The noisy oscillator: the first 100 years, from Einstein by Moshe Gitterman

By Moshe Gitterman

This e-book includes entire descriptions of stochastic methods defined by means of underdamped and overdamped oscillator equations with additive and multiplicative random forcing. The latter is linked to random frequency or random damping. The insurance comprises descriptions of assorted new phenomena found within the final hundred years because the clarification of Brownian movement by way of Einstein, Smoluchovski and Langevin, similar to the shift of strong issues, noise-enhanced balance, stochastic resonance, resonant activation, and stabilization of metastable states. as well as many purposes in physics, chemistry, biology, drugs, economics and sociology, those discoveries have clarified the deep courting among determinism and stochasticity, which seems to be complimentary instead of contradictory, with noise taking part in either positive and harmful roles.

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Adler-Brun 01]: S. L. Adler, & Todd A. Brun, “Generalized stochastic Schr¨odinger equations for state vector collapse”, J. Phys. A 34, 23, 47974809 (2001); quant-ph/0103037. 92. [Aerts 99 c]: D. Aerts, “The stuff the world is made of: Physics and reality”, in D. Aerts, J. Broekaert, & E. ), Einstein meets Magritte: An interdisciplinary reflection, Kluwer Academic, Dordrecht, Holland, 1999; quantph/0107044. 81. [Adler-Brody-Brun-Hughston 01]: S. L. Adler, D. C. Brody, T. A. Brun, & L. P. Hughston, “Martingale models for quantum state reduction”, J.

Proc. of Quantum Information: Conceptual Foundations, Developments and Perspectives (Oviedo, Spain, 2002), J. Mod. Opt. 50, 6-7, 1139-1149 (2003). 152. [Aharonov-Englert-Scully 99]: Y. -G. Englert, & M. O. Scully, “Protective measurements and Bohm trajectories”, Phys. Lett. A 263, 3, 137-146 (1999). Erratum: Phys. Lett. A 266, 2-3, 216-217 (2000). 163. [Aharonov-Popescu-Reznik-Stern 04]: Y. Aharonov, S. Popescu, B. Reznik, & A. Stern, “Classical analog to topological nonlocal quantum interference effects”, Phys.

Albanese, M. Christandl, N. Datta, & A. K. Ekert, “Mirror inversion of quantum states in linear registers”, quant-ph/0405029. 193. [Alber 99]: G. Alber, “Entanglement and the linearity of quantum mechanics”, Proc. of the 10th Int. Symp. on Theoretical Electrical Engineering, ISTET 99, Magdeburg, quant-ph/9907104. 194. [Alber-Delgado-Jex 00]: G. Alber, A. Delgado, & I. Jex, “Optimal universal two-particle entanglement processes in arbitrary dimensional Hilbert spaces”, quant-ph/0006040. 195. [Alber-Delgado-Gisin-Jex 00]: G.

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