In this note, we show that if all Lyapunov exponents of a matrix cocycle vanish, then it can be perturbed to become cohomologous to a cocycle taking values in the orthogonal group. This extends a result of Avila, Bochi and Damanik to general base dynamics and arbitrary dimension. We actually prove a fibered version of this result, and apply it to study the existence of dominated splittings into...

We study the cosmological information of weak lensing (WL) peaks, focusing on two other statistics besides their abundance: the stacked tangential-shear profiles and the peak-peak correlation function. We use a large ensemble of simulated WL maps with survey specifications relevant to future missions like Euclid and lsst, to measure and examine the three peak probes. We find that the auto-corre...

Private query processing on encrypted databases allows users to obtain data from encrypted databases in such a way that the user’s sensitive data will be protected from exposure. Given an encrypted database, the users typically submit queries similar to the following examples: – How many employees in an organization make over $100,000? – What is the average age of factory workers suffering from...

The papers described here are grouped via topic and, within each group, listed in the order in which they were written. 1. The coarse geometry of Teichmüller space with the Teichmüller metric (1) The augmented marking complex of a surface. 2013; to appear in the Journal of the London Mathematical Society. I build an augmentation of the Masur-Minsky marking complex by Groves-Manning combinatoria...

Inspired and guided by the iRRAM C++ library (Müller 2001), we formally specify a programming language for the paradigm of Exact Real Computation (ERC): reliably operating on encapsulated continuous data types such as (not necessarily algebraic) real numbers — imperatively and exactly (no rounding errors) with primitives computable in the sense of Recursive Analysis including a necessarily modi...

The focus of the present paper is devoted to the thermal conductivity measurement of microwires or microfibers inserted in an homogeneous subrstrate plate. Some steday and mainly 1D heat transfer conditions are applied to the plate. When the size of the object of interest is almost at the spatial resolution limit of the thermal imaging system, the corresponding heat transfer parameters to be me...

On a closed Riemannian manifold pM, gq, the geodesic heat flow deforms loops through an energydecreasing homotopy uptq. It is known that there is a sequence tn Ñ 8 so that uptnq converges in C to a closed geodesic, but it is also known that convergence fails in general. We show that for a generic set of metrics on M , the heat flow converges for all initial loops. We also show that convergence,...

We study the mixing property for the skew product F : TdˆTl Ñ Td ˆ Tl given by F px, yq “ pTx, y ` τpxqq, where T : Td Ñ Td is a C8 uniformly expanding endomorphism, and the fiber map τ : Td Ñ Tl is a C8 map. We apply the semiclassical analytic approach to get the dichotomy: either F mixes exponentially fast or τ is an essential coboundary. In the former case, the Koopman operator p F of F has ...

This article outlines the shortcomings found in two well-known syntax-based typologies of internally headed relative constructions (IHRCs), and demonstrates the benefits of a typology that relies on the syntax-semantics interface and takes semantics seriously into account. It is argued that the latter approach yields a more revealing and empirically superior typology of IHRCs. 1. Introductory R...

background: the beginning of metastasis poorly affects the prognosis of breast cancer patients. lung is the most frequent site of visceral metastasis, and the rate of recurrence is 10-30%. we have tried to find out if the routine chest x ray (cxr) could play a role for early detection of lung metastasis, during the prognosis of these patients. methods: the files of the breast cancer patients be...