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.
- Providence, Rhode Island : American Mathematical Society, [2013] �A�2013
- 1 online resource (2 volumes : illustrations)
- Contemporary mathematics, v. 600 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.
Separation Conditions for Iterated Function Systems with Overlaps / $k-$point Configurations of Discrete Self-Similar Sets / Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator / Analysis and Geometry of the Measurable Riemannian Structure on the Sierpi�nski Gasket / A Survey on Minkowski Measurability of Self-Similar and Self-Conformal Fractals in $\mathbb R^d$ / Minkowski Measurability and Exact Fractal Tube Formulas for $p$-Adic Self-Similar Strings / Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators / Multifractal Analysis via Scaling Zeta Functions and Recursive Structure of Lattice Strings / Box-Counting Fractal Strings, Zeta Functions, and Equivalent Forms of Minkowski Dimension / Hausdorff Dimension of the Limit Set of Countable Conformal Iterated Function Systems with Overlaps / Multifractal Tubes: Multifractal Zeta-Functions, Multifractal Steiner Formulas and Explicit Formulas / Laplacians on Julia Sets III: Cubic Julia Sets and Formal Matings / Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric Properties / Riemann Zeros in Arithmetic Progression / Curvature Measures of Fractal Sets / Qi-Rong Deng, Ka-Sing Lau and Sze-Man Ngai -- Driss Essouabri and Ben Lichtin -- Hafedh Herichi and Michel L. Lapidus -- Naotaka Kajino -- Sabrina Kombrink -- Michel L. Lapidus, L�u' H�ung and Machiel van Frankenhuijsen -- Michel L. Lapidus, Erin P. J. Pearse and Steffen Winter -- Rolando de Santiago, Michel L. Lapidus, Scott A. Roby and John A. Rock -- Michel L. Lapidus, John A. Rock and Darko �Zubrini�c -- Eugen Mihailescu and Mariusz Urba�nski -- Lars Olsen -- Calum Spicer, Robert S. Strichartz and Emad Totari -- Hui Rao, Huo-Jun Ruan and Yang Wang -- Machiel van Frankenhuijsen -- Martina Z�ahle -- http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11928 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11947 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11948 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11932 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11931 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11949 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11951 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11930 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11929 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11950 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11920 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11952 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11963 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11921 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11953
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9781470410827 (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.
QC20.7.F73 / P57 2011
514/.742
"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.
Separation Conditions for Iterated Function Systems with Overlaps / $k-$point Configurations of Discrete Self-Similar Sets / Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator / Analysis and Geometry of the Measurable Riemannian Structure on the Sierpi�nski Gasket / A Survey on Minkowski Measurability of Self-Similar and Self-Conformal Fractals in $\mathbb R^d$ / Minkowski Measurability and Exact Fractal Tube Formulas for $p$-Adic Self-Similar Strings / Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators / Multifractal Analysis via Scaling Zeta Functions and Recursive Structure of Lattice Strings / Box-Counting Fractal Strings, Zeta Functions, and Equivalent Forms of Minkowski Dimension / Hausdorff Dimension of the Limit Set of Countable Conformal Iterated Function Systems with Overlaps / Multifractal Tubes: Multifractal Zeta-Functions, Multifractal Steiner Formulas and Explicit Formulas / Laplacians on Julia Sets III: Cubic Julia Sets and Formal Matings / Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric Properties / Riemann Zeros in Arithmetic Progression / Curvature Measures of Fractal Sets / Qi-Rong Deng, Ka-Sing Lau and Sze-Man Ngai -- Driss Essouabri and Ben Lichtin -- Hafedh Herichi and Michel L. Lapidus -- Naotaka Kajino -- Sabrina Kombrink -- Michel L. Lapidus, L�u' H�ung and Machiel van Frankenhuijsen -- Michel L. Lapidus, Erin P. J. Pearse and Steffen Winter -- Rolando de Santiago, Michel L. Lapidus, Scott A. Roby and John A. Rock -- Michel L. Lapidus, John A. Rock and Darko �Zubrini�c -- Eugen Mihailescu and Mariusz Urba�nski -- Lars Olsen -- Calum Spicer, Robert S. Strichartz and Emad Totari -- Hui Rao, Huo-Jun Ruan and Yang Wang -- Machiel van Frankenhuijsen -- Martina Z�ahle -- http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11928 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11947 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11948 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11932 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11931 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11949 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11951 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11930 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11929 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11950 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11920 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11952 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11963 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11921 http://www.ams.org/conm/600/ http://dx.doi.org/10.1090/conm/600/11953
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9781470410827 (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.
QC20.7.F73 / P57 2011
514/.742