Edit Profile Bass, Richard F. Compute Distance To: Compute Author ID: bass.richard-f Published as: Bass, R.; Bass, R. F.; Bass, Richard; Bass, Richard F. Documents Indexed: 140 Publications since 1979, including 5 Books all top 5 Co-Authors 34 single-authored 24 Burdzy, Krzysztof 18 Barlow, Martin T. 11 Chen, Zhen-Qing 9 Perkins, Edwin A. 8 Kumagai, Takashi 7 Khoshnevisan, Davar 7 Rosen, Jay S. 5 Chen, Xia 5 Pyke, Ronald 4 Kassmann, Moritz 3 Athreya, Siva R. 3 Cranston, Michael Craig 3 Erickson, K. Bruce 3 Gröchenig, Karlheinz 2 Bañuelos, Rodrigo 2 Gordina, Maria 2 Hsu, PeiFeng 2 Levin, David A. 2 You, Dahae 1 Eisenbaum, Nathalie 1 Griffin, Philip S. 1 Gui, Changfeng 1 Hairer, Martin 1 Hambly, Ben M. 1 Horák, Jiri V. 1 Hsu, Elton P. 1 Lavrentiev, Alexander 1 Lyons, Terence John 1 McKenna, Patrick Joseph 1 Pardoux, Etienne 1 Ren, Hua 1 Sherwood, John D. 1 Shi, Zhan 1 Tang, Huili 1 Teplyaev, Alexander 1 Uemura, Toshihiro all top 5 Serials 20 The Annals of Probability 18 Probability Theory and Related Fields 11 Transactions of the American Mathematical Society 9 Stochastic Processes and their Applications 9 Electronic Journal of Probability 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Functional Analysis 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Electronic Communications in Probability 3 Proceedings of the American Mathematical Society 3 Journal of the European Mathematical Society (JEMS) 2 Duke Mathematical Journal 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Stochastics 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Communications in Partial Differential Equations 1 Journal of Physics A: Mathematical and General 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Potential Analysis 1 Bulletin des Sciences Mathématiques 1 Annals of Mathematics. Second Series 1 Cambridge Series in Statistical and Probabilistic Mathematics 1 Probability Surveys 1 Sankhyā 1 Probability and its Applications all top 5 Fields 131 Probability theory and stochastic processes (60-XX) 18 Partial differential equations (35-XX) 15 Potential theory (31-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 3 Statistics (62-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 128 Publications have been cited 2,264 times in 1,402 Documents Cited by ▼ Year ▼ Probabilistic techniques in analysis. Zbl 0817.60001Bass, Richard F. 108 1995 Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz 106 2009 Diffusions and elliptic operators. Zbl 0914.60009Bass, Richard F. 106 1998 Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071Barlow, Martin T.; Bass, Richard F. 103 1999 Harnack inequalities for jump processes. Zbl 0997.60089Bass, Richard F.; Levin, David A. 101 2002 The construction of Brownian motion on the Sierpinski carpet. Zbl 0691.60070Barlow, Martin T.; Bass, Richard F. 76 1989 Uniqueness in law for pure jump Markov processes. Zbl 0664.60080Bass, R. F. 72 1988 Transition probabilities for symmetric jump processes. Zbl 0993.60070Bass, Richard F.; Levin, David A. 63 2002 Harnack inequalities for non-local operators of variable order. Zbl 1052.60060Bass, Richard F.; Kassmann, Moritz 58 2005 Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071Barlow, Martin T.; Bass, Richard F. 56 1992 Hölder continuity of harmonic functions with respect to operators of variable order. Zbl 1087.45004Bass, Richard F.; Kassmann, Moritz 55 2005 Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains. Zbl 0732.60090Bass, Richard F.; Hsu, Pei 54 1991 The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng 53 2000 Stability of parabolic Harnack inequalities on metric measure spaces. Zbl 1102.60064Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi 50 2006 Uniqueness for diffusions with piecewise constant coefficients. Zbl 0617.60075Bass, R. F.; Pardoux, E. 49 1987 Stochastic differential equations with jumps. Zbl 1189.60114Bass, Richard F. 42 2004 Uniqueness of Brownian motion on Sierpiński carpets. Zbl 1200.60070Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi; Teplyaev, Alexander 39 2010 Stability of parabolic Harnack inequalities. Zbl 1034.60070Barlow, Martin T.; Bass, Richard F. 33 2004 Regularity results for stable-like operators. Zbl 1177.45013Bass, Richard F. 30 2009 Brownian motion with singular drift. Zbl 1029.60044Bass, Richard F.; Chen, Zhen-Qing 30 2003 Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains. Zbl 1007.60055Bass, Richard F.; Perkins, Edwin A. 30 2003 Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A. 29 2002 Symmetric jump processes: localization, heat kernels and convergence. Zbl 1201.60078Bass, Richard F.; Kassmann, Moritz; Kumagai, Takashi 27 2010 Random sampling of multivariate trigonometric polynomials. Zbl 1096.94008Bass, Richard F.; Gröchenig, Karlheinz 27 2004 Lifetimes of conditioned diffusions. Zbl 0739.60069Bass, Richard F.; Burdzy, Krzysztof 26 1992 A boundary Harnack principle in twisted Hölder domains. Zbl 0747.31008Bass, Richard F.; Burdzy, Krzysztof 26 1991 On the resistance of the Sierpiński carpet. Zbl 0729.60108Barlow, M. T.; Bass, R. F. 25 1990 Systems of equations driven by stable processes. Zbl 1085.60035Bass, Richard F.; Chen, Zhen-Qing 24 2006 The Malliavin calculus for pure jump processes and applications to local time. Zbl 0595.60044Bass, R. F.; Cranston, M. 23 1986 The most visited site of Brownian motion and simple random walk. Zbl 0554.60076Bass, Richard F.; Griffin, Philip S. 23 1985 One-dimensional stochastic differential equations with singular and degenerate coefficients. Zbl 1192.60081Bass, Richard F.; Chen, Zhen-Qing 20 2005 Stochastic differential equations driven by symmetric stable processes. Zbl 1039.60056Bass, Richard F. 19 2003 The semimartingale structure of reflecting Brownian motion. Zbl 0694.60075Bass, Richard F.; Hsu, Pei 18 1990 Extending the Wong-Zakai theorem to reversible Markov processes. Zbl 1010.60070Bass, R. F.; Hambly, B. M.; Lyons, T. J. 17 2002 Fiber Brownian motion and the “hot spots” problem. Zbl 1006.60078Bass, Richard F.; Burdzy, Krzysztof 17 2000 Random walks on graphical Sierpinski carpets. Zbl 0958.60045Barlow, Martin T.; Bass, Richard F. 17 1999 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 Self-intersection local time: critical exponent, large deviations, and laws of the iterated logarithm. Zbl 1075.60097Bass, Richard F.; Chen, Xia 16 2004 Hölder domains and the boundary Harnack principle. Zbl 0755.35027Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof 16 1991 Stochastic differential equations driven by stable processes for which pathwise uniqueness fails. Zbl 1111.60038Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing 15 2004 The martingale problem for a class of stable-like processes. Zbl 1163.60323Bass, Richard F.; Tang, Huili 14 2009 Symmetric Markov chains on \(\mathbb{Z}^d\) with unbounded range. Zbl 1130.60076Bass, Richard F.; Kumagai, Takashi 14 2008 Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks. Zbl 1112.60016Bass, Richard F.; Chen, Xia; Rosen, Jay 13 2006 The boundary Harnack principle for non-divergence form elliptic operators. Zbl 0806.35025Bass, Richard F.; Burdzy, Krzysztof 13 1994 Intersection local times and Tanaka formulas. Zbl 0798.60072Bass, Richard F.; Khoshnevisan, Davar 13 1993 Stochastic processes. Zbl 1247.60001Bass, Richard F. 12 2011 Large deviations for Riesz potentials of additive processes. Zbl 1181.60035Bass, Richard; Chen, Xia; Rosen, Jay 12 2009 Pathwise uniqueness for a degenerate stochastic differential equation. Zbl 1139.60027Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing 12 2007 The most visited sites of symmetric stable processes. Zbl 0955.60073Bass, Richard F.; Eisenbaum, Nathalie; Shi, Zhan 12 2000 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 Probability estimates for multiparameter Brownian processes. Zbl 0645.60044Bass, Richard F. 12 1988 The space D(A) and weak convergence for set-indexed processes. Zbl 0585.60007Bass, Richard F.; Pyke, Ronald 12 1985 Functional law of the iterated logarithm and uniform central limit theorem for partial-sum processes indexed by sets. Zbl 0572.60037Bass, Richard F.; Pyke, Ronald 12 1984 Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055Bass, Richard F.; Chen, Zhen-Qing 11 2010 On the Robin problem in fractal domains. Zbl 1136.60045Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing 11 2008 Uniqueness for reflecting Brownian motion in Lip domains. Zbl 1067.60036Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing 11 2005 Law of the iterated logarithm for set-indexed partial sum processes with finite variance. Zbl 0575.60034Bass, Richard F. 11 1985 Large deviations for renormalized self-intersection local times of stable processes. Zbl 1087.60060Bass, Richard; Chen, Xia; Rosen, Jay 10 2005 Coupling and Harnack inequalities for Sierpinski carpets. Zbl 0782.60017Barlow, Martin T.; Bass, Richard F. 10 1993 Joint continuity and representations of additive functionals of d- dimensional Brownian motion. Zbl 0543.60080Bass, Richard 10 1984 A strong law of large numbers for partial-sum processes indexed by sets. Zbl 0543.60036Bass, Richard F.; Pyke, Ronald 10 1984 Relevant sampling of band-limited functions. Zbl 1372.94378Bass, Richard F.; Gröchenig, Karlheinz 9 2013 Meyers inequality and strong stability for stable-like operators. Zbl 1295.47047Bass, Richard F.; Ren, Hua 9 2013 Stochastic differential equations for Dirichlet processes. Zbl 0995.60053Bass, Richard F.; Chen, Zhen-Qing 9 2001 Divergence form operators on fractal-like domains. Zbl 0968.58022Barlow, Martin T.; Bass, Richard F. 9 2000 Skorokhod imbedding via stochastic integrals. Zbl 0509.60080Bass, Richard F. 9 1983 Random sampling of bandlimited functions. Zbl 1213.42103Bass, Richard F.; Gröchenig, Karlheinz 8 2010 Laws of the iterated logarithm for the range of random walks in two and three dimensions. Zbl 1031.60031Bass, Richard F.; Kumagai, Takashi 8 2002 On Aronson’s upper bounds for heat kernels. Zbl 1032.35008Bass, Richard F. 8 2002 Strong approximations to Brownian local time. Zbl 0789.60062Bass, Richard F.; Khoshnevisan, Davar 8 1992 Local times on curves and uniform invariance principles. Zbl 0767.60070Bass, Richard F.; Khoshnevisan, Davar 8 1992 Adding and subtracting jumps from Markov processes. Zbl 0424.60076Bass, Richard F. 8 1979 A stochastic differential equation with a sticky point. Zbl 1291.60113Bass, Richard 7 2014 Convergence of symmetric Markov chains on \({\mathbb{Z}^d}\). Zbl 1200.60060Bass, Richard F.; Kumagai, Takashi; Uemura, Toshihiro 7 2010 A Fatou theorem for \(\alpha\)-harmonic functions. Zbl 1036.31004Bass, Richard F.; You, Dahae 7 2003 Stochastic bifurcation models. Zbl 0943.60087Bass, Richard F.; Burdzy, Krzysztof 7 1999 Conditioned Brownian motion in planar domains. Zbl 0834.60089Bass, Richard F.; Burdzy, Krzysztof 7 1995 Occupation time densities for stable-like processes and other pure jump Markov processes. Zbl 0655.60063Bass, Richard F. 7 1988 The existence of set-indexed Lévy processes. Zbl 0525.60079Bass, Richard F.; Pyke, Ronald 7 1984 The measurability of hitting times. Zbl 1202.60054Bass, Richard F. 6 2010 Stationary distributions for diffusions with inert drift. Zbl 1210.60058Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin 6 2010 Laws of the iterated logarithm for some symmetric diffusion processes. Zbl 0972.60007Bass, Richard F.; Kumagai, Takashi 6 2000 Rates of convergence to Brownian local time. Zbl 0783.60072Bass, Richard F.; Khoshnevisan, Davar 6 1993 A probabilistic proof of the boundary Harnack principle. Zbl 0689.60070Bass, Richard F.; Burdzy, Krzysztof 6 1990 \(L_ p\) inequalities for functionals of Brownian motion. Zbl 0616.60046Bass, Richard 6 1987 A stability theorem for elliptic Harnack inequalities. Zbl 1266.31005Bass, Richard F. 5 2013 A new technique for proving uniqueness for martingale problems. Zbl 1203.60119Bass, Richard F.; Perkins, Edwin 5 2009 Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type. Zbl 1089.60037Athreya, Siva R.; Bass, Richard F.; Gordina, Maria; Perkins, Edwin A. 5 2006 Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces. Zbl 1131.35008Athreya, Siva R.; Bass, Richard F.; Perkins, Edwin A. 5 2005 Diffusions on the Sierpiński carpet. Zbl 1010.60075Bass, Richard F. 5 1997 The Doob-Meyer decomposition revisited. Zbl 0880.60046Bass, Richard F. 5 1996 Laws of the iterated logarithm for local times of the empirical process. Zbl 0845.60079Bass, Richard F.; Khoshnevisan, Davar 5 1995 Markov processes and convex minorants. Zbl 0575.60080Bass, Richard F. 5 1984 Local times for a class of purely discontinuous martingales. Zbl 0551.60047Bass, Richard F. 5 1984 Degenerate stochastic differential equations arising from catalytic branching networks. Zbl 1191.60070Bass, Richard F.; Perkins, Edwin A. 4 2008 Pathwise uniqueness for reflecting Brownian motion in Euclidean domains. Zbl 0957.60070Bass, Richard F.; Hsu, Elton P. 4 2000 A central limit theorem for D(A)-valued processes. Zbl 0617.60020Bass, Richard F.; Pyke, Ronald 4 1987 Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains. Zbl 1110.60075Bass, Richard F.; Burdzy, Krzysztof 3 2006 Countable systems of degenerate stochastic differential equations with applications to super-Markov chains. Zbl 1067.60037Bass, Richard F.; Perkins, Edwin A. 3 2004 A stochastic differential equation with a sticky point. Zbl 1291.60113Bass, Richard 7 2014 Relevant sampling of band-limited functions. Zbl 1372.94378Bass, Richard F.; Gröchenig, Karlheinz 9 2013 Meyers inequality and strong stability for stable-like operators. Zbl 1295.47047Bass, Richard F.; Ren, Hua 9 2013 A stability theorem for elliptic Harnack inequalities. Zbl 1266.31005Bass, Richard F. 5 2013 Harnack inequalities in infinite dimensions. Zbl 1266.60098Bass, Richard F.; Gordina, Maria 2 2012 Stochastic processes. Zbl 1247.60001Bass, Richard F. 12 2011 Correction to “The measurability of hitting times”. Zbl 1227.60042Bass, Richard 2 2011 Uniqueness of Brownian motion on Sierpiński carpets. Zbl 1200.60070Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi; Teplyaev, Alexander 39 2010 Symmetric jump processes: localization, heat kernels and convergence. Zbl 1201.60078Bass, Richard F.; Kassmann, Moritz; Kumagai, Takashi 27 2010 Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055Bass, Richard F.; Chen, Zhen-Qing 11 2010 Random sampling of bandlimited functions. Zbl 1213.42103Bass, Richard F.; Gröchenig, Karlheinz 8 2010 Convergence of symmetric Markov chains on \({\mathbb{Z}^d}\). Zbl 1200.60060Bass, Richard F.; Kumagai, Takashi; Uemura, Toshihiro 7 2010 The measurability of hitting times. Zbl 1202.60054Bass, Richard F. 6 2010 Stationary distributions for diffusions with inert drift. Zbl 1210.60058Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin 6 2010 Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz 106 2009 Regularity results for stable-like operators. Zbl 1177.45013Bass, Richard F. 30 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 The martingale problem for a class of stable-like processes. Zbl 1163.60323Bass, Richard F.; Tang, Huili 14 2009 Large deviations for Riesz potentials of additive processes. Zbl 1181.60035Bass, Richard; Chen, Xia; Rosen, Jay 12 2009 A new technique for proving uniqueness for martingale problems. Zbl 1203.60119Bass, Richard F.; Perkins, Edwin 5 2009 Symmetric Markov chains on \(\mathbb{Z}^d\) with unbounded range. Zbl 1130.60076Bass, Richard F.; Kumagai, Takashi 14 2008 On the Robin problem in fractal domains. Zbl 1136.60045Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing 11 2008 Degenerate stochastic differential equations arising from catalytic branching networks. Zbl 1191.60070Bass, Richard F.; Perkins, Edwin A. 4 2008 On pathwise uniqueness for reflecting Brownian motion in \(C^{1+\gamma}\) domains. Zbl 1167.60020Bass, Richard F.; Burdzy, Krzysztof 2 2008 Pathwise uniqueness for a degenerate stochastic differential equation. Zbl 1139.60027Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing 12 2007 The submartingale problem for a class of degenerate elliptic operators. Zbl 1136.60037Bass, Richard F.; Lavrentiev, Alexander 2 2007 Frequent points for random walks in two dimensions. Zbl 1127.60042Bass, Richard F.; Rosen, Jay 1 2007 Stability of parabolic Harnack inequalities on metric measure spaces. Zbl 1102.60064Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi 50 2006 Systems of equations driven by stable processes. Zbl 1085.60035Bass, Richard F.; Chen, Zhen-Qing 24 2006 Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks. Zbl 1112.60016Bass, Richard F.; Chen, Xia; Rosen, Jay 13 2006 Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type. Zbl 1089.60037Athreya, Siva R.; Bass, Richard F.; Gordina, Maria; Perkins, Edwin A. 5 2006 Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains. Zbl 1110.60075Bass, Richard F.; Burdzy, Krzysztof 3 2006 Harnack inequalities for non-local operators of variable order. Zbl 1052.60060Bass, Richard F.; Kassmann, Moritz 58 2005 Hölder continuity of harmonic functions with respect to operators of variable order. Zbl 1087.45004Bass, Richard F.; Kassmann, Moritz 55 2005 One-dimensional stochastic differential equations with singular and degenerate coefficients. Zbl 1192.60081Bass, Richard F.; Chen, Zhen-Qing 20 2005 Uniqueness for reflecting Brownian motion in Lip domains. Zbl 1067.60036Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing 11 2005 Large deviations for renormalized self-intersection local times of stable processes. Zbl 1087.60060Bass, Richard; Chen, Xia; Rosen, Jay 10 2005 Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces. Zbl 1131.35008Athreya, Siva R.; Bass, Richard F.; Perkins, Edwin A. 5 2005 A Fatou theorem for \(\alpha\)-harmonic functions in Lipschitz domains. Zbl 1091.31003Bass, Richard F.; You, Dahae 2 2005 An almost sure invariance principle for the range of planar random walks. Zbl 1085.60018Bass, Richard F.; Rosen, Jay 2 2005 An almost sure invariance principle for renormalized intersection local times. Zbl 1084.60021Bass, Richard F.; Rosen, Jay 1 2005 Stochastic differential equations with jumps. Zbl 1189.60114Bass, Richard F. 42 2004 Stability of parabolic Harnack inequalities. Zbl 1034.60070Barlow, Martin T.; Bass, Richard F. 33 2004 Random sampling of multivariate trigonometric polynomials. Zbl 1096.94008Bass, Richard F.; Gröchenig, Karlheinz 27 2004 Self-intersection local time: critical exponent, large deviations, and laws of the iterated logarithm. Zbl 1075.60097Bass, Richard F.; Chen, Xia 16 2004 Stochastic differential equations driven by stable processes for which pathwise uniqueness fails. Zbl 1111.60038Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing 15 2004 Countable systems of degenerate stochastic differential equations with applications to super-Markov chains. Zbl 1067.60037Bass, Richard F.; Perkins, Edwin A. 3 2004 On the lift-off constant for elastically supported plates. Zbl 1127.35008Bass, R. F.; Horák, J.; McKenna, P. J. 1 2004 Brownian motion with singular drift. Zbl 1029.60044Bass, Richard F.; Chen, Zhen-Qing 30 2003 Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains. Zbl 1007.60055Bass, Richard F.; Perkins, Edwin A. 30 2003 Stochastic differential equations driven by symmetric stable processes. Zbl 1039.60056Bass, Richard F. 19 2003 A Fatou theorem for \(\alpha\)-harmonic functions. Zbl 1036.31004Bass, Richard F.; You, Dahae 7 2003 Harnack inequalities for jump processes. Zbl 0997.60089Bass, Richard F.; Levin, David A. 101 2002 Transition probabilities for symmetric jump processes. Zbl 0993.60070Bass, Richard F.; Levin, David A. 63 2002 Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A. 29 2002 Extending the Wong-Zakai theorem to reversible Markov processes. Zbl 1010.60070Bass, R. F.; Hambly, B. M.; Lyons, T. J. 17 2002 Laws of the iterated logarithm for the range of random walks in two and three dimensions. Zbl 1031.60031Bass, Richard F.; Kumagai, Takashi 8 2002 On Aronson’s upper bounds for heat kernels. Zbl 1032.35008Bass, Richard F. 8 2002 Stochastic differential equations for Dirichlet processes. Zbl 0995.60053Bass, Richard F.; Chen, Zhen-Qing 9 2001 The supremum of Brownian local times on Hölder curves. Zbl 0995.60076Bass, Richard F.; Burdzy, Krzysztof 2 2001 The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng 53 2000 Fiber Brownian motion and the “hot spots” problem. Zbl 1006.60078Bass, Richard F.; Burdzy, Krzysztof 17 2000 The most visited sites of symmetric stable processes. Zbl 0955.60073Bass, Richard F.; Eisenbaum, Nathalie; Shi, Zhan 12 2000 Divergence form operators on fractal-like domains. Zbl 0968.58022Barlow, Martin T.; Bass, Richard F. 9 2000 Laws of the iterated logarithm for some symmetric diffusion processes. Zbl 0972.60007Bass, Richard F.; Kumagai, Takashi 6 2000 Pathwise uniqueness for reflecting Brownian motion in Euclidean domains. Zbl 0957.60070Bass, Richard F.; Hsu, Elton P. 4 2000 Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071Barlow, Martin T.; Bass, Richard F. 103 1999 Random walks on graphical Sierpinski carpets. Zbl 0958.60045Barlow, Martin T.; Bass, Richard F. 17 1999 Stochastic bifurcation models. Zbl 0943.60087Bass, Richard F.; Burdzy, Krzysztof 7 1999 Cutting Brownian paths. Zbl 0937.60077Bass, Richard F.; Burdzy, Krzysztof 2 1999 Diffusions and elliptic operators. Zbl 0914.60009Bass, Richard F. 106 1998 Diffusions on the Sierpiński carpet. Zbl 1010.60075Bass, Richard F. 5 1997 The Doob-Meyer decomposition revisited. Zbl 0880.60046Bass, Richard F. 5 1996 Eigenvalue expansions for Brownian motion with an application to occupation times. Zbl 0891.60079Bass, Richard F.; Burdzy, Krzysztof 3 1996 Uniqueness for the Skorokhod equation with normal reflection in Lipschitz domains. Zbl 0888.60067Bass, Richard F. 1 1996 A critical case for Brownian slow points. Zbl 0854.60039Bass, Richard F.; Burdzy, Krzysztof 1 1996 Probabilistic techniques in analysis. Zbl 0817.60001Bass, Richard F. 108 1995 Conditioned Brownian motion in planar domains. Zbl 0834.60089Bass, Richard F.; Burdzy, Krzysztof 7 1995 Laws of the iterated logarithm for local times of the empirical process. Zbl 0845.60079Bass, Richard F.; Khoshnevisan, Davar 5 1995 Brownian motion, heat kernels, and harmonic functions. Zbl 0849.31008Bass, Richard F. 1 1995 The boundary Harnack principle for non-divergence form elliptic operators. Zbl 0806.35025Bass, Richard F.; Burdzy, Krzysztof 13 1994 Intersection local time for points of infinite multiplicity. Zbl 0814.60078Bass, Richard F.; Burdzy, Krzysztof; Khoshnevisan, Davar 3 1994 Intersection local times and Tanaka formulas. Zbl 0798.60072Bass, Richard F.; Khoshnevisan, Davar 13 1993 Coupling and Harnack inequalities for Sierpinski carpets. Zbl 0782.60017Barlow, Martin T.; Bass, Richard F. 10 1993 Rates of convergence to Brownian local time. Zbl 0783.60072Bass, Richard F.; Khoshnevisan, Davar 6 1993 The Martin boundary in non-Lipschitz domains. Zbl 0781.31010Bass, Richard F.; Burdzy, Krzysztof 3 1993 On domain monotonicity of the Neumann heat kernel. Zbl 0794.35065Bass, Richard F.; Burdzy, Krzysztof 2 1993 Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071Barlow, Martin T.; Bass, Richard F. 56 1992 Lifetimes of conditioned diffusions. Zbl 0739.60069Bass, Richard F.; Burdzy, Krzysztof 26 1992 Strong approximations to Brownian local time. Zbl 0789.60062Bass, Richard F.; Khoshnevisan, Davar 8 1992 Local times on curves and uniform invariance principles. Zbl 0767.60070Bass, Richard F.; Khoshnevisan, Davar 8 1992 Stochastic calculus and the continuity of local times of Lévy processes. Zbl 0778.60055Bass, Richard; Khoshnevisan, Davar 2 1992 Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains. Zbl 0732.60090Bass, Richard F.; Hsu, Pei 54 1991 A boundary Harnack principle in twisted Hölder domains. Zbl 0747.31008Bass, Richard F.; Burdzy, Krzysztof 26 1991 Hölder domains and the boundary Harnack principle. Zbl 0755.35027Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof 16 1991 On the resistance of the Sierpiński carpet. Zbl 0729.60108Barlow, M. T.; Bass, R. F. 25 1990 The semimartingale structure of reflecting Brownian motion. Zbl 0694.60075Bass, Richard F.; Hsu, Pei 18 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 A probabilistic proof of the boundary Harnack principle. Zbl 0689.60070Bass, Richard F.; Burdzy, Krzysztof 6 1990 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,386 Authors 65 Chen, Zhen-Qing 56 Bass, Richard F. 36 Kumagai, Takashi 33 Kim, Panki 32 Burdzy, Krzysztof 28 Song, Renming 21 Barlow, Martin T. 20 Hu, Jiaxin 20 Wang, Jian 19 Kassmann, Moritz 16 Chen, Xia 16 Teplyaev, Alexander 15 Grigor’yan, Alexander Asaturovich 15 Khoshnevisan, Davar 12 Hinz, Michael 11 Hambly, Ben M. 11 Lau, Kasing 11 Zhang, Xicheng 10 Karatzas, Ioannis 10 Menozzi, Stéphane 10 Rosen, Jay S. 10 Shkolnikov, Mykhaylo 10 Vondraček, Zoran 9 Földes, Antónia 9 Schilling, René Leander 9 Telcs, András 9 Zhang, Tusheng S. 8 Anh, Vo V. 8 Csáki, Endre 8 Ichiba, Tomoyuki 8 Mimica, Ante 8 Saloff-Coste, Laurent 8 Sandrić, Nikola 8 Uemura, Toshihiro 8 Yan, Litan 7 Bañuelos, Rodrigo 7 Bogdan, Krzysztof 7 Caffarelli, Luis Ángel 7 Croydon, David A. 7 Fazly, Mostafa 7 Grzywny, Tomasz 7 Hu, Yueyun 7 Murugan, Mathav Kishore 7 Priola, Enrico 7 Ros-Oton, Xavier 7 Ruiz-Medina, María Dolores 7 Sarantsev, Andrey 7 Strichartz, Robert S. 7 Wu, Jianglun 7 Zähle, Martina 6 Alessio, Francesca 6 Dembo, Amir 6 Hansen, Wolfhard 6 Kajino, Naotaka 6 Kigami, Jun 6 Kulczycki, Tadeusz 6 Lee, Ki-Ahm 6 Lejay, Antoine 6 Montecchiari, Piero 6 Nane, Erkan 6 Pop, Camelia Alexandra 6 Potts, Daniel 6 Shi, Zhan 6 Sire, Yannick 5 Aikawa, Hiroaki 5 Angulo, José Miguel 5 Chen, Xin 5 Csörgő, Miklós 5 Eisenbaum, Nathalie 5 Fernholz, Erhard Robert 5 Fukushima, Masatoshi 5 Hu, Yaozhong 5 Kulik, Alexey M. 5 Liu, Junfeng 5 Markowsky, Greg T. 5 Meerschaert, Mark M. 5 Mytnik, Leonid 5 Ngai, Sze-Man 5 Perkins, Edwin A. 5 Pyke, Ronald 5 Révész, Pál 5 Russo, Francesco 5 Ryznar, Michał 5 Serra Montolí, Joaquim 5 Vélez-Santiago, Alejandro 5 Wei, Juncheng 5 Williams, Ruth J. 5 Xiong, Jie 5 Zacher, Rico 4 Allouba, Hassan 4 Alvarez-Andrade, Sergio 4 Ankirchner, Stefan 4 Athreya, Siva R. 4 Bakhtin, Yuri Yu. 4 Bally, Vlad 4 Beiglböck, Mathias 4 Beznea, Lucian 4 Bogachev, Vladimir Igorevich 4 Capitanelli, Raffaela 4 Cerrai, Sandra ...and 1,286 more Authors all top 5 Cited in 245 Serials 120 Stochastic Processes and their Applications 89 The Annals of Probability 82 Probability Theory and Related Fields 70 Transactions of the American Mathematical Society 67 Journal of Functional Analysis 67 Potential Analysis 42 Journal of Theoretical Probability 38 Annales de l’Institut Henri Poincaré. 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A 2 Rocky Mountain Journal of Mathematics 2 Theory of Probability and its Applications 2 Acta Mathematica 2 Inventiones Mathematicae ...and 145 more Serials all top 5 Cited in 47 Fields 1,030 Probability theory and stochastic processes (60-XX) 417 Partial differential equations (35-XX) 181 Potential theory (31-XX) 163 Operator theory (47-XX) 117 Measure and integration (28-XX) 55 Functional analysis (46-XX) 53 Statistics (62-XX) 51 Statistical mechanics, structure of matter (82-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 44 Integral equations (45-XX) 43 Global analysis, analysis on manifolds (58-XX) 41 Numerical analysis (65-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 29 Ordinary differential equations (34-XX) 25 Functions of a complex variable (30-XX) 23 Combinatorics (05-XX) 23 Real functions (26-XX) 23 Dynamical systems and ergodic theory (37-XX) 23 Systems theory; control (93-XX) 22 Quantum theory (81-XX) 22 Information and communication theory, circuits (94-XX) 14 Biology and other natural sciences (92-XX) 12 Differential geometry (53-XX) 9 Approximations and expansions (41-XX) 9 Fluid mechanics (76-XX) 7 Computer science (68-XX) 7 Operations research, mathematical programming (90-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Convex and discrete geometry (52-XX) 4 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Group theory and generalizations (20-XX) 2 Mathematical logic and foundations (03-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year