Search
Now showing items 971-980 of 1850
Maximal Abelian Sets of Roots
(American Mathematical SocietyMemoirs of the American Mathematical Society, 2017-11)
In this work we let Φ be an irreducible root system, with Coxeter group W. We consider subsets of Φ which are abelian, meaning that no two roots in the set have sum in Φ∪{0}. We classify all maximal abelian sets (i.e., ...
On Villani's conjecture concerning entropy production for the Kac Master equation
(America Institute of Mathematical SciencesKinetic and Related Models, 2011-06-01)
In this paper we take an idea presented in recent paper by Carlen, Carvalho, Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new estimation essentially ...
Level-raising and symmetric power functoriality, III
(Duke University PressDuke Mathematical Journal, 2016-12-09)
The simplest case of the Langlands functoriality principle asserts the existence of
the symmetric powers Symn of a cuspidal representation of GL.2/ over the adèles of
F , where F is a number field. In 1978, Gelbart and ...
Harmonic Discs of Solutions to the Complex Homogeneous Monge-Ampere Equation
(SpringerPublications mathématiques de l'IHÉS, 2015-05-30)
We study regularity properties of solutions to the Dirichlet problem for the complex Homogeneous Monge-Ampere equation. We show that for certain boundary data on P^1 the solution Φ to this Dirichlet problem is connected ...
Sharp trace inequalities for fractional Laplacians
(American Mathematical SocietyProceedings of the American Mathematical Society, 2012-04-05)
The sharp trace inequality of José Escobar is extended to traces for the fractional Laplacian on Rⁿ and a complete characterization of cases of equality is discussed. The proof proceeds via Fourier transform and uses Lieb’s ...
A 2-adic automorphy lifting theorem for unitary groups over CM fields
(SpringerMathematische Zeitschrift, 2016)
We prove a ‘minimal’ type automorphy lifting theorem for 2-adic Galois representations of unitary type, over imaginary CM fields. We use this to improve an automorphy lifting theorem of Kisin for GL_2.
Spectral methods and computational trade-offs in high-dimensional statistical inference
(Department of Pure Mathematics and Mathematical Statistics, University of CambridgeUniversity of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsFaculty of MathematicsSt John's College, 2016-10-04)
Spectral methods have become increasingly popular in designing fast algorithms for modern highdimensional datasets. This thesis looks at several problems in which spectral methods play a central role. In some cases, we ...
The monotone wrapped Fukaya category and the open-closed string map
(SpringerSelecta Mathematica, 2016-08-09)
We build the wrapped Fukaya category $\textit{W}$($\textit{E}$)for any monotone symplectic manifold $\textit{E}$, convex at infinity. We define the open-closed and closed-open string maps, OC : HH$_{*}$($\textit{W}$($\textit{E}$)) ...
Automorphy of some residually S$_5$ Galois representations
(SpringerMathematische Zeitschrift, 2016)
Let $\textit{F}$ be a totally real field and $\textit{p}$ an odd prime. We prove an automorphy lifting theorem for geometric representations $\rho$ : $\textit{G}_F$ → GL$_2$($\bar{\Bbb Q}_p$) which lift irreducible residual ...
Envelopes of positive metrics with prescribed singularities
(Université Paul Sabatier, ToulouseAnnales de la Faculté des Sciences de Toulouse, 2016)
We investigate envelopes of positive metrics with a prescribed singularity type. First we generalise work of Berman to this setting, proving C$^{1,1}$ regularity of such envelopes, showing their Monge-Ampère measure is ...