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Evolution of initially contracting Bianchi Class A models in the presence of an ultra-stiff anisotropic pressure fluid
(Institute of PhysicsClassical and Quantum Gravity, 2016-05-12)
We study the behaviour of Bianchi class A universes containing an ultra-stiff isotropic ghost field and a fluid with anisotropic pressures which is also ultra-stiff on the average. This allows us to investigate whether ...
The symplectic arc algebra is formal
(Duke University PressDuke Mathematical Journal, 2016-01-28)
We prove a formality theorem for the Fukaya categories of the symplectic manifolds underlying symplectic Khovanov cohomology over fields of characteristic zero. The key ingredient is the construction of a degree-one ...
A short proof that every finite graph has a tree-decomposition displaying its tangles
(ElsevierEuropean Journal of Combinatorics, 2016-06-08)
We give a short proof that every finite graph (or matroid) has a tree-decomposition that displays all maximal tangles.
This theorem for graphs is a central result of the graph minors project of Robertson and Seymour and ...
On Short Time Existence of Lagrangian Mean Curvature Flow
(SpringerMathematische Annalen, 2016)
We consider a short time existence problem motivated by a conjecture of Joyce in [8]. Specifically we prove that given any compact Lagrangian L ⊂ C^n with a finite number of singularities, each asymptotic to a pair of ...
Towards mirror symmetry for varieties of general type
(ElsevierAdvances in Mathematics, 2016)
Balanced metrics on twisted Higgs bundles
(SpringerMathematische Annalen, 2016)
SMOOTH PRINCIPAL COMPONENT ANALYSIS OVER TWO-DIMENSIONAL MANIFOLDS WITH AN APPLICATION TO NEUROIMAGING
(Institute of Mathematical StatisticsThe Annals of Applied Statistics, 2016-01-05)
Motivated by the analysis of high-dimensional neuroimaging signals located over the cortical surface, we introduce a novel Principal Component Analysis technique that can handle functional data located over a two-dimensional ...
Data processing for the sandwiched Rényi divergence: a condition for equality
(SpringerLetters in Mathematical Physics, 2016)
The $\alpha$-sandwiched Rényi divergence satisfies the data processing inequality, i.e. monotonicity under quantum operations, for $\alpha$ $\geq$ 1/2. In this article, we derive a necessary and sufficient algebraic condition ...
Asymptotics of Partial Density Functions for Divisors
(SpringerThe Journal of Geometric Analysis, 2016-09-19)
We study the asymptotic behaviour of the partial density function associated to sections of a positive hermitian line bundle that vanish to a particular order along a fixed divisor $Y$ . Assuming the data in question is ...
Non-Backtracking Loop Soups and Statistical Mechanics on Spin Networks
(SpringerAnnales Henri Poincaré, 2016-10-20)
We introduce and study a Markov field on the edges of a graph $\mathcal{G}$ in dimension $\textit{d}$ ≥ 2 whose configurations are spin networks. The field arises naturally as the edge-occupation field of a Poissonian model ...