Results 41 to 50 of about 1,071,338 (106)
Selector form of Weaver's conjecture and frame sparsification
Abstract We show an extension of a probabilistic result of Marcus, Spielman, and Srivastava, which resolved the Kadison–Singer problem, to block diagonal positive semidefinite random matrices. We use this result to show several selector results, which generalize their partition counterparts.
Marcin Bownik
wiley +1 more source
The Monomiality Principle Applied to Extensions of Apostol-Type Hermite Polynomials
In this research paper, we present a class of polynomials referred to as Apostol-type Hermite-Bernoulli/Euler polynomials $\mathcal{U}_\nu(x,y;\rho;\mu)$, which can be given by the following generating function\begin{equation*} \displaystyle \frac{2-\mu+\frac{\mu}{2}\xi}{\rho e^{\xi}+(1-\mu)}e^{x \xi+y \xi^2} =\displaystyle\sum\limits_{\nu=0 ...
Stiven Díaz +4 more
openaire +1 more source
Solving Stochastic Climate‐Economy Models: A Deep Least‐Squares Monte Carlo Approach
ABSTRACT Stochastic versions of recursive integrated climate‐economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid‐based dynamic programming (e.g., value‐function iteration/projection ...
Aleksandar Arandjelović +4 more
wiley +1 more source
New Bell–Sheffer Polynomial Sets
In recent papers, new sets of Sheffer and Brenke polynomials based on higher order Bell numbers, and several integer sequences related to them, have been studied. The method used in previous articles, and even in the present one, traces back to preceding
Pierpaolo Natalini, Paolo Emilio Ricci
doaj +1 more source
Restricted hyperplane sections of the cross‐polytope and the simplex
Abstract We give a new proof of Webb's theorem on maximal central hyperplane sections of the regular n$n$‐simplex Δn$\Delta _n$, viewed in its standard embedding in Rn+1$\mathbb {R}^{n+1}$. A similar method also yields sharp maximal estimates for noncentral sections of Δn$\Delta ^n$ whose distance d$d$ from the barycenter is small, namely d<1(n+1)(2n+1)
Silouanos Brazitikos, Christos Pandis
wiley +1 more source
Zeros of polynomials in derivatives of automorphic L$L$‐functions
Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source
Truncated-exponential-based Frobenius–Euler polynomials
In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function.
Wiyada Kumam +4 more
doaj +1 more source
Applying the monomiality principle to the new family of Apostol Hermite Bernoulli-type polynomials
Abstract In this article, we introduce a new class of polynomials, known as Apostol Hermite Bernoulli-type polynomials, and explore some of their algebraic properties, including summation formulas and their determinant form. The majority of our results are proven using generating function methods.
Ramírez, William, Cesarano, Clemente
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ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas +3 more
wiley +1 more source
A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source

