Deterministic macroscopic motion is a geometric attractor of contact flow arising from exact cancellation between probability-gradient amplification and contact-stiffness decay, conserving information unlike Mori-Zwanzig projections.
Arnold,Mathematical Methods of Classical Me- chanics, 2nd edn
6 Pith papers cite this work, alongside 3,265 external citations. Polarity classification is still indexing.
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Pith papers citing it
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A fully discrete strain-based model for continuum robot dynamics via Lie group variational integrators, combined with an EKF-based observer for states and disturbances, validated on hardware.
Introduces variational openness by retaining boundary terms in Hamilton's principle, recovering the Euler-Lagrange equations as the closed limit and illustrating open dynamics with oscillator examples.
Compares MH, MALA, HMC, NUTS, and AIES on differentiable likelihood emulators for ΛCDM and sterile-neutrino models, finding MALA and MH competitive in wall time despite NUTS needing fewer samples.
Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.
Parameter scans of a hand-set effective model show that adding dark matter around a rotating black hole slows the intermediate-axis flip frequency of a coherent triaxial structure relative to Kerr.
citing papers explorer
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When Certainty Emerges from Stochasticity: Hidden Attractor of Deterministic Motion
Deterministic macroscopic motion is a geometric attractor of contact flow arising from exact cancellation between probability-gradient amplification and contact-stiffness decay, conserving information unlike Mori-Zwanzig projections.
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Discrete Geometric Modeling and Extended State Estimation of Continuum Robots
A fully discrete strain-based model for continuum robot dynamics via Lie group variational integrators, combined with an EKF-based observer for states and disturbances, validated on hardware.
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Variational Openness: An Open Formulation of Hamilton's Principle
Introduces variational openness by retaining boundary terms in Hamilton's principle, recovering the Euler-Lagrange equations as the closed limit and illustrating open dynamics with oscillator examples.
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Posterior sampling in the Age of Emulators
Compares MH, MALA, HMC, NUTS, and AIES on differentiable likelihood emulators for ΛCDM and sterile-neutrino models, finding MALA and MH competitive in wall time despite NUTS needing fewer samples.
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Holographic pressure and volume for black holes
Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.
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A dark-matter-sensitive orientation clock near rotating black holes
Parameter scans of a hand-set effective model show that adding dark matter around a rotating black hole slows the intermediate-axis flip frequency of a coherent triaxial structure relative to Kerr.