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|a 9780821891476
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|a 0821891472
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|a 9781470410827
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|a QC20.7.F73
|b .P57 2013eb
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|a PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics
|d (2011 :
|c Messina, Italy)
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|a Fractal geometry and dynamical systems in pure and applied mathematics I :
|b fractals in pure mathematics /
|c David Carfi [and three others], editors.
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| 264 |
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|a Providence, Rhode Island :
|b American Mathematical Society,
|c 2013.
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|c ©2013
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| 300 |
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|a 1 online resource (410 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Contemporary Mathematics,
|x 1098-3627 ;
|v Volume 600
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| 500 |
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|a "PISRS 2011, First International Conference : Analysis, Fractal Geometry, Dynamical Systems and Economics, November 8-12, 2011, Messina, Sicily, Italy."
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| 500 |
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|a "AMS Special Session, in memory of Benoit Mandelbrot : Fractal Geometry in Pure and Applied Mathematics, January 4-7, 2012, Boston, Massachusetts."
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| 500 |
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|a "AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, Hawaii."
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| 504 |
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|a Includes bibliographical references.
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| 588 |
0 |
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|a Print version record.
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|a Preface; Separation Conditions for Iterated Function Systems with Overlaps; 1. Introduction; 2. Preliminaries; 3. The finite type condition; 4. More on the finite type condition; 5. Generalized finite type condition; 6. Weak separation condition; References; -point Configurations of Discrete Self-Similar Sets; 1. Introduction; 2. Lower bounds for -point configurations of compatible fractals; 3. Determinant fractal zeta functions; References; Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator; 1. Introduction.
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|a 4.2. Fractal strings and the (modified) Weyl-Berry conjecture.5. Quasi-Invertibility and Almost Invertibility of the Spectral Operator; 5.1. The truncated operators {̂( )}_{ } and {̂( )}_{ }.; 5.2. The spectra of _{ }{̂( )} and {̂( )}_{ }.; 5.3. Quasi-invertibility of _{ }, almost invertibility and Riemann zeroes.; 6. Spectral Reformulations of the Riemann Hypothesis and of Almost RH; 6.1. Quasi-invertibility of _{ } and spectral reformulation of RH; 6.2. Almost invertibility of _{ } and spectral reformulation of "Almost RH".
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|a 6.3. Invertibility of the spectral operator and phase transitions.7. Concluding Comments; 7.1. Extension to arithmetic zeta functions.; 7.2. Operator-valued Euler products.; 7.3. Global spectral operator.; 7.4. Towards a quantization of number theory.; 8. Appendix A:Riemann's Explicit Formula; 9. Appendix B:The Momentum Operator and Normality of _{ }; References; Analysis and Geometry of the Measurable Riemannian Structure on the Sierpiński Gasket; 1. Introduction; 2. Sierpiński gasket and its standard Dirichlet form; 3. Measurable Riemannian structure on the Sierpiński gasket.
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| 505 |
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|a 4. Geometry under the measurable Riemannian structure5. Short time asymptotics of the heat kernels; 5.1. Intricsic metrics and off-diagonal Gaussian behavior; 5.2. One-dimensional asymptotics at vertices; 5.3. On-diagonal asymptotics at almost every point; 6. Ahlfors regularity and singularity of Hausdorff measure; 7. Weyl's Laplacian eigenvalue asymptotics; 8. Connections to general theories on metric measure spaces; 8.1. Identification of Dirichlet form as Cheeger energy; 8.2. Invalidity of Ricci curvature lower bound; 9. Possible generalizations to other self-similar fractals.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Fractals
|v Congresses.
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| 650 |
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6 |
|a Fractales
|v Congrès.
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| 650 |
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7 |
|a Fractals
|2 fast
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| 655 |
|
7 |
|a Conference papers and proceedings
|2 fast
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| 700 |
1 |
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|a Carfi, David,
|d 1971-
|e editor.
|1 https://id.oclc.org/worldcat/entity/E39PCjrdcjCCGxYRT3yXJTbY4C
|
| 758 |
|
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|i has work:
|a Fractal geometry and dynamical systems in pure and applied mathematics I (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCH8VgxbVgfFtM4Prt7XCBd
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics (2011 : Messina, Italy).
|t Fractal geometry and dynamical systems in pure and applied mathematics I : fractals in pure mathematics.
|d Providence, Rhode Island : American Mathematical Society, ©2013
|h viii, 398 pages
|k Contemporary mathematics (American Mathematical Society) ; Volume 600
|x 1098-3627
|z 9780821891476
|
| 830 |
|
0 |
|a Contemporary mathematics (American Mathematical Society) ;
|v Volume 600.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113246
|z Texto completo
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| 936 |
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|a BATCHLOAD
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL3113246
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| 994 |
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|a 92
|b IZTAP
|
