Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics
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Published By American Mathematical Society

9780821891476, 9781470410827

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Minkowski Measurability and Exact Fractal Tube Formulas for 𝑝-Adic Self-Similar Strings

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11949 ◽

2013 ◽

pp. 161-184

Author(s):

Michel Lapidus ◽

Lũ’ Hùng ◽

Machiel van Frankenhuijsen

Keyword(s):

Self Similar ◽

Tube Formulas

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Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11948 ◽

2013 ◽

pp. 51-89 ◽

Cited By ~ 3

Author(s):

Hafedh Herichi ◽

Michel Lapidus

Keyword(s):

Riemann Hypothesis ◽

Spectral Operator ◽

Complex Dimensions

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Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11951 ◽

2013 ◽

pp. 185-203 ◽

Cited By ~ 5

Author(s):

Michel Lapidus ◽

Erin Pearse ◽

Steffen Winter

Keyword(s):

Self Similar

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A Survey on Minkowski Measurability of Self-Similar and Self-Conformal Fractals in ℝ^{𝕕}

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11931 ◽

2013 ◽

pp. 135-159 ◽

Cited By ~ 5

Author(s):

Sabrina Kombrink

Keyword(s):

Self Similar

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Hausdorff Dimension of the Limit Set of Countable Conformal Iterated Function Systems with Overlaps

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11950 ◽

2013 ◽

pp. 273-289

Author(s):

Eugen Mihailescu ◽

Mariusz Urbański

Keyword(s):

Hausdorff Dimension ◽

Iterated Function Systems ◽

Limit Set ◽

Iterated Function

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Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric Properties

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11963 ◽

2013 ◽

pp. 349-364 ◽

Cited By ~ 7

Author(s):

Hui Rao ◽

Huo-Jun Ruan ◽

Yang Wang

Keyword(s):

Geometric Properties ◽

Lipschitz Equivalence ◽

Self Similar

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Analysis and Geometry of the Measurable Riemannian Structure on the Sierpiński Gasket

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11932 ◽

2013 ◽

pp. 91-133 ◽

Cited By ~ 4

Author(s):

Naotaka Kajino

Keyword(s):

Sierpinski Gasket ◽

Riemannian Structure ◽

Sierpiński Gasket

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Curvature Measures of Fractal Sets

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11953 ◽

2013 ◽

pp. 381-399 ◽

Cited By ~ 2

Author(s):

Martina Zähle

Keyword(s):

Fractal Sets ◽

Curvature Measures

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Box-Counting Fractal Strings, Zeta Functions, and Equivalent Forms of Minkowski Dimension

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11929 ◽

2013 ◽

pp. 239-271 ◽

Cited By ~ 3

Author(s):

Michel Lapidus ◽

John Rock ◽

Darko Žubrinić

Keyword(s):

Zeta Functions ◽

Minkowski Dimension ◽

Fractal Strings ◽

Box Counting

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Multifractal Tubes: Multifractal Zeta-Functions, Multifractal Steiner Formulas and Explicit Formulas

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics ◽

10.1090/conm/600/11920 ◽

2013 ◽

pp. 291-326 ◽

Cited By ~ 2

Author(s):

Lars Olsen

Keyword(s):

Zeta Functions ◽

Explicit Formulas

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Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary MathematicsLatest Publications

TOTAL DOCUMENTS

H-INDEX

Published By American Mathematical Society

Minkowski Measurability and Exact Fractal Tube Formulas for 𝑝-Adic Self-Similar Strings

Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator

Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators

A Survey on Minkowski Measurability of Self-Similar and Self-Conformal Fractals in ℝ^{𝕕}

Hausdorff Dimension of the Limit Set of Countable Conformal Iterated Function Systems with Overlaps

Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric Properties

Analysis and Geometry of the Measurable Riemannian Structure on the Sierpiński Gasket

Curvature Measures of Fractal Sets

Box-Counting Fractal Strings, Zeta Functions, and Equivalent Forms of Minkowski Dimension

Multifractal Tubes: Multifractal Zeta-Functions, Multifractal Steiner Formulas and Explicit Formulas

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I - Contemporary Mathematics
Latest Publications