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|a COO
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|d OCLCO
|d EBLCP
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|d OCLCQ
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|a 9780821891483
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|a 0821891480
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|a 9781470410834
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|a 1470410834
|q (e-book)
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|a (OCoLC)865456371
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|a QC20.7.F73
|b .P57 2013eb
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|a HCDD
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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 II :
|b fractals in applied mathematics /
|c David Carfi [and three others], editors.
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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 (384 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
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|a Contemporary Mathematics,
|x 1098-3627 ;
|v Volume 601
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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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|a Includes bibliographical references.
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|a Print version record.
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|a Preface; Statistical Mechanics and Quantum Fields on Fractals; 1. Introduction; 2. Discrete scaling symmetry -- Self similarity -- Definitions; 3. Heat kernel and spectral functions -- Generalities; 4. Laplacian on fractals -- Heat kernel and spectral zeta function; 5. Thermodynamics on photons : The fractal blackbody [34]; 6. Conclusion and some open questions; Acknowledgments; References; Spectral Algebra of the Chernov and Bogoslovsky Finsler Metric Tensors; Preliminaries; 1. Spectral theory prerequisites; 2. Spectral results for low dimensions; 3. Conclusions; References.
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| 505 |
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|a Local Multifractal Analysis1. Introduction; 2. Properties of the local Hausdorff dimension and the local multifractal spectrum; 3. A local multifractal formalism for a dyadic family; 4. Measures with varying local spectrum; 5. Local spectrum of stochastic processes; 6. Other regularity exponents characterized by dyadic families; 7. A functional analysis point of view; Acknowledgement; References; Extreme Risk and Fractal Regularity in Finance; 1. Introduction; 2. Fractal Regularities in Financial Markets; 3. The Markov-Switching Multifractal (MSM); 4. Pricing Multifractal Risk; 5. Conclusion.
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|a 2. Functional equations for infinite graphsReferences; Vector Analysis on Fractals and Applications; 1. Introduction; 2. Dirichlet forms and energy measures; 3. 1-forms and vector fields; 4. Scalar PDE involving first order terms; 5. Navier-Stokes equations; 6. Magnetic Schrödinger equations; References; Non-Regularly Varying and Non-Periodic Oscillation of the On-Diagonal Heat Kernels on Self-Similar Fractals; 1. Introduction; 2. Framework and main results; 3. Proof of Theorems 2.17 and 2.18; 4. Post-critically finite self-similar fractals.
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|a 4.1. Harmonic structures and resulting self-similar Dirichlet spaces4.2. Cases with good symmetry and affine nested fractals; 4.3. Cases possibly without good symmetry; 5. Sierpiński carpets; References; Lattice Effects in the Scaling Limit of the Two-Dimensional Self-Avoiding Walk; 1. Introduction; 2. Lattice effects; 3. Simulations; 4. Conclusions and future work; References; The Casimir Effect on Laakso Spaces; 1. Introduction; 2. Laakso spaces; 3. Spectral Zeta Functions; 4. Casimir Effect; 5. Finite Approximations to Laakso Spaces; 6. Casimir Effect on L; 7. A Higher Dimensional Case.
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| 650 |
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|a Fractals
|v Congresses.
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| 650 |
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|a Fractals
|2 fast
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| 655 |
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|a Conference papers and proceedings
|2 fast
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| 700 |
1 |
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|a Carfi, David,
|d 1971-
|e editor.
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| 758 |
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|i has work:
|a Fractal geometry and dynamical systems in pure and applied mathematics (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG77trTfRgtptqjpVJDGtq
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 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 II : fractals in applied mathematics.
|d Providence, Rhode Island : American Mathematical Society, ©2013
|h viii, 372 pages
|k Contemporary mathematics (American Mathematical Society) ; Volume 601
|x 1098-3627
|z 9780821891483
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| 830 |
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0 |
|a Contemporary mathematics (American Mathematical Society) ;
|v Volume 601.
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| 856 |
4 |
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|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3113271
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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