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The scope of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE). For monoparametric families of PDE/DDE’...
The determinants (|rho^{PT}|) of the partial transposes of 4 x 4 density matrices (rho) have possible values in the interval [-1/16, 1/256], and are nonnegative if and only if rho is separable. In arX...
In manifold learning, algorithms based on graph Laplacians constructed from data have received considerable attention both in practical applications and theoretical analysis. In particular, the conv...
Brownian motion with known positive drift is sampled in stages until it crosses a positive boundary a. A family of multistage samplers that con- trol the expected overshoot over the boundary by vary...
Multivariate data summarized over areal units (counties, zip codes, etc.) are common in the eld of public health. Estimation or testing of geo- graphic boundaries for such data may have varied goals...
Using a probabilistic technique we obtain upper and lower estimates for the Poisson kernels of the second order diflerential operators on a homogeneous manifold of negative curvature. Our results i...
The Internet is enabling a new economy based on the networking of human knowledge. While the benefits of using I.T. to connect people to people and people to information within a business are commonly...
This paper reports from an interpretive case study conducted in a multinational company that operates in the marine insurance industry. The study focuses on how structural diversity influences knowled...
Let B be a standard Brownian motion and let b_gamma be a piecewise linear continuous boundary function. In this paper we obtain an exact asymptotic expansion of P{ B(t)< b_gamma(t), forall tin [0,1]} ...
Let $A=(A_1,A_2,A_3,ldots)$ be a random sequence of non-negative numbers that are ultimately zero with $E[sum A_i]=1$ and $E left[sum A_{i} log A_i right] leq 0$. The uniqueness of the non-negative fi...
Let p1 ≤ p2 and consider estimating a fixed set {x : p1 ≤ f(x) ≤ p2} by the random set {x : p1 ≤ b fn(x) ≤ p2}, where b fn is a consistent estimator of the continuous function f. This paper gives co...

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