New framework links first-passage timing statistics to branching population growth via renewal equations, showing fluctuations enhance growth for fixed offspring and mean time while exposing optimization trade-offs, with bacteriophage lysis application matching empirical data.
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The Weak Penalty Neural ODE uses a weak form loss to filter noise and learn stable chaotic dynamics from noisy observations.
Null-result weak measurements are dynamically characterized for qubits and qutrits using Shannon entropy, mutual information, fidelity, and relative entropy to quantify information extraction amounts, rates, and reversibility.
A tunable mixing parameter p in random quantum circuits controls the transition from classically simulable to expressive quantum reservoir dynamics via entanglement and nonstabilizer content.
Simulations of PTA data show that a full gravitational-wave signal template achieves the highest Bayes factors and most robust parameter estimation for individual supermassive black hole binaries compared to an Earth-term template and a novel Spike Pixel cross-correlation model.
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Branching under First-Passage Resetting
New framework links first-passage timing statistics to branching population growth via renewal equations, showing fluctuations enhance growth for fixed offspring and mean time while exposing optimization trade-offs, with bacteriophage lysis application matching empirical data.
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A Weak Penalty Neural ODE for Learning Chaotic Dynamics from Noisy Time Series
The Weak Penalty Neural ODE uses a weak form loss to filter noise and learn stable chaotic dynamics from noisy observations.
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Information-Theoretic Analysis of Weak Measurements and Their Reversal
Null-result weak measurements are dynamically characterized for qubits and qutrits using Shannon entropy, mutual information, fidelity, and relative entropy to quantify information extraction amounts, rates, and reversibility.
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Optimal quantum reservoir learning in proximity to universality
A tunable mixing parameter p in random quantum circuits controls the transition from classically simulable to expressive quantum reservoir dynamics via entanglement and nonstabilizer content.
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Expectations for the first supermassive black-hole binary resolved by PTAs I: Model efficacy
Simulations of PTA data show that a full gravitational-wave signal template achieves the highest Bayes factors and most robust parameter estimation for individual supermassive black hole binaries compared to an Earth-term template and a novel Spike Pixel cross-correlation model.