In stochastic systems with non-diagonal noise and switching environments, mutual information includes irreducible static and dynamic interference terms that prevent simple decomposition.
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Noise-driven switching between expression basins in frustrated genes, locked by slow epigenetic feedback, produces robust input-dependent differentiation with logarithmic time dependence on noise strength.
The Euler-Maruyama method is extended to non-Wiener Lévy processes for additive and multiplicative noise, yielding an example with superior physical results over geometric Brownian motion and equivalence to a master equation via Kramers-Moyal expansion.
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Emergence of information interference in stochastic systems with non-diagonal noise and switching environments
In stochastic systems with non-diagonal noise and switching environments, mutual information includes irreducible static and dynamic interference terms that prevent simple decomposition.
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Noise-Driven Differentiation via Gene Frustration and Epigenetic Fixation
Noise-driven switching between expression basins in frustrated genes, locked by slow epigenetic feedback, produces robust input-dependent differentiation with logarithmic time dependence on noise strength.
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Euler-Maruyama method for non-Wiener processes
The Euler-Maruyama method is extended to non-Wiener Lévy processes for additive and multiplicative noise, yielding an example with superior physical results over geometric Brownian motion and equivalence to a master equation via Kramers-Moyal expansion.