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Stability and critical dimension for Kirchhoff systems in closed manifolds
Advanced Nonlinear StudiesThe Kirchhoff equation was proposed in 1883 by Kirchhoff [Vorlesungen über Mechanik, Leipzig, Teubner, 1883] as an extension of the classical D’Alembert’s wave equation for the vibration of elastic strings. Almost one century later, Jacques Louis Lions [“
Hebey Emmanuel
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The Holomorphic Architecture: Rotation as Computation --- A Generative AI Foundational Framework
Abstract Contemporary AI processes "rotation" while believing it is processing "points." This cognitive blind spot is not an engineering oversight, but an inevitable consequence of axiomatic limitations: real-number parameter spaces, the separation of ...
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Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems. [PDF]
J Nonlinear Sci, 2023 Burby JW, Hirvijoki E, Leok M.
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The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Arch Ration Mech Anal, 2023 Holzegel G, Shao A.
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Stringy Corrections to Heterotic SU(3)-Geometry. [PDF]
Commun Math PhysMcOrist J, Picard S.
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Current progress toward isogeometric modeling of the heart biophysics. [PDF]
Biophys Rev (Melville), 2023 Torre M +3 more
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Emergence of Calabi-Yau manifolds in high-precision black-hole scattering. [PDF]
NatureDriesse M +7 more
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Solvable models of quantum black holes: a review on Jackiw-Teitelboim gravity. [PDF]
Living Rev Relativ, 2023 Mertens TG, Turiaci GJ.
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On Hodge polynomials for nonalgebraic complex manifolds. [PDF]
Proc Natl Acad Sci U S AKatzarkov L +3 more
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