We are interested in two kinds of GFF. The rst one, mainly referred as GFF in the forth comings, is indexed by H(D), where D ⊆ R is some bounded domain, and H (D) is the closure of C∞ c (D) under the Dirichlet inner product (·, ·)∇ on D. The other one is the massive GFF. which is indexed by the standard Sobolev space H (R). As we can see from [3] and [4], when n = 2, the circle "average" of the...

We study generalized free fields (GFF) from the point of view information measures. first review conformal GFF, their holographic representation, and ambiguities in assignation algebras to regions that arise these theories. Then we mutual (MI) several geometric configurations. The MI displays unusual features at short distance limit: a leading volume term rather than an area term, logarithmic a...

The d-dimensional Gaussian free field (GFF), also called the (Euclidean bosonic) massless free field, is a d-dimensional-time analog of Brownian motion. Just as Brownian motion is the limit of the simple random walk (when time and space are appropriately scaled), the GFF is the limit of many incrementally varying random functions on d-dimensional grids. We present an overview of the GFF and som...

We study a generalization of the notion of Gaussian free field (GFF). Although the extension seems minor, we first show that a generalized GFF does not satisfy the spatial Markov property, unless it is a classical GFF. In stochastic homogenization, the scaling limit of the corrector is a possibly generalized GFF described in terms of an “effective fluctuation tensor” that we denote by Q. We pro...

A t the World Economic Forum this year, World Bank President Jim Kim proposed the Global Financing Facility (GFF) to donors as an innovative model for investing in reproductive, maternal, newborn, child, and adolescent health and nutrition (RMNCAH-N). The World Bank believes that business as usual is not enough to close the annual financing gap of $33.3bn (£25.4bn; €28.4bn) to meet the 2030 sus...

BACKGROUND Long-acting muscarinic antagonist/long-acting β2-agonist combinations are recommended for patients whose chronic obstructive pulmonary disease (COPD) is not managed with monotherapy. We assessed the efficacy and safety of glycopyrrolate (GP)/formoterol fumarate (FF) fixed-dose combination delivered via a Co-Suspension™ Delivery Technology-based metered dose inhaler (MDI) (GFF MDI). ...

Humane use of preclinical large animal cancer models plays a critical role in understanding cancer biology and developing therapeutic treatments. Among the large animal candidates, goats have great potentials as sustainable sources for large animal cancer model development. Goats are easier to handle and cheaper to raise. The genome of the goats has been sequenced recently. It has been known th...

In the in vitro production (IVP) of mammalian embryos, the efficiency of fertilization and post-fertilization development is influenced markedly by in vitro maturation (IVM) conditions (Fukui and Ono, 1989). Mammalian oocytes can spontaneously undergo germinal vesicle breakdown and subsequent formation of metaphase-II stage during maturation and almost similar development occurs in both in vivo...

We consider the maximum of the discrete two dimensional Gaussian free field (GFF) in a box, and prove that its maximum, centered at its mean, is tight, settling a long–standing conjecture. The proof combines a recent observation of [BDZ10] with elements from [Br78] and comparison theorems for Gaussian fields. An essential part of the argument is the precise evaluation, up to an error of order 1...

Background. Internal thoracic artery (ITA) is a very useful conduit for coronary artery bypass artery (CABG), with excellent long-term patency. With the purpose to dilate the ITA graft and increase graft free flow (GFF) intraoperatively, we evaluated the usefulness of intraluminal injection of fasudil, a Rho-kinase inhibitor, and compared with the conventional graft dilating agent papaverine. M...