Luke G. Rogers

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All published works

Action	Title	Year	Authors
+ PDF Chat	Gaps labeling theorem for the bubble-diamond self-similar graphs	2023	Elizabeth Melville Gamal Mograby Nikhil Nagabandi Luke G. Rogers Alexander Teplyaev
+	From Strichartz Estimates to Differential Equations on Fractals	2023	Patricia Alonso Ruiz Michael Hinz Kasso A. Okoudjou Luke G. Rogers Alexander Teplyaev
+ PDF Chat	BV functions and fractional Laplacians on Dirichlet spaces	2023	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+ PDF Chat	Resistance scaling on 4<i>N</i>-carpets	2021	Claire Canner Christopher Hayes Robin Huang Michael Orwin Luke G. Rogers
+ PDF Chat	Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates	2021	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Geodesic interpolation on Sierpiński gaskets	2021	Caitlin Davis Laura A. LeGare Cory W. McCartan Luke G. Rogers
+	Spectra of three-peg Hanoi towers graphs	2021	Brett Hungar Gamal Mograby Madison Phelps Luke G. Rogers Jonathan Wheeler
+ PDF Chat	Discretization of the Koch Snowflake Domain with Boundary and Interior Energies	2020	Malcolm Gabbard Carlos José Mota de Lima Gamal Mograby Luke G. Rogers Alexander Teplyaev
+	Resistance Scaling on $4N$-Carpets	2020	Claire Canner Christopher Hayes Shinyu Huang Michael Orwin Luke G. Rogers
+ PDF Chat	HARMONIC GRADIENTS ON HIGHER-DIMENSIONAL SIERPIŃSKI GASKETS	2020	Luke C. Brown Giovanni Ferrer Gamal Mograby Luke G. Rogers Karuna S Sangam
+ PDF Chat	Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates	2020	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+ PDF Chat	Fractal AC Circuits and Propagating Waves on Fractals	2020	Éric Akkermans Joe P. Chen Gerald V. Dunne Luke G. Rogers Alexander Teplyaev
+	Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities	2020	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Resistance Scaling on $4N$-Carpets	2020	Claire Canner C. Hayes Shinyu Huang Michael Orwin Luke G. Rogers
+	Discretization of the Koch Snowflake Domain with Boundary and Interior Energies	2020	Malcolm Gabbard Carlos Lima Gamal Mograby Luke G. Rogers Alexander Teplyaev
+ PDF Chat	Analysis, Probability and Mathematical Physics on Fractals	2019	Patricia Alonso Ruiz Joe P. Chen Luke G. Rogers Robert S. Strichartz Alexander Teplyaev
+	The Strong Maximum Principle for Schr\"{o}dinger operators on fractals	2019	Marius Ionescu Kasso A. Okoudjou Luke G. Rogers
+	The Strong Maximum Principle for Schrödinger operators on fractals	2019	Marius Ionescu Kasso A. Okoudjou Luke G. Rogers
+	Spectral properties of graphs associated to the Basilica group	2019	Antoni Brzoska Courtney George Samantha Jarvis Luke G. Rogers Alexander Teplyaev
+ PDF Chat	The strong maximum principle for Schrödinger operators on fractals	2019	Marius Ionescu Kasso A. Okoudjou Luke G. Rogers
+	BV functions and fractional Laplacians on Dirichlet spaces	2019	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	The Strong Maximum Principle for Schrödinger operators on fractals	2019	Marius Ionescu Kasso A. Okoudjou Luke G. Rogers
+	Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+ PDF Chat	Sobolev algebra counterexamples	2018	Thierry Coulhon Luke G. Rogers
+	BV functions and Besov spaces associated with Dirichlet spaces	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+ PDF Chat	Power dissipation in fractal AC circuits	2017	Joe P. Chen Luke G. Rogers Loren Anderson Ulysses Andrews Antoni Brzoska Aubrey Coffey Hannah Davis Lee E. Fisher Madeline Hansalik Stephen Loew
+	Spectra of Magnetic Operators on the Diamond Lattice Fractal	2017	Antoni Brzoska Aubrey Coffey Madeline Rooney Stephen Loew Luke G. Rogers
+	Measurable Riemannian structure on higher dimensional harmonic Sierpinski gaskets	2017	Sara Chari Joshua Frisch Daniel J. Kelleher Luke G. Rogers
+ PDF Chat	Magnetic Laplacians of locally exact forms on the Sierpinski Gasket	2017	Jessica Hyde Daniel J. Kelleher Jesse Moeller Luke G. Rogers Luis Seda
+	Embedding convex geometries and a bound on convex dimension	2016	Michael Richter Luke G. Rogers
+	Some spectral properties of pseudo-differential operators on the Sierpiński gasket	2016	Marius Ionescu Kasso A. Okoudjou Luke G. Rogers
+	Sobolev Algebra Counterexamples	2016	Thierry Coulhon Luke G. Rogers
+	On a theorem of Grigor'yan, Hu and Lau	2016	Luke G. Rogers
+ PDF Chat	Magnetic fields on resistance spaces	2016	Michael Hinz Luke G. Rogers
+	Magnetic Laplacians of locally exact forms on the Sierpinski Gasket	2016	Jessica Hyde Daniel J. Kelleher Jesse Moeller Luke G. Rogers Luis Seda
+	On a theorem of Grigor'yan, Hu and Lau	2016	Luke G. Rogers
+	Magnetic Laplacians of locally exact forms on the Sierpinski Gasket	2016	Jessica Hyde Daniel J. Kelleher Jesse Moeller Luke G. Rogers Luis Seda
+	Sobolev Algebra Counterexamples	2016	Thierry Coulhon Luke G. Rogers
+	Embedding convex geometries and a bound on convex dimension	2015	Michael Richter Luke G. Rogers
+	Magnetic fields on resistance spaces	2015	Michael Hinz Luke G. Rogers
+	Embedding convex geometries and a bound on convex dimension	2015	Michael Richter Luke G. Rogers
+ PDF Chat	Complex Powers of the Laplacian on Affine Nested Fractals as Calderón-Zygmund operators	2014	Luke G. Rogers Marius Ionescu
+	Some spectral properties of pseudo-differential operators on the Sierpinski Gasket	2014	Marius Ionescu Kasso A. Okoudjou Luke G. Rogers
+	Some spectral properties of pseudo-differential operators on the Sierpinski Gasket	2014	Marius Ionescu Kasso A. Okoudjou Luke G. Rogers
+ PDF Chat	Pseudo-differential operators on fractals and other metric measure spaces	2013	Marius Ionescu Luke G. Rogers Robert S. Strichartz
+	Derivations and Dirichlet forms on fractals	2012	Marius Ionescu Luke G. Rogers Alexander Teplyaev
+ PDF Chat	Estimates for the resolvent kernel of the Laplacian on p.c.f. self-similar fractals and blowups	2011	Luke G. Rogers
+	Pseudo-differential Operators on Fractals	2011	Marius Ionescu Luke G. Rogers Robert S. Strichartz
+	Pseudo-differential Operators on Fractals	2011	Marius Ionescu Luke G. Rogers Robert S. Strichartz
+ PDF Chat	Distribution theory on P.C.F. fractals	2010	Luke G. Rogers Robert S. Strichartz
+	Estimates for the resolvent kernel of the Laplacian on p.c.f. self similar fractals and blowups	2010	Luke G. Rogers
+	The resolvent kernel for PCF self-similar fractals	2010	Marius Ionescu Erin P. J. Pearse Luke G. Rogers Huo-Jun Ruan Robert S. Strichartz
+	Complex Powers of the Laplacian on Affine Nested Fractals as Calder\'on-Zygmund operators	2010	Marius Ionescu Luke G. Rogers
+ PDF Chat	Laplacians on the basilica Julia set	2010	Luke G. Rogers Alexander Teplyaev
+	Estimates for the resolvent kernel of the Laplacian on p.c.f. self similar fractals and blowups	2010	Luke G. Rogers
+	Complex Powers of the Laplacian on Affine Nested Fractals as Calderón-Zygmund operators	2010	Marius Ionescu Luke G. Rogers
+ PDF Chat	Szegö Limit Theorems on the Sierpiński Gasket	2009	Kasso A. Okoudjou Luke G. Rogers Robert S. Strichartz
+ PDF Chat	Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket	2009	Kasso A. Okoudjou Luke G. Rogers Robert S. Strichartz
+	Distribution theory on p.c.f. fractals	2009	Luke G. Rogers Robert S. Strichartz
+	The resolvent kernel for PCF self-similar fractals	2008	Marius Ionescu Erin P. J. Pearse Luke G. Rogers Huo-Jun Ruan Robert S. Strichartz
+ PDF Chat	Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals	2008	Luke G. Rogers Robert S. Strichartz Alexander Teplyaev
+ PDF Chat	Gradients of Laplacian eigenfunctions on the Sierpinski gasket	2008	Jessica L. DeGrado Luke G. Rogers Robert S. Strichartz
+	Szego limit theorems on the Sierpinski gasket	2008	Kasso A. Okoudjou Luke G. Rogers Robert S. Strichartz
+	The resolvent kernel for PCF self-similar fractals	2008	Marius Ionescu Erin P. J. Pearse Luke G. Rogers Huo-Jun Ruan Robert S. Strichartz
+	Unimodular Fourier multipliers for modulation spaces	2007	Árpád Bényi Karlheinz Gröchenig Kasso A. Okoudjou Luke G. Rogers
+	Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket	2007	Jessica L. DeGrado Luke G. Rogers Robert S. Strichartz
+	Unimodular Fourier multipliers for modulation spaces	2006	Árpád Bényi Karlheinz Gröchenig Kasso A. Okoudjou Luke G. Rogers
+	Degree-independent Sobolev extension on locally uniform domains	2006	Luke G. Rogers

Common Coauthors

Coauthor	Papers Together
Alexander Teplyaev	19
Marius Ionescu	17
Robert S. Strichartz	15
Kasso A. Okoudjou	13
Patricia Alonso Ruiz	10
Li Chen	8
Fabrice Baudoin	8
Nageswari Shanmugalingam	8
Gamal Mograby	5
Erin P. J. Pearse	3
Huo-Jun Ruan	3
Claire Canner	3
Joe P. Chen	3
Jesse Moeller	3
Luis Seda	3
Antoni Brzoska	3
Daniel J. Kelleher	3
Michael Orwin	3
Michael Hinz	3
Thierry Coulhon	3
Karlheinz Gröchenig	2
Aubrey Coffey	2
Christopher Hayes	2
Jessica L. DeGrado	2
Malcolm Gabbard	2
Árpád Bényi	2
Stephen Loew	2
Shinyu Huang	2
Jessica Hyde	2
Michael Richter	2
Giovanni Ferrer	1
Ulysses Andrews	1
Brett Hungar	1
Samantha Jarvis	1
Carlos José Mota de Lima	1
Daniel J. Kelleher	1
Robin Huang	1
Lee E. Fisher	1
Nikhil Nagabandi	1
Madeline Rooney	1
Hannah Davis	1
C. Hayes	1
Loren Anderson	1
Madeline Hansalik	1
Sara Chari	1
Madison Phelps	1
Gerald V. Dunne	1
Laura A. LeGare	1
Elizabeth Melville	1
Joshua Frisch	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Differential Equations on Fractals: A Tutorial	2006	Robert S. Strichartz	17
+	What Is Not in the Domain of the Laplacian on Sierpinski Gasket Type Fractals	1999	Oren Ben-Bassat Robert S. Strichartz Alexander Teplyaev	17
+	ANALYSIS ON FRACTALS (Cambridge Tracts in Mathematics 143) <i>By</i> J<scp>UN</scp> K<scp>IGAMI</scp>: 226 pp., £35.00, <scp>ISBN</scp> 0-521-79321-1 (Cambridge University Press, 2001). LECTURES ON ANALYSIS ON METRIC SPACES (Universitext) <i>By</i> J<scp>UHA</scp> H<scp>EINONEN</scp>: 140 pp., £27.00, <scp>ISBN</scp> 0-387-95104-0 (Springer, New York, 2001).	2002	K. J. Falconer	16
+ PDF Chat	Fractafolds based on the Sierpinski gasket and their spectra	2003	Robert S. Strichartz	16
+	Analysis on Fractals	2009	Jun Kigami	16
+	Spectral Analysis on Infinite Sierpiński Gaskets	1998	Alexander Teplyaev	15
+	On a spectral analysis for the Sierpinski gasket	1992	Masatoshi Fukushima T. Shima	14
+ PDF Chat	Brownian motion on the Sierpinski gasket	1988	Martin T. Barlow Edwin Perkins	14
+ PDF Chat	Brownian motion on nested fractals	1990	Tom Lindstrøm	13
+ PDF Chat	Fractals in the Large	1998	Robert S. Strichartz	12
+	Transition density estimates for Brownian motion on affine nested fractals	1994	Pat Fitzsimmons Ben Hambly Takashi Kumagai	12
+	Analysis on products of fractals	2004	Robert S. Strichartz	11
+	Calculus on the Sierpinski gasket I: polynomials, exponentials and power series	2004	Jonathan Needleman Robert S. Strichartz Alexander Teplyaev Po‐Lam Yung	10
+	Function spaces on fractals	2003	Robert S. Strichartz	10
+ PDF Chat	Harmonic calculus on p.c.f.\ self-similar sets	1993	Jun Kigami	10
+ PDF Chat	Random walks on fractal structures and percolation clusters	1983	R. Rammal G. Toulouse	10
+ PDF Chat	Brownian Motion and Harmonic Analysis on Sierpinski Carpets	1999	Martin T. Barlow Richard F. Bass	10
+ PDF Chat	Estimates for the resolvent kernel of the Laplacian on p.c.f. self-similar fractals and blowups	2011	Luke G. Rogers	9
+	Diffusions on fractals	1998	Martin T. Barlow	9
+	Pure Point Spectrum for the Laplacian on Unbounded Nested Fractals	2000	Christophe Sabot	9
+	Fractal differential equations on the Sierpinski gasket	1999	Kyallee Dalrymple Robert S. Strichartz Jade P. Vinson	9
+ PDF Chat	Spectral analysis on infinite Sierpiński fractafolds	2012	Robert S. Strichartz Alexander Teplyaev	9
+	Taylor Approximations on Sierpinski Gasket Type Fractals	2000	Robert S. Strichartz	8
+	None	2003	L. A. Malozemov Alexander Teplyaev	8
+	A fractal quantum mechanical model with Coulomb potential	2008	Robert S. Strichartz	8
+	The resolvent kernel for PCF self-similar fractals	2010	Marius Ionescu Erin P. J. Pearse Luke G. Rogers Huo-Jun Ruan Robert S. Strichartz	8
+	Spectral asymptotics for Laplacians on self-similar sets	2009	Naotaka Kajino	8
+ PDF Chat	Dirichlet Forms on Fractals and Products of Random Matrices	1989	Shigeo Kusuoka	8
+	Localized Eigenfunctions of the Laplacian on p.c.f. Self-Similar Sets	1997	Martin T. Barlow Jun Kigami	8
+	Analysis on Fractals	2001	Jun Kigami	7
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	7
+	Dirichlet Forms and Symmetric Markov Processes	2010	Masatoshi Fukushima Yōichi Ōshima Masayoshi Takeda	7
+ PDF Chat	Uniqueness of Brownian motion on Sierpi&#324ski carpets	2010	Martin T. Barlow Richard F. Bass Takashi Kumagai Alexander Teplyaev	7
+	Vibration modes of 3<i>n</i>-gaskets and other fractals	2007	N. BAJORIN Taoato Chen A. DAGAN C. EMMONS Mahmoud I. Hussein Michael A. Khalil P. MODY Benjamin Steinhurst Alexander Teplyaev	7
+ PDF Chat	Potential spaces on fractals	2005	Jiaxin Hu Martina Zähle	7
+	Partial differential equations on products of Sierpinski gaskets	2007	Brian Bockelman Robert S. Strichartz	7
+	Transition Density Estimates for Diffusion Processes on Post Critically Finite Self-Similar Fractals	1999	Ben Hambly Takashi Kumagai	7
+ PDF Chat	Physical consequences of complex dimensions of fractals	2009	Éric Akkermans Gerald V. Dunne Alexander Teplyaev	6
+	The construction of brownian motion on the Sierpinski carpet	1989	Martin T. Barlow Richard F. Bass	6
+	Differential one-forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs	2017	Fabrice Baudoin Daniel J. Kelleher	6
+	Some Properties of Laplacians on Fractals	1999	Robert S. Strichartz	6
+	Heat Kernels and Spectral Theory	1989	E. B. Davies	6
+	Heat kernel characterisation of Besov-Lipschitz spaces on metric measure spaces	2009	Katarzyna Pietruska-Pałuba	6
+ PDF Chat	Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals	1993	Jun Kigami Michel L. Lapidus	6
+ PDF Chat	A harmonic calculus on the Sierpinski spaces	1989	Jun Kigami	6
+	Dirac and magnetic Schrödinger operators on fractals	2013	Michael Hinz Alexander Teplyaev	6
+ PDF Chat	Transition densities for Brownian motion on the Sierpinski carpet	1992	Martin T. Barlow Richard F. Bass	6
+	Volume doubling measures and heat kernel estimates on self-similar sets	2009	Jun Kigami	5
+	Derivations and Dirichlet forms on fractals	2012	Marius Ionescu Luke G. Rogers Alexander Teplyaev	5
+ PDF Chat	FROM SELF-SIMILAR STRUCTURES TO SELF-SIMILAR GROUPS	2012	Daniel J. Kelleher Benjamin Steinhurst C.‐M. Michael Wong	5