Exact analytic moments and ergodicity properties are derived for occupation times in Gaussian and fractional Brownian motions, with universal features identified via infinite ergodic theory and confirmed by simulations.
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A multiscale perturbative coarse-graining method derives effective large-scale descriptions for dry scalar active matter with motility regulation, identifying conditions for equilibrium-like regimes and capturing emergent particle currents when those conditions fail.
Derives a quantum master equation for coherent energy transfer among vibrational modes in shocked energetic materials using mean-field elimination of the phonon bath.
citing papers explorer
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Ergodic properties of functionals of Gaussian processes
Exact analytic moments and ergodicity properties are derived for occupation times in Gaussian and fractional Brownian motions, with universal features identified via infinite ergodic theory and confirmed by simulations.
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Multiscale perturbative approach to active matter with motility regulation
A multiscale perturbative coarse-graining method derives effective large-scale descriptions for dry scalar active matter with motility regulation, identifying conditions for equilibrium-like regimes and capturing emergent particle currents when those conditions fail.
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Quantum master equation approach for the multiphonon up-pumping model
Derives a quantum master equation for coherent energy transfer among vibrational modes in shocked energetic materials using mean-field elimination of the phonon bath.