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Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.
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, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Semi-topological K-theory using function complexes☆

, 2002
E. Friedlander, M. Walker
semanticscholar   +1 more source

The Category of Anyon Sectors for Non-Abelian Quantum Double Models. [PDF]

Commun Math Phys
Bols A, Hamdan M, Naaijkens P, Vadnerkar S.   +3 more
europepmc   +1 more source

Curving the space by non-Hermiticity. [PDF]

Nat Commun, 2022
Lv C, Zhang R, Zhai Z, Zhou Q.
europepmc   +1 more source

Persistent sheaf Laplacian analysis of protein stability and solubility changes upon mutation

Protein Science, Volume 35, Issue 8, August 2026.
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, Junjie Wee, Xi Chen, Grace Qian, Guo‐Wei Wei   +4 more
wiley   +1 more source

On Quantum Relations. [PDF]

Entropy (Basel)
Dubois F, Toffano Z.
europepmc   +1 more source

Simple and complex cells revisited: toward a selectivity-invariance model of object recognition. [PDF]

Front Comput Neurosci, 2023
Li X, Wang S.
europepmc   +1 more source

Diagnosing Cryospheric Runoff Dynamics: A Distributed Differentiable Hydrological Model With Global Transfer Learning

Water Resources Research, Volume 62, Issue 8, August 2026.
Abstract Accurate hydrological prediction in alpine regions remains challenging due to complex cryospheric processes and limited observational records. Traditional hydrological models are often subject to structural uncertainty, whereas purely data‐driven deep learning (DL) models may lack physical interpretability under non‐stationary climate ...
Jun Mei, Bin Yong, Gerald Corzo, Yang Hong, Ruochen Sun, Xin Tao, Jiahu Wang, Qingyun Duan   +7 more
wiley   +1 more source

A Sharp Deconfinement Transition for Potts Lattice Gauge Theory in Codimension Two. [PDF]

Commun Math Phys
Duncan P, Schweinhart B.
europepmc   +1 more source

Inferring alternative ecosystem states with field survey data

Methods in Ecology and Evolution, Volume 17, Issue 8, Page 2256-2276, August 2026.
Abstract Many ecosystems potentially exhibit alternative stable states, where distinct states can coexist under identical environmental conditions. While simulation models have generated key hypotheses in alternative stable states theory, they often rely on scale‐free parameters disconnected from real ecosystems.
Ning Chen, Xiaoxue Dong, Xinwei Li, Lei Huang, Heng Huang, Changjia Li, Yanchuang Zhao, Chi Xu, Miaojun Ma, Zak Ratajczak, Changming Zhao   +10 more
wiley   +1 more source