Michel L. Lapidus

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All published works

Action	Title	Year	Authors
+	Revisiting Microlocal Analysis: A Bridge between Fractal Cohomology and Classical Function Spaces	2025	Claire David Michel L. Lapidus
+ PDF Chat	Weierstrass fractal drums: II towards a fractal cohomology	2024	Claire David Michel L. Lapidus
+	From Weierstrass to Riemann: The Frobenius Pass When Fractal Flows come into Play with Zeta Functions	2024	Claire David Michel L. Lapidus
+ PDF Chat	Fractal Complex Dimensions and Cohomology of the Weierstrass Curve	2024	Claire David Michel L. Lapidus
+	An Invitation to Fractal Geometry	2024	Michel L. Lapidus Goran Radunović
+	New Insights for Fractal Zeta Functions Polyhedral Neighborhoods vs Tubular Neighborhoods	2023	Claire David Michel L. Lapidus
+	Polyhedral Neighborhoods vs Tubular Neighborhoods: New Insights for the Fractal Zeta Functions and Complex Dimensions	2023	Claire David Michel L. Lapidus
+	Diffraction measures and patterns of the complex dimensions of self-similar fractal strings. I. The lattice case	2023	Michel L. Lapidus Machiel van Frankenhuijsen Edward K. Voskanian
+	Quantized Number Theory, Fractal Strings and the Riemann Hypothesis: From Spectral Operators to Phase Transitions and Universality	2021	Hafedh Herichi Michel L. Lapidus
+ PDF Chat	$$p$$-Adic Fractal Strings of Arbitrary Rational Dimensions and Cantor Strings	2021	Michel L. Lapidus Lũ’ Hùng Machiel van Frankenhuijsen
+ PDF Chat	Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves	2021	Therese-Marie Landry Michel L. Lapidus Frédéric Latrémolière
+ PDF Chat	Quasiperiodic Patterns of the Complex Dimensions of Nonlattice Self-Similar Strings, via the LLL Algorithm	2021	Michel L. Lapidus Machiel van Frankenhuijsen Edward K. Voskanian
+	$p$-adic fractal strings of arbitrary rational dimensions and Cantor strings	2020	Michel L. Lapidus Lũ’ Hùng Machiel van Frankenhuijsen
+	Metric Approximations of Spectral Triples on the Sierpi\'nski Gasket and other fractal curves.	2020	Therese-Marie Landry Michel L. Lapidus Frédéric Latrémolière
+	Quasiperiodic patterns of the complex dimensions of nonlattice self-similar strings, via the LLL algorithm	2020	Michel L. Lapidus Machiel van Frankenhuijsen Edward K. Voskanian
+ PDF Chat	Minkowski Measurability Criteria for Compact Sets and Relative Fractal Drums in Euclidean Spaces	2020	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Essential singularities of fractal zeta functions	2020	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	$p$-adic fractal strings of arbitrary rational dimensions and Cantor strings	2020	Michel L. Lapidus Hùng Lũ' Machiel van Frankenhuijsen
+	Metric Approximations of Spectral Triples on the Sierpiński Gasket and other fractal curves	2020	Therese-Marie Landry Michel L. Lapidus Frédéric Latrémolière
+	Quasiperiodic patterns of the complex dimensions of nonlattice self-similar strings, via the LLL algorithm	2020	Michel L. Lapidus Machiel van Frankenhuijsen Edward K. Voskanian
+	Essential singularities of fractal zeta functions	2019	Michel L. Lapidus Goran Radunović Darko Žubrinić
+ PDF Chat	An overview of complex fractal dimensions: from fractal strings to fractal drums, and back	2019	Michel L. Lapidus
+	Essential singularities of fractal zeta functions	2019	Michel L. Lapidus Goran Radunović Darko Žubrinić
+ PDF Chat	Minkowski Dimension and Explicit Tube Formulas for p-Adic Fractal Strings	2018	Michel L. Lapidus Lũ’ Hùng Machiel van Frankenhuijsen
+ PDF Chat	Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces	2018	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	An Overview of Complex Fractal Dimensions: From Fractal Strings to Fractal Drums, and Back	2018	Michel L. Lapidus
+ PDF Chat	Fractal tube formulas for compact sets and relative fractal drums: oscillations, complex dimensions and fractality	2018	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	An Overview of Complex Fractal Dimensions: From Fractal Strings to Fractal Drums, and Back	2018	Michel L. Lapidus
+	Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+ PDF Chat	Complex dimensions of fractals and meromorphic extensions of fractal zeta functions	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Towards a Fractal Cohomology: Spectra of Polya–Hilbert Operators, Regularized Determinants and Riemann Zeros	2017	Tim Cobler Michel L. Lapidus
+	Classification of Fractal Sets and Concluding Comments	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Fractal Zeta Functions and Fractal Drums	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Fractal Tube Formulas and Complex Dimensions	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Applications of Distance and Tube Zeta Functions	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Distance and Tube Zeta Functions	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Relative Fractal Drums and Their Complex Dimensions	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+ PDF Chat	Zeta functions and complex dimensions of relative fractal drums: theory, examples and applications	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Introduction	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Towards a fractal cohomology: Spectra of Polya--Hilbert operators, regularized determinants and Riemann zeros	2017	Tim Cobler Michel L. Lapidus
+	Distance and tube zeta functions of fractals and arbitrary compact sets	2016	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Minkowski measurability criteria for compact sets and relative fractal drums in Euclidean spaces	2016	Michel L. Lapidus Goran Radunović Darko Žubrinić
+ PDF Chat	Nontrivial paths and periodic orbits of the<i>T</i>-fractal billiard table	2016	Michel L. Lapidus Robyn L. Miller Robert G. Niemeyer
+	COMPLEX DIMENSIONS AND SPECTRAL ASYMPTOTICS	2016	Ben Hambly Michel L. Lapidus
+	Minkowski measurability criteria for compact sets and relative fractal drums in Euclidean spaces	2016	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Feynman's Operational Calculus and Beyond: Noncommutativity and Time-Ordering	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Derivational Derivatives and Feynman’s Operational Calculi	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Disentangling via Tensor Products and Ordered Supports	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Extraction of Multilinear Factors and Iterative Disentangling	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Spectral Theory for Noncommuting Operators	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Disentangling: Definitions, Properties and Elementary Examples	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Stability Properties of Feynman’s Operational Calculi	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Auxiliary Operations and Disentangling Algebras	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Epilogue: Miscellaneous Topics and Possible Extensions	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Time-Dependent Feynman’s Operational Calculus and Evolution Equations	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+	Feynman's Operational Calculus and Beyond	2015	Gerald W. Johnson Michel L. Lapidus Lance Nielsen
+ PDF Chat	Towards quantized number theory: spectral operators and an asymmetric criterion for the Riemann hypothesis	2015	Michel L. Lapidus
+ 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
+ PDF Chat	Dirac operators and geodesic metric on the harmonic Sierpinski gasket and other fractal sets	2015	Michel L. Lapidus Jonathan J. Sarhad
+	The Sound of Fractal Strings and the Riemann Hypothesis	2015	Michel L. Lapidus
+ PDF Chat	Fractal Zeta Functions and Complex Dimensions: A General Higher-Dimensional Theory	2015	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	The Sound of Fractal Strings and the Riemann Hypothesis	2015	Michel L. Lapidus
+ PDF Chat	Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function	2014	Hafedh Herichi Michel L. Lapidus
+ PDF Chat	Fractal zeta functions and complex dimensions of relative fractal drums	2014	Michel L. Lapidus Goran Radunović Darko Žubrinić
+ PDF Chat	Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I	2013	David CarfÃ¬ Michel L. Lapidus Erin P. J. Pearse Machiel van Frankenhuijsen
+	Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function	2013	Hafedh Herichi Michel L. Lapidus
+ PDF Chat	The Current State of Fractal Billiards	2013	Michel L. Lapidus Robert G. Niemeyer
+ PDF Chat	Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators	2013	Michel L. Lapidus Erin P. J. Pearse Steffen Winter
+ PDF Chat	The Decimation Method for Laplacians on Fractals: Spectra and Complex Dynamics	2013	Nishu Lal Michel L. Lapidus
+ 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	Minkowski Measurability and Exact Fractal Tube Formulas for 𝑝-Adic Self-Similar Strings	2013	Michel L. Lapidus Lũ’ Hùng Machiel van Frankenhuijsen
+ PDF Chat	Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator	2013	Hafedh Herichi Michel L. Lapidus
+ 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
+ PDF Chat	Sequences of compatible periodic hybrid orbits of prefractal Koch snowflake billiards	2013	Robert G. Niemeyer Michel L. Lapidus
+ PDF Chat	Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators	2013	Michel L. Lapidus Erin P. J. Pearse Steffen Winter
+	Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function	2013	Hafedh Herichi Michel L. Lapidus
+	The Decimation Method for Laplacians on Fractals: Spectra and Complex Dynamics	2013	Nishu Lal Michel L. Lapidus
+	Fractal Geometry, Complex Dimensions and Zeta Functions	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+ PDF Chat	Riemann zeros and phase transitions via the spectral operator on fractal strings	2012	Hafedh Herichi Michel L. Lapidus
+	Critical Zeros of Zeta Functions	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+	Riemann Hypothesis and Inverse Spectral Problems	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+	Periodic Orbits of Self-Similar Flows	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+	Complex Dimensions of Self-Similar Fractal Strings	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+	Generalized Cantor Strings and their Oscillations	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+	Complex Dimensions of Ordinary Fractal Strings	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+	Fractality and Complex Dimensions	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+	Explicit Formulas for Generalized Fractal Strings	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+	Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation	2012	Michel L. Lapidus Machiel van Frankenhuijsen
+	Relative zeta functions of fractal sets in Euclidean spaces	2012	Michel L. Lapidus Goran Radunović Darko Žubrinić
+ PDF Chat	Hyperfunctions and spectral zeta functions of Laplacians on self-similar fractals	2012	Nishu Lal Michel L. Lapidus
+	Zeta functions associated with arbitrary compact sets in $R^{; ; N}; ; $: Towards a general theory of complex fractal dimensions (reporter: Professor Michel L. Lapidus)	2012	Michel L. Lapidus Goran Radunović Darko Žubrinić
+	Fractal Strings, Complex Dimensions and the Spectral Operator: From the Riemann Hypothesis to Phase Transitions and Universality	2012	Michel L. Lapidus
+	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
+	Minkowski Measurability and Exact Fractal Tube Formulas for p-Adic Self-Similar Strings	2012	Michel L. Lapidus Lu Hung Machiel van Frankenhuijsen
+	Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension	2012	Michel L. Lapidus John A. Rock Darko Žubrinić
+	Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator	2012	Hafedh Herichi Michel L. Lapidus
+	The current state of fractal billiards	2012	Michel L. Lapidus Robert G. Niemeyer
+	Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions	2011	Michel L. Lapidus Machiel van Frankenhuysen
+	Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators	2011	Michel L. Lapidus Erin P. J. Pearse Steffen Winter
+ PDF Chat	The geometry of 𝑝-adic fractal strings: A comparative survey	2011	Michel L. Lapidus Lũ’ Hùng
+	Families of Periodic Orbits of the Koch Snowflake Fractal Billiard	2011	Michel L. Lapidus Robert G. Niemeyer
+	The Geometry of p-Adic Fractal Strings: A Comparative Survey	2011	Michel L. Lapidus Hung Lu
+	Partition zeta functions, multifractal spectra, and tapestries of complex dimensions	2010	Kate E. Ellis Michel L. Lapidus Michael C. Mackenzie John A. Rock
+ PDF Chat	Tube Formulas and Complex Dimensions of Self-Similar Tilings	2010	Michel L. Lapidus Erin P. J. Pearse
+	Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators	2010	Michel L. Lapidus Erin P. J. Pearse Steffen Winter
+ PDF Chat	Towards the Koch snowflake fractal billiard: computer experiments and mathematical conjectures	2010	Michel L. Lapidus Robert G. Niemeyer
+	Partition zeta functions, multifractal spectra, and tapestries of complex dimensions	2010	Kate E. Ellis Michel L. Lapidus Michael C. Mackenzie John A. Rock
+	Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators	2010	Michel L. Lapidus Erin P. J. Pearse Steffen Winter
+	Self-similar p-adic fractal strings and their complex dimensions	2009	Michel L. Lapidus Lũ’ Hùng
+	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
+	Analysis on fractals, geodesic metric and noncommutative geometry.	2009	Michel L. Lapidus
+	Towards the Koch Snowflake Fractal Billiard: Computer Experiments and Mathematical Conjectures	2009	Michel L. Lapidus Robert G. Niemeyer
+	A trace on fractal graphs and the Ihara zeta function	2008	Daniele Guido Tommaso Isola Michel L. Lapidus
+ PDF Chat	Ihara's zeta function for periodic graphs and its approximation in the amenable case	2008	Daniele Guido Tommaso Isola Michel L. Lapidus
+ PDF Chat	Nonarchimedean Cantor set and string	2008	Michel L. Lapidus Lũ’ Hùng
+	Ihara Zeta Functions for Periodic Simple Graphs	2008	Daniele Guido Tommaso Isola Michel L. Lapidus
+	Tube formulas for self-similar fractals	2008	Michel L. Lapidus Erin P. J. Pearse
+ PDF Chat	Bartholdi zeta functions for periodic simple graphs	2008	Daniele Guido Tommaso Isola Michel L. Lapidus
+	Bartholdi zeta functions for periodic simple graphs	2008	Daniele Guido Tommaso Isola Michel L. Lapidus
+	Toward zeta functions and complex dimensions of multifractals	2008	Michel L. Lapidus John A. Rock
+ PDF Chat	C*-algebras and Elliptic Theory II	2008	Daniele Guido Tommaso Isola Michel L. Lapidus
+ PDF Chat	LOCALIZATION ON SNOWFLAKE DOMAINS	2007	Britta Daudert Michel L. Lapidus
+	Dirac operators and spectral triples for some fractal sets built on curves	2007	Erik Christensen Cristina Ivan Michel L. Lapidus
+ PDF Chat	Fractal geometry, complex dimensions and zeta functions: geometry and spectra of fractal strings	2007	Michel L. Lapidus Machiel van Frankenhuijsen
+	Tube formulas for self-similar fractals	2007	Michel L. Lapidus Erin P. J. Pearse
+	Fractal Strings and Multifractal Zeta Functions	2006	Michel L. Lapidus Jacques Lévy Véhel John A. Rock
+ PDF Chat	A TUBE FORMULA FOR THE KOCH SNOWFLAKE CURVE, WITH APPLICATIONS TO COMPLEX DIMENSIONS	2006	Michel L. Lapidus Erin P. J. Pearse
+	Localization on Snowflake Domains	2006	Britta Daudert Michel L. Lapidus
+ PDF Chat	Beurling Zeta Functions, Generalised Primes, and Fractal Membranes	2006	Titus Hilberdink Michel L. Lapidus
+	Tube formulas and complex dimensions of self-similar tilings	2006	Michel L. Lapidus Erin P. J. Pearse
+	Fractal Geometry, Complex Dimensions and Zeta Functions	2006	Michel L. Lapidus Machiel van Frankenhuijsen
+	Complex dimensions of self-similar systems	2006	Michel L. Lapidus Erin P. J. Pearse
+	Dirac operators and spectral triples for some fractal sets built on curves	2006	Erik Christensen Cristina Ivan Michel L. Lapidus
+	Localization on Snowflake Domains	2006	B. Daudert Michel L. Lapidus
+	Tube formulas and complex dimensions of self-similar tilings	2006	Michel L. Lapidus Erin P. J. Pearse
+	Fractal Strings and Multifractal Zeta Functions	2006	Michel L. Lapidus Jacques Lévy Véhel John A. Rock
+	T-DUALITY, FUNCTIONAL EQUATION, AND NONCOMMUTATIVE STRING SPACETIME	2005	Michel L. Lapidus
+ PDF Chat	Random fractal strings: Their zeta functions, complex dimensions and spectral asymptotics	2005	Ben Hambly Michel L. Lapidus
+	A tube formula for the Koch snowflake curve, with applications to complex dimensions	2004	Michel L. Lapidus Erin P. J. Pearse
+	Fractality, Self-Similarity and Complex Dimensions	2004	Michel L. Lapidus Machiel van Frankenhuijsen
+	Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot	2004	Michel L. Lapidus Machiel van Frankenhuijsen
+	Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot	2004	Michel L. Lapidus Machiel van Frankenhuijsen
+	Beurling Zeta Functions, Generalised Primes, and Fractal Membranes	2004	Titus Hilberdink Michel L. Lapidus
+ PDF Chat	Fractality, self-similarity and complex dimensions	2004	Michel L. Lapidus Machiel van Frankenhuijsen
+	Fractal geometry and applications—An introduction to this volume	2004	Michel L. Lapidus
+	A tube formula for the Koch snowflake curve, with applications to complex dimensions	2004	Michel L. Lapidus Erin P. J. Pearse
+	Analysis, number theory, and dynamical systems	2004	Michel L. Lapidus Machiel van Frankenhuysen Benoît B. Mandelbrot
+ PDF Chat	Complex Dimensions of Self-Similar Fractal Strings and Diophantine Approximation	2003	Michel L. Lapidus Machiel van Frankenhuysen
+	Self-Similarity of Volume Measures for Laplacians¶on P. C. F. Self-Similar Fractals	2001	Jun Kigami Michel L. Lapidus
+ PDF Chat	A prime orbit theorem for self-similar flows and Diophantine approximation	2001	Michel L. Lapidus Machiel van Frankenhuysen
+ PDF Chat	Dynamical, Spectral, and Arithmetic Zeta Functions	2001	Michel L. Lapidus Machiel van Frankenhuysen
+	A Prime Orbit Theorem for Self-Similar Flows and Diophantine Approximation	2001	Michel L. Lapidus Machiel van Frankenhuysen
+	Dynamical, spectral, and arithmetic zeta functions : AMS Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas	2001	Arithmetic Zeta Functions Michel L. Lapidus Machiel van Frankenhuysen
+	The Feynman Integral and Feynman's Operational Calculus	2000	Gerald W. Johnson Michel L. Lapidus
+	Tubular Neighborhoods and Minkowski Measurability	2000	Michel L. Lapidus Machiel van Frankenhuysen
+	The Riemann Hypothesis, Inverse Spectral Problems and Oscillatory Phenomena	2000	Michel L. Lapidus Machiel van Frankenhuysen
+	Explicit Formulas for Generalized Fractal Strings	2000	Michel L. Lapidus Machiel van Frankenhuijsen
+	The Critical Zeros of Zeta Functions	2000	Michel L. Lapidus Machiel van Frankenhuysen
+	Generalized Cantor Strings and their Oscillations	2000	Michel L. Lapidus Machiel van Frankenhuysen
+	Complex Dimensions of Self-Similar Fractal Strings	2000	Michel L. Lapidus Machiel van Frankenhuysen
+	Complex Dimensions of Ordinary Fractal Strings	2000	Michel L. Lapidus Machiel van Frankenhuysen
+	Complex dimensions of fractal strings and oscillatory phenomena in fractal geometry and arithmetic	1999	Michel L. Lapidus Machiel van Frankenhuysen
+	Progress in Inverse Spectral Geometry	1997	Stig Andersson Michel L. Lapidus
+	None	1997	B. DeFacio Gerald W. Johnson Michel L. Lapidus
+ PDF Chat	Computer Graphics and the Eigenfunctions for the Koch Snowflake Drum	1997	Cheryl A. Griffith Michel L. Lapidus
+ PDF Chat	Harmonic Analysis and Nonlinear Differential Equations	1997	Michel L. Lapidus Lawrence H. Harper Adolfo J. Rumbos
+	Spectral Geometry: An Introduction and Background Material for this Volume	1997	Stig Andersson Michel L. Lapidus
+	Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals	1997	Michel L. Lapidus
+	Harmonic analysis and nonlinear differential equations : a volume in honor of Victor L. Shapiro : November 3-5, 1995, University of California, Riverside	1997	Victor L. Shapiro Michel L. Lapidus Lawrence H. Harper Adolfo J. Rumbos
+	Counterexamples to the modified Weyl–Berry conjecture on fractal drums	1996	Michel L. Lapidus Carl Pomerance
+	FRACTALS AND VIBRATIONS: CAN YOU HEAR THE SHAPE OF A FRACTAL DRUM?	1995	Michel L. Lapidus
+ PDF Chat	Eigenfunctions of the Koch snowflake domain	1995	Michel L. Lapidus Michael M. H. Pang
+	The Riemann Hypothesis and Inverse Spectral Problems for Fractal Strings	1995	Michel L. Lapidus Helmut Maier
+ PDF Chat	Indefinite elliptic boundary value problems on irregular domains	1995	Jacqueline Fleckinger Michel L. Lapidus
+ PDF Chat	Indefinite Elliptic Boundary Value Problems on Irregular Domains	1995	Jacqueline Fleckinger Michel L. Lapidus
+ PDF Chat	Schrödinger operators with indefinite weight functions: asymptotics of eigenvalues with remainder estimates	1994	Jacqueline Fleckinger Michel L. Lapidus
+ PDF Chat	Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals	1993	Jun Kigami Michel L. Lapidus
+	Feynman’s Operational Calculus As A Generalized Path Integral	1993	B. DeFacio G. W. Johnson Michel L. Lapidus
+ PDF Chat	The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums	1993	Michel L. Lapidus Carl Pomerance
+	Spectral and Fractal Geometry: From the Weyl-Berry Conjecture for the Vibrations of Fractal Drums to the Riemann Zeta-Function	1992	Michel L. Lapidus
+ PDF Chat	Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture	1991	Michel L. Lapidus
+ PDF Chat	Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture	1991	Michel L. Lapidus
+	Can One Hear the Shape of a Fractal Drum? Partial Resolution of the Weyl-Berry Conjecture	1991	Michel L. Lapidus
+ PDF Chat	Product Formula for Resolvents of Normal Operators and the Modified Feynman Integral	1990	António de Bivar-Weinholtz Michel L. Lapidus
+ PDF Chat	Product formula for resolvents of normal operators and the modified Feynman integral	1990	António de Bivar-Weinholtz Michel L. Lapidus
+	The Feynman-Kac formula with a Lebesgue-Stieltjes measure: An integral equation in the general case	1989	Michel L. Lapidus
+	Noncommutative operations on Wiener functionals and Feynman's operational calculus	1988	G. W. Johnson Michel L. Lapidus
+	The Feynman‐Kac Formula with a Lebesgue‐Stieltjes Measure and Feynman's Operational Calculus	1987	Michel L. Lapidus
+	Remainder estimates for the asymptotics of elliptic eigenvalue problems with indefinite weights	1987	Jacqueline Fleckinger Michel L. Lapidus
+ PDF Chat	Feynman’s operational calculus, generalized Dyson series and the Feynman integral	1987	Gerald W. Johnson Michel L. Lapidus
+ PDF Chat	Eigenvalues of Elliptic Boundary Value Problems With an Indefinite Weight Function	1986	Jacqueline Fleckinger Michel L. Lapidus
+ PDF Chat	Eigenvalues of elliptic boundary value problems with an indefinite weight function	1986	Jacqueline Fleckinger Michel L. Lapidus
+	Formules de Trotter et calcul opérationnel de Feynman	1986	Michel L. Lapidus
+	Product formula, imaginary resolvents and modified Feynman integral	1986	Michel L. Lapidus
+	Product formula for imaginary resolvents with application to a modified Feynman integral	1985	Michel L. Lapidus
+	Perturbation theory and a dominated convergence theorem for Feynman integrals	1985	Michel L. Lapidus
+	Generalization of the Trotter-Lie formula	1981	Michel L. Lapidus

Common Coauthors

Coauthor	Papers Together
Machiel van Frankenhuijsen	27
Darko Žubrinić	26
Goran Radunović	22
Erin P. J. Pearse	15
Machiel van Frankenhuysen	15
Gerald W. Johnson	14
John A. Rock	13
Lance Nielsen	10
Lũ’ Hùng	7
Robert G. Niemeyer	7
Hafedh Herichi	7
Daniele Guido	6
Jacqueline Fleckinger	6
Claire David	6
Tommaso Isola	6
Steffen Winter	5
Edward K. Voskanian	4
Frédéric Latrémolière	3
Kate E. Ellis	3
Jacques Lévy Véhel	3
Therese-Marie Landry	3
Michael C. Mackenzie	3
Nishu Lal	3
Stig Andersson	2
Jun Kigami	2
António de Bivar-Weinholtz	2
Lawrence H. Harper	2
B. DeFacio	2
Adolfo J. Rumbos	2
Tim Cobler	2
Erik Christensen	2
Carl Pomerance	2
Ben Hambly	2
Britta Daudert	2
Scott Alan Roby	2
Titus Hilberdink	2
G. Radunović	2
G. W. Johnson	2
Rolando de Santiago	2
Cristina Ivan	1
B. Daudert	1
Hung Lu	1
Michael M. H. Pang	1
Lance Nielsen	1
Robyn L. Miller	1
Cheryl A. Griffith	1
Arithmetic Zeta Functions	1
David CarfÃ¬	1
Hùng Lũ'	1
Benoît B. Mandelbrot	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums	1993	Michel L. Lapidus Carl Pomerance	65
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer	62
+ PDF Chat	Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture	1991	Michel L. Lapidus	61
+	The Riemann Hypothesis and Inverse Spectral Problems for Fractal Strings	1995	Michel L. Lapidus Helmut Maier	52
+ PDF Chat	Fractal geometry, complex dimensions and zeta functions: geometry and spectra of fractal strings	2007	Michel L. Lapidus Machiel van Frankenhuijsen	49
+	Spectral and Fractal Geometry: From the Weyl-Berry Conjecture for the Vibrations of Fractal Drums to the Riemann Zeta-Function	1992	Michel L. Lapidus	46
+	Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions	2011	Michel L. Lapidus Machiel van Frankenhuysen	34
+	Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators	2011	Michel L. Lapidus Erin P. J. Pearse Steffen Winter	33
+ PDF Chat	Tube Formulas and Complex Dimensions of Self-Similar Tilings	2010	Michel L. Lapidus Erin P. J. Pearse	32
+	Counterexamples to the modified Weyl–Berry conjecture on fractal drums	1996	Michel L. Lapidus Carl Pomerance	31
+ PDF Chat	Can one hear the dimension of a fractal?	1986	Jean Brossard Ren� Carmona	31
+ PDF Chat	Random fractal strings: Their zeta functions, complex dimensions and spectral asymptotics	2005	Ben Hambly Michel L. Lapidus	30
+	The Feynman Integral and Feynman's Operational Calculus	2000	Gerald W. Johnson Michel L. Lapidus	27
+ PDF Chat	A TUBE FORMULA FOR THE KOCH SNOWFLAKE CURVE, WITH APPLICATIONS TO COMPLEX DIMENSIONS	2006	Michel L. Lapidus Erin P. J. Pearse	25
+	FRACTAL GEOMETRY AND NUMBER THEORY: COMPLEX DIMENSIONS OF FRACTAL STRINGS AND ZEROS OF ZETA FUNCTIONS	2001	L. Olsen	25
+	Fractal Geometry, Complex Dimensions and Zeta Functions	2006	Michel L. Lapidus Machiel van Frankenhuijsen	24
+	On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure	1954	A. S. Besicovitch S. J. Taylor	23
+ PDF Chat	Fractal Strings and Multifractal Zeta Functions	2009	Michel L. Lapidus Jacques Lévy Véhel John A. Rock	23
+	Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability	1995	Pertti Mattila	20
+ PDF Chat	The geometry of 𝑝-adic fractal strings: A comparative survey	2011	Michel L. Lapidus Lũ’ Hùng	20
+	The analysis of linear partial differential operators	1990	Lars Hörmander	20
+ PDF Chat	Canonical self-affine tilings by iterated function systems	2007	Erin P. J. Pearse	20
+	Riemann's Zeta Function	1974	Harold M. Edwards	19
+ PDF Chat	Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals	1993	Jun Kigami Michel L. Lapidus	19
+	Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions	2017	Michel L. Lapidus Goran Radunović Darko Žubrinić	19
+ PDF Chat	Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture	1991	Michel L. Lapidus	19
+ PDF Chat	Minkowski Measurability and Exact Fractal Tube Formulas for 𝑝-Adic Self-Similar Strings	2013	Michel L. Lapidus Lũ’ Hùng Machiel van Frankenhuijsen	18
+	Geometric Measure Theory	1988	Herbert Fédérer	18
+	Wavelet methods for pointwise regularity and local oscillations of functions	1996	Stéphane Jaffard Yves Meyer	18
+ PDF Chat	On the Minkowski measurability of fractals	1995	K. J. Falconer	18
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	17
+ PDF Chat	Spectral zeta functions of fractals and the complex dynamics of polynomials	2007	Alexander Teplyaev	17
+	Tube formulas for self-similar fractals	2008	Michel L. Lapidus Erin P. J. Pearse	17
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	16
+ 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	16
+	Analysis of Minkowski Contents of Fractal Sets and Applications	2006	Darko Žubrinić	16
+	Geometry of canonical self-similar tilings	2012	Erin P. J. Pearse Steffen Winter	16
+	Geometric Measure Theory	1996	Herbert Fédérer	16
+	Analysis on Fractals	2009	Jun Kigami	16
+ PDF Chat	Analysis on fractals, Laplacians on self-similar sets, noncommutative geometry and spectral dimensions	1994	Michael L. Lapidus	16
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	15
+ PDF Chat	An Operator Calculus Having Applications in Quantum Electrodynamics	1951	Richard P. Feynman	15
+	The Feynman‐Kac Formula with a Lebesgue‐Stieltjes Measure and Feynman's Operational Calculus	1987	Michel L. Lapidus	15
+	Characterization of Minkowski measurability in terms of surface area	2012	Jan Rataj Steffen Winter	15
+	Additive functions of intervals and Hausdorff measure	1946	P. A. P. Morán	15
+	Quantized Number Theory, Fractal Strings and the Riemann Hypothesis: From Spectral Operators to Phase Transitions and Universality	2021	Hafedh Herichi Michel L. Lapidus	15
+	Fractal Geometry, Complex Dimensions and Zeta Functions	2012	Michel L. Lapidus Machiel van Frankenhuijsen	15
+ PDF Chat	An example of a two-term asymptotics for the ‘‘counting function” of a fractal drum	1993	Jacqueline Fleckinger‐Pellé Dmitri Vassiliev	15
+ PDF Chat	Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators	2013	Michel L. Lapidus Erin P. J. Pearse Steffen Winter	15
+ PDF Chat	Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator	2013	Hafedh Herichi Michel L. Lapidus	15