Results 61 to 70 of about 48,454 (295)

On the essential spectrum of the Laplacian and the drifted Laplacian

open access: yesJournal of Functional Analysis, 2014
This paper concerns the $L^2$ essential spectrum of the Laplacian $ $ and the drift Laplacian $ _f$ on complete Riemannian manifolds endowed with a weighted measure $e^{-f}d\;vol_g$. We prove that the essential spectrum of the drift Laplacian $ _f$ is $[0,+\infty) $ provided the Bakry- mery curvature tensor $Ric_f$ is nonnegative and $f$ has ...
openaire   +3 more sources

Drug Resistance Predictions Based on a Directed Flag Transformer

open access: yesAdvanced Science, EarlyView.
 CAPTURE, a deep learning framework combining structural and sequence data to predict drug‐resistant Mpro mutations, revealing that PAXLOVID use may be accelerating resistance—supporting real‐time viral surveillance and therapeutic design. Abstract The evolving SARS‐CoV‐2 virus threatens global public health, particularly with potential resistance to ...
Dong Chen   +8 more
wiley   +1 more source

Analysis of the Laplacian of an incomplete manifold with almost polar boundary [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 2005
Motivated by recent interest in global analysis of singular manifolds, we establish the essential self-adjointness of a Laplacian, a Liouville property of subharmonic functions, conservativeness and parabolicity of an incomplete manifold.
Jun Nasmaune
doaj  

More on Spectral Analysis of Signed Networks

open access: yesComplexity, 2018
Spectral graph theory plays a key role in analyzing the structure of social (signed) networks. In this paper we continue to study some properties of (normalized) Laplacian matrix of signed networks. Sufficient and necessary conditions for the singularity
Guihai Yu, Hui Qu
doaj   +1 more source

Hierarchical Prediction and Perturbation of Chromatin Organization Reveal How Loop Domains Mediate Higher‐Order Architectures

open access: yesAdvanced Science, EarlyView.
HiCGen introduces a hierarchical deep learning framework to predict genome organization across spatial scales using DNA sequences and genomic features. The model enables cross‐cell‐type predictions and in silico perturbation analysis, revealing correlations between loop domains and higher‐order structures.
Jiachen Wei, Yue Xue, Yi Qin Gao
wiley   +1 more source

Zwitterionic Heavier Pnictinidenes in Redox Catalysis

open access: yesAngewandte Chemie, EarlyView.
Zwitterionic pnictinidenes: A new class of zwitterionic heavier pnictogen species stabilized by bis(N‐heterocyclic carbene)borate ligands is reported, enabling the isolation of Sb and Bi in multiple oxidation states. These thoroughly characterized systems exhibit cationic character and engage in redox catalysis, facilitating catalytic ...
Selwin Fernando   +7 more
wiley   +2 more sources

Signless Laplacian energy of a first KCD matrix

open access: yesActa Universitatis Sapientiae: Informatica, 2022
The concept of first KCD signless Laplacian energy is initiated in this article. Moreover, we determine first KCD signless Laplacian spectrum and first KCD signless Laplacian energy for some class of graphs and their complement.
Mirajkar Keerthi G., Morajkar Akshata
doaj   +1 more source

On distance matrices and Laplacians [PDF]

open access: yesLinear Algebra and its Applications, 2005
The distance matrix \(D\) of a graph \(G\) of order \(n\) is the \(n\times n\) matrix with zeroes on the diagonal where the entries represent distances between pairs of vertices of \(G\). The authors extend a previous result for unweighted trees of \textit{R. L. Graham} and \textit{L. Lovász} [Adv. Math. 29, 60--88 (1978; Zbl 0382.05023)] and provide a
Steve Kirkland   +2 more
openaire   +2 more sources

Radiomics‐Based Unsupervised Clustering Identifies Subtypes Associated With Prognosis and Immune Microenvironment in Clear Cell Renal Cell Carcinoma: A Multicenter Study

open access: yesAdvanced Science, EarlyView.
This study developed an unsupervised radiomics system integrating CT imaging and multi‐omics data to stratify clear cell renal cell carcinoma into two subtypes with distinct clinical outcomes. Cluster 1 showed lower recurrence risk and active immunity, while Cluster 2 exhibited higher recurrence risk, enriched VHL/KDM5C mutations, immunosuppressive ...
Yusheng Guo   +14 more
wiley   +1 more source

Bounce on a p-Laplacian [PDF]

open access: yesCommunications on Pure & Applied Analysis, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

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