Lin, Chen-Yun Sormani, Christina
Published in
Annales Henri Poincaré

We provide estimates on the Bartnik mass of constant mean curvature surfaces which are diffeomorphic to spheres and have positive mean curvature. We prove that the Bartnik mass is bounded from above by the Hawking mass and a new notion we call the asphericity mass. The asphericity mass is defined by applying Hamilton’s modified Ricci flow and depen...

Sämann, Clemens
Published in
Annales Henri Poincaré

We show that the definition of global hyperbolicity in terms of the compactness of the causal diamonds and non-total imprisonment can be extended to spacetimes with continuous metrics, while retaining all of the equivalences to other notions of global hyperbolicity. In fact, global hyperbolicity is equivalent to the compactness of the space of caus...

van den Dungen, Koen Rennie, Adam
Published in
Annales Henri Poincaré

We present a definition of indefinite Kasparov modules, a generalisation of unbounded Kasparov modules modelling non-symmetric and non-elliptic (e.g. hyperbolic) operators. Our main theorem shows that to each indefinite Kasparov module we can associate a pair of (genuine) Kasparov modules, and that this process is reversible. We present three examp...

Rolla, Leonardo T. Sidoravicius, Vladas Zindy, Olivier
Published in
Annales Henri Poincaré

We consider the activated random walk model in any dimension with any sleep rate and jump distribution and ergodic initial state. We show that the stabilization properties depend only on the average density of particles, regardless of how they are initially located on the lattice.

Griesemer, M. Linden, U.
Published in
Annales Henri Poincaré

The Fermi polaron refers to a system of free fermions interacting with an impurity particle by means of two-body contact forces. Motivated by the physicists’ approach to this system, the present article describes a general mathematical framework for defining many-body Hamiltonians with two-body contact interactions by means of a renormalization pro...

Shapiro, Jacob Tauber, Clément
Published in
Annales Henri Poincaré

We study the strong disorder regime of Floquet topological systems in dimension two that describe independent electrons on a lattice subject to a periodic driving. In the spectrum of the Floquet propagator we assume the existence of an interval in which all states are localized—a mobility gap—extending previous studies which make the stronger spect...

Bambusi, Dario Langella, Beatrice Montalto, Riccardo
Published in
Annales Henri Poincaré

We prove reducibility of a transport equation on the d-dimensional torus Td\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {T}}^d$$\end{document} with a time q...

Marcelli, Giovanna Panati, Gianluca Tauber, Clément
Published in
Annales Henri Poincaré

We investigate spin transport in 2-dimensional insulators, with the long-term goal of establishing whether any of the transport coefficients corresponds to the Fu–Kane–Mele index which characterizes 2d time-reversal-symmetric topological insulators. Inspired by the Kubo theory of charge transport, and by using a proper definition of the spin curren...

Cornean, Horia D. Gontier, David Levitt, Antoine Monaco, Domenico
Published in
Annales Henri Poincaré

The existence and construction of exponentially localised Wannier functions for insulators are a well-studied problem. In comparison, the case of metallic systems has been much less explored, even though localised Wannier functions constitute an important and widely used tool for the numerical band interpolation of metallic condensed matter systems...

Christiansen, T. J.
Published in
Annales Henri Poincaré

This paper studies the resonances of Schrödinger operators with bounded, compactly supported, real-valued potentials on Rd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}...