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Record Nr. |
UNINA9910480591203321 |
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Titolo |
Fractal geometry and dynamical systems in pure and applied mathematics I : fractals in pure mathematics / / David Carfi [and three others], editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (410 p.) |
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Collana |
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Contemporary Mathematics, , 1098-3627 ; ; Volume 600 |
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Disciplina |
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Soggetti |
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Fractals |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"PISRS 2011, First International Conference : Analysis, Fractal Geometry, Dynamical Systems and Economics, November 8-12, 2011, Messina, Sicily, Italy." |
"AMS Special Session, in memory of Benoit Mandelbrot : Fractal Geometry in Pure and Applied Mathematics, January 4-7, 2012, Boston, Massachusetts." |
"AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, Hawaii." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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""; ""2. Generalized Fractal Strings and Their Complex Dimensions""; ""2.1. The geometry and spectra of ordinary fractal strings.""; ""2.2. Generalized fractal strings and their explicit formulas.""; ""3. The Spectral Operator _{ } and the Infinitesimal Shifts â??_{ }""; ""3.1. A â€?heuristicâ€? definition of _{ |
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}.""; ""3.2. The weighted Hilbert space â??_{ }.""; ""3.3. The infinitesimal shifts â??_{ } and their properties.""; ""3.4. The spectral operator _{ }."" |
""4. Inverse and Direct Spectral Problems for Fractal Strings""""4.1. The original inverse spectral problem.""; ""4.2. Fractal strings and the (modified) Weylâ€?Berry conjecture.""; ""5. Quasi-Invertibility and Almost Invertibility of the Spectral Operator""; ""5.1. The truncated operators â??^{( )}_{ } and ^{( )}_{ }.""; ""5.2. The spectra of â??_{ }^{( )} 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 RHâ€?.""; ""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:Riemannâ€?s Explicit Formula""; ""9. Appendix B:The Momentum Operator and Normality of â??_{ }""; ""References"" |
""Analysis and Geometry of the Measurable Riemannian Structure on the SierpiÅ?ski Gasket""""1. Introduction""; ""2. SierpiÅ?ski gasket and its standard Dirichlet form""; ""3. Measurable Riemannian structure on the SierpiÅ?ski gasket""; ""4. Geometry under the measurable Riemannian structure""; ""5. 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"" |
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2. |
Record Nr. |
UNINA9910715985403321 |
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Titolo |
Message from the President of the United States, returning, without his approval, "An Act for the Relief of J. Milton Best." June 1, 1872. -- Read, referred to the Committee on Claims, and ordered to be printed |
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Pubbl/distr/stampa |
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[Washington, D.C.] : , : [U.S. Government Printing Office], , 1872 |
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Descrizione fisica |
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1 online resource (2 pages) |
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Collana |
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Senate executive document / 42nd Congress, 2nd session. Senate ; ; no. 85 |
[United States congressional serial set] ; ; [serial no. 1479] |
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Altri autori (Persone) |
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GrantUlysses S <1822-1885.> (Ulysses Simpson) |
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Soggetti |
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Malicious mischief |
Vandalism |
Government liability |
Military orders |
Veto |
War damage compensation |
Legislative materials. |
United States History Civil War, 1861-1865 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Batch processed record: Metadata reviewed, not verified. Some fields updated by batch processes. |
FDLP item number not assigned. |
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