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" Fractal geometry, complex dimensions and zeta functions : "
Michel L. Lapidus, Machiel van Frankenhuijsen
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BL
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| Record Number
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644027
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| Doc. No
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dltt
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| Main Entry
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Lapidus, Michel L., (Michel Laurent),1956-
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| Title & Author
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Fractal geometry, complex dimensions and zeta functions : : geometry and spectra of fractal strings /\ Michel L. Lapidus, Machiel van Frankenhuijsen
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| Edition Statement
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Second edition
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| Series Statement
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Springer monographs in mathematics
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| Page. NO
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xxv, 567 pages :: illustrations ;; 25 cm
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| ISBN
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1461421756
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: 9781461421757
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| Bibliographies/Indexes
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Includes bibliographical references (pages 515-547) and index
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| Contents
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1. Complex dimensions of ordinary fractal strings -- 2. Complex dimensions of self-similar fractal strings -- 3. Complex dimensions of nonlattice self-similar strings -- 4. Generalized fractal strings viewed as measures -- 5. Explicit formulas for generalized fractal strings -- 6. The geometry and the spectrum of fractal strings -- 7. Periodic orbits of self-similar flows -- 8. Fractal tube formulas -- 9. Riemann hypothesis and inverse spectral problems -- 10. Generalized cantor strings and their oscillations -- 11. Critical zeros of zeta functions -- 12. Fractality and complex dimensions -- 13. New results and perspectives -- A. Zeta functions in number theory -- B. Zeta functions of Laplacians and spectral asymptotics -- C. An applicaiton of Nevanlina theory
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| Subject
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Fractals
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Functions, Zeta
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Geometry, Riemannian
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| LC Classification
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QA614.86.L37 2013
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| Added Entry
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Van Frankenhuysen, Machiel,1967-
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