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Fractal geometry and dynamical systems in pure and applied mathematics II : fractals in applied mathematics /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics Messina, Italy
Otros Autores: Carfi, David, 1971- (Editor )
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2013.
Colección:Contemporary mathematics (American Mathematical Society) ; Volume 601.
Temas:
Acceso en línea:Texto completo

MARC

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111 2 |a PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics  |d (2011 :  |c Messina, Italy) 
245 1 0 |a Fractal geometry and dynamical systems in pure and applied mathematics II :  |b fractals in applied mathematics /  |c David Carfi [and three others], editors. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2013. 
264 4 |c ©2013 
300 |a 1 online resource (384 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Contemporary Mathematics,  |x 1098-3627 ;  |v Volume 601 
500 |a "PISRS 2011, First International Conference : Analysis, Fractal Geometry, Dynamical Systems and Economics, November 8-12, 2011, Messina, Sicily, Italy." 
500 |a "AMS Special Session, in memory of Benoit Mandelbrot : Fractal Geometry in Pure and Applied Mathematics, January 4-7, 2012, Boston, Massachusetts." 
500 |a "AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, Hawaii." 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |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. 
505 8 |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. 
505 8 |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. 
505 8 |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. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Fractals  |v Congresses. 
650 6 |a Fractales  |v Congrès. 
650 7 |a Fractals  |2 fast 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Carfi, David,  |d 1971-  |e editor. 
758 |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 
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 
830 0 |a Contemporary mathematics (American Mathematical Society) ;  |v Volume 601. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113271  |z Texto completo 
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