Factorizations in Hecke algebras I: Long‐cycle factorizations and Jucys–Murphy elements
Abstract Given a permutation, there is a well‐developed literature studying the number of ways one can factor it into a product of other permutations subject to certain conditions. We initiate the analogous theory for the type‐A$A$ Iwahori–Hecke algebra by generalizing the notion of factorization in terms of the Jucys–Murphy elements.
Jose Bastidas +5 more
wiley +1 more source
Abstract Accurate quantification of hazardous material releases in cities is critical for emergency managers aiming to mitigate health impacts and mortality in the population. Here, a study on the development and evaluation of a high‐resolution (1‐km, 1‐hr) urban‐scale atmospheric inverse modeling system for the Washington, DC, and Baltimore, MD ...
Miguel Cahuich‐López +18 more
wiley +1 more source
Chordless cycle filtrations for dimensionality detection in complex networks via topological data analysis. [PDF]
Ferrà Marcús A +4 more
europepmc +1 more source
Radiographic Angle-Based Machine Learning Models for the Diagnosis of Pes Planus and Pes Cavus: A Large-Scale Study Using Weight-Bearing Lateral Foot Radiographs. [PDF]
Taşdemir R +6 more
europepmc +1 more source
Optimal hyperdimensional representation for learning and cognitive computation. [PDF]
Poduval PP +7 more
europepmc +1 more source
Algebraic methods and computational strategies for pseudoinverse-based MR image reconstruction (Pinv-Recon). [PDF]
Yeung K +11 more
europepmc +1 more source
Categorical framework for quantum-resistant zero-trust AI security. [PDF]
Cherkaoui I, Clarke C, Horgan J, Dey I.
europepmc +1 more source
Network geometry, topology, and spectral analysis in global stock markets: Insights from using the Ricci curvature, Euler characteristic, and random matrix theory. [PDF]
Domínguez-Monterroza A +2 more
europepmc +1 more source
A novel cryptographic framework and mathematical modeling for secure transmission of Parkinson's disease data using RSA and block-based secret sharing. [PDF]
Sambandham T +5 more
europepmc +1 more source
Cognitive-Mathematics Relations: A Meta-Analysis of Norm-Referenced Standardized Test Batteries. [PDF]
Niileksela CR +5 more
europepmc +1 more source

