Results 31 to 40 of about 11,653 (147)
Asymptotics of the Euler number of bipartite graphs
, 2007 We define the Euler number of a bipartite graph on $n$ vertices to be the number of labelings of the vertices with $1,2,...,n$ such that the vertices alternate in being local maxima and local minima.
Ehrenborg +4 more
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
Journal of Time Series Analysis, EarlyView.ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues
, 2019 We study the optimal partitioning of a (possibly unbounded) interval of the real line into $n$ subintervals in order to minimize the maximum of certain set-functions, under rather general assumptions such as continuity, monotonicity, and a Radon-Nikodym ...
Tilli, Paolo, Zucco, Davide
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Functional Sieve Bootstrap for the Partial Sum Process With an Application to Change‐Point Detection
Journal of Time Series Analysis, EarlyView.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
Journal of Time Series Analysis, EarlyView.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
Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order [PDF]
Boundary Value Problems, 2010 Accurate asymptotic formulas are obtained for the eigenvalues and eigenfunctions of the nonself-adjoint fourth-order periodic boundary value problem \[ \begin{aligned} &u^{(4)}(t)+q(x)y=\lambda y, \quad 0\leq x\leq \pi,\\ &y^{(j)}(0)-y^{(j)}(\pi)=0,\quad j=0, 1, 2, 3, \end{aligned} \] where \(q(x)\) is a complex valued function satisfying \(\int_0^{\pi}
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Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
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Eigenvalue asymptotics and unique continuation of eigenfunctions on planar graphs
Annales de l'Institut FourierWe study planar graphs with large negative curvature outside of a finite set and the spectral theory of Schrödinger operators on these graphs. We obtain estimates on the first and second order term of the eigenvalue asymptotics. Moreover, we prove a unique continuation result for eigenfunctions and decay properties of general eigenfunctions. The proofs
Bonnefont, Michel +2 more
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Inverse Nodal Problem for a Conformable Fractional Diffusion Operator
, 2020 In this paper, a diffusion operator including conformable fractional derivatives of order {\alpha} ({\alpha} in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained.
Çakmak, Yaşar
core