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KLT of the \( {B^2}(t^{2H})\) time-rescaled square Brownian motion

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Abstract

Just as Chapter 23 showed the application of the general results obtained in Chapter 22 to the particular time-rescaled stochastic process \( {B}(t^{2H})\), the present appendix investigates the application of the general results obtained in Chapter 24 about the square time-rescaled process B2(...) to the particular process \( {B^2}(t^{2H})\).

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References

  1. C. Maccone, “Eigenfunctions and Energy for Time-Rescaled Gaussian Processes,” Bollettino dell’Unione Matematica Italiana, Series 6, 3-A (1984), 213–219.

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  2. C. Maccone, “Special Relativity and the Karhunen–Loève Expansion of Brownian Motion,” Il Nuovo Cimento, 100-B (1987), 329–341.

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  3. C. Maccone, “The Karhunen–Loève Expansion of the Square of a Time-Rescaled Gaussian Process,” Bollettino dell’Unione Matematica Italiana, Series 7, 2-A (1988), 221–229.

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  4. A. Erdelyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953.

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  5. B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco, 1982.

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Correspondence to Claudio Maccone .

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© 2012 Springer-Verlag Berlin Heidelberg

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Maccone, C. (2012). KLT of the \( {B^2}(t^{2H})\) time-rescaled square Brownian motion. In: Mathematical SETI. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27437-4_25

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  • DOI: https://doi.org/10.1007/978-3-642-27437-4_25

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27436-7

  • Online ISBN: 978-3-642-27437-4

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