Liouville copulas, which were introduced in [27], are asymmetric generalizations of the ubiquitous Archimedean copula class. They are the dependence structures of scale mixtures of Dirichlet distributions, also called Liouville distributions. In this paper, the limiting extreme-value copulas of Liouville copulas and of their survival counterparts are derived. The limiting max-stable models, ter...

Gaussian noise stability results have recently played an important role in proving results in hardness of approximation in computer science and in the study of voting schemes in social choice. We prove a new Gaussian noise stability result generalizing an isoperimetric result by Borell on the heat kernel and derive as applications: • An optimality result for majority in the context of Condorcet...

Scale and affine-invariant local features have shown excellent performance in image matching, object and texture recognition. This paper optimizes keypoint detection to achieve stable local descriptors, and therefore, an improved image representation. The technique performs scale selection based on a region descriptor, here SIFT, and chooses regions for which this descriptor is maximally stable...

Intraoperative assessment of surgical margins is critical to ensuring residual tumor does not remain in a patient. Previously, we developed a fluorescence structured illumination microscope (SIM) system with a single-shot field of view (FOV) of 2.1 × 1.6 mm (3.4 mm2) and sub-cellular resolution (4.4 μm). The goal of this study was to test the utility of this technology for the detection of resi...

Abstract There are many nanoscale pores in deep low permeability coal seams. The flow of coalbed methane (gas) belongs to the gas porous media with medium and high Knudsen numbers. Its mechanism is one key unsolved scientific problems. In order explore transport law nanopores coal, a model based on microscopic boundary restriction was adopted describe law, its rationality verified by experiment...

The goal of this paper is two-fold: 1. We review classical and recent measures of serial extremal dependence in a strictly stationary time series as well as their estimation. 2. We discuss recent concepts of heavy-tailed time series, including regular variation and max-stable processes. Serial extremal dependence is typically characterized by clusters of exceedances of high thresholds in the se...

We give a new construction of the minimal unitary representation of the exceptional group E 8(8) on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respect to the E 7(7) subgroup of E 8(8) our formulas are simpler than previous realizations, and thus well suited for applications in supergravity and superstring theory. One possible application arises i...

We show that certain geometrically defined higher codimension cycles are extremal in the effective cone of the moduli spaceMg,n of stable genus g curves with n ordered marked points. In particular, we prove that codimension two boundary strata are extremal and exhibit extremal boundary strata of higher codimension. We also show that the locus of hyperelliptic curves with a marked Weierstrass po...

We propose a family of dilaton gravity models possessing bouncing solutions with interiors connecting separate asymptotically flat regions. demonstrate that inner Cauchy horizons are stable given certain initial conditions. study causal structure and evaluate thermodynamic properties black bounces using Euclidean methods. Extremal have zero temperature can be considered as remnants. speculate q...