Fractal geometry and dynamical systems in pure and applied mathematics / [electronic resource]
David Carfi, Michel L. Lapidus, Erin P.J. Pearse, Machiel van Frankenhuijsen, editors.
- 1 online resource (2 volumes : illustrations)
- Contemporary mathematics, v. 601 0271-4132 (print); 1098-3627 (online); .
"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, MA." "AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, HI."
Includes bibliographical references.
Statistical Mechanics and Quantum Fields on Fractals / Spectral Algebra of the Chernov and Bogoslovsky Finsler Metric Tensors / Local Multifractal Analysis / Extreme Risk and Fractal Regularity in Finance / An Algorithm for Dynamical Games with Fractal-Like Trajectories / The Landscape of Anderson Localization in a Disordered Medium / Zeta Functions for Infinite Graphs and Functional Equations / Vector Analysis on Fractals and Applications / Non-Regularly Varying and Non-Periodic Oscillation of the On-Diagonal Heat Kernels on Self-Similar Fractals / Lattice Effects in the Scaling Limit of the Two-Dimensional Self-Avoiding Walk / The Casimir Effect on Laakso Spaces / The Decimation Method for Laplacians on Fractals: Spectra and Complex Dynamics / The Current State of Fractal Billiards / Long-Range Dependence and the Rank of Decompositions / Hitting Probabilities of the Random Covering Sets / Fractal Oscillations Near the Domain Boundary of Radially Symmetric Solutions of $p$-Laplace Equations / Applications of the Contraction Mapping Principle / Economics and Psychology. Perfect Rationality versus Bounded Rationality / Eric Akkermans -- Vladimir Balan -- Julien Barral, Arnaud Durand, St�ephane Jaffard and St�ephane Seuret -- Laurent E. Calvet and Adlai J. Fisher -- David Carf�i and Angela Ricciardello -- Marcel Filoche and Svitlana Mayboroda -- Daniele Guido and Tommaso Isola -- Michael Hinz and Alexander Teplyaev -- Naotaka Kajino -- Tom Kennedy and Gregory F. Lawler -- Robert Kesler and Benjamin Steinhurst -- Nishu Lal and Michel L. Lapidus -- Michel L. Lapidus and Robert G. Niemeyer -- C�eline L�evy-Leduc and Murad S. Taqqu -- Bing Li, Narn-Rueih Shieh and Yimin Xiao -- Y�uki Naito, Mervan Pa�si�c, Satoshi Tanaka and Darko �Zubrini�c -- John R. Quinn -- Daniele Schilir�o -- http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11962 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11943 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11919 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11933 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11961 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11916 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11914 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11960 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11935 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11958 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11954 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11959 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11956 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11915 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11934 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11912 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11957 http://www.ams.org/conm/601/ http://dx.doi.org/10.1090/conm/601/11955
Access is restricted to licensed institutions
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2013
Mode of access : World Wide Web
9781470410834 (online)
Fractals--Congresses. Measure and integration -- Classical measure theory -- Contents, measures, outer measures, capacities. Measure and integration -- Classical measure theory -- Hausdorff and packing measures. Measure and integration -- Classical measure theory -- Fractals. Number theory -- Zeta and $L$-functions: analytic theory -- Nonreal zeros of $\zeta (s)$ and $L(s, \chi)$; Riemann and other hypotheses. Number theory -- Zeta and $L$-functions: analytic theory -- Other Dirichlet series and zeta functions. Dynamical systems and ergodic theory -- Ergodic theory -- Relations with number theory and harmonic analysis. Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Dimension theory of dynamical systems. Dynamical systems and ergodic theory -- Complex dynamical systems -- Polynomials; rational maps; entire and meromorphic functions. Global analysis, analysis on manifolds -- Infinite-dimensional manifolds -- Riemannian, Finsler and other geometric structures. Global analysis, analysis on manifolds -- Calculus on manifolds; nonlinear operators -- Spectral theory; eigenvalue problems.