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The contribution is part of an interdisciplinary research that aims to address the problems of knowledge, interpretation and documentation of vulnerable structures such as the brick Renaissance domes ...
Consider the projective coordinate ring of the GIT quotient (P1)n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2]we s...
The ring of projective invariants of n ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point...
Let G denote a connected reductive group, de ned and split over Z, and let M  G denote a Levi subgroup. In this paper we study varieties of geodesic triangles with xed vector-valued side-lengths ...
Suppose a discrete-time signal S(t), 0  tde of spike sequences 1ft= g and sinu- soids expf2iwt=N)=p N. Can one re...
Suppose we have observations yi = si +zi, i = 1; :::; n, where (si) is signal and (zi) is i.i.d. Gaussian white noise. Suppose we have available a library L of orthogonal bases, such as the Wavelet ...
With ideal spatial adaptation, an oracle furnishes information about how best to adapt a spatially variable estimator, whether piecewise constant, piecewise polynomial, variable knot spline, or vari...
We prove that there is a Gδ σ-ideal of compact sets which is strictly above NWD in the Tukey order. Here NWD is the collection of all compact nowhere dense subsets of the Cantor set. This answers a qu...
The ring of projective invariants of n ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the poin...
We consider the fundamental problem of estimating the mean of a vector y = Xβ + z, where X is an n× p design matrix in which one can have far more variables than observations and z is a stochastic err...
We develop a model of issue-specific voting behavior. This model can be used to explore lawmakers' personal voting patterns of voting by issue area, providing an exploratory window into how the langua...
Graphene-based sp2-carbon nanostructures such as carbon nanotubes and nanofibers can fail near their ideal strengths due to their exceedingly small dimensions. We have calculated the phonon spectra ...
The prevalence of sulfidic sediments in inland wetlands has been recognized in the last few years in many parts of the world including Australia (Lamontagne et al., 2006). Under conditions of very hig...
Abstract: We provide an irreducibility test and factoring algorithm (with some qualificiations) for formal power series in the unique factorization domain $R[[X]]$, where $R$ is any principal ideal do...
Abstract: Let K be a finite field and let X be a subset of a projective space, over the field K, which is parameterized by monomials arising from the edges of a clutter. We show some estimates for the...

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