Edit Profile Barlow, Martin T. Compute Distance To: Compute Author ID: barlow.martin-t Published as: Barlow, M. T.; Barlow, Martin; Barlow, Martin T. External Links: MGP · Wikidata · GND Documents Indexed: 116 Publications since 1978, including 5 Books all top 5 Co-Authors 28 single-authored 18 Bass, Richard F. 14 Perkins, Edwin A. 10 Kumagai, Takashi 9 Yor, Marc 5 Burdzy, Krzysztof 5 Taylor, Samuel James 3 Grigor’yan, Alexander Asaturovich 3 Hambly, Ben M. 3 Jacka, Saul D. 2 Andres, Sebastian 2 Černý, Jiří 2 Coulhon, Thierry 2 Deuschel, Jean-Dominique 2 Evans, Steven Neil 2 Járai, Antal A. 2 Kaspi, Haya 2 Mandelbaum, Avi 2 Masson, Robert D. 2 Murugan, Mathav Kishore 2 Nachmias, Asaf 2 Peres, Yuval 2 Pitman, Jim William 2 Slade, Gordon 2 Timár, Ádám 1 Aldous, David John 1 Angel, Omer 1 Athreya, Siva R. 1 Bernard, Pierre 1 Bingham, Nicholas Hugh 1 Brosamler, Gunnar Arnvid 1 Chen, Xinxing 1 Chen, Zhen-Qing 1 Croydon, David A. 1 Ding, Jian 1 Émery, Michel 1 Gui, Changfeng 1 Gurel-Gurevich, Ori 1 Gusev, Yuri V. 1 Hattori, Kumiko 1 Hattori, Tetsuya 1 Hawkes, John 1 Imkeller, Peter 1 Jordán, Tibor 1 Kassmann, Moritz 1 Kigami, Jun 1 Knight, Frank Bardsley 1 Lai, Manpo 1 Nualart, David 1 Pemantle, Robin 1 Protter, Philip Elliott 1 Rogers, L. C. G. 1 Sherwood, John D. 1 Song, Shiqi 1 Sousi, Perla 1 Teplyaev, Alexander 1 Watanabe, Hiroshi 1 Watson, Neil A. 1 Williams, David 1 Zheng, Xinghua 1 Żuk, Andrzej all top 5 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 all top 5 Fields 100 Probability theory and stochastic processes (60-XX) 13 Potential theory (31-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Combinatorics (05-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Partial differential equations (35-XX) 6 Measure and integration (28-XX) 3 General and overarching topics; collections (00-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 102 Publications have been cited 2,052 times in 1,205 Documents Cited by ▼ Year ▼ Brownian motion on the Sierpinski gasket. Zbl 0635.60090Barlow, Martin T.; Perkins, Edwin A. 184 1988 Diffusions on fractals. Zbl 0916.60069Barlow, Martin T. 107 1998 Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz 104 2009 Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071Barlow, Martin T.; Bass, Richard F. 102 1999 Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times. Zbl 0505.60054Barlow, M. T.; Yor, M. 81 1982 The construction of Brownian motion on the Sierpinski carpet. Zbl 0691.60070Barlow, Martin T.; Bass, Richard F. 75 1989 Random walks on supercritical percolation clusters. Zbl 1067.60101Barlow, Martin T. 66 2004 Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071Barlow, Martin T.; Bass, Richard F. 56 1992 The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng 52 2000 Stability of parabolic Harnack inequalities on metric measure spaces. Zbl 1102.60064Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi 50 2006 Heat kernel upper bounds for jump processes and the first exit time. Zbl 1158.60039Barlow, Martin T.; Grigor’yan, Alexander; Kumagai, Takashi 43 2009 Invariance principle for the random conductance model with unbounded conductances. Zbl 1189.60187Barlow, M. T.; Deuschel, J.-D. 39 2010 Uniqueness of Brownian motion on Sierpiński carpets. Zbl 1200.60070Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi; Teplyaev, Alexander 38 2010 Localized eigenfunctions of the Laplacian on p. c. f. self-similar sets. Zbl 0904.35064Barlow, Martin T.; Kigami, Jun 38 1997 On Walsh’s Brownian motions. Zbl 0747.60072Barlow, Martin; Pitman, Jim; Yor, Marc 35 1989 Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi 34 2005 Stability of parabolic Harnack inequalities. Zbl 1034.60070Barlow, Martin T.; Bass, Richard F. 33 2004 A multi- dimensional extension of the arcsine law. Zbl 0738.60072Barlow, Martin; Pitman, Jim; Yor, Marc 33 1989 Random walk on the incipient infinite cluster on trees. Zbl 1110.60090Barlow, Martin T.; Kumagai, Takashi 32 2006 On the equivalence of parabolic Harnack inequalities and heat kernel estimates. Zbl 1281.58016Barlow, Martin T.; Grigor’yan, Alexander; Kumagai, Takashi 31 2012 A diffusion model for electricity prices. Zbl 1046.91041Barlow, M. T. 31 2002 Study of a filtration expanded to include an honest time. Zbl 0369.60047Barlow, M. T. 30 1978 Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A. 28 2002 Random walk on the incipient infinite cluster for oriented percolation in high dimensions. Zbl 1144.82030Barlow, Martin T.; Járai, Antal A.; Kumagai, Takashi; Slade, Gordon 26 2008 Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander 26 2001 Which values of the volume growth and escape time exponent are possible for a graph? Zbl 1051.60071Barlow, Martin T. 25 2004 On the resistance of the Sierpiński carpet. Zbl 0729.60108Barlow, M. T.; Bass, R. F. 25 1990 (Semi-) martingale inequalities and local times. Zbl 0451.60050Barlow, M. T.; Yor, M. 25 1981 Invariance principle for the random conductance model. Zbl 1356.60174Andres, S.; Barlow, M. T.; Deuschel, J.-D.; Hambly, B. M. 24 2013 Necessary and sufficient conditions for the continuity of local time of Lévy processes. Zbl 0666.60072Barlow, M. T. 23 1988 Parabolic Harnack inequality and local limit theorem for percolation clusters. Zbl 1192.60107Hambly, Ben M.; Barlow, Martin T. 22 2009 One dimensional stochastic differential equations with no strong solution. Zbl 0456.60062Barlow, M. T. 21 1982 Collision local times and measure-valued processes. Zbl 0765.60044Barlow, Martin T.; Evans, Steven N.; Perkins, Edwin A. 19 1991 Transition density estimates for Brownian motion on scale irregular Sierpiński gaskets. Zbl 0903.60072Barlow, M. T.; Hambly, B. M. 18 1997 Defining fractal subsets of \(\mathbb{Z}{}^ d\). Zbl 0753.28006Barlow, Martin T.; Taylor, S. James 18 1992 Convergence to fractional kinetics for random walks associated with unbounded conductances. Zbl 1227.60112Barlow, Martin T.; Černý, Jiří 17 2011 Random walks on graphical Sierpinski carpets. Zbl 0958.60045Barlow, Martin T.; Bass, Richard F. 17 1999 One-dimensional stochastic differential equations involving a singular increasing process. Zbl 0543.60065Barlow, M. T.; Perkins, E. 17 1984 Energy inequalities for cutoff functions and some applications. Zbl 1347.31003Andres, Sebastian; Barlow, Martin T. 16 2015 Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps. Zbl 1159.60021Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi 16 2009 On a theorem of Tsirelson with respect to Brownian and non-Brownian filtrations. Zbl 0914.60064Barlow, M. T.; Émery, M.; Knight, F. B.; Song, S.; Yor, M. 15 1998 Fractional dimension of sets in discrete spaces. Zbl 0687.60088Barlow, M. T.; Taylor, S. J. 15 1989 Random walks, electrical resistance, and nested fractals. Zbl 0791.60097Barlow, M. T. 14 1993 On the Liouville property for divergence form operators. Zbl 0912.31004Barlow, Martin T. 13 1998 Inequalities for a pair of processes stopped at a random time. Zbl 0585.60055Barlow, M. T.; Jacka, S. D.; Yor, M. 13 1986 Resistance and spectral dimension of Sierpinski carpets. Zbl 0717.58031Barlow, M. T.; Bass, R. F.; Sherwood, J. D. 12 1990 Local times for Brownian motion on the Sierpinski carpet. Zbl 0685.60076Barlow, Martin T.; Bass, Richard F. 12 1990 Random walks and heat kernels on graphs. Zbl 1365.05002Barlow, Martin T. 11 2017 Collisions of random walks. Zbl 1285.60073Barlow, Martin T.; Peres, Yuval; Sousi, Perla 11 2012 Exponential tail bounds for loop-erased random walk in two dimensions. Zbl 1207.60035Barlow, Martin T.; Masson, Robert 11 2010 Continuity of local times for Lévy processes. Zbl 0561.60076Barlow, M. T. 11 1985 Boundaries of planar graphs, via circle packings. Zbl 1339.05061Angel, Omer; Barlow, Martin T.; Gurel-Gurevich, Ori; Nachmias, Asaf 10 2016 Coupling and Harnack inequalities for Sierpinski carpets. Zbl 0782.60017Barlow, Martin T.; Bass, Richard F. 10 1993 Skew Brownian motion and a one dimensional stochastic differential equation. Zbl 0657.60075Barlow, M. T. 10 1988 Divergence form operators on fractal-like domains. Zbl 0968.58022Barlow, Martin T.; Bass, Richard F. 9 2000 Symmetric Markov chains in \({\mathbb{Z}}^ 4:\) How fast can they move? Zbl 0667.60070Barlow, Martin T.; Perkins, Edwin A. 9 1989 Variably skewed Brownian motion. Zbl 0949.60090Barlow, Martin; Burdzy, Krzysztof; Kaspi, Haya; Mandelbaum, Avi 8 2000 Construction of a martingale with given absolute value. Zbl 0484.60037Barlow, M. T. 8 1981 Wiener-Hopf factorization for matrices. Zbl 0429.15007Barlow, M. T.; Rogers, L. C. G.; Williams, David 8 1980 Some remarks on the elliptic Harnack inequality. Zbl 1067.31002Barlow, Martin T. 7 2005 Calibration of multifactor models in electricity markets. Zbl 1107.91307Barlow, Martin; Gusev, Yuri; Lai, Manpo 7 2004 Heat kernels and sets with fractal structure. Zbl 1056.60072Barlow, Martin T. 7 2003 Diffusion-limited aggregation on a tree. Zbl 0866.60093Barlow, Martin T.; Pemantle, Robin; Perkins, Edwin A. 7 1997 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 0584.60087Barlow, Martin T.; Hawkes, John 7 1985 Stability of the elliptic Harnack inequality. Zbl 06864390Barlow, Martin; Murugan, Mathav 6 2018 Analysis on the Sierpiński carpet. Zbl 1280.28009Barlow, M. T. 6 2013 Spectral dimension and random walks on the two dimensional uniform spanning tree. Zbl 1223.05285Barlow, Martin T.; Masson, Robert 6 2011 The evolution of the cover time. Zbl 1226.05230Barlow, Martin T.; Ding, Jian; Nachmias, Asaf; Peres, Yuval 6 2011 Coalescence of skew Brownian motions. Zbl 0977.60074Barlow, Martin; Burdzy, Krzysztof; Kaspi, Haya; Mandelbaum, Avi 6 2001 Transition density asymptotics for some diffusion processes with multi-fractal structures. Zbl 0974.60061Barlow, Martin T.; Kumagai, Takashi 6 2001 Two uniform intrinsic constructions for the local time of a class of Lévy processes. Zbl 0571.60082Barlow, Martin T.; Perkins, Edwin A.; Taylor, S. James 6 1986 Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree. Zbl 1377.60022Barlow, M. T.; Croydon, D. A.; Kumagai, T. 5 2017 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 0894.00045Barlow, Martin T.; Nualart, David; Bernard, P. (ed.) 5 1998 On the filtration of historical Brownian motion. Zbl 0816.60044Barlow, Martin T.; Perkins, Edwin A. 5 1994 On convergence of semimartingales. Zbl 0703.60041Barlow, Martin T.; Protter, Philip 5 1990 Sur la construction d’une martingale continue, de valeur absolue donnée. Zbl 0426.60047Barlow, M. T.; Yor, M. 5 1980 Comparison of quenched and annealed invariance principles for random conductance model. II. Zbl 1337.60040Barlow, Martin; Burdzy, Krzysztof; Timár, Adám 4 2015 The random conductance model with Cauchy tails. Zbl 1196.60173Barlow, Martin T.; Zheng, Xinghua 4 2010 Markov processes on vermiculated spaces. Zbl 1056.60071Barlow, Martin T.; Evans, Steven N. 4 2004 Harmonic analysis on fractal spaces. Zbl 0798.58079Barlow, Martin 4 1992 Random walks and diffusions on fractals. Zbl 0751.60073Barlow, Martin T. 4 1991 Brownian motion at a slow point. Zbl 0602.60041Barlow, Martin T.; Perkins, Edwin A. 4 1986 Gaussian bounds and parabolic Harnack inequality on locally irregular graphs. Zbl 1352.60126Barlow, Martin T.; Chen, Xinxing 3 2016 Comparison of quenched and annealed invariance principles for random conductance model. Zbl 1335.60048Barlow, Martin; Burdzy, Krzysztof; Timár, Ádám 3 2016 Fractals and diffusion-limited aggregation. (Round table on fractals). Zbl 0776.28002Barlow, M. T. 3 1993 On some sample path properties of Skorohod integral processes. Zbl 0761.60047Barlow, Martin T.; Imkeller, Peter 3 1992 Levels at which every Brownian excursion is exceptional. Zbl 0555.60050Barlow, M. T.; Perkins, E. 3 1984 Loop erased walks and uniform spanning trees. Zbl 1343.05139Barlow, Martin T. 2 2016 Erratum to: Convergence to fractional kinetics for random walks associated with unbounded conductances. Zbl 1238.60114Barlow, Martin T.; Černý, Jiří 2 2011 Anomalous diffusion and stability of Harnack inequalities. Zbl 1070.53039Barlow, Martin T. 2 2004 Weak homogenization of anisotropic diffusion on pre-Sierpiński carpets. Zbl 0882.60098Barlow, Martin T.; Hattori, Kumiko; Hattori, Tetsuya; Watanabe, Hiroshi 2 1997 Sample path properties of stochastic integrals, and stochastic differentiation. Zbl 0689.60050Barlow, Martin T.; Perkins, Edwin A. 2 1989 Tracking a diffusion, and an application to weak convergence. Zbl 0622.60058Barlow, M. T.; Jacka, S. D. 2 1986 Inequalities for upcrossings of semimartingales via Skorohod embedding. Zbl 0525.60058Barlow, M. T. 2 1983 L(\(B_ t,\)t) is not a semimartingale. Zbl 0479.60082Barlow, M. T. 2 1982 Zero-one laws for the excursions and range of a Levy process. Zbl 0438.60029Barlow, M. T. 2 1981 Geometry of uniform spanning forest components in high dimensions. Zbl 07131210Barlow, Martin T.; Járai, Antal A. 1 2019 Boundary Harnack principle and elliptic Harnack inequality. Zbl 1422.31006Barlow, Martin T.; Murugan, Mathav 1 2019 On pathwise uniqueness and expansion of filtrations. Zbl 0706.60058Barlow, Martin T.; Perkins, Edwin A. 1 1990 A maximal inequality for upcrossings of a continuous martingale. Zbl 0571.60059Barlow, M. T. 1 1984 Geometry of uniform spanning forest components in high dimensions. Zbl 07131210Barlow, Martin T.; Járai, Antal A. 1 2019 Boundary Harnack principle and elliptic Harnack inequality. Zbl 1422.31006Barlow, Martin T.; Murugan, Mathav 1 2019 Stability of the elliptic Harnack inequality. Zbl 06864390Barlow, Martin; Murugan, Mathav 6 2018 Random walks and heat kernels on graphs. Zbl 1365.05002Barlow, Martin T. 11 2017 Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree. Zbl 1377.60022Barlow, M. T.; Croydon, D. A.; Kumagai, T. 5 2017 Boundaries of planar graphs, via circle packings. Zbl 1339.05061Angel, Omer; Barlow, Martin T.; Gurel-Gurevich, Ori; Nachmias, Asaf 10 2016 Gaussian bounds and parabolic Harnack inequality on locally irregular graphs. Zbl 1352.60126Barlow, Martin T.; Chen, Xinxing 3 2016 Comparison of quenched and annealed invariance principles for random conductance model. Zbl 1335.60048Barlow, Martin; Burdzy, Krzysztof; Timár, Ádám 3 2016 Loop erased walks and uniform spanning trees. Zbl 1343.05139Barlow, Martin T. 2 2016 Energy inequalities for cutoff functions and some applications. Zbl 1347.31003Andres, Sebastian; Barlow, Martin T. 16 2015 Comparison of quenched and annealed invariance principles for random conductance model. II. Zbl 1337.60040Barlow, Martin; Burdzy, Krzysztof; Timár, Adám 4 2015 Invariance principle for the random conductance model. Zbl 1356.60174Andres, S.; Barlow, M. T.; Deuschel, J.-D.; Hambly, B. M. 24 2013 Analysis on the Sierpiński carpet. Zbl 1280.28009Barlow, M. T. 6 2013 On the equivalence of parabolic Harnack inequalities and heat kernel estimates. Zbl 1281.58016Barlow, Martin T.; Grigor’yan, Alexander; Kumagai, Takashi 31 2012 Collisions of random walks. Zbl 1285.60073Barlow, Martin T.; Peres, Yuval; Sousi, Perla 11 2012 Convergence to fractional kinetics for random walks associated with unbounded conductances. Zbl 1227.60112Barlow, Martin T.; Černý, Jiří 17 2011 Spectral dimension and random walks on the two dimensional uniform spanning tree. Zbl 1223.05285Barlow, Martin T.; Masson, Robert 6 2011 The evolution of the cover time. Zbl 1226.05230Barlow, Martin T.; Ding, Jian; Nachmias, Asaf; Peres, Yuval 6 2011 Erratum to: Convergence to fractional kinetics for random walks associated with unbounded conductances. Zbl 1238.60114Barlow, Martin T.; Černý, Jiří 2 2011 Invariance principle for the random conductance model with unbounded conductances. Zbl 1189.60187Barlow, M. T.; Deuschel, J.-D. 39 2010 Uniqueness of Brownian motion on Sierpiński carpets. Zbl 1200.60070Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi; Teplyaev, Alexander 38 2010 Exponential tail bounds for loop-erased random walk in two dimensions. Zbl 1207.60035Barlow, Martin T.; Masson, Robert 11 2010 The random conductance model with Cauchy tails. Zbl 1196.60173Barlow, Martin T.; Zheng, Xinghua 4 2010 Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz 104 2009 Heat kernel upper bounds for jump processes and the first exit time. Zbl 1158.60039Barlow, Martin T.; Grigor’yan, Alexander; Kumagai, Takashi 43 2009 Parabolic Harnack inequality and local limit theorem for percolation clusters. Zbl 1192.60107Hambly, Ben M.; Barlow, Martin T. 22 2009 Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps. Zbl 1159.60021Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi 16 2009 Random walk on the incipient infinite cluster for oriented percolation in high dimensions. Zbl 1144.82030Barlow, Martin T.; Járai, Antal A.; Kumagai, Takashi; Slade, Gordon 26 2008 Stability of parabolic Harnack inequalities on metric measure spaces. Zbl 1102.60064Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi 50 2006 Random walk on the incipient infinite cluster on trees. Zbl 1110.60090Barlow, Martin T.; Kumagai, Takashi 32 2006 Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi 34 2005 Some remarks on the elliptic Harnack inequality. Zbl 1067.31002Barlow, Martin T. 7 2005 Random walks on supercritical percolation clusters. Zbl 1067.60101Barlow, Martin T. 66 2004 Stability of parabolic Harnack inequalities. Zbl 1034.60070Barlow, Martin T.; Bass, Richard F. 33 2004 Which values of the volume growth and escape time exponent are possible for a graph? Zbl 1051.60071Barlow, Martin T. 25 2004 Calibration of multifactor models in electricity markets. Zbl 1107.91307Barlow, Martin; Gusev, Yuri; Lai, Manpo 7 2004 Markov processes on vermiculated spaces. Zbl 1056.60071Barlow, Martin T.; Evans, Steven N. 4 2004 Anomalous diffusion and stability of Harnack inequalities. Zbl 1070.53039Barlow, Martin T. 2 2004 Heat kernels and sets with fractal structure. Zbl 1056.60072Barlow, Martin T. 7 2003 A diffusion model for electricity prices. Zbl 1046.91041Barlow, M. T. 31 2002 Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A. 28 2002 Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander 26 2001 Coalescence of skew Brownian motions. Zbl 0977.60074Barlow, Martin; Burdzy, Krzysztof; Kaspi, Haya; Mandelbaum, Avi 6 2001 Transition density asymptotics for some diffusion processes with multi-fractal structures. Zbl 0974.60061Barlow, Martin T.; Kumagai, Takashi 6 2001 The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng 52 2000 Divergence form operators on fractal-like domains. Zbl 0968.58022Barlow, Martin T.; Bass, Richard F. 9 2000 Variably skewed Brownian motion. Zbl 0949.60090Barlow, Martin; Burdzy, Krzysztof; Kaspi, Haya; Mandelbaum, Avi 8 2000 Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071Barlow, Martin T.; Bass, Richard F. 102 1999 Random walks on graphical Sierpinski carpets. Zbl 0958.60045Barlow, Martin T.; Bass, Richard F. 17 1999 Diffusions on fractals. Zbl 0916.60069Barlow, Martin T. 107 1998 On a theorem of Tsirelson with respect to Brownian and non-Brownian filtrations. Zbl 0914.60064Barlow, M. T.; Émery, M.; Knight, F. B.; Song, S.; Yor, M. 15 1998 On the Liouville property for divergence form operators. Zbl 0912.31004Barlow, 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 0894.00045Barlow, Martin T.; Nualart, David; Bernard, P. (ed.) 5 1998 Localized eigenfunctions of the Laplacian on p. c. f. self-similar sets. Zbl 0904.35064Barlow, Martin T.; Kigami, Jun 38 1997 Transition density estimates for Brownian motion on scale irregular Sierpiński gaskets. Zbl 0903.60072Barlow, M. T.; Hambly, B. M. 18 1997 Diffusion-limited aggregation on a tree. Zbl 0866.60093Barlow, Martin T.; Pemantle, Robin; Perkins, Edwin A. 7 1997 Weak homogenization of anisotropic diffusion on pre-Sierpiński carpets. Zbl 0882.60098Barlow, Martin T.; Hattori, Kumiko; Hattori, Tetsuya; Watanabe, Hiroshi 2 1997 On the filtration of historical Brownian motion. Zbl 0816.60044Barlow, Martin T.; Perkins, Edwin A. 5 1994 Random walks, electrical resistance, and nested fractals. Zbl 0791.60097Barlow, M. T. 14 1993 Coupling and Harnack inequalities for Sierpinski carpets. Zbl 0782.60017Barlow, Martin T.; Bass, Richard F. 10 1993 Fractals and diffusion-limited aggregation. (Round table on fractals). Zbl 0776.28002Barlow, M. T. 3 1993 Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071Barlow, Martin T.; Bass, Richard F. 56 1992 Defining fractal subsets of \(\mathbb{Z}{}^ d\). Zbl 0753.28006Barlow, Martin T.; Taylor, S. James 18 1992 Harmonic analysis on fractal spaces. Zbl 0798.58079Barlow, Martin 4 1992 On some sample path properties of Skorohod integral processes. Zbl 0761.60047Barlow, Martin T.; Imkeller, Peter 3 1992 Collision local times and measure-valued processes. Zbl 0765.60044Barlow, Martin T.; Evans, Steven N.; Perkins, Edwin A. 19 1991 Random walks and diffusions on fractals. Zbl 0751.60073Barlow, Martin T. 4 1991 On the resistance of the Sierpiński carpet. Zbl 0729.60108Barlow, M. T.; Bass, R. F. 25 1990 Resistance and spectral dimension of Sierpinski carpets. Zbl 0717.58031Barlow, M. T.; Bass, R. F.; Sherwood, J. D. 12 1990 Local times for Brownian motion on the Sierpinski carpet. Zbl 0685.60076Barlow, Martin T.; Bass, Richard F. 12 1990 On convergence of semimartingales. Zbl 0703.60041Barlow, Martin T.; Protter, Philip 5 1990 On pathwise uniqueness and expansion of filtrations. Zbl 0706.60058Barlow, Martin T.; Perkins, Edwin A. 1 1990 The construction of Brownian motion on the Sierpinski carpet. Zbl 0691.60070Barlow, Martin T.; Bass, Richard F. 75 1989 On Walsh’s Brownian motions. Zbl 0747.60072Barlow, Martin; Pitman, Jim; Yor, Marc 35 1989 A multi- dimensional extension of the arcsine law. Zbl 0738.60072Barlow, Martin; Pitman, Jim; Yor, Marc 33 1989 Fractional dimension of sets in discrete spaces. Zbl 0687.60088Barlow, M. T.; Taylor, S. J. 15 1989 Symmetric Markov chains in \({\mathbb{Z}}^ 4:\) How fast can they move? Zbl 0667.60070Barlow, Martin T.; Perkins, Edwin A. 9 1989 Sample path properties of stochastic integrals, and stochastic differentiation. Zbl 0689.60050Barlow, Martin T.; Perkins, Edwin A. 2 1989 Brownian motion on the Sierpinski gasket. Zbl 0635.60090Barlow, Martin T.; Perkins, Edwin A. 184 1988 Necessary and sufficient conditions for the continuity of local time of Lévy processes. Zbl 0666.60072Barlow, M. T. 23 1988 Skew Brownian motion and a one dimensional stochastic differential equation. Zbl 0657.60075Barlow, M. T. 10 1988 Inequalities for a pair of processes stopped at a random time. Zbl 0585.60055Barlow, M. T.; Jacka, S. D.; Yor, M. 13 1986 Two uniform intrinsic constructions for the local time of a class of Lévy processes. Zbl 0571.60082Barlow, Martin T.; Perkins, Edwin A.; Taylor, S. James 6 1986 Brownian motion at a slow point. Zbl 0602.60041Barlow, Martin T.; Perkins, Edwin A. 4 1986 Tracking a diffusion, and an application to weak convergence. Zbl 0622.60058Barlow, M. T.; Jacka, S. D. 2 1986 Continuity of local times for Lévy processes. Zbl 0561.60076Barlow, 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 0584.60087Barlow, Martin T.; Hawkes, John 7 1985 One-dimensional stochastic differential equations involving a singular increasing process. Zbl 0543.60065Barlow, M. T.; Perkins, E. 17 1984 Levels at which every Brownian excursion is exceptional. Zbl 0555.60050Barlow, M. T.; Perkins, E. 3 1984 A maximal inequality for upcrossings of a continuous martingale. Zbl 0571.60059Barlow, M. T. 1 1984 Inequalities for upcrossings of semimartingales via Skorohod embedding. Zbl 0525.60058Barlow, M. T. 2 1983 Strong existence, uniqueness and non-uniqueness in an equation involving local time. Zbl 0527.60075Barlow, M. T.; Perkins, E. 1 1983 Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times. Zbl 0505.60054Barlow, M. T.; Yor, M. 81 1982 One dimensional stochastic differential equations with no strong solution. Zbl 0456.60062Barlow, M. T. 21 1982 L(\(B_ t,\)t) is not a semimartingale. Zbl 0479.60082Barlow, M. T. 2 1982 (Semi-) martingale inequalities and local times. Zbl 0451.60050Barlow, M. T.; Yor, M. 25 1981 Construction of a martingale with given absolute value. Zbl 0484.60037Barlow, M. T. 8 1981 Zero-one laws for the excursions and range of a Levy process. Zbl 0438.60029Barlow, M. T. 2 1981 On countable dense random sets. Zbl 0457.60030Aldous, D. J.; Barlow, M. T. 1 1981 Wiener-Hopf factorization for matrices. Zbl 0429.15007Barlow, M. T.; Rogers, L. C. G.; Williams, David 8 1980 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,268 Authors 39 Kumagai, Takashi 38 Barlow, Martin T. 29 Strichartz, Robert S. 27 Chen, Zhen-Qing 25 Bass, Richard F. 23 Teplyaev, Alexander 22 Grigor’yan, Alexander Asaturovich 20 Hu, Jiaxin 19 Hambly, Ben M. 15 Kim, Panki 15 Wang, Jian 13 Croydon, David A. 12 Hinz, Michael 12 Perkins, Edwin A. 12 Rogers, Luke G. 12 Yor, Marc 11 Deuschel, Jean-Dominique 11 Hutchcroft, Tom 11 Khoshnevisan, Davar 10 Jeanblanc, Monique 10 Kassmann, Moritz 10 Kigami, Jun 10 Lau, Kasing 10 Nachmias, Asaf 10 Saloff-Coste, Laurent 10 Telcs, András 9 Andres, Sebastian 9 Burdzy, Krzysztof 9 Dawson, Donald Andrew 9 Peres, Yuval 9 Pietruska-Pałuba, Katarzyna 9 Röckner, Michael 9 Xiao, Yimin 8 Fleischmann, Klaus 8 Mourrat, Jean-Christophe 8 Russo, Francesco 7 Biskup, Marek 7 Kajino, Naotaka 7 Metz, Volker 7 Murugan, Mathav Kishore 7 Nikeghbali, Ashkan 7 Ouknine, Youssef 7 Zähle, Martina 6 Alessio, Francesca 6 Benjamini, Itai 6 Coulhon, Thierry 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 Slowik, Martin 6 Song, Renming 6 Song, Shiqi 6 Yano, Kouji 5 Albeverio, Sergio A. 5 Angel, Omer 5 Angulo, José Miguel 5 Anh, Vo V. 5 Ben Arous, Gérard 5 Capitanelli, Raffaela 5 Černý, Jiří 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 Qiu, Hua 5 Ruiz-Medina, María Dolores 5 Rutkowski, Marek 5 Wei, Juncheng 5 Yan, Litan 4 Alonso-Ruiz, Patricia 4 Benabdallah, Mohsine 4 Berger, Noam 4 Bogdan, Krzysztof 4 Bouhadou, Siham 4 Chen, Xin 4 Chen, Yong 4 Csáki, Endre 4 Freiberg, Uta Renata 4 Gu, Qingsong 4 Hamel, François 4 Ionescu, Marius V. 4 Jørgensen, Palle E. T. 4 Kaleta, Kamil 4 Karatzas, Ioannis 4 Kim, Yong-Cheol 4 Liang, Zongxia 4 Masamune, Jun 4 Mosco, Umberto ...and 1,168 more Authors all top 5 Cited in 249 Serials 101 Stochastic Processes and their Applications 86 Probability Theory and Related Fields 74 The Annals of Probability 57 Journal of Functional Analysis 56 Transactions of the American Mathematical Society 39 Annales de l’Institut Henri Poincaré. 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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 5 Journal of Computational and Applied Mathematics 5 Journal of the Mathematical Society of Japan 5 Mathematische Zeitschrift 5 Communications in Partial Differential Equations 5 Stochastics and Stochastics Reports 5 NoDEA. Nonlinear Differential Equations and Applications 5 Finance and Stochastics 5 Acta Mathematica Sinica. English Series 5 Stochastics and Dynamics 5 ALEA. Latin American Journal of Probability and Mathematical Statistics 5 Science China. Mathematics 4 Advances in Applied Probability 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 Applied Mathematical Finance 4 Discrete and Continuous Dynamical Systems 4 Journal of the European Mathematical Society (JEMS) 4 Quantitative Finance 3 Applicable Analysis 3 Physics Letters. A 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 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 Chinese Annals of Mathematics. Series B 3 Constructive Approximation 3 Journal of the American Mathematical Society 3 Random Structures & Algorithms 3 The Journal of Geometric Analysis 3 SIAM Journal on Mathematical Analysis 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. 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Serie IV 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Duke Mathematical Journal ...and 149 more Serials all top 5 Cited in 50 Fields 857 Probability theory and stochastic processes (60-XX) 261 Partial differential equations (35-XX) 195 Measure and integration (28-XX) 140 Potential theory (31-XX) 108 Operator theory (47-XX) 101 Statistical mechanics, structure of matter (82-XX) 85 Combinatorics (05-XX) 74 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 58 Functional analysis (46-XX) 57 Global analysis, analysis on manifolds (58-XX) 37 Statistics (62-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 32 Quantum theory (81-XX) 31 Dynamical systems and ergodic theory (37-XX) 28 Numerical analysis (65-XX) 24 Ordinary differential equations (34-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 22 Functions of a complex variable (30-XX) 20 Integral equations (45-XX) 16 Real functions (26-XX) 16 Differential geometry (53-XX) 14 Systems theory; control (93-XX) 10 Difference and functional equations (39-XX) 10 Fluid mechanics (76-XX) 8 Group theory and generalizations (20-XX) 8 Computer science (68-XX) 8 Biology and other natural sciences (92-XX) 7 Number theory (11-XX) 6 Abstract harmonic analysis (43-XX) 5 Approximations and expansions (41-XX) 5 Convex and discrete geometry (52-XX) 4 Mathematical logic and foundations (03-XX) 4 General topology (54-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-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 Classical thermodynamics, heat transfer (80-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 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline