Martin T. Barlow

Q: What Schools Are Affiliated With Martin T. Barlow

Martin T. Barlow is affiliated with the following schools: University of Sussex, University of British Columbia, University of Cambridge

Martin T. Barlow's AcademicInfluence.com Rankings

Martin T. Barlow

Mathematics

#3202

World Rank

#4779

Historical Rank

Measure Theory

#2449

World Rank

#2936

Historical Rank

mathematics Degrees

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Mathematics

Why Is Martin T. Barlow Influential?

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According to Wikipedia, Martin Thomas Barlow FRS FRSC is a British mathematician who is professor of mathematics at the University of British Columbia in Canada since 1992. History Barlow is the son of Andrew Dalmahoy Barlow and his wife Yvonne. He is thus the grandson of Alan Barlow, and his wife Nora , through whom he is a great-great-grandson of Charles Darwin. He is the nephew of Horace Barlow . In 1994 he married Colleen McLaughlin.

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Martin T. Barlow's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Brownian motion on the Sierpinski gasket (1988) (529)
Diffusions on fractals (1998) (395)
Brownian Motion and Harmonic Analysis on Sierpinski Carpets (1999) (312)
A DIFFUSION MODEL FOR ELECTRICITY PRICES (2002) (299)
Non-local dirichlet forms and symmetric jump processes (2006) (268)
The construction of brownian motion on the Sierpinski carpet (1989) (252)
Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times (1982) (215)
Random walks on supercritical percolation clusters (2003) (210)
Transition densities for Brownian motion on the Sierpinski carpet (1992) (172)
The Liouville Property and a Conjecture of De Giorgi (2000) (152)
Uniqueness of Brownian motion on Sierpinski carpets (2010) (141)
Stability of parabolic Harnack inequalities on metric measure spaces (2006) (140)
On Walsh's Brownian motions (1989) (135)
Manifolds and graphs with slow heat kernel decay (2001) (132)
Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs (2005) (126)
Invariance principle for the random conductance model with unbounded conductances. (2010) (122)
Heat kernel upper bounds for jump processes and the first exit time (2009) (112)
Stability of parabolic Harnack inequalities (2003) (108)
Study of a filtration expanded to include an honest time (1978) (105)
Random Walks and Heat Kernels on Graphs (2017) (95)
Random walk on the incipient infinite cluster on trees (2005) (95)
On the resistance of the Sierpiński carpet (1990) (95)
On the equivalence of parabolic Harnack inequalities and heat kernel estimates (2012) (94)
Localized Eigenfunctions of the Laplacian on p.c.f. Self‐Similar Sets (1997) (93)
Invariance principle for the random conductance model (2013) (90)
Which values of the volume growth and escape time exponent are possible for a graph (2004) (89)
Transition density estimates for Brownian motion on scale irregular Sierpinski gaskets (1997) (81)
Random Walk on the Incipient Infinite Cluster for Oriented Percolation in High Dimensions (2006) (79)
One Dimensional Stochastic Differential Equations with No Strong Solution (1982) (79)
Parabolic Harnack Inequality and Local Limit Theorem for Percolation Clusters (2008) (69)
(Semi-) martingale inequalities and local times (1981) (69)
Defining Fractal Subsets of Zd (1992) (67)
Necessary and Sufficient Conditions for the Continuity of Local Time of Levy Processes (1988) (65)
Convergence to fractional kinetics for random walks associated with unbounded conductances (2011) (64)
Degenerate stochastic differential equations and super-Markov chains (2002) (62)
Wiener-hopf factorization for matrices (1980) (61)
Collision Local Times and Measure-Valued Processes (1991) (56)
Fractional dimension of sets in discrete spaces (1989) (56)
One-dimensional stochastic differential equations involving a singular increasing process (1984) (53)
Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps (2007) (52)
Continuity of local times for Lévy processes (1985) (46)
Resistance and spectral dimension of Sierpinski carpets (1990) (46)
On Brownian local time (1981) (45)
Energy inequalities for cutoff functions and some applications (2012) (44)
On the Liouville Property for Divergence Form Operators (1998) (42)
Inequalities for a Pair of Processes Stopped at a Random Time (1986) (41)
Calibration of Multifactor Models in Electricity Markets (2003) (38)
Local times for Brownian motion on the Sierpinski carpet (1990) (38)
Stability of elliptic Harnack inequality (2016) (36)
Diffusion-limited aggregation on a tree (1997) (36)
Skew brownian motion and a one dimensional stochastic differential equation (1988) (32)
Coupling and Harnack inequalities for Sierpiński carpets (1993) (32)
Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree (2014) (30)
MULTIPLE WIENER‐ITO INTEGRALS (Lecture Notes in Mathematics, 849) (1982) (29)
Boundaries of planar graphs, via circle packings (2013) (29)
Heat Kernel Bounds (2017) (28)
Collisions of random walks (2010) (28)
Divergence Form Operators on Fractal-like Domains (2000) (27)
Some Remarks on the Elliptic Harnack Inequality (2003) (26)
Two uniform intrinsic constructions for the local time of a class of Lévy processes (1986) (26)
Spectral Dimension and Random Walks on the Two Dimensional Uniform Spanning Tree (2009) (25)
Symmetric Markov chains in ℤd: How fast can they move? (1989) (25)
Transition Density Asymptotics for Some Diffusion Processes with Multi-Fractal Structures (2001) (25)
Exponential tail bounds for loop-erased random walk in two dimensions (2009) (24)
Variably Skewed Brownian Motion (2000) (24)
Contemporary Mathematics Heat kernels and sets with fractal structure (2007) (21)
Markov Processes on Vermiculated Spaces (2007) (19)
Analysis on the Sierpinski carpet (2013) (19)
The Evolution of the Cover Time (2010) (18)
Comparison of quenched and annealed invariance principles for random conductance model (2013) (18)
On the Filtration of Historical Brownian Motion (1994) (16)
Fractals, and diffusion-limited aggregation (1993) (15)
Coalescence of Skew Brownian Motions (1999) (15)
The random conductance model with Cauchy tails. (2009) (14)
Gaussian bounds and parabolic Harnack inequality on locally irregular graphs (2016) (14)
Weak Homogenization of Anisotropic Diffusion on Pre-Sierpiński Carpets (1997) (12)
CONSTRUCTION OF A MARTINGALE WITH GIVEN ABSOLUTE VALUE (1981) (12)
Levels at which every Brownian excursion is exceptional (1984) (11)
Harmonic analysis on fractal spaces (1992) (10)
On some sample path properties of Skorohod integral processes (1992) (10)
On countable dense random sets (1981) (10)
Galactic exploration by directed self-replicating probes, and its implications for the Fermi paradox (2012) (10)
A branching process with contact tracing (2020) (10)
THE BEHAVIOUR AND CONSTRUCTION OF LOCAL TIMES FOR LEVY PROCESSES (1986) (9)
On convergence of semimartingales (1990) (9)
Anomalous diffusion and stability of Harnack inequalities (2004) (9)
Brownian motion at a slow point (1986) (8)
I – Loop Erased Walks and Uniform Spanning Trees (2016) (8)
Inequalities for upcrossings of semimartingales via skorohod embedding (1983) (7)
Strong existence, uniqueness and non-uniqueness in an equation involving local time (1983) (7)
Random Walks on Supercritical Percolation Clusters 1 (2004) (6)
Zero-one laws for the excursions and range of a Lévy process (1981) (6)
Boundary Harnack principle and elliptic Harnack inequality (2017) (6)
Sample path properties of stochastic integrals, and stochastic differentiation (1989) (6)
Harmonic morphisms and the resurrection of Markov processes (1991) (5)
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree (2021) (5)
Stability of EHI and regularity of MMD spaces (2020) (5)
Decomposition of Dirichlet processes on Hilbert space (1991) (4)
A maximal inequality for upcrossings of a continuous martingale (1984) (4)
Harnack inequalities and sub-Gaussian estimates for random walks (2018) (4)
Geometry of Uniform Spanning Forest Components in High Dimensions (2016) (4)
Tracking a Diffusion, and an Application to Weak Convergence (1986) (3)
L(Bt,t) is not a semimartingale (1982) (3)
Invariance principle for the random conductance model (2012) (2)
Discrete Geometric Analysis (2016) (2)
Some remarks on uniform boundary Harnack Principles (2015) (2)
Erratum to: Convergence to fractional kinetics for random walks associated with unbounded conductances (2011) (2)
Stochastic analysis : proceedings of the Durham Symposium on Stochastic Analysis, 1990 (1991) (2)
Stochastic Partial Dieren tial Equations (2003) (2)
Book Review: Lévy processes (1998) (1)
On pathwise uniqueness and expansion of filtrations (1990) (1)
Honest times and splitting times (1978) (1)
Comparison of quenched and annealed invariance principles for random conductance model (2015) (1)
INTRODUCTION TO STOCHASTIC INTEGRATION (Progress in Probability and Statistics, 4) (1986) (1)
POSITIVITY OF BROWNIAN TRANSITION DENSITIES (1997) (1)
On the left end points of Brownian excursions (1979) (1)
Limits on random measures and stochastic difference equations related to mixing array of random variables (1991) (1)
Random Walks and Electrical Resistance (2017) (0)
Le Bulletin Du Crm Le Mouvement Chaotique Du Système Solaire Jacques Laskar (observatoire De Paris) Random Graphs and Models of the Web Svante Janson (uppsala Universitet) (2009) (0)
Optimal shutdown strategies for COVID-19 with economic and mortality costs: BC as a case study (2020) (0)
PR ] 3 1 A ug 2 00 9 Uniqueness of Brownian motion on Sierpinski carpets (2009) (0)
Random walks on random graphs (2011) (0)
THE RANDOM CONDUCTANCE MODEL WITH CAUCHY TAILS 1 (2010) (0)
Irregularity of boundary points in the Dirichlet problem for the heat equation (1982) (0)
Analysis on the Sierpinski (2012) (0)
PR ] 5 A pr 2 00 4 DIFFUSION-LIMITED AGGREGATION ON A TREE by (2022) (0)
On the left endpoints of brownian excursions (1979) (0)
Some Boundary Harnack Principles with Uniform Constants (2021) (0)
Martin T. Barlow Interview (1984) (0)
RIMS-1713 On the equivalence of parabolic Harnack inequalities and heat kernel estimates By (2011) (0)
Analytic and Geometric Aspects of Stochastic Processes (2004) (0)
Recovery of a manifold by a Brownian traveller (1984) (0)
"Persistent vegetative state". (1990) (0)
The cortical demands of two kinds of perceptual task (2012) (0)
Isoperimetric Inequalities and Applications (2017) (0)
Continuous Time Random Walks (2017) (0)
Discrete Time Heat Kernel (2017) (0)
The ant in the labyrinth : random walks and percolation (2009) (0)
Correction : « $L(B_t,t)$ is not a semimartingale » (1983) (0)
Gaussian bounds and parabolic Harnack inequality on locally irregular graphs (2016) (0)
Local dimension and regular points (1992) (0)
Potential Theory and Harnack Inequalities (2017) (0)
Interplay of Random Media and Stochastic Interface Models (RMSI2018) (2018) (0)

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What Schools Are Affiliated With Martin T. Barlow?

Martin T. Barlow is affiliated with the following schools: