this paper, we show that the interfaces in FK Ising model in any domain with 4 marked boundary points and wired--free--wired--free boundary conditions conditioned on a specific internal arc...

Thursday, 30 March, 2017
Artem Borin, Eugene Sukhorukov

The Fermi edge singularity (FES) is a prominent manifestation of the Coulomb interaction. It can be observed in a controllable way by studying the transport through a quantum dot (QD), which is...

Monday, 27 March, 2017
Jérémy Faupin, Jürg Fröhlich

We consider an abstract pseudo-Hamiltonian for the nuclear optical model, given by a dissipative operator of the form H = H_V - i C^* C, where H_V = H_0 + V is self-adjoint and C is a bounded...

Sunday, 19 March, 2017
Julien Guillod, Peter Wittwer

The existence of weak solutions to the stationary Navier-Stokes equations in the whole plane \mathbb{R}^2 is proven. This particular geometry was the only case left open since the work of Leray...

Friday, 17 March, 2017
Rinat Kashaev, Sergey Sergeev

Motivated by applications for non-perturbative topological strings in toric Calabi--Yau manifolds, we discuss the spectral problem for a pair of commuting modular conjugate (in the sense of...

Friday, 17 March, 2017
Benoit Fresse, Victor Turchin, Thomas Willwacher

We prove that the homotopy category of topological operads P satisfying P(0)=∗ forms a full subcategory of the homotopy category of all topological operads. We more precisely establish that we...

Friday, 17 March, 2017
Benoit Fresse, Victor Turchin, Thomas Willwacher

We express the rational homotopy type of the mapping spaces \mathrm{Map}^h(\mathsf D_m,\mathsf D_n^{\mathbb Q}) of the little discs operads in terms of graph complexes. Using known...

Thursday, 16 March, 2017
Anton Alekseev, Nariya Kawazumi, Yusuke Kuno, Florian Naef

In this paper, we describe a surprising link between the theory of the Goldman-Turaev Lie bialgebra on surfaces of genus zero and the Kashiwara-Vergne (KV) problem in Lie theory. Let Σ be an...

Wednesday, 15 March, 2017
Connor Behan, Leonardo Rastelli, Slava Rychkov, Bernardo Zan

We study the second-order phase transition in the d-dimensional Ising model with long-range interactions decreasing as a power of the distance 1/r^{d+s}. For s below some known value s∗...

Monday, 13 March, 2017
Jürg Fröhlich, Antti Knowles, Benjamin Schlein, Vedran Sohinger

We give a microscopic derivation of time-dependent correlation functions of the 1D cubic nonlinear Schrödinger equation (NLS) from many-body quantum theory. The starting point of our proof is...