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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.

By: PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics (2011 : Messina, Italy)Contributor(s): Carfi, David, 1971- | Lapidus, Michel L. (Michel Laurent), 1956- | Pearse, Erin P. J, 1975- | Van Frankenhuysen, Machiel, 1967- | Mandelbrot, Benoit BMaterial type: Text

TextSeries: Contemporary mathematics ; v. 600Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Copyright date: �A�2013Description: 1 online resource (2 volumes : illustrations)Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470410827 (online)Subject(s): 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 problemsAdditional physical formats: Fractal geometry and dynamical systems in pure and applied mathematics /DDC classification: 514/.742 LOC classification: QC20.7.F73 | P57 2011Other classification: 28A12 | 28A78 | 28A80 | 11M26 | 11M41 | 37A45 | 37C45 | 37F10 | 58B20 | 58C40 Online resources: Contents | Contents

Contents:

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

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
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"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 / Qi-Rong Deng, Ka-Sing Lau and Sze-Man Ngai -- $k-$point Configurations of Discrete Self-Similar Sets / Driss Essouabri and Ben Lichtin -- Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator / Hafedh Herichi and Michel L. Lapidus -- Analysis and Geometry of the Measurable Riemannian Structure on the Sierpi�nski Gasket / Naotaka Kajino -- A Survey on Minkowski Measurability of Self-Similar and Self-Conformal Fractals in $\mathbb R^d$ / Sabrina Kombrink -- Minkowski Measurability and Exact Fractal Tube Formulas for $p$-Adic Self-Similar Strings / Michel L. Lapidus, L�u' H�ung and Machiel van Frankenhuijsen -- Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators / Michel L. Lapidus, Erin P. J. Pearse and Steffen Winter -- Multifractal Analysis via Scaling Zeta Functions and Recursive Structure of Lattice Strings / Rolando de Santiago, Michel L. Lapidus, Scott A. Roby and John A. Rock -- Box-Counting Fractal Strings, Zeta Functions, and Equivalent Forms of Minkowski Dimension / Michel L. Lapidus, John A. Rock and Darko �Zubrini�c -- Hausdorff Dimension of the Limit Set of Countable Conformal Iterated Function Systems with Overlaps / Eugen Mihailescu and Mariusz Urba�nski -- Multifractal Tubes: Multifractal Zeta-Functions, Multifractal Steiner Formulas and Explicit Formulas / Lars Olsen -- Laplacians on Julia Sets III: Cubic Julia Sets and Formal Matings / Calum Spicer, Robert S. Strichartz and Emad Totari -- Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric Properties / Hui Rao, Huo-Jun Ruan and Yang Wang -- Riemann Zeros in Arithmetic Progression / Machiel van Frankenhuijsen -- Curvature Measures of Fractal Sets / Martina Z�ahle --