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Spectral Analysis of Deterministic Process
2017This chapter analyzes a deterministic process in the frequency domain via Fourier series (for period process) and Fourier Transform (for non-period process). Estimators based on a sample time history of the process are introduced and their possible distortions arising from finite sampling rate (aliasing) and duration (leakage) are discussed.
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Stochastic processes from deterministic dynamics
2008We deal with classes of smooth deterministic mappings that generate Brownian motion and Langevin processes in an appropriate scaling limit. We investigate the non-Gaussian corrections that occur if the scaling limit is not completely performed. We deal with higher-order correlation functions, and describe how to calculate probability densities in a ...
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Deterministic Chaos versus Stochastic Processes [PDF]
, 1998 The classical theory about foreign exchange rate explains its fluctuations as the resulting of a random walk motion. In this paper, such a theory is put into question by performing Brock, Dechert and Scheinkman's (1987) test on the Austrian Schilling - US Dollars exchange rate for the period 1971-1998, giving us strong evidence of nonlinearities in its
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Embracing Heterogeneity: Challenging the Paradigm of Replisomes as Deterministic Machines
Chemical Reviews, 2023Antoine M Van Oijen +1 more
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Mechanisms of nuclear reprogramming by eggs and oocytes: a deterministic process?
Nature Reviews Molecular Cell Biology, 2011Jérôme Jullien +2 more
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Stochastic and deterministic assembly processes in subsurface microbial communities
ISME Journal, 2012James C Stegen
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