Annales Henri Poincaré

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Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times
Annales Henri Poincaré - Tập 16 - Trang 1837-1868 - 2015
Felix Finster, Alexander Strohmaier
We give a complete framework for the Gupta–Bleuler quantization of the free electromagnetic field on globally hyperbolic space-times. We describe one-particle structures that give rise to states satisfying the microlocal spectrum condition. The field algebras in the so-called Gupta–Bleuler representations satisfy the time-slice axiom, and the corresponding vacuum states satisfy the microlocal spec...... hiện toàn bộ
Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature
Annales Henri Poincaré - - 2021
Martin Kolb, Tobias Weich, Lasse L. Wolf
The kinetic Brownian motion on the sphere bundle of a Riemannian manifold  $$\mathbb {M}$$ is a stochastic process that models a random perturbation of the geodesic flow. If $$\mathbb {M}$$ is an o...... hiện toàn bộ
A Nonrelativistic Quantum Field Theory with Point Interactions in Three Dimensions
Annales Henri Poincaré - - 2019
Jonas Lampart
Phase Space Reduction of Star Products on Cotangent Bundles
Annales Henri Poincaré - Tập 6 - Trang 485-552 - 2005
Niels Kowalzig, Nikolai Neumaier, Markus J. Pflaum
In this paper we construct star products on Marsden-Weinstein reduced spaces in case both the original phase space and the reduced phase space are (symplectomorphic to) cotangent bundles. Under the assumption that the original cotangent bundle T*Q carries a symplectic structure of form $$\omega _{B_0 } = \omega _0 + \pi ...... hiện toàn bộ
A Volumetric Penrose Inequality for Conformally Flat Manifolds
Annales Henri Poincaré - Tập 12 - Trang 67-76 - 2010
Fernando Schwartz
We consider asymptotically flat Riemannian manifolds with non-negative scalar curvature that are conformal to $${\mathbb{R}^{n}{\setminus} \Omega, n\ge 3}$$ , and so that their boundary is a minimal hypersurface. (Here, $${\Omeg...... hiện toàn bộ
Derivation of an Ornstein–Uhlenbeck Process for a Massive Particle in a Rarified Gas of Particles
Annales Henri Poincaré - - 2018
Thierry Bodineau, Isabelle Gallagher, Laure Saint‐Raymond
On Quantum Percolation in Finite Regular Graphs
Annales Henri Poincaré - Tập 16 - Trang 2465-2497 - 2014
Charles Bordenave
The aim of this paper is twofold. First, we study eigenvalues and eigenvectors of the adjacency matrix of a bond percolation graph when the base graph is finite and well approximated locally by an infinite regular graph. We relate quantitatively the empirical measure of the eigenvalues and the delocalization of the eigenvectors to the spectrum of the adjacency operator of the percolation on the in...... hiện toàn bộ
Characterization of the Quasi-Stationary State of an Impurity Driven by Monochromatic Light I: The Effective Theory
Annales Henri Poincaré - Tập 13 Số 6 - Trang 1305-1370 - 2012
Jean‐Bernard Bru, W. de Siqueira Pedra, Matthias Westrich
Formation of Higher-dimensional Topological Black Holes
Annales Henri Poincaré - - 2009
Filipe C. Mena, José Natário, Paul Tod
We study higher-dimensional gravitational collapse to topological black holes in two steps. First, we construct some (n + 2)-dimensional collapsing space–times, which include generalised Lemaître–Tolman–Bondi-like solutions, and we prove that these can be matched to static Λ-vacuum exterior space–times. We then investigate the global properties of the matched solutions which, besides black holes, ...... hiện toàn bộ
Nonequilibrium Statistical Mechanics of Weakly Stochastically Perturbed System of Oscillators
Annales Henri Poincaré - Tập 17 - Trang 1825-1882 - 2015
Andrey Dymov
We consider a finite region of a d-dimensional lattice, $${d \in \mathbb{N}}$$ , of weakly coupled harmonic oscillators. The coupling is provided by a nearest-neighbour potential (harmonic or not) of size ...... hiện toàn bộ
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