Results 31 to 40 of about 176,620,809 (179)
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
The Algebraic Topology of Learnability: Bridging PAC Theory to Deep Network Generalization
Deep learning models have achieved remarkable success across various domains, yet a comprehensive theoretical understanding of their generalization capabilities remains an active area of research. Traditional Probably Approximately Correct (PAC) learning theory provides rigorous bounds on generalization errors but often struggles to explain the ...
Revista, Zen, MATH, 10
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Generating Helical Polymorphic Beams Using Dielectric Metasurfaces
Laser &Photonics Reviews, EarlyView.Helix‐shaped polymorphic beams are optical fields whose intensity maxima spiral around the propagation axis, enabling particle manipulation through attractive or repulsive forces. Traditionally requiring expensive spatial light modulators, metasurfaces now provide a compact, cost‐effective alternative. This work demonstrates general helical polymorphic
Maryam Setareh +3 more
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Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion
Mathematische Nachrichten, EarlyView.ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng +3 more
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Within the framework of Galois-equivariant constraint networks, this papercompletes the unification of three core problems in modular representation theory—the Alperin–McKay equality, the Alperin weight equality, and Brauer’s k(B) upper bound—at the level of information geometry.
zhou, changzheng, zhou, ziqing
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, 2019 In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets.
Iampan, Aiyared +3 more
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The Reduction Theorem for Leavitt Path Algebras of Labeled Graphs and Its Applications
Mathematische Nachrichten, EarlyView.ABSTRACT We introduce a notion of labeled cycle for normal labeled spaces and prove a reduction theorem for Leavitt path algebras associated with labeled graphs. We show that every nonzero element can be reduced, by suitable left and right multiplication, either to a nonzero scalar multiple of a projection or to a polynomial supported on a labeled ...
Daniel Gonçalves +2 more
wiley +1 more source
$\varphi $-multipliers on a class of topological algebras [PDF]
, 2017 summary:In this paper, we generalize the concept of $\varphi $-multipliers on Banach algebras to a class of topological algebras.
Naziri-Kordkandi, Ali, Mati Abel
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On Geometric Phase Model in the Theory of Curves With Myller Configuration
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
wiley +1 more source
Supervised Protein Structure Classification Using Topological Persistence With DeltaFold
Proteins: Structure, Function, and Bioinformatics, EarlyView.ABSTRACT Recent advances in protein structure prediction have considerably increased the number of available structures, underscoring the need for scalable and accurate methods to compare and classify this huge amount of data. Current approaches based on sequence alignment or structural superposition often lack sensitivity and/or are computationally ...
Joseph Nardin‐Gennequin +3 more
wiley +1 more source