Now showing items 1-20 of 62
A Measure of Media Bias
(Department of Economics, 2005)
In this paper we estimate ADA (Americans for Democratic Action) scores for major media outlets such as the New York Times, USA Today, Fox News' Special Report, and all three network television news shows. Our estimates ...
Organizational Structure and the Diversification Discount: Evidence from Commercial Banking
This paper provides evidence on organizational structure, geographic diversification, and performance at bank holding companies (BHCs). First, we show that a BHC's member banks benefit from access to the parent organization's ...
Can Entrepreneurship Be Taught?
Is entrepreneurship an innate ability or an acquired skill? Can entrepreneurial acumen be achieved and enhanced through education and training, or are certain people “born” to be entrepreneurs or to act entrepreneurially? ...
The Gaussian cotype of operators from C(K)
We show that the canonical embedding C(K) to LΦ(μ) has Gaussian cotype p, where μ is a Radon probability measure on K, and Φ is an Orlicz function equivalent to tp(log t)p/2 for large t.
Shifts in the Spatio-Temporal Growth Dynamics of Shortleaf Pine
(Environmental and Ecological Statistics, 2007)
Previous studies focusing on the growth history of pinus echinata at the edge of its geographical range have suggested that changes in growth correspond to climatic and non-climatic (e.g., anthropogenic) factors. We employ ...
Decomposition of analytic measures on groups and measure spaces
This paper provides a new approach to proving generalizations of the F.&M. Riesz Theorem, for example, the result of Helson and Lowdenslager, the result of Forelli (and de Leeuw and Glicksberg), and more recent results of ...
Hardy martingales and Jensen's inequality
Hardy martingales were introduced by Garling and used to study analytic functions on the N-dimensional torus TN, where analyticity is defined using a lexicographic order on the dual group ZN. We show how, by using basic ...
Comparison of Orlicz-Lorentz spaces
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 ...
Irrationality of Power Series for Various Number Theoretic Functions
We study formal power series whose coefficients are taken to be a variety of number theoretic functions, such as the Euler, Möbius and divisor functions. We show that these power series are irrational over ℤ [X], and we ...
On the Value Set of n! Modulo a Prime
We show that for infinitely many prime numbers p there are at least log log p/ log log log p distinct residue classes modulo p that are not congruent to n! for any integer n.
Whittaker-Fourier Coefficients of Metaplectic Eisenstein Series
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
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
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
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
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 ...
Some conjectures about integral means of ∂f and ∂¯f
We discuss some conjectural inequalities concerning a problem from the calculus of variations, namely that rank 1 convex functions are quasi-convex. An affirmative answer would also give the best constants for the ...
The purpose of this article is to summerize some recent results of the author about Orlicz-Lorentz spaces - function spaces that provide a common generalization of Orlicz spaces and Lorentz spaces.
Measuring the magnitude of sums of independent random variables
This paper considers how to measure the magnitude of the sum of independent random variables in several ways. We give a formula for the tail distribution for sequences that satisfy the so called Lévy property. We then give ...
Concrete representation of martingales
Let (fn) be a mean zero vector valued martingale sequence. Then there exist vector valued functions (dn) from [0,1]n such that ∫01 dn(x1,...,xn) dxn = 0 for almost all x1,...,xn-1, and such that the law of (fn) is the same ...
A transference theorem for ergodic H1
In this paper, we extend the basic transference theorem for convolution operators on Lp spaces of Coifman and Weiss to H1 spaces.