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Barlow, Martin T.

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Author ID: barlow.martin-t Recent zbMATH articles by "Barlow, Martin T."
Published as: Barlow, Martin T.; Barlow, M. T.; Barlow, Martin
External Links: IdRef · MGP · Wikidata · GND
Documents Indexed: 116 Publications since 1978, including 5 Books
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Serials

10 Probability Theory and Related Fields
8 The Annals of Probability
7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Canadian Journal of Mathematics
3 Communications in Mathematical Physics
3 Journal of the Mathematical Society of Japan
3 Transactions of the American Mathematical Society
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Communications on Pure and Applied Mathematics
2 Stochastics
2 Illinois Journal of Mathematics
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 Journal für die Reine und Angewandte Mathematik
2 Proceedings of the London Mathematical Society. Third Series
2 Journal of Physics A: Mathematical and General
2 Electronic Journal of Probability
2 Electronic Communications in Probability
2 London Mathematical Society Lecture Note Series
1 Advances in Applied Probability
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Bulletin of the London Mathematical Society
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Inventiones Mathematicae
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Revista Matemática Iberoamericana
1 The Annals of Applied Probability
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Bulletin of the American Mathematical Society. New Series
1 Stochastics and Stochastics Reports
1 Combinatorics, Probability and Computing
1 Mathematical Finance
1 International Journal of Theoretical and Applied Finance
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Lecture Notes in Mathematics
1 MSJ Memoirs
1 Springer Proceedings in Mathematics & Statistics

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 2,187 times in 1,276 Documents Cited by Year
Brownian motion on the Sierpinski gasket. Zbl 0635.60090
Barlow, Martin T.; Perkins, Edwin A.
197
1988
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
113
2009
Diffusions on fractals. Zbl 0916.60069
Barlow, Martin T.
110
1998
Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071
Barlow, Martin T.; Bass, Richard F.
108
1999
Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times. Zbl 0505.60054
Barlow, M. T.; Yor, M.
81
1982
The construction of Brownian motion on the Sierpinski carpet. Zbl 0691.60070
Barlow, Martin T.; Bass, Richard F.
80
1989
Random walks on supercritical percolation clusters. Zbl 1067.60101
Barlow, Martin T.
75
2004
Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071
Barlow, Martin T.; Bass, Richard F.
58
1992
The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526
Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng
53
2000
Stability of parabolic Harnack inequalities on metric measure spaces. Zbl 1102.60064
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi
51
2006
Heat kernel upper bounds for jump processes and the first exit time. Zbl 1158.60039
Barlow, Martin T.; Grigor’yan, Alexander; Kumagai, Takashi
49
2009
Invariance principle for the random conductance model with unbounded conductances. Zbl 1189.60187
Barlow, M. T.; Deuschel, J.-D.
44
2010
Uniqueness of Brownian motion on Sierpiński carpets. Zbl 1200.60070
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi; Teplyaev, Alexander
43
2010
Localized eigenfunctions of the Laplacian on p. c. f. self-similar sets. Zbl 0904.35064
Barlow, Martin T.; Kigami, Jun
40
1997
On Walsh’s Brownian motions. Zbl 0747.60072
Barlow, Martin; Pitman, Jim; Yor, Marc
38
1989
On the equivalence of parabolic Harnack inequalities and heat kernel estimates. Zbl 1281.58016
Barlow, Martin T.; Grigor’yan, Alexander; Kumagai, Takashi
35
2012
A multi- dimensional extension of the arcsine law. (Une extension multidimensionnelle de la loi de l’arc sinus.) Zbl 0738.60072
Barlow, Martin; Pitman, Jim; Yor, Marc
35
1989
Stability of parabolic Harnack inequalities. Zbl 1034.60070
Barlow, Martin T.; Bass, Richard F.
35
2004
A diffusion model for electricity prices. Zbl 1046.91041
Barlow, M. T.
34
2002
Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060
Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi
34
2005
Random walk on the incipient infinite cluster on trees. Zbl 1110.60090
Barlow, Martin T.; Kumagai, Takashi
34
2006
Study of a filtration expanded to include an honest time. Zbl 0369.60047
Barlow, M. T.
32
1978
Invariance principle for the random conductance model. Zbl 1356.60174
Andres, S.; Barlow, M. T.; Deuschel, J.-D.; Hambly, B. M.
31
2013
Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025
Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander
31
2001
Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053
Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A.
30
2002
Which values of the volume growth and escape time exponent are possible for a graph? Zbl 1051.60071
Barlow, Martin T.
30
2004
Parabolic Harnack inequality and local limit theorem for percolation clusters. Zbl 1192.60107
Hambly, Ben M.; Barlow, Martin T.
28
2009
Random walk on the incipient infinite cluster for oriented percolation in high dimensions. Zbl 1144.82030
Barlow, Martin T.; Járai, Antal A.; Kumagai, Takashi; Slade, Gordon
27
2008
(Semi-) martingale inequalities and local times. Zbl 0451.60050
Barlow, M. T.; Yor, M.
26
1981
On the resistance of the Sierpiński carpet. Zbl 0729.60108
Barlow, M. T.; Bass, R. F.
25
1990
Necessary and sufficient conditions for the continuity of local time of Lévy processes. Zbl 0666.60072
Barlow, M. T.
23
1988
One dimensional stochastic differential equations with no strong solution. Zbl 0456.60062
Barlow, M. T.
22
1982
Transition density estimates for Brownian motion on scale irregular Sierpiński gaskets. Zbl 0903.60072
Barlow, M. T.; Hambly, B. M.
20
1997
Collision local times and measure-valued processes. Zbl 0765.60044
Barlow, Martin T.; Evans, Steven N.; Perkins, Edwin A.
19
1991
Defining fractal subsets of \(\mathbb{Z}{}^ d\). Zbl 0753.28006
Barlow, Martin T.; Taylor, S. James
19
1992
Convergence to fractional kinetics for random walks associated with unbounded conductances. Zbl 1227.60112
Barlow, Martin T.; Černý, Jiří
18
2011
Random walks and heat kernels on graphs. Zbl 1365.05002
Barlow, Martin T.
17
2017
One-dimensional stochastic differential equations involving a singular increasing process. Zbl 0543.60065
Barlow, M. T.; Perkins, E.
17
1984
Random walks on graphical Sierpinski carpets. Zbl 0958.60045
Barlow, Martin T.; Bass, Richard F.
16
1999
On a theorem of Tsirelson with respect to Brownian and non-Brownian filtrations. (Autour d’un théorème de Tsirelson sur des filtrations browniennes et non browniennes.) Zbl 0914.60064
Barlow, M. T.; Émery, M.; Knight, F. B.; Song, S.; Yor, M.
16
1998
Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps. Zbl 1159.60021
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi
16
2009
Fractional dimension of sets in discrete spaces. Zbl 0687.60088
Barlow, M. T.; Taylor, S. J.
16
1989
Energy inequalities for cutoff functions and some applications. Zbl 1347.31003
Andres, Sebastian; Barlow, Martin T.
15
2015
Random walks, electrical resistance, and nested fractals. Zbl 0791.60097
Barlow, M. T.
14
1993
On the Liouville property for divergence form operators. Zbl 0912.31004
Barlow, Martin T.
13
1998
Inequalities for a pair of processes stopped at a random time. Zbl 0585.60055
Barlow, M. T.; Jacka, S. D.; Yor, M.
13
1986
Boundaries of planar graphs, via circle packings. Zbl 1339.05061
Angel, Omer; Barlow, Martin T.; Gurel-Gurevich, Ori; Nachmias, Asaf
12
2016
Local times for Brownian motion on the Sierpinski carpet. Zbl 0685.60076
Barlow, Martin T.; Bass, Richard F.
12
1990
Resistance and spectral dimension of Sierpinski carpets. Zbl 0717.58031
Barlow, M. T.; Bass, R. F.; Sherwood, J. D.
12
1990
Collisions of random walks. Zbl 1285.60073
Barlow, Martin T.; Peres, Yuval; Sousi, Perla
11
2012
Exponential tail bounds for loop-erased random walk in two dimensions. Zbl 1207.60035
Barlow, Martin T.; Masson, Robert
11
2010
Continuity of local times for Lévy processes. Zbl 0561.60076
Barlow, M. T.
11
1985
Skew Brownian motion and a one dimensional stochastic differential equation. Zbl 0657.60075
Barlow, M. T.
11
1988
Coupling and Harnack inequalities for Sierpinski carpets. Zbl 0782.60017
Barlow, Martin T.; Bass, Richard F.
10
1993
Symmetric Markov chains in \({\mathbb{Z}}^ 4:\) How fast can they move? Zbl 0667.60070
Barlow, Martin T.; Perkins, Edwin A.
10
1989
Divergence form operators on fractal-like domains. Zbl 0968.58022
Barlow, Martin T.; Bass, Richard F.
9
2000
Variably skewed Brownian motion. Zbl 0949.60090
Barlow, Martin; Burdzy, Krzysztof; Kaspi, Haya; Mandelbaum, Avi
8
2000
Heat kernels and sets with fractal structure. Zbl 1056.60072
Barlow, Martin T.
8
2003
Construction of a martingale with given absolute value. Zbl 0484.60037
Barlow, M. T.
8
1981
Analysis on the Sierpiński carpet. Zbl 1280.28009
Barlow, M. T.
7
2013
Diffusion-limited aggregation on a tree. Zbl 0866.60093
Barlow, Martin T.; Pemantle, Robin; Perkins, Edwin A.
7
1997
Some remarks on the elliptic Harnack inequality. Zbl 1067.31002
Barlow, Martin T.
7
2005
Calibration of multifactor models in electricity markets. Zbl 1107.91307
Barlow, Martin; Gusev, Yuri; Lai, Manpo
7
2004
Wiener-Hopf factorization for matrices. Zbl 0429.15007
Barlow, M. T.; Rogers, L. C. G.; Williams, David
7
1980
Application de l’entropie métrique à la continuité des temps locaux des processus de Lévy (Application of the entropy for the continuity of the local times of Lévy processes). Zbl 0584.60087
Barlow, Martin T.; Hawkes, John
7
1985
Spectral dimension and random walks on the two dimensional uniform spanning tree. Zbl 1223.05285
Barlow, Martin T.; Masson, Robert
6
2011
The evolution of the cover time. Zbl 1226.05230
Barlow, Martin T.; Ding, Jian; Nachmias, Asaf; Peres, Yuval
6
2011
Two uniform intrinsic constructions for the local time of a class of Lévy processes. Zbl 0571.60082
Barlow, Martin T.; Perkins, Edwin A.; Taylor, S. James
6
1986
Transition density asymptotics for some diffusion processes with multi-fractal structures. Zbl 0974.60061
Barlow, Martin T.; Kumagai, Takashi
6
2001
Coalescence of skew Brownian motions. Zbl 0977.60074
Barlow, Martin; Burdzy, Krzysztof; Kaspi, Haya; Mandelbaum, Avi
6
2001
Comparison of quenched and annealed invariance principles for random conductance model. Zbl 1335.60048
Barlow, Martin; Burdzy, Krzysztof; Timár, Ádám
6
2016
Stability of the elliptic Harnack inequality. Zbl 1450.35131
Barlow, Martin; Murugan, Mathav
6
2018
Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree. Zbl 1377.60022
Barlow, M. T.; Croydon, D. A.; Kumagai, T.
6
2017
Markov processes on vermiculated spaces. Zbl 1056.60071
Barlow, Martin T.; Evans, Steven N.
5
2004
Random walks and diffusions on fractals. Zbl 0751.60073
Barlow, Martin T.
5
1991
Lectures on probability theory and statistics. Ecole d’Eté de probabilités de Saint-Flour XXV - 1995. Lectures given at the summer school in Saint-Flour, France, July 10-26, 1995. Zbl 0894.00045
Barlow, Martin T.; Nualart, David; Bernard, P. (ed.)
5
1998
On convergence of semimartingales. Zbl 0703.60041
Barlow, Martin T.; Protter, Philip
5
1990
Sur la construction d’une martingale continue, de valeur absolue donnée. Zbl 0426.60047
Barlow, M. T.; Yor, M.
5
1980
On the filtration of historical Brownian motion. Zbl 0816.60044
Barlow, Martin T.; Perkins, Edwin A.
4
1994
Harmonic analysis on fractal spaces. Zbl 0798.58079
Barlow, Martin
4
1992
The random conductance model with Cauchy tails. Zbl 1196.60173
Barlow, Martin T.; Zheng, Xinghua
4
2010
Comparison of quenched and annealed invariance principles for random conductance model. II. Zbl 1337.60040
Barlow, Martin; Burdzy, Krzysztof; Timár, Adám
4
2015
Brownian motion at a slow point. Zbl 0602.60041
Barlow, Martin T.; Perkins, Edwin A.
4
1986
On some sample path properties of Skorohod integral processes. Zbl 0761.60047
Barlow, Martin T.; Imkeller, Peter
3
1992
Fractals and diffusion-limited aggregation. (Round table on fractals). Zbl 0776.28002
Barlow, M. T.
3
1993
Weak homogenization of anisotropic diffusion on pre-Sierpiński carpets. Zbl 0882.60098
Barlow, Martin T.; Hattori, Kumiko; Hattori, Tetsuya; Watanabe, Hiroshi
3
1997
Gaussian bounds and parabolic Harnack inequality on locally irregular graphs. Zbl 1352.60126
Barlow, Martin T.; Chen, Xinxing
3
2016
Levels at which every Brownian excursion is exceptional. Zbl 0555.60050
Barlow, M. T.; Perkins, E.
3
1984
Erratum to: Convergence to fractional kinetics for random walks associated with unbounded conductances. Zbl 1238.60114
Barlow, Martin T.; Černý, Jiří
2
2011
Anomalous diffusion and stability of Harnack inequalities. Zbl 1070.53039
Barlow, Martin T.
2
2004
Boundary Harnack principle and elliptic Harnack inequality. Zbl 1422.31006
Barlow, Martin T.; Murugan, Mathav
2
2019
Loop erased walks and uniform spanning trees. Zbl 1343.05139
Barlow, Martin T.
2
2016
Inequalities for upcrossings of semimartingales via Skorohod embedding. Zbl 0525.60058
Barlow, M. T.
2
1983
Sample path properties of stochastic integrals, and stochastic differentiation. Zbl 0689.60050
Barlow, Martin T.; Perkins, Edwin A.
2
1989
Zero-one laws for the excursions and range of a Levy process. Zbl 0438.60029
Barlow, M. T.
2
1981
L(\(B_ t,\)t) is not a semimartingale. Zbl 0479.60082
Barlow, M. T.
2
1982
Tracking a diffusion, and an application to weak convergence. Zbl 0622.60058
Barlow, M. T.; Jacka, S. D.
2
1986
A maximal inequality for upcrossings of a continuous martingale. Zbl 0571.60059
Barlow, M. T.
1
1984
On pathwise uniqueness and expansion of filtrations. Zbl 0706.60058
Barlow, Martin T.; Perkins, Edwin A.
1
1990
Geometry of uniform spanning forest components in high dimensions. Zbl 07131210
Barlow, Martin T.; Járai, Antal A.
1
2019
Boundary Harnack principle and elliptic Harnack inequality. Zbl 1422.31006
Barlow, Martin T.; Murugan, Mathav
2
2019
Geometry of uniform spanning forest components in high dimensions. Zbl 07131210
Barlow, Martin T.; Járai, Antal A.
1
2019
Stability of the elliptic Harnack inequality. Zbl 1450.35131
Barlow, Martin; Murugan, Mathav
6
2018
Random walks and heat kernels on graphs. Zbl 1365.05002
Barlow, Martin T.
17
2017
Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree. Zbl 1377.60022
Barlow, M. T.; Croydon, D. A.; Kumagai, T.
6
2017
Boundaries of planar graphs, via circle packings. Zbl 1339.05061
Angel, Omer; Barlow, Martin T.; Gurel-Gurevich, Ori; Nachmias, Asaf
12
2016
Comparison of quenched and annealed invariance principles for random conductance model. Zbl 1335.60048
Barlow, Martin; Burdzy, Krzysztof; Timár, Ádám
6
2016
Gaussian bounds and parabolic Harnack inequality on locally irregular graphs. Zbl 1352.60126
Barlow, Martin T.; Chen, Xinxing
3
2016
Loop erased walks and uniform spanning trees. Zbl 1343.05139
Barlow, Martin T.
2
2016
Energy inequalities for cutoff functions and some applications. Zbl 1347.31003
Andres, Sebastian; Barlow, Martin T.
15
2015
Comparison of quenched and annealed invariance principles for random conductance model. II. Zbl 1337.60040
Barlow, Martin; Burdzy, Krzysztof; Timár, Adám
4
2015
Invariance principle for the random conductance model. Zbl 1356.60174
Andres, S.; Barlow, M. T.; Deuschel, J.-D.; Hambly, B. M.
31
2013
Analysis on the Sierpiński carpet. Zbl 1280.28009
Barlow, M. T.
7
2013
On the equivalence of parabolic Harnack inequalities and heat kernel estimates. Zbl 1281.58016
Barlow, Martin T.; Grigor’yan, Alexander; Kumagai, Takashi
35
2012
Collisions of random walks. Zbl 1285.60073
Barlow, Martin T.; Peres, Yuval; Sousi, Perla
11
2012
Convergence to fractional kinetics for random walks associated with unbounded conductances. Zbl 1227.60112
Barlow, Martin T.; Černý, Jiří
18
2011
Spectral dimension and random walks on the two dimensional uniform spanning tree. Zbl 1223.05285
Barlow, Martin T.; Masson, Robert
6
2011
The evolution of the cover time. Zbl 1226.05230
Barlow, Martin T.; Ding, Jian; Nachmias, Asaf; Peres, Yuval
6
2011
Erratum to: Convergence to fractional kinetics for random walks associated with unbounded conductances. Zbl 1238.60114
Barlow, Martin T.; Černý, Jiří
2
2011
Invariance principle for the random conductance model with unbounded conductances. Zbl 1189.60187
Barlow, M. T.; Deuschel, J.-D.
44
2010
Uniqueness of Brownian motion on Sierpiński carpets. Zbl 1200.60070
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi; Teplyaev, Alexander
43
2010
Exponential tail bounds for loop-erased random walk in two dimensions. Zbl 1207.60035
Barlow, Martin T.; Masson, Robert
11
2010
The random conductance model with Cauchy tails. Zbl 1196.60173
Barlow, Martin T.; Zheng, Xinghua
4
2010
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
113
2009
Heat kernel upper bounds for jump processes and the first exit time. Zbl 1158.60039
Barlow, Martin T.; Grigor’yan, Alexander; Kumagai, Takashi
49
2009
Parabolic Harnack inequality and local limit theorem for percolation clusters. Zbl 1192.60107
Hambly, Ben M.; Barlow, Martin T.
28
2009
Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps. Zbl 1159.60021
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi
16
2009
Random walk on the incipient infinite cluster for oriented percolation in high dimensions. Zbl 1144.82030
Barlow, Martin T.; Járai, Antal A.; Kumagai, Takashi; Slade, Gordon
27
2008
Stability of parabolic Harnack inequalities on metric measure spaces. Zbl 1102.60064
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi
51
2006
Random walk on the incipient infinite cluster on trees. Zbl 1110.60090
Barlow, Martin T.; Kumagai, Takashi
34
2006
Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060
Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi
34
2005
Some remarks on the elliptic Harnack inequality. Zbl 1067.31002
Barlow, Martin T.
7
2005
Random walks on supercritical percolation clusters. Zbl 1067.60101
Barlow, Martin T.
75
2004
Stability of parabolic Harnack inequalities. Zbl 1034.60070
Barlow, Martin T.; Bass, Richard F.
35
2004
Which values of the volume growth and escape time exponent are possible for a graph? Zbl 1051.60071
Barlow, Martin T.
30
2004
Calibration of multifactor models in electricity markets. Zbl 1107.91307
Barlow, Martin; Gusev, Yuri; Lai, Manpo
7
2004
Markov processes on vermiculated spaces. Zbl 1056.60071
Barlow, Martin T.; Evans, Steven N.
5
2004
Anomalous diffusion and stability of Harnack inequalities. Zbl 1070.53039
Barlow, Martin T.
2
2004
Heat kernels and sets with fractal structure. Zbl 1056.60072
Barlow, Martin T.
8
2003
A diffusion model for electricity prices. Zbl 1046.91041
Barlow, M. T.
34
2002
Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053
Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A.
30
2002
Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025
Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander
31
2001
Transition density asymptotics for some diffusion processes with multi-fractal structures. Zbl 0974.60061
Barlow, Martin T.; Kumagai, Takashi
6
2001
Coalescence of skew Brownian motions. Zbl 0977.60074
Barlow, Martin; Burdzy, Krzysztof; Kaspi, Haya; Mandelbaum, Avi
6
2001
The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526
Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng
53
2000
Divergence form operators on fractal-like domains. Zbl 0968.58022
Barlow, Martin T.; Bass, Richard F.
9
2000
Variably skewed Brownian motion. Zbl 0949.60090
Barlow, Martin; Burdzy, Krzysztof; Kaspi, Haya; Mandelbaum, Avi
8
2000
Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071
Barlow, Martin T.; Bass, Richard F.
108
1999
Random walks on graphical Sierpinski carpets. Zbl 0958.60045
Barlow, Martin T.; Bass, Richard F.
16
1999
Diffusions on fractals. Zbl 0916.60069
Barlow, Martin T.
110
1998
On a theorem of Tsirelson with respect to Brownian and non-Brownian filtrations. (Autour d’un théorème de Tsirelson sur des filtrations browniennes et non browniennes.) Zbl 0914.60064
Barlow, M. T.; Émery, M.; Knight, F. B.; Song, S.; Yor, M.
16
1998
On the Liouville property for divergence form operators. Zbl 0912.31004
Barlow, Martin T.
13
1998
Lectures on probability theory and statistics. Ecole d’Eté de probabilités de Saint-Flour XXV - 1995. Lectures given at the summer school in Saint-Flour, France, July 10-26, 1995. Zbl 0894.00045
Barlow, Martin T.; Nualart, David; Bernard, P.
5
1998
Localized eigenfunctions of the Laplacian on p. c. f. self-similar sets. Zbl 0904.35064
Barlow, Martin T.; Kigami, Jun
40
1997
Transition density estimates for Brownian motion on scale irregular Sierpiński gaskets. Zbl 0903.60072
Barlow, M. T.; Hambly, B. M.
20
1997
Diffusion-limited aggregation on a tree. Zbl 0866.60093
Barlow, Martin T.; Pemantle, Robin; Perkins, Edwin A.
7
1997
Weak homogenization of anisotropic diffusion on pre-Sierpiński carpets. Zbl 0882.60098
Barlow, Martin T.; Hattori, Kumiko; Hattori, Tetsuya; Watanabe, Hiroshi
3
1997
On the filtration of historical Brownian motion. Zbl 0816.60044
Barlow, Martin T.; Perkins, Edwin A.
4
1994
Random walks, electrical resistance, and nested fractals. Zbl 0791.60097
Barlow, M. T.
14
1993
Coupling and Harnack inequalities for Sierpinski carpets. Zbl 0782.60017
Barlow, Martin T.; Bass, Richard F.
10
1993
Fractals and diffusion-limited aggregation. (Round table on fractals). Zbl 0776.28002
Barlow, M. T.
3
1993
Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071
Barlow, Martin T.; Bass, Richard F.
58
1992
Defining fractal subsets of \(\mathbb{Z}{}^ d\). Zbl 0753.28006
Barlow, Martin T.; Taylor, S. James
19
1992
Harmonic analysis on fractal spaces. Zbl 0798.58079
Barlow, Martin
4
1992
On some sample path properties of Skorohod integral processes. Zbl 0761.60047
Barlow, Martin T.; Imkeller, Peter
3
1992
Collision local times and measure-valued processes. Zbl 0765.60044
Barlow, Martin T.; Evans, Steven N.; Perkins, Edwin A.
19
1991
Random walks and diffusions on fractals. Zbl 0751.60073
Barlow, Martin T.
5
1991
On the resistance of the Sierpiński carpet. Zbl 0729.60108
Barlow, M. T.; Bass, R. F.
25
1990
Local times for Brownian motion on the Sierpinski carpet. Zbl 0685.60076
Barlow, Martin T.; Bass, Richard F.
12
1990
Resistance and spectral dimension of Sierpinski carpets. Zbl 0717.58031
Barlow, M. T.; Bass, R. F.; Sherwood, J. D.
12
1990
On convergence of semimartingales. Zbl 0703.60041
Barlow, Martin T.; Protter, Philip
5
1990
On pathwise uniqueness and expansion of filtrations. Zbl 0706.60058
Barlow, Martin T.; Perkins, Edwin A.
1
1990
The construction of Brownian motion on the Sierpinski carpet. Zbl 0691.60070
Barlow, Martin T.; Bass, Richard F.
80
1989
On Walsh’s Brownian motions. Zbl 0747.60072
Barlow, Martin; Pitman, Jim; Yor, Marc
38
1989
A multi- dimensional extension of the arcsine law. (Une extension multidimensionnelle de la loi de l’arc sinus.) Zbl 0738.60072
Barlow, Martin; Pitman, Jim; Yor, Marc
35
1989
Fractional dimension of sets in discrete spaces. Zbl 0687.60088
Barlow, M. T.; Taylor, S. J.
16
1989
Symmetric Markov chains in \({\mathbb{Z}}^ 4:\) How fast can they move? Zbl 0667.60070
Barlow, Martin T.; Perkins, Edwin A.
10
1989
Sample path properties of stochastic integrals, and stochastic differentiation. Zbl 0689.60050
Barlow, Martin T.; Perkins, Edwin A.
2
1989
Brownian motion on the Sierpinski gasket. Zbl 0635.60090
Barlow, Martin T.; Perkins, Edwin A.
197
1988
Necessary and sufficient conditions for the continuity of local time of Lévy processes. Zbl 0666.60072
Barlow, M. T.
23
1988
Skew Brownian motion and a one dimensional stochastic differential equation. Zbl 0657.60075
Barlow, M. T.
11
1988
Inequalities for a pair of processes stopped at a random time. Zbl 0585.60055
Barlow, M. T.; Jacka, S. D.; Yor, M.
13
1986
Two uniform intrinsic constructions for the local time of a class of Lévy processes. Zbl 0571.60082
Barlow, Martin T.; Perkins, Edwin A.; Taylor, S. James
6
1986
Brownian motion at a slow point. Zbl 0602.60041
Barlow, Martin T.; Perkins, Edwin A.
4
1986
Tracking a diffusion, and an application to weak convergence. Zbl 0622.60058
Barlow, M. T.; Jacka, S. D.
2
1986
Continuity of local times for Lévy processes. Zbl 0561.60076
Barlow, M. T.
11
1985
Application de l’entropie métrique à la continuité des temps locaux des processus de Lévy (Application of the entropy for the continuity of the local times of Lévy processes). Zbl 0584.60087
Barlow, Martin T.; Hawkes, John
7
1985
One-dimensional stochastic differential equations involving a singular increasing process. Zbl 0543.60065
Barlow, M. T.; Perkins, E.
17
1984
Levels at which every Brownian excursion is exceptional. Zbl 0555.60050
Barlow, M. T.; Perkins, E.
3
1984
A maximal inequality for upcrossings of a continuous martingale. Zbl 0571.60059
Barlow, M. T.
1
1984
Inequalities for upcrossings of semimartingales via Skorohod embedding. Zbl 0525.60058
Barlow, M. T.
2
1983
Strong existence, uniqueness and non-uniqueness in an equation involving local time. Zbl 0527.60075
Barlow, M. T.; Perkins, E.
1
1983
Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times. Zbl 0505.60054
Barlow, M. T.; Yor, M.
81
1982
One dimensional stochastic differential equations with no strong solution. Zbl 0456.60062
Barlow, M. T.
22
1982
L(\(B_ t,\)t) is not a semimartingale. Zbl 0479.60082
Barlow, M. T.
2
1982
(Semi-) martingale inequalities and local times. Zbl 0451.60050
Barlow, M. T.; Yor, M.
26
1981
Construction of a martingale with given absolute value. Zbl 0484.60037
Barlow, M. T.
8
1981
Zero-one laws for the excursions and range of a Levy process. Zbl 0438.60029
Barlow, M. T.
2
1981
On countable dense random sets. Zbl 0457.60030
Aldous, D. J.; Barlow, M. T.
1
1981
Wiener-Hopf factorization for matrices. Zbl 0429.15007
Barlow, M. T.; Rogers, L. C. G.; Williams, David
7
1980
...and 2 more Documents
all top 5

Cited by 1,320 Authors

42 Kumagai, Takashi
38 Barlow, Martin T.
31 Strichartz, Robert S.
29 Chen, Zhen-Qing
25 Bass, Richard F.
25 Teplyaev, Alexander
24 Grigor’yan, Alexander Asaturovich
21 Hu, Jiaxin
19 Hambly, Ben M.
19 Wang, Jian
17 Kim, Panki
13 Croydon, David A.
12 Andres, Sebastian
12 Hinz, Michael
12 Hutchcroft, Tom
12 Khoshnevisan, Davar
12 Perkins, Edwin A.
11 Deuschel, Jean-Dominique
11 Jeanblanc, Monique
11 Rogers, Luke G.
11 Yor, Marc
10 Kassmann, Moritz
10 Kigami, Jun
10 Lau, Kasing
10 Nachmias, Asaf
10 Pietruska-Pałuba, Katarzyna
10 Saloff-Coste, Laurent
10 Telcs, András
9 Burdzy, Krzysztof
9 Peres, Yuval
9 Qiu, Hua
9 Röckner, Michael
9 Xiao, Yimin
8 Dawson, Donald Andrew
8 Fleischmann, Klaus
8 Mourrat, Jean-Christophe
8 Russo, Francesco
7 Capitanelli, Raffaela
7 Kajino, Naotaka
7 Metz, Volker
7 Murugan, Mathav Kishore
7 Nikeghbali, Ashkan
7 Ouknine, Youssef
7 Slowik, Martin
6 Alessio, Francesca
6 Alonso-Ruiz, Patricia
6 Benjamini, Itai
6 Cao, Shiping
6 Chen, Xin
6 Fazly, Mostafa
6 Grabner, Peter J.
6 Grzywny, Tomasz
6 Imkeller, Peter
6 Kelleher, Daniel J.
6 Lapidus, Michel L.
6 Mathieu, Pierre
6 Montecchiari, Piero
6 Pop, Camelia Alexandra
6 Song, Renming
6 Song, Shiqi
6 Yano, Kouji
6 Zähle, Martina
5 Albeverio, Sergio A.
5 Angel, Omer
5 Angulo, José Miguel
5 Anh, Vo V.
5 Ben Arous, Gérard
5 Benabdallah, Mohsine
5 Biskup, Marek
5 Černý, Jiří
5 Coulhon, Thierry
5 Fribergh, Alexander
5 Gui, Changfeng
5 Hattori, Kumiko
5 Hattori, Tetsuya
5 Hino, Masanori
5 Jacka, Saul D.
5 Jones, Owen Dafydd
5 Kondrat’yev, Yuriĭ Grygorovych
5 Kozma, Gady
5 Kusuoka, Shigeo
5 Ruiz-Medina, María Dolores
5 Rutkowski, Marek
5 Stauffer, Alexandre O.
5 Vivaldi, Maria Agostina
5 Wei, Juncheng
5 Yan, Litan
4 Aksamit, Anna
4 Baudoin, Fabrice
4 Berger, Noam
4 Bogdan, Krzysztof
4 Bouhadou, Siham
4 Chen, Yong
4 Choulli, Tahir
4 Csáki, Endre
4 Fontes, Luiz Renato G.
4 Freiberg, Uta Renata
4 Golmankhaneh, Alireza Khalili
4 Gu, Qingsong
4 Guido, Daniele
...and 1,220 more Authors
all top 5

Cited in 262 Serials

102 Stochastic Processes and their Applications
88 Probability Theory and Related Fields
77 The Annals of Probability
60 Journal of Functional Analysis
57 Transactions of the American Mathematical Society
41 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
39 Journal of Theoretical Probability
28 Potential Analysis
27 The Annals of Applied Probability
23 Communications in Mathematical Physics
23 Statistics & Probability Letters
18 Journal of Mathematical Analysis and Applications
16 Journal of Statistical Physics
16 Proceedings of the American Mathematical Society
16 Electronic Journal of Probability
12 Journal of Differential Equations
12 Calculus of Variations and Partial Differential Equations
12 The Journal of Fourier Analysis and Applications
10 Journal of Mathematical Physics
10 Annales de l’Institut Fourier
10 Electronic Communications in Probability
10 Bernoulli
9 Advances in Mathematics
9 Inventiones Mathematicae
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Stochastic Analysis and Applications
9 International Journal of Theoretical and Applied Finance
8 Communications on Pure and Applied Mathematics
8 Journal d’Analyse Mathématique
8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Communications on Pure and Applied Analysis
7 Archive for Rational Mechanics and Analysis
7 Mathematische Annalen
7 Fractals
6 Chaos, Solitons and Fractals
6 Theory of Probability and its Applications
6 Mathematische Zeitschrift
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Revista Matemática Iberoamericana
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Bulletin des Sciences Mathématiques
6 Acta Mathematica Sinica. English Series
6 Quantitative Finance
5 Journal of Computational and Applied Mathematics
5 Journal of the Mathematical Society of Japan
5 Communications in Partial Differential Equations
5 Stochastics and Stochastics Reports
5 NoDEA. Nonlinear Differential Equations and Applications
5 Discrete and Continuous Dynamical Systems
5 Finance and Stochastics
5 Stochastics and Dynamics
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Science China. Mathematics
4 Advances in Applied Probability
4 Applicable Analysis
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Mathematische Nachrichten
4 Osaka Journal of Mathematics
4 Acta Applicandae Mathematicae
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Forum Mathematicum
4 Science in China. Series A
4 The Journal of Geometric Analysis
4 SIAM Journal on Mathematical Analysis
4 Applied Mathematical Finance
4 Journal of the European Mathematical Society (JEMS)
4 Journal of Evolution Equations
3 Physics Letters. A
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Duke Mathematical Journal
3 Manuscripta Mathematica
3 Memoirs of the American Mathematical Society
3 Monatshefte für Mathematik
3 Proceedings of the London Mathematical Society. Third Series
3 Zeitschrift für Analysis und ihre Anwendungen
3 Probability and Mathematical Statistics
3 Chinese Annals of Mathematics. Series B
3 Constructive Approximation
3 Journal of the American Mathematical Society
3 Random Structures & Algorithms
3 Bulletin of the American Mathematical Society. New Series
3 Combinatorics, Probability and Computing
3 Random Operators and Stochastic Equations
3 Monte Carlo Methods and Applications
3 Mathematical Methods of Operations Research
3 Annals of Mathematics. Second Series
3 Methodology and Computing in Applied Probability
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mathematics and Financial Economics
3 Journal of Noncommutative Geometry
3 SIAM Journal on Financial Mathematics
3 Probability Surveys
2 Bulletin of the Australian Mathematical Society
2 Discrete Applied Mathematics
2 Letters in Mathematical Physics
2 Nonlinearity
2 Arkiv för Matematik
2 Reviews in Mathematical Physics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Optimization
...and 162 more Serials
all top 5

Cited in 50 Fields

903 Probability theory and stochastic processes (60-XX)
280 Partial differential equations (35-XX)
208 Measure and integration (28-XX)
151 Potential theory (31-XX)
117 Statistical mechanics, structure of matter (82-XX)
115 Operator theory (47-XX)
92 Combinatorics (05-XX)
79 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
63 Functional analysis (46-XX)
60 Global analysis, analysis on manifolds (58-XX)
36 Harmonic analysis on Euclidean spaces (42-XX)
35 Quantum theory (81-XX)
34 Statistics (62-XX)
32 Dynamical systems and ergodic theory (37-XX)
29 Numerical analysis (65-XX)
25 Functions of a complex variable (30-XX)
24 Ordinary differential equations (34-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
20 Real functions (26-XX)
20 Integral equations (45-XX)
17 Differential geometry (53-XX)
15 Systems theory; control (93-XX)
12 Difference and functional equations (39-XX)
11 Fluid mechanics (76-XX)
9 Computer science (68-XX)
8 Number theory (11-XX)
8 Group theory and generalizations (20-XX)
8 Abstract harmonic analysis (43-XX)
8 Biology and other natural sciences (92-XX)
5 Approximations and expansions (41-XX)
5 Convex and discrete geometry (52-XX)
5 Operations research, mathematical programming (90-XX)
5 Information and communication theory, circuits (94-XX)
4 Mathematical logic and foundations (03-XX)
4 General topology (54-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of deformable solids (74-XX)
3 Optics, electromagnetic theory (78-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Algebraic topology (55-XX)
2 Mechanics of particles and systems (70-XX)
2 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)

Citations by Year

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