## Search

Now showing items 21-40 of 62

#### The annular hull theorems for the kinematic dynamo operator for an ideally conducting fluid

(2011)

The group generated by the kinematic dynamo operator in the space of continuous divergence-free sections of the tangent bundle of a smooth manifold is studied. As shown in previous work, if the underlying Eulerian flow is ...

#### A Hierarchical Bayesian Non-linear Spatio-temporal Model for the Spread of Invasive Species with Application to the Eurasian Collared-Dove

(Environmental and Ecological Statistics, 2007)

Differential equation based advection-diffusion models have been used in atmospheric science to mimic complex processes such as weather and climate. Differential and partial-differential equations (PDE's) have become popular ...

#### The Distribution of Non-Commutative Rademacher Series

(2011)

We give a formula for the tail of the distribution of the non-commutative Rademacher series, which generalizes the result that is already available in the commutative case. As a result, we are able to calculate the norm ...

#### p-summing operators on injective tensor products of spaces

(2011)

Let X, Y and Z be Banach spaces, and let Πp(Y,Z) (1 ≤ p < ∞) denote the space of p-summing operators from Y to Z. We show that, if X is a £∞-space, then a bounded linear operator T:X⊗εY→Z is 1-summing if and only if a ...

#### A counterexample to the smoothness of the solution to an equation arising in fluid mechanics

(2011)

We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discuss a couple of ways to extend this notion to viscous fluids. The main focus of this paper is to discuss the first way, due to ...

#### Conditions implying regularity of the three dimensional Navier-Stokes equation

(2011)

We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac ...

#### Whittaker-Fourier Coefficients of Metaplectic Eisenstein Series

(2003)

It is shown that the Fourier-Whittaker coefficients of Eisenstein series on the n-fold cover of GL(n) are L-functions, improving prior results of T. Suzuki.

#### Short Kloosterman Sums for Polynomials over Finite Fields

(2003)

We extend to the setting of polynomials over a finite field certain estimates for short Kloosterman sums originally due to Karatsuba.
Our estimates are then used to establish some uniformity of distribution results in the ...

#### Character Sums over Integers with Restricted g-ary Digits

(2002)

We establish upper bounds for multiplicative character sums and exponential sums over sets of integers that are described by various
properties of their digits in a fixed base g ≥ 2. Our main tools are the Weil and ...

#### Matrix inequalities with applications to the theory of iterated kernels

(2003)

For an m × n matrix A with nonnegative real entries, Atkinson, Moran and Watterson proved the inequality s(A)3 ≤ mns(AAtA), where At is the transpose of A, and s(·) is the sum of the entries. We extend this result to finite ...

#### On the Number of Sparse RSA Exponents

(2002)

An RSA modulus is a product M = pl of two primes p and l. We show that for almost all RSA moduli M, the number of sparse exponents e (which allow for fast RSA encryption) with the property that gcd(e,φ(M)) = 1 (hence RSA ...

#### Efficient Statistical Mapping of Avian Count Data

(Environmental and Ecological Statistics, 2005)

We develop a spatial modeling framework for count data that is efficient to implement in high-dimensional prediction problems. We consider spectral parameterizations for the spatially varying mean of the Poisson model. The ...

#### Predicting the Spatial Distribution of Ground Flora on Large Domains Using a Hierarchical Bayesian Model

(Landscape Ecology, 2003)

Accomodation of important sources of uncertainty in ecological models is essential to realistically predicting ecological processes. The purpose of this project is to develop a robust methodology for modeling natural ...

#### Lyapunov theorems for Banach spaces

(2011)

We present a spectral mapping theorem for semigroups on any Banach space E. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for E-valued functions. This characterization ...

#### Complemented subspaces of spaces obtained by interpolation

(2011)

If Z is a quotient of a subspace of a separable Banach space X, and V is any separable Banach space, then there is a Banach couple (A0,A1) such that A0 and A1 are isometric to X⊕V, and any intermediate space obtained using ...

#### On a weak type (1, 1) inequality for a maximal conjugate function

(2011)

In a celebrated paper, Burkholder, Gundy, and Silverstein used Brownian motion to derive a maximal function characterization of Hp spaces for 0 < p < ∞. In this paper, we show that their method extends to higher dimensions ...

#### Bounds on the tail probability of u-statistics and quadratic forms

(2011)

The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of non-linear k-correlations of n > k independent random variables.

#### Values of the Euler Function in Various Sequences

(2005)

Let φ (n) and λ(n) denote the Euler and Carmichael functions, respectively. In this paper, we investigate the equation φ (n)r = λ(n)s, where r ≥ s ≥ 1 are fixed positive integers. We also study those positive integers n, ...

#### The Hardy operator and Boyd indices

(2011)

We give necessary and sufficient conditions for the Hardy operator to be bounded on a rearrangement invariant quasi-Banach space in terms of its Boyd indices.

#### Comparison of Orlicz-Lorentz spaces

(2011)

Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastylo, Maligranda, and Kaminska. In this paper, we consider the problem of ...