Results 41 to 50 of about 201 (167)
Majorization bounds for distribution functions
Statistics & Probability Letters, 2012 Let $X$ be a random variable with distribution function $F,$ and $X_{1},X_{2},...,X_{n}$ are independent copies of $X.$ Consider the order statistics $X_{i:n},$ $i=1,2,...,n$ and denote $F_{i:n}(x)=P\{X_{i:n}\leq x\}.$ Using majorization theory we write upper and lower bounds for $F$ expressed in terms of mixtures of distribution functions of order ...
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On a rigidity property for quadratic gauss sums
Mathematika, Volume 72, Issue 1, January 2026.Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
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Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED +3 more
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Projection‐based estimators for matrix/tensor‐valued data
Scandinavian Journal of Statistics, Volume 52, Issue 4, Page 2152-2186, December 2025.Abstract A general approach for extending estimators to matrix‐ and tensor‐valued data is proposed. The extension is based on using random projections to project out dimensions of a tensor and then computing a multivariate estimator for each projection. The mean of the obtained set of estimates is used as the final, joint estimate. In some basic cases,
Joni Virta +2 more
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Heat Transfer in n‐Dimensional Parallelepipeds Under Zero Dirichlet Conditions
Engineering Reports, Volume 7, Issue 10, October 2025.The graphical abstract visually summarizes the analytical study of heat propagation in an n‐dimensional domain: Top Left: Shows a unit cube transformed into a parallelepiped via an affine transformation, representing the geometric generalization of the domain.
Zafar Duman Abbasov +4 more
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Harmonic Majorization for Plurisubharmonic Functions.
Interdisciplinary Information Sciences, 1995 Summary: A criterion is given for the existence of harmonic majorants for nonnegative plurisubharmonic functions on the generalized half-plane in \(\mathbb C^n\).
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Mixed orthogonality graphs for continuous‐time state space models and orthogonal projections
Journal of Time Series Analysis, Volume 46, Issue 4, Page 692-726, July 2025.In this article, we derive (local) orthogonality graphs for the popular continuous‐time state space models, including in particular multivariate continuous‐time ARMA (MCARMA) processes. In these (local) orthogonality graphs, vertices represent the components of the process, directed edges between the vertices indicate causal influences and undirected ...
Vicky Fasen‐Hartmann, Lea Schenk
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Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
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S-Matrix of Nonlocal Scalar Quantum Field Theory in Basis Functions Representation
Particles, 2019 Nonlocal quantum theory of a one-component scalar field in D-dimensional Euclidean spacetime is studied in representations of S -matrix theory for both polynomial and nonpolynomial interaction Lagrangians.
Ivan V. Chebotarev +3 more
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View‐Dependent Visibility Optimization for Monte Carlo Volume Visualization
Computer Graphics Forum, Volume 44, Issue 2, May 2025.Abstract Compared to classic ray marching‐based approaches, Monte Carlo ray tracing for volume visualization can provide faster frame times through progressive rendering, improved image quality, and allows for advanced illumination models more easily. Techniques such as the view‐dependent optimization of visibility and illumination of important regions,
Nathan Lerzer, Carsten Dachsbacher
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