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Homogeneous Fractal Spaces

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 25))

Abstract

Diffusion processes on special classes of fractal sets, and related self-adjoint generators, have been studied in recent years by several authors, both by probabilistic and analytic methods. In particular, for the so-called Sierpinski gasket the construction of the “Brownian motion” and “Laplace” operator has been done by [Kul], [BP], [Ki], [FS].

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References

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© 1996 Birkhäuser Verlag Basel/Switzerland

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Mosco, U., Notarantonio, L. (1996). Homogeneous Fractal Spaces. In: Serapioni, R., Tomarelli, F. (eds) Variational Methods for Discontinuous Structures. Progress in Nonlinear Differential Equations and Their Applications, vol 25. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9244-5_15

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  • DOI: https://doi.org/10.1007/978-3-0348-9244-5_15

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9959-8

  • Online ISBN: 978-3-0348-9244-5

  • eBook Packages: Springer Book Archive

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