Results 111 to 120 of about 2,911 (216)
Persistent sheaf Laplacian analysis of protein stability and solubility changes upon mutation
Abstract Genetic mutations frequently disrupt protein structure, stability, and solubility, acting as primary drivers for a wide spectrum of diseases. Despite the critical importance of these molecular alterations, existing computational models often lack interpretability and fail to integrate essential physicochemical interactions.
Yiming Ren +4 more
wiley +1 more source
ABSTRACT Conformity of observed data with a postulated probability distribution is a fundamental problem of statistical modeling. Current tools for checking distributional conformity are often limited to univariate settings, with extensions to multivariate distributions facing challenges in interpretability and power.
Rasha Alsaadawi, Nitai D. Mukhopadhyay
wiley +1 more source
Cluster scattering diagrams via quiver moduli and tight gradings
Abstract We study rank‐2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver‐theoretic and combinatorial methods, we prove and extend a collection of conjectures posed by Elgin–Reading–Stella concerning the structural and enumerative properties ...
Amanda Burcroff +4 more
wiley +1 more source
A trace–path integral formula over function fields
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley +1 more source
Heights on ‘hybrid orbits’ in Shimura varieties
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley +1 more source
Syntomic cohomology and real topological cyclic homology
Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source
On topological algebra bundles
Summary: Topological algebra bundles whose fibre (-algebras) admit functional representations constitute a category, antiequivalent with that of (topological) fibre bundles having completely regular bundle spaces and locally compact fibres.
openaire +2 more sources
The compactness of the sum of weighted composition operators on the ball algebra
In this paper, we investigate the compactness of the sum of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra.
Tong Ce-Zhong, Zhou Ze-Hua
doaj
TOPOLOGY SPECTRUM OF A KU-ALGEBRA
–The aim of this paper is to study the Zariski topology of a commutative KU-algebra. Firstly, we introduce new concepts of a KU-algebra, such as KU-lattice, involutory ideal and prime ideal and investigate some basic properties of these concepts ...
Samy Mohammed Mostafa +3 more
doaj

