This article explores the use of an information-entropy-based gene clustering method for genomic island detection in MRSA.

This article is concerned with optimality conditions and duality results for nondifferentiable multi-objective fractional programming problems.

This article reports on the origin, evolution, and diversification of the iron-sulfur (2Fe-2S) binding motif CDGSH.

This article predicts that marine-derived bacteria should inhibit Vibrio pathogens and may be a source of unique antibiotic compounds.

This article considers an analogous problem in which the observed random variables are the steps of a symmetric random walk. Assuming continuously distributed step sizes, it describes the optimal stopping rules for the cases n = 2 and n = 3 in two versions of the problem: a "full information" version in which the actual steps of the random walk are disclosed to the decision maker; and a "partial information" version in which only the relative ranks of the positions taken by the random walk are observed. When n = 3, the optimal rule and expected rank depend on the distribution of the step sizes. The authors give sharp bounds for the optimal expected rank in the partial information version, and fairly sharp bounds in the full information version.

Article reveal that the systemic transcriptomic response of plants to excess light stress is extensive in the context of systemic acquired acclimation and involves an early (2 min) and transient stage of transcript expression that includes thousands of genes.

This article proves an explicit integral representation—involving the pullback of a suitable Siegel Eisenstein series—for the twisted standard L-function associated to a holomorphic vector-valued Siegel cusp form of degree n and arbitrary level.

Article expanding the Intrinsic Diophantine approximation on fractals first proposed by K. Mahler (1984). This article describes and develops the theory of infinite de Bruijn sequences and answers questions related to Hausdorff dimension, Diophantine approximation, Dirichlet function, and height function.

This article identifies the principal features in Foias’ original proof and streamlines them into a general result. The result gives further evidence to the observation that the connection between the sequence with initial seed the Foias constant and the Prime Number Theorem must be fortuitous.

Article on the analogy between the description of the real square roots of 3x3 matrices and the zeros of the (depressed) real quartic polynomial, using the Cayley-Hamilton theorem.

Article describes how anthracycline-related cardiomyopathy is a leading cause of premature death in childhood cancer survivors. The authors interrogated differentially expressed genes (DEGs) to identify genetic variants serving regulatory functions or genetic variants not easily identified when using genomewide array platforms.

Data management plan for the grant, "Collaborative Research: Conference: Texas-Oklahoma Representations and Automorphic forms (TORA)."

Article verifying a conjecture of Vershik by showing that Hall’s universal countable locally finite group can be embedded as a dense subgroup in the isometry group of the Urysohn space and in the automorphism group of the random graph. It shows the same for all automorphism groups of known infinite ultraextensive spaces.

Article proving the existence of infinitely many radial solutions of ∆𝓊+𝐾(𝓇) ƒ (𝓊) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝᴺ with u = 0 on ∂BR and lim/r→∞ 𝓊(𝓇) = 0 where N > 2, f is odd with f < 0 on (0, β), f > 0 on (β, ∞), f is superlinear for large u, ƒ(𝓊) ∼ −1/(|𝓊|𝘲⁻¹𝓊) with 0 < q < 1 for small u, and 0 < 𝐾(𝓇) ≤ 𝐾₁/r∝ with 𝑁 + q(𝑁 − 2) < ∝ < 2(𝑁− 1) for large r.

Article studies radial solutions of ∆u + K(r)f(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝᶰ where f is odd with f < 0 on (0, β), f > 0 on (β, δ), f ≡ 0 for u > δ, and where the function K(r) is assumed to be positive and K(r) → 0 as r → ∞.

Article proves the existence of an infinite number of radial solutions to ∆u+K(r)f(u) = 0 on ℝᶰ such that limᵣ →∞ u(r) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 where f is odd with f < 0 on (0, β), f > 0 on (β, ∞) with f superlinear for large u, and K(r) ∼ r ⁻ᵅ with α > 2(N − 1).

This article proves the existence of an infinite number of radial solutions of Δu+K(r)ƒ(u) = 0, one with exactly n zeros for each nonnegative integer n on the exterior of the ball of radius R > 0, Bʀ, centered at the origin in ℝᴺ with u = 0 on ∂Bʀ and limᵣ→∞u(r) = 0 where N > 2, f is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞), ƒ(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r-α with 0 < α < 2 for large r.

This article proves the existence of an infinite number of radial solutions to Δu + K(r)ƒ(u) = 0 with a nonlinear boundary condition on the exterior of the ball of radius R centered at the origin in ℝᴺ.

This article proves the existence of radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball, of radius R, centered at the origin in ℝᴺ such that limᵣ→∞u(r) = 0 if R > 0 is sufficiently small.

This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝN with u = 0 on @BR where ƒ is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞), f(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r⁻ᵅ for large r.

Article presented at the 8th International Conference Words 2011 in Prague, Czech Republic. This article investigates the combinatorial complexity of infinite permutations on N associated with the image of uniformly recurrent aperiodic binary words under the letter doubling map.

Article addresses the question whether every Polish group that is not locally compact admits a Borel action on a standard Borel space whose associated orbit equivalence relation is not essentially countable. The authors e answer this question positively for the class of all Polish groups that embed in the isometry group of a locally compact metric space.

This article highlights a connection between Diophantine approximation and the lower Assouad dimension by using information about the latter to show that the Hausdorff dimension of the set of badly approximable points that lie in certain non-conformal fractals, known as self-affine sponges, is bounded below by the dynamical dimension of these fractals. The results, which are the first to advance beyond the conformal setting, encompass both the case of Sierpiński sponges/carpets (also known as Bedford–McMullen sponges/carpets) and the case of Barański carpets.

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