John A. Rock

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All published works

Action	Title	Year	Authors
+	A survey of complex dimensions, measurability, and the lattice/nonlattice dichotomy	2017	Robert Giza R. Morales John A. Rock Christina Knox Kristin M. Kurianski
+ PDF Chat	A survey of complex dimensions, measurability, and the lattice/nonlattice dichotomy	2017	Kristin Dettmers Robert Giza R. Morales John A. Rock Christina Knox
+	A Lecture on Integration by Parts	2016	John A. Rock
+	A survey of complex dimensions, measurability, and the lattice/nonlattice dichotomy	2015	Kristin Dettmers Robert Giza Christina Knox R. Morales John A. Rock
+ PDF Chat	Partition zeta functions, multifractal spectra, and tapestries of complex dimensions	2015	Kate E. Ellis Michel L. Lapidus Michael C. Mackenzie John A. Rock
+	A survey of complex dimensions, measurability, and the lattice/nonlattice dichotomy	2015	Kristin Dettmers Robert Giza Christina Knox R. Morales John A. Rock
+ PDF Chat	Box-Counting Fractal Strings, Zeta Functions, and Equivalent Forms of Minkowski Dimension	2013	Michel L. Lapidus John A. Rock Darko Žubrinić
+ PDF Chat	Multifractal Analysis via Scaling Zeta Functions and Recursive Structure of Lattice Strings	2013	Rolando de Santiago Michel L. Lapidus Scott Alan Roby John A. Rock
+ PDF Chat	Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension	2013	Michel L. Lapidus John A. Rock Darko Žubrinić
+	Multifractal analysis via scaling zeta functions and recursive structure of lattice strings	2012	Rolando de Santiago Michel L. Lapidus Scott Alan Roby John A. Rock
+	Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension	2012	Michel L. Lapidus John A. Rock Darko Žubrinić
+	Partition zeta functions, multifractal spectra, and tapestries of complex dimensions	2010	Kate E. Ellis Michel L. Lapidus Michael C. Mackenzie John A. Rock
+	Partition zeta functions, multifractal spectra, and tapestries of complex dimensions	2010	Kate E. Ellis Michel L. Lapidus Michael C. Mackenzie John A. Rock
+	Towards zeta functions and complex dimensions of multifractals	2009	Michel L. Lapidus John A. Rock
+ PDF Chat	Fractal Strings and Multifractal Zeta Functions	2009	Michel L. Lapidus Jacques Lévy Véhel John A. Rock
+	and Spectra of Complex Dimensions	2009	John A. Rock
+	Toward zeta functions and complex dimensions of multifractals	2008	Michel L. Lapidus John A. Rock
+	Fractal Strings and Multifractal Zeta Functions	2006	Michel L. Lapidus Jacques Lévy Véhel John A. Rock
+	Fractal Strings and Multifractal Zeta Functions	2006	Michel L. Lapidus Jacques Lévy Véhel John A. Rock

Common Coauthors

Coauthor	Papers Together
Michel L. Lapidus	13
Christina Knox	4
Robert Giza	4
R. Morales	4
Michael C. Mackenzie	3
Kristin Dettmers	3
Kate E. Ellis	3
Jacques Lévy Véhel	3
Darko Žubrinić	3
Rolando de Santiago	2
Scott Alan Roby	2
Kristin M. Kurianski	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure	1954	A. S. Besicovitch S. J. Taylor	9
+ PDF Chat	The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums	1993	Michel L. Lapidus Carl Pomerance	9
+	Spectral and Fractal Geometry: From the Weyl-Berry Conjecture for the Vibrations of Fractal Drums to the Riemann Zeta-Function	1992	Michel L. Lapidus	8
+	Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators	2011	Michel L. Lapidus Erin P. J. Pearse Steffen Winter	7
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer	7
+ PDF Chat	Fractal geometry, complex dimensions and zeta functions: geometry and spectra of fractal strings	2007	Michel L. Lapidus Machiel van Frankenhuijsen	7
+ PDF Chat	Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture	1991	Michel L. Lapidus	7
+ PDF Chat	Random fractal strings: Their zeta functions, complex dimensions and spectral asymptotics	2005	Ben Hambly Michel L. Lapidus	6
+ PDF Chat	Oscillation spaces: Properties and applications to fractal and multifractal functions	1998	Stéphane Jaffard	6
+	A Multifractal Formalism	1995	L. Olsen	6
+ PDF Chat	Tube Formulas and Complex Dimensions of Self-Similar Tilings	2010	Michel L. Lapidus Erin P. J. Pearse	6
+	Multifractal decompositions of Moran fractals	1992	Robert Cawley R. Daniel Mauldin	5
+	On the multifractal analysis of measures	1992	G. Brown Gérard Michon J. Peyri�re	5
+ PDF Chat	Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators	2013	Michel L. Lapidus Erin P. J. Pearse Steffen Winter	5
+	The Riemann Hypothesis and Inverse Spectral Problems for Fractal Strings	1995	Michel L. Lapidus Helmut Maier	5
+	Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions	2011	Michel L. Lapidus Machiel van Frankenhuysen	5
+ PDF Chat	A TUBE FORMULA FOR THE KOCH SNOWFLAKE CURVE, WITH APPLICATIONS TO COMPLEX DIMENSIONS	2006	Michel L. Lapidus Erin P. J. Pearse	5
+ PDF Chat	Large Deviations for a General Class of Random Vectors	1984	Richard S. Ellis	4
+	The exact Hausdorff dimension in random recursive constructions	1988	Siegfried Graf R. Daniel Mauldin Stanley C. Williams	4
+	Wavelet methods for pointwise regularity and local oscillations of functions	1996	Stéphane Jaffard Yves Meyer	4
+ PDF Chat	Fractal Strings and Multifractal Zeta Functions	2009	Michel L. Lapidus Jacques Lévy Véhel John A. Rock	4
+	Multifractal Decompositions of Digraph Recursive Fractals	1992	Gerald A. Edgar R. Daniel Mauldin	4
+	Fractal Strings and Multifractal Zeta Functions	2006	Michel L. Lapidus Jacques Lévy Véhel John A. Rock	4
+	Geometric Measure Theory	1988	Herbert Fédérer	4
+	Random geometrically graph directed self-similar multifractals	2017	L. Olsen	4
+ PDF Chat	Multifractal and higher-dimensional zeta functions	2010	Jacques Lévy Véhel Franklin Mendivil	3
+	Multifractal Geometry	2000	L. Olsen	3
+	Hausdorff dimension of subsets of Moran fractals with prescribed group frequency of their codings	2002	Wenxia Li F. M. Dekking	3
+	THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES	1949	H. G. Eggleston	3
+	Random Self‐Similar Multifractals	1996	Matthias Arbeiter Norbert Patzschke	3
+	Additive functions of intervals and Hausdorff measure	1946	P. A. P. Morán	3
+	Fractal Geometry, Complex Dimensions and Zeta Functions	2006	Michel L. Lapidus Machiel van Frankenhuijsen	3
+	Multifractal Formalism for Functions Part II: Self-Similar Functions	1997	Stéphane Jaffard	3
+ PDF Chat	Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension	2013	Michel L. Lapidus John A. Rock Darko Žubrinić	2
+	A Course in Arithmetic	1973	Jean Pierre Serre	2
+ PDF Chat	The geometry of 𝑝-adic fractal strings: A comparative survey	2011	Michel L. Lapidus Lũ’ Hùng	2
+ PDF Chat	Box-Counting Fractal Strings, Zeta Functions, and Equivalent Forms of Minkowski Dimension	2013	Michel L. Lapidus John A. Rock Darko Žubrinić	2
+ PDF Chat	Lacunarity of self-similar and stochastically self-similar sets	1999	D. Gatzouras	2
+ PDF Chat	Invariance of the normalized Minkowski content with respect to the ambient space	2013	Maja Resman	2
+	Iterated function systems and the global construction of fractals	1985	Michael F. Barnsley Stephen Demko	2
+ PDF Chat	On the Minkowski measurability of fractals	1995	K. J. Falconer	2
+	Hausdorff and packing dimensions of subsets of Moran fractals with prescribed mixed group frequency of their codings	2009	Wenxia Li L. Olsen Zhi‐Ying Wen	2
+ PDF Chat	Complex Dimensions of Self-Similar Fractal Strings and Diophantine Approximation	2003	Michel L. Lapidus Machiel van Frankenhuysen	2
+ PDF Chat	Separation properties for self-similar sets	1994	Andreas Schief	2
+	Characterization of Minkowski measurability in terms of surface area	2012	Jan Rataj Steffen Winter	2
+ PDF Chat	Fractal zeta functions and complex dimensions of relative fractal drums	2014	Michel L. Lapidus Goran Radunović Darko Žubrinić	2
+	Towards zeta functions and complex dimensions of multifractals	2009	Michel L. Lapidus John A. Rock	2
+ PDF Chat	Removable singularities of solutions of linear partial differential equations	1970	Reese Harvey John C. Polking	2
+	A lower bound for the symbolic multifractal spectrum of a self‐similar multifractal with arbitrary overlaps	2009	L. Olsen	2
+	Dimensions of modified Besicovitch subsets of Moran fractal	2009	Yahao Wu Min Wu	2