Results 91 to 100 of about 1,369 (204)
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley +1 more source
Finite‐Block Polynomial and Volterra Structure in Reservoir Computing
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley +1 more source
On Metric Choice in Dimension Reduction for Fréchet Regression
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
Mitigating Black Pod Disease in Cocoa Plants: An Optimal Control and Cost‐Effectiveness Analysis
ABSTRACT Black pod disease (BPD), caused by Phytophthora species, continues to pose a significant threat to cocoa production, particularly in tropical regions where cocoa farming is a major economic activity. This study develops a deterministic compartmental model to understand the transmission dynamics of BPD and evaluate the impact of multiple ...
Bernard Asamoah Afful
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Cooperative and Non‐Cooperative Solutions in a Dynamic Model of Forest Management
ABSTRACT This study develops a deterministic finite‐horizon bioeconomic control model linking forest biomass, biodiversity, cumulative harvesting pressure, and disturbance‐motivated expected biodiversity losses. Biodiversity is modeled as a productive state variable that feeds back into biomass growth, while cumulative harvesting pressure records the ...
Seyedalireza Seyedi +2 more
wiley +1 more source
This paper considers a general three-dimensional ABC fractional dynamical system formulated in a bounded locally compact Hausdorff space. The locally compact Hausdorff structure ensures that the compact-open topology on the space of continuous functions ...
Hasan N. Zaidi +6 more
doaj +1 more source
Inference on Common Trends in a Cointegrated Nonlinear SVAR
ABSTRACT We consider the problem of performing inference on the number of common stochastic trends when data is generated by a cointegrated CKSVAR (a two‐regime, piecewise affine SVAR; Mavroeidis, 2021), using a modified version of the Breitung (2002) multivariate variance ratio test that is robust to the presence of nonlinear cointegration (of a known
James A. Duffy, Xiyu Jiao
wiley +1 more source
Groups with a finite Busemann boundary are virtually cyclic
Abstract This note is a continuation of the study of the relationship between the geometry of Cayley graphs and the size of its metric‐functional boundary. We show that if there exists a Cayley graph with finitely many Busemann points, then the underlying group is virtually cyclic.
Corentin Bodart +2 more
wiley +1 more source
Fourier series of local Lipschitz functions on zero-dimensional groups
The author gives the analogue of the Bernstein-Szász theorems for n- local Lipschitz functions. Another theorem shows the exactness of the results by \textit{J. R. Patadia}, \textit{J. H. Williamson} [Q. J. Math., Oxf. II. Ser. 37, 81-93 (1986; Zbl 0607.43004)].
openaire +2 more sources

