The question is whether these two requirements are equivalent and whether we can get the nice concentration for both of them. They are not equivalent as the following example shows. Consider a random walk on the integers with a reflecting wall at 0 where the first step chooses whether the walk is in the non negative or non positive integers. That is X0 = 0, the first step is random in {−1, 1} a...

....................................................................................................................................... i Résumé ........................................................................................................................................ i Executive summary ..................................................................................................

....................................................................................................................................... i Résumé ........................................................................................................................................ i Executive summary ..................................................................................................

Recently we have described a normal plasma activity that modulates contact activation by inhibiting adsorption of factor XI to activating surfaces. Here we report the first identified case in which a patient has abnormal clotting tests due to an excess of a similar activity. The patient's plasma had a prolonged partial thromboplastin time and low apparent factor XI assay. His plasma prolonged t...

(2497 articles) Hemostasis, Thrombosis, and Vascular Biology • (1597 articles) Free Research Articles • (3667 articles) Clinical Trials and Observations • Articles on similar topics can be found in the following Blood collections http://bloodjournal.hematologylibrary.org/site/misc/rights.xhtml#repub_requests Information about reproducing this article in parts or in its entirety may be found ...

This document provides additional description to certain con1 tent of the paper and additional results of the A field-based 2 flow visualization. 3 1. Detailed Derivation of Relation between FTLE and Path4 line Orientation Vector 5 Recall that in Section 5.2 of the paper, the Lagrangian accu6 mulation is applied to collect vector-valued properties. Specif7 ically, we use it to accumulate the fl...

Letting π : X → Y be a one-block factor map and Φ be an almostadditive potential function on X, we prove that if π has diamond, then the pressure P (X,Φ) is strictly larger than P (Y, πΦ). Furthermore, if we define the ratio ρ(Φ) = P (X,Φ)/P (Y, πΦ), then ρ(Φ) > 1 and it can be proved that there exists a family of pairs {(πi,Xi)}ki=1 such that πi : Xi → Y is a factor map between Xi and Y , Xi ⊆...

Given two positive integers n, r, we define the Gaudin function of level r to be quotient of the numerator of det ( ((xi − yj)(xi − tyj) · · · (xi − tyj)) )

We prove Borchardt’s identity det ( 1 xi − yj ) per ( 1 xi − yj ) = det ( 1 (xi − yj) ) by means of sign-reversing involutions.