Fractals in applied mathematics
著者
書誌事項
Fractals in applied mathematics
（Contemporary mathematics, 601 . Fractal geometry and dynamical systems in pure and applied mathematics ; 2）
American Mathematical Society, c2013
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注記
"PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, November 2011: Messina, Sicily, Italy."
"AMS Special Session on Fractal Geometry in Pure and Applied Mathematics: in Memory of Benoît Mandelbrot, January 2012: Boston, Massachusetts."
"AMS Special Session on Geometry and Analysis on Fractal Spaces, March 2012: Honolulu, Hawaii."
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology. economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.
目次
Statistical mechanics and quantum fields on fractals by E. Akkermans Spectral algebra of the Chernov and Bogoslovsky Finsler metric tensors by V. Balan Local multifractal analysis by J. Barral, A. Durand, S. Jaffard, and S. Seuret Extreme risk and fractal regularity in finance by L. E. Calvet and A. J. Fisher An algorithm for dynamical games with fractal-like trajectories by D. Carfi and A. Ricciardello The landscape of Anderson localization in a disordered medium by M. Filoche and S. Mayboroda Zeta functions for infinite graphs and functional equations by D. Guido and T. Isola Vector analysis on fractals and applications by M. Hinz and A. Teplyaev Non-regularly varying and nonperiodic oscillation of the on-diagonal heat kernels on self-similar fractals by N. Kajino Lattice effects in the scaling limit of the two-dimensional self-avoiding walk by T. Kennedy and G. F. Lawler The Casimir effect on Laakso spaces by R. Kesler and B. Steinhurst The decimation method for Laplacians on fractals: Spectra and complex dynamics by N. Lal and M. L. Lapidus The current state of fractal billiards by M. L. Lapidus and R. G. Niemeyer Long-range dependence and the rank of decompositions by C. Levy-Leduc and M. S. Taqqu Hitting probabilities of the random covering sets by B. Li, N.-R. Shieh, and Y. Xiao Fractal oscillations near domain boundary of radially symmetric solutions of $p$-Laplace equations by Y. Naito, M. Pasic, S. Tanaka, and D. Zubrinic Applications of the contraction mapping principle by J. R. Quinn Economics and psychology. Perfect rationality versus bounded rationality by D. Schiliro
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