Results 51 to 60 of about 5,034 (247)
Boundary unitary representations-irreducibility and rigidity
Journal of Modern Dynamics, 2011 Let $M$ be compact negatively curved manifold, $ = _1(M)$ and $\tilde{M}$ be its universal cover. Denote by $B =\partial \tilde{M}$ the geodesic boundary of $\tilde{M}$ and by $ $ the Patterson-Sullivan measure on $X$. In this note we prove that the associated unitary representation of $ $ on $L^2(B, )$ is irreducible.
Bader, Uri, Muchnik, Roman
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Advanced Intelligent Discovery, EarlyView.Combining machine learning and probabilistic statistical learning is a powerful way to discover and design new materials. A variety of machine learning approaches can be used to identify promising candidates for target applications, and causal inference can help identify potential ways to make them a reality.
Jonathan Y. C. Ting, Amanda S. Barnard
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Irreducible representations of Bost–Connes systems [PDF]
Journal of Noncommutative Geometry, 2016 The classification problem of Bost–Connes systems was studied by Cornelissen and Marcolli partially, but still remains unsolved. In this paper, we give a representation-theoretic approach to this problem. We generalize the result of Laca and Raeburn, which is concerned with the primitive ideal space of the Bost–Connes system for
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Deep Learning‐Assisted Coherent Raman Scattering Microscopy
Advanced Intelligent Discovery, EarlyView.The analytical capabilities of coherent Raman scattering microscopy are augmented through deep learning integration. This synergistic paradigm improves fundamental performance via denoising, deconvolution, and hyperspectral unmixing. Concurrently, it enhances downstream image analysis including subcellular localization, virtual staining, and clinical ...
Jianlin Liu +4 more
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Irreducible constituents of monomial representations
Journal of Symbolic Computation, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advanced Intelligent Discovery, EarlyView.This study introduces FIRE‐GNN, a force‐informed, relaxed equivariant graph neural network for predicting surface work functions and cleavage energies from slab structures. By incorporating surface‐normal symmetry breaking and machine learning interatomic potential‐derived force information, the approach achieves state‐of‐the‐art accuracy and enables ...
Circe Hsu +5 more
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On Fuzzy Ideals of BL-Algebras
The Scientific World Journal, 2014 In this paper we investigate further properties of fuzzy ideals of a BL-algebra. The notions of fuzzy prime ideals, fuzzy irreducible ideals, and fuzzy Gödel ideals of a BL-algebra are introduced and their several properties are investigated.
Biao Long Meng, Xiao Long Xin
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Connections with Irreducible Holonomy Representations
Advances in Mathematics, 2001 A subgroup of a linear group is called a Berger group if it satisfies all algebraic conditions for being the holonomy group of a torsion free affine connection. These conditions were introduced by Berger who also produced the list of such groups. Famous problems of differential geometry were to establish which groups from this list are realized by the ...
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Predicting Performance of Hall Effect Ion Source Using Machine Learning
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This study introduces HallNN, a machine learning tool for predicting Hall effect ion source performance using a neural network ensemble trained on data generated from numerical simulations. HallNN provides faster and more accurate predictions than numerical methods and traditional scaling laws, making it valuable for designing and optimizing Hall ...
Jaehong Park +8 more
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Forum of Mathematics, Sigma, 2014 We prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on $\mathrm{GL}_n$ .
JACK A. THORNE
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