We show that for convex domains in Euclidean space, Cheeger’s isoperimetric inequality, spectral gap of the Neumann Laplacian, exponential concentration of Lipschitz functions, and the a-priori weakest requirement that Lipschitz functions have arbitrarily slow uniform tail-decay, are all quantitatively equivalent (to within universal constants, independent of the dimension). This substantially ...

An experimental study was performed to investigate the effects of the body angle of attack on the tail surface pressure distribution for a half body-tail combination in subsonic flow. The results show, in small deflection angle regions, that the tail deflection has the same effect on the surface pressure as the body angle of attack. However at moderate to high deflections, the flowfiled caused ...

Abstract Wealth aggregates implied by the Household Finance and Consumption Survey (HFCS) usually yield much lower amounts than macroeconomic statistics reported in National Accounts. An important source of this gap may be under-representation wealthiest households HFCS. This article therefore combines a semi-parametric Pareto model estimated from top survey data observations rich lists with no...

synGAP is a neuron-specific Ras GTPase-activating protein found in high concentration in the postsynaptic density fraction from mammalian forebrain. Proteins in the postsynaptic density, including synGAP, are part of a signaling complex attached to the cytoplasmic tail of the N-methyl-d-aspartate-type glutamate receptor. synGAP can be phosphorylated by a second prominent component of the comple...

In risk management, tail risks are of crucial importance. The quality a model, which is determined by data from an unknown distribution, depends critically on the subset used to model tail. Based suitably weighted mean square error, we present method that can separate required subset. selected determine parameters model. Notably, no parameter specifications have be made apply proposed procedure...

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Some degree of quenched disorder is present in nearly all solids, and can have a marked impact on their macroscopic...

Sounds produced continuously during flight potentially play important roles in avian communication, but the mechanisms underlying these sounds have received little attention. Adult male Red-billed Streamertail hummingbirds (Trochilus polytmus) bear elongated tail streamers and produce a distinctive 'whirring' flight sound, whereas subadult males and females do not. The production of this sound,...

Escape locomotion of the common dock shrimp, Pandalus danae Stimpson, is the result of a rapid flexion of the abdomen that lasts approximately 30 ms. The hydrodynamic forces that result from this motion lead to body accelerations in excess of 100ms~ and body rotations of about 75°. We examined the mechanics and kinematics of this mode of locomotion with both experimental and theoretical approac...

Defects in the band gap of CuIn12xGaxSe2 have been characterized using transient photocapacitance spectroscopy. The measured spectra clearly show response from a band of defects centered around 0.8 eV from the valence band edge as well as an exponential distribution of band tail states. Despite Ga contents ranging from Ga/(In1Ga)50.0 to 0.8, the defect bandwidth and its position relative to the...