Martin T. Barlow

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All published works

Action	Title	Year	Authors
+	Optimal shutdown strategies for COVID-19 with economic and mortality costs: British Columbia as a case study	2021	Martin T. Barlow Noah Marshall Rebecca C. Tyson
+ PDF Chat	Some Boundary Harnack Principles with Uniform Constants	2021	Martin T. Barlow Deniz Karlı
+ PDF Chat	Some Boundary Harnack Principles with Uniform Constants	2021	Martin T. Barlow Deniz Karlı
+	Optimal shutdown strategies for COVID-19 with economic and mortality costs: BC as a case study	2020	Martin T. Barlow Noah Marshall Rebecca C. Tyson
+	Stability of EHI and regularity of MMD spaces	2020	Martin T. Barlow Zhen-Qing Chen Mathav Murugan
+	Stability of EHI and regularity of MMD spaces	2020	Martin T. Barlow Zhen-Qing Chen Mathav Murugan
+ PDF Chat	Boundary Harnack principle and elliptic Harnack inequality	2019	Martin T. Barlow Mathav Murugan
+ PDF Chat	Stability of the elliptic Harnack inequality	2018	Martin T. Barlow Mathav Murugan
+	Isoperimetric Inequalities and Applications	2017	Martin T. Barlow
+	Boundary Harnack principle and elliptic Harnack inequality	2017	Martin T. Barlow Mathav Murugan
+	Boundary Harnack principle and elliptic Harnack inequality	2017	Martin T. Barlow Mathav Murugan
+	Stability of elliptic Harnack inequality	2016	Martin T. Barlow Mathav Murugan
+	Boundaries of planar graphs, via circle packings	2016	Omer Angel Martin T. Barlow Ori Gurel-Gurevich Asaf Nachmias
+	Gaussian bounds and parabolic Harnack inequality on locally irregular graphs	2016	Martin T. Barlow Xinxing Chen
+	Stability of elliptic Harnack inequality	2016	Martin T. Barlow Mathav Murugan
+ PDF Chat	Energy inequalities for cutoff functions and some applications	2013	Sebastián Andrés Martin T. Barlow
+ PDF Chat	Analysis on the Sierpinski carpet	2013	Martin T. Barlow
+ PDF Chat	Erratum to: Convergence to fractional kinetics for random walks associated with unbounded conductances	2011	Martin T. Barlow Jǐŕı Černý
+ PDF Chat	Non-local Dirichlet forms and symmetric jump processes	2008	Martin T. Barlow Richard F. Bass Zhen-Qing Chen Moritz Kaßmann
+	Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps	2007	Martin T. Barlow Richard F. Bass Takashi Kumagai
+ PDF Chat	Stability of parabolic Harnack inequalities on metric measure spaces	2006	Martin T. Barlow Richard F. BASS Takashi Kumagai
+	Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs	2005	Martin T. Barlow Thierry Coulhoun Takashi Kumagai
+ PDF Chat	SOME REMARKS ON THE ELLIPTIC HARNACK INEQUALITY	2005	Martin T. Barlow
+	Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs	2005	Martin T. Barlow Thierry Coulhoun Takashi Kumagai
+	Markov processes on vermiculated spaces	2004	Martin T. Barlow Steven N. Evans
+	Analytic and Geometric Aspects of Stochastic Processes	2004	Martin T. Barlow Alexander Grigor’yan Elton P. Hsu
+ PDF Chat	Anomalous diffusion and stability of Harnack inequalities	2004	Martin T. Barlow
+ PDF Chat	Stability of parabolic Harnack inequalities	2003	Martin T. Barlow Richard F. Bass
+	Some remarks on the elliptic Harnack inequality	2003	Martin T. Barlow
+	Heat kernels and sets with fractal structure	2003	Martin T. Barlow
+ PDF Chat	Manifolds and graphs with slow heat kernel decay	2001	Martin T. Barlow Thierry Coulhon Alexander Grigor'yan
+ PDF Chat	Coalescence of Skew Brownian Motions	2001	Martin T. Barlow Krzysztof Burdzy Haya Kaspi Avi Mandelbaum
+ PDF Chat	Transition Density Asymptotics for Some Diffusion Processes with Multi-Fractal Structures	2001	Martin T. Barlow Takashi Kumagai
+	Markov processes on vermiculated spaces	2001	Martin T. Barlow Steven N. Evans
+	Divergence Form Operators on Fractal-like Domains	2000	Martin T. Barlow Richard F. Bass
+	The Liouville property and a conjecture of De Giorgi	2000	Martin T. Barlow Richard F. Bass Changfeng Gui
+ PDF Chat	Variably Skewed Brownian Motion	2000	Martin T. Barlow Krzysztof Burdzy Haya Kaspi Avi Mandelbaum
+	The Liouville property and a conjecture of De Giorgi	2000	Martin T. Barlow Richard F. Bass Changfeng Gui
+ PDF Chat	Brownian Motion and Harmonic Analysis on Sierpinski Carpets	1999	Martin T. Barlow Richard F. Bass
+ PDF Chat	On the Liouville Property for Divergence Form Operators	1998	Martin T. Barlow
+	Diffusions on fractals	1998	Martin T. Barlow
+ PDF Chat	Autour d'un théorème de tsirelson sur des filtrations Browniennes et non Browniennes	1998	Martin T. Barlow Michel Émery Frank B. Knight S. Song Marc Yor
+	Localized Eigenfunctions of the Laplacian on p.c.f. Self-Similar Sets	1997	Martin T. Barlow Jun Kigami
+	Weak Homogenization of Anisotropic Diffusion on Pre-Sierpi?ski Carpets	1997	Martin T. Barlow Kumiko Hattori Hiroshi Watanabe Tetsuya Hattori
+	Transition density estimates for Brownian motion on scale irregular Sierpinski gasket	1997	Martin T. Barlow
+ PDF Chat	Restoration of Isotropy on Fractals	1995	Martin T. Barlow Kumiko Hattori Tetsuya Hattori Hiroshi Watanabe
+	Coupling and Harnack inequalities for Sierpinski carpets	1993	Martin T. Barlow Richard F. Bass
+ PDF Chat	Coupling and Harnack inequalities for Sierpiński carpets	1993	Martin T. Barlow Richard F. Bass
+	Coupling and Harnack inequalities for Sierpinski carpets	1993	Martin T. Barlow Richard F. Bass
+ PDF Chat	Transition densities for Brownian motion on the Sierpinski carpet	1992	Martin T. Barlow Richard F. Bass
+	Local dimension and regular points	1992	Martin T. Barlow S. J. Taylor
+	Defining Fractal Subsets of <i>Z</i> <sup> <i>d</i> </sup>	1992	Martin T. Barlow S. J. Taylor
+	Harmonic analysis on fractal spaces	1992	Martin T. Barlow
+	On the resistance of the Sierpiński carpet	1990	Martin T. Barlow Richard F. Bass
+	Resistance and spectral dimension of Sierpinski carpets	1990	Martin T. Barlow Richard F. Bass J. D. Sherwood
+ PDF Chat	Local times for Brownian motion on the Sierpinski carpet	1990	Martin T. Barlow Richard F. Bass
+ PDF Chat	On convergence of semimartingales	1990	Martin T. Barlow Philip Protter
+	Registance and spectral dimension of Sierpinski carpets	1990	Martin T. Barlow
+	Sample path properties of stochastic integrals, and stochastic differentiation	1989	Martin T. Barlow Edwin Perkins
+	Fractional dimension of sets in discrete spaces	1989	Martin T. Barlow S. J. Taylor
+ PDF Chat	Symmetric Markov chains in ℤd: How fast can they move?	1989	Martin T. Barlow Edwin Perkins
+	The construction of brownian motion on the Sierpinski carpet	1989	Martin T. Barlow Richard F. Bass
+ PDF Chat	Une extension multidimensionnelle de la loi de l'arc sinus	1989	Martin T. Barlow Jim Pitman Marc Yor
+ PDF Chat	Brownian motion on the Sierpinski gasket	1988	Martin T. Barlow Edwin Perkins
+	Skew brownian motion and a one dimensional stochastic differential equation	1988	Martin T. Barlow
+ PDF Chat	Brownian motion at a slow point	1986	Martin T. Barlow Edwin Perkins
+	INTRODUCTION TO STOCHASTIC INTEGRATION (Progress in Probability and Statistics, 4)	1986	Martin T. Barlow
+ PDF Chat	Levels at which every Brownian excursion is exceptional	1984	Martin T. Barlow Edwin Perkins
+	One-dimensional stochastic differential equations involving a singular increasing process	1984	Martin T. Barlow Edwin Perkins
+ PDF Chat	Recovery of a manifold by a Brownian traveller	1984	Martin T. Barlow Gunnar A. Brosamler
+ PDF Chat	A maximal inequality for upcrossings of a continuous martingale	1984	Martin T. Barlow
+ PDF Chat	Strong existence, uniqueness and non-uniqueness in an equation involving local time	1983	Martin T. Barlow Edwin Perkins
+ PDF Chat	Inequalities for upcrossings of semimartingales via skorohod embedding	1983	Martin T. Barlow
+	Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times	1982	Martin T. Barlow Marc Yor
+	MULTIPLE WIENER-ITO INTEGRALS (Lecture Notes in Mathematics, 849)	1982	Martin T. Barlow
+	Irregularity of boundary points in the Dirichlet problem for the heat equation	1982	Martin T. Barlow N. A. Watson
+ PDF Chat	On countable dense random sets	1981	David Aldous Martin T. Barlow
+ PDF Chat	Wiener-hopf factorization for matrices	1980	Martin T. Barlow L. C. G. Rogers David Williams

Common Coauthors

Coauthor	Papers Together
Richard F. Bass	15
Mathav Murugan	8
Edwin Perkins	7
Takashi Kumagai	5
Zhen-Qing Chen	3
S. J. Taylor	3
Kumiko Hattori	2
Avi Mandelbaum	2
Noah Marshall	2
Changfeng Gui	2
Haya Kaspi	2
Steven N. Evans	2
Thierry Coulhoun	2
Tetsuya Hattori	2
Rebecca C. Tyson	2
Deniz Karlı	2
Hiroshi Watanabe	2
Krzysztof Burdzy	2
Omer Angel	1
David Aldous	1
Sebastián Andrés	1
L. C. G. Rogers	1
Richard F. BASS	1
Marc Yor	1
Alexander Grigor'yan	1
Marc Yor	1
Marc Yor	1
Elton P. Hsu	1
Jǐŕı Černý	1
Jim Pitman	1
Jun Kigami	1
J. D. Sherwood	1
David Williams	1
Xinxing Chen	1
Moritz Kaßmann	1
Frank B. Knight	1
Thierry Coulhon	1
Asaf Nachmias	1
N. A. Watson	1
Michel Émery	1
Ori Gurel-Gurevich	1
S. Song	1
Gunnar A. Brosamler	1
Philip Protter	1
Alexander Grigor’yan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A new proof of Moser's parabolic harnack inequality using the old ideas of Nash	1986	Eugene B. Fabes D. W. Stroock	16
+ PDF Chat	Brownian Motion and Harmonic Analysis on Sierpinski Carpets	1999	Martin T. Barlow Richard F. Bass	16
+	Dirichlet Forms and Symmetric Markov Processes	1994	Masatoshi Fukushima Yôichi Ôshima Masayoshi Takeda	14
+ PDF Chat	Brownian motion on the Sierpinski gasket	1988	Martin T. Barlow Edwin Perkins	13
+	Harnack inequalities and sub-Gaussian estimates for random walks	2002	Alexander Grigor’yan András Telcs	13
+ PDF Chat	Parabolic Harnack inequality and estimates of Markov chains on graphs	1999	Thierry Delmotte	12
+	THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS	1992	Alexander Grigor’yan	12
+	The construction of brownian motion on the Sierpinski carpet	1989	Martin T. Barlow Richard F. Bass	12
+ PDF Chat	On the relation between elliptic and parabolic Harnack inequalities	2001	Waldemar Hebisch Laurent Saloff‐Coste	12
+	Dirichlet Forms and Symmetric Markov Processes	2010	Masatoshi Fukushima Yōichi Ōshima Masayoshi Takeda	12
+ PDF Chat	Transition densities for Brownian motion on the Sierpinski carpet	1992	Martin T. Barlow Richard F. Bass	12
+	None	1992	Laurent Saloff‐Coste	11
+ PDF Chat	Brownian motion on nested fractals	1990	Tom Lindstrøm	11
+	On the resistance of the Sierpiński carpet	1990	Martin T. Barlow Richard F. Bass	10
+ PDF Chat	Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets	1990	Hirofumi Osada	10
+	None	2002	Thierry Delmotte	9
+ PDF Chat	Stability of parabolic Harnack inequalities	2003	Martin T. Barlow Richard F. Bass	9
+ PDF Chat	Sub-Gaussian estimates of heat kernels on infinite graphs	2001	Alexander Grigor’yan András Telcs	8
+	On a pointwise estimate for parabolic differential equations	1971	J. Moser	8
+ PDF Chat	Random walks on fractal structures and percolation clusters	1983	R. Rammal G. Toulouse	8
+	Analysis on local Dirichlet spaces. III. The parabolic Harnack inequality	1996	Karl‐Theodor Sturm	8
+ PDF Chat	Upper Bounds for Symmetric Markov Transition Functions.	1986	Eric A. Carlen Seiichiro Kusuoka D. W. Stroock	8
+ PDF Chat	Diffusion in disordered media	1987	Shlomo Havlin Daniel ben‐Avraham	8
+ PDF Chat	Dirichlet forms on fractals: Poincaré constant and resistance	1992	Shigeo Kusuoka Zhou Xian Yin	8
+	Transition probabilities for the simple random walk on the Sierpinski graph	1996	Owen Dafydd Jones	8
+	On the equivalence of parabolic Harnack inequalities and heat kernel estimates	2012	Martin T. Barlow Alexander Grigor’yan Takashi Kumagai	7
+ PDF Chat	Diffusion in disordered media	2002	Shlomo Havlin Daniel ben‐Avraham	7
+ PDF Chat	Random Walks and Electric Networks	1984	Peter G. Doyle J. Laurie Snell	7
+ PDF Chat	Local times for Brownian motion on the Sierpinski carpet	1990	Martin T. Barlow Richard F. Bass	7
+ PDF Chat	Bounds for the fundamental solution of a parabolic equation	1967	D. G. Aronson	7
+ PDF Chat	Dirichlet Forms on Fractals and Products of Random Matrices	1989	Shigeo Kusuoka	7
+	Diffusion Processes and Their Sample Paths.	1996	PALE Kiyosi Itô H. P. McKean	7
+ PDF Chat	Estimates of transition densities for Brownian motion on nested fractals	1993	Takashi Kumagai	7
+	On Harnack's theorem for elliptic differential equations	1961	Jürgen Moser	6
+ PDF Chat	Which values of the volume growth and escape time exponent are possible for a graph?	2004	Martin T. Barlow	6
+	A harnack inequality for parabolic differential equations	1964	Jürgen Moser	6
+ PDF Chat	Some Potential Theory for Reflecting Brownian Motion in Holder and Lipschitz Domains	1991	Richard F. Bass Pei Hsu	6
+ PDF Chat	Manifolds and graphs with slow heat kernel decay	2001	Martin T. Barlow Thierry Coulhon Alexander Grigor'yan	6
+ PDF Chat	On Skew Brownian Motion	1981	J. Michael Harrison L. A. Shepp	6
+	Exact fractals with adjustable fractal and fracton dimensionalities	1983	Daniel ben‐Avraham Shlomo Havlin	6
+ PDF Chat	A harmonic calculus on the Sierpinski spaces	1989	Jun Kigami	6
+	Aspects of Sobolev-Type Inequalities	2001	Laurent Saloff‐Coste	6
+ PDF Chat	Variétés riemanniennes isométriques à l'infini	1995	Thierry Coulhon Laurent Saloff‐Coste	6
+	<i>The Fractal Geometry of Nature</i>	1983	Benoît B. Mandelbrot John Wheeler	6
+	Long range estimates for markov chains	1985	N. Th. Varopoulos	5
+	Resistance and spectral dimension of Sierpinski carpets	1990	Martin T. Barlow Richard F. Bass J. D. Sherwood	5
+ PDF Chat	Rough isometries, and combinatorial approximations of geometries of non ∙ compact riemannian manifolds	1985	Masahiko Kanai	5
+	The Poincaré inequality for vector fields satisfying Hörmander’s condition	1986	David Jerison	5
+	Composite Media and Asymptotic Dirichlet Forms	1994	U. Mosco	5
+ PDF Chat	Boundary Harnack principle and Martin boundary for a uniform domain	2001	Hiroaki Aikawa	5