Asymptotics of the spectrum of inhomogeneous plate with light-weight stiff inclusions(in Ukrainian) [PDF]
The Dirichlet spectral problem for an elliptic operator of the fourthorder with singularly perturbed coefficients is considered.The problem describes the eigenmodes of a plate with finite number ofthe stiff and light-weight inclusions of an arbitrary ...
V. M. Hut, Yu. D. Golovaty
doaj
Functional Sieve Bootstrap for the Partial Sum Process With an Application to Change‐Point Detection
ABSTRACT This article applies the functional sieve bootstrap (FSB) to estimate the distribution of the partial sum process for time series stemming from a weakly stationary functional process. Consistency of the FSB procedure under weak assumptions on the underlying functional process is established.
Efstathios Paparoditis +2 more
wiley +1 more source
A New Approach to Statistical Inference for Functional Time Series
ABSTRACT The analysis of time‐indexed functional data plays an important role in the field of business and economic statistics. In the literature, statistical inference for functional time series often involves reducing the dimension of functional data to a finite dimension K$$ K $$, followed by the use of tools from multivariate analysis.
Hanjia Gao, Yi Zhang, Xiaofeng Shao
wiley +1 more source
When is the first eigenfunction for the clamped plate equation of fixed sign?
It is known that the first eigenfunction of the clamped plate equation, $Delta^2 varphi = lambda varphi$ in $Omega$ with $varphi=frac{partial}{partial n}varphi=0$ on $partialOmega$, is not necessarily of fixed sign.
Guido Sweers
doaj
Application of Group‐Theoretical Approaches in Structural Natural Frequency Analyses
ABSTRACT Group theory has profoundly advanced physics and chemistry in systems with symmetries. Yet its use in structural engineering applications has not yet been fully explored beyond the aesthetics of symmetric designs. This work addresses two significant gaps that have limited the broader adoption of group‐theoretic methods in structural vibration ...
Shiyao Sun, Kapil Khandelwal
wiley +1 more source
Long Term Risk: An Operator Approach [PDF]
We create an analytical structure that reveals the long run risk-return relationship for nonlinear continuous time Markov environments. We do so by studying an eigenvalue problem associated with a positive eigenfunction for a conveniently chosen family ...
Jose Scheinkman, Lars Peter Hansen
core
On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory
We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
wiley +1 more source
An eigenvalue problem for the infinity-Laplacian
In this work, we study an eigenvalue problem for the infinity-Laplacian on bounded domains. We prove the existence of the principal eigenvalue and a corresponding positive eigenfunction.
Tilak Bhattacharya, Leonardo Marazzi
doaj
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Fundamentals of Deep‐Subwavelength Near‐Field Imaging With Hyperbolic Polaritons
Hyperbolic polaritons enable deep‐subwavelength near‐field imaging. This work reveals the intrinsic resolution limit of polaritonic imaging by linking it to the linewidth of hyperbolic polariton beams. A negative‐refraction‐based strategy is proposed to achieve scale fidelity under appropriate thickness configurations and to mitigate geometrical ...
Tianran Yu +7 more
wiley +1 more source

