Results 41 to 50 of about 704 (148)
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
A factorization of the direct limit of Hilbert cubes [PDF]
Proceedings of the American Mathematical Society, 1976 We show that the countable direct limit of Hilbert cubes Q ∞
openaire +1 more source
Clarkson’s Inequalities for Periodic Sobolev Space [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The paper is devoted to developing the proof of Clarkson's inequalities for periodic functions belonging to the Sobolev space. The norm of the space has not been considered earlier.
I.V. Korytov
doaj
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT While recent Anderson acceleration (AA) convergence theory [Pollock et al., IMA Num. An., 2021] requires that the AA optimization norm match the Hilbert space norm associated with the fixed point operator, in implementations the ℓ2$$ {\ell}^2 $$ norm is the most common choice. So far there is little research done regarding this discrepancy. To
Elizabeth Hawkins, Leo G. Rebholz
wiley +1 more source
On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
Optical Fiber Sensors for Safety and Maintenance Monitoring of Linear Infrastructure
Advanced Sensor Research, Volume 5, Issue 5, May 2026.This review rigorously provides a thorough and detailed overview of the most recent innovations and advancements in the field of railway and pipeline infrastructure monitoring, accomplished through the implementation of cutting‐edge fiber sensing technologies, with a specific emphasis on its two principal technical branches, namely multipoint sensing ...
Shengnan Wu +10 more
wiley +1 more source
Superextensions which are Hilbert cubes [PDF]
Periodica Mathematica Hungarica, 1979 It is shown that each separable metric, not totally disconnected, topological space admits a superextension homeomorphic to the Hilbert cube. Moreover, for simple spaces, such as the closed unit interval or then-spheresS n , we give easily described subbases for which the corresponding superextension is homeomorphic to the Hilbert cube.
J. van Mill (Jan), A. Schrijver (Lex)
openaire +2 more sources
Deep Learning Integration in Optical Microscopy: Advancements and Applications
Microscopy Research and Technique, Volume 89, Issue 5, Page 791-814, May 2026.It explores the integration of DL into optical microscopy, focusing on key applications including image classification, segmentation, and computational reconstruction. ABSTRACT Optical microscopy is a cornerstone imaging technique in biomedical research, enabling visualization of subcellular structures beyond the resolution limit of the human eye ...
Pottumarthy Venkata Lahari +5 more
wiley +1 more source
Approximation results in Hilbert cube manifolds [PDF]
Transactions of the American Mathematical Society, 1980 The purpose of this paper is to answer questions of the following type for maps f : M
openaire +1 more source