×

zbMATH — the first resource for mathematics

Bass, Richard F.

Compute Distance To:
Author ID: bass.richard-f Recent zbMATH articles by "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

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

Publications by Year

Citations contained in zbMATH

128 Publications have been cited 2,264 times in 1,402 Documents Cited by Year
Probabilistic techniques in analysis. Zbl 0817.60001
Bass, Richard F.
108
1995
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
106
2009
Diffusions and elliptic operators. Zbl 0914.60009
Bass, Richard F.
106
1998
Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071
Barlow, Martin T.; Bass, Richard F.
103
1999
Harnack inequalities for jump processes. Zbl 0997.60089
Bass, Richard F.; Levin, David A.
101
2002
The construction of Brownian motion on the Sierpinski carpet. Zbl 0691.60070
Barlow, Martin T.; Bass, Richard F.
76
1989
Uniqueness in law for pure jump Markov processes. Zbl 0664.60080
Bass, R. F.
72
1988
Transition probabilities for symmetric jump processes. Zbl 0993.60070
Bass, Richard F.; Levin, David A.
63
2002
Harnack inequalities for non-local operators of variable order. Zbl 1052.60060
Bass, Richard F.; Kassmann, Moritz
58
2005
Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071
Barlow, Martin T.; Bass, Richard F.
56
1992
Hölder continuity of harmonic functions with respect to operators of variable order. Zbl 1087.45004
Bass, Richard F.; Kassmann, Moritz
55
2005
Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains. Zbl 0732.60090
Bass, Richard F.; Hsu, Pei
54
1991
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
50
2006
Uniqueness for diffusions with piecewise constant coefficients. Zbl 0617.60075
Bass, R. F.; Pardoux, E.
49
1987
Stochastic differential equations with jumps. Zbl 1189.60114
Bass, Richard F.
42
2004
Uniqueness of Brownian motion on Sierpiński carpets. Zbl 1200.60070
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi; Teplyaev, Alexander
39
2010
Stability of parabolic Harnack inequalities. Zbl 1034.60070
Barlow, Martin T.; Bass, Richard F.
33
2004
Regularity results for stable-like operators. Zbl 1177.45013
Bass, Richard F.
30
2009
Brownian motion with singular drift. Zbl 1029.60044
Bass, Richard F.; Chen, Zhen-Qing
30
2003
Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains. Zbl 1007.60055
Bass, Richard F.; Perkins, Edwin A.
30
2003
Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053
Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A.
29
2002
Symmetric jump processes: localization, heat kernels and convergence. Zbl 1201.60078
Bass, Richard F.; Kassmann, Moritz; Kumagai, Takashi
27
2010
Random sampling of multivariate trigonometric polynomials. Zbl 1096.94008
Bass, Richard F.; Gröchenig, Karlheinz
27
2004
Lifetimes of conditioned diffusions. Zbl 0739.60069
Bass, Richard F.; Burdzy, Krzysztof
26
1992
A boundary Harnack principle in twisted Hölder domains. Zbl 0747.31008
Bass, Richard F.; Burdzy, Krzysztof
26
1991
On the resistance of the Sierpiński carpet. Zbl 0729.60108
Barlow, M. T.; Bass, R. F.
25
1990
Systems of equations driven by stable processes. Zbl 1085.60035
Bass, Richard F.; Chen, Zhen-Qing
24
2006
The Malliavin calculus for pure jump processes and applications to local time. Zbl 0595.60044
Bass, R. F.; Cranston, M.
23
1986
The most visited site of Brownian motion and simple random walk. Zbl 0554.60076
Bass, Richard F.; Griffin, Philip S.
23
1985
One-dimensional stochastic differential equations with singular and degenerate coefficients. Zbl 1192.60081
Bass, Richard F.; Chen, Zhen-Qing
20
2005
Stochastic differential equations driven by symmetric stable processes. Zbl 1039.60056
Bass, Richard F.
19
2003
The semimartingale structure of reflecting Brownian motion. Zbl 0694.60075
Bass, Richard F.; Hsu, Pei
18
1990
Extending the Wong-Zakai theorem to reversible Markov processes. Zbl 1010.60070
Bass, R. F.; Hambly, B. M.; Lyons, T. J.
17
2002
Fiber Brownian motion and the “hot spots” problem. Zbl 1006.60078
Bass, Richard F.; Burdzy, Krzysztof
17
2000
Random walks on graphical Sierpinski carpets. Zbl 0958.60045
Barlow, Martin T.; Bass, Richard F.
17
1999
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
Self-intersection local time: critical exponent, large deviations, and laws of the iterated logarithm. Zbl 1075.60097
Bass, Richard F.; Chen, Xia
16
2004
Hölder domains and the boundary Harnack principle. Zbl 0755.35027
Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof
16
1991
Stochastic differential equations driven by stable processes for which pathwise uniqueness fails. Zbl 1111.60038
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
15
2004
The martingale problem for a class of stable-like processes. Zbl 1163.60323
Bass, Richard F.; Tang, Huili
14
2009
Symmetric Markov chains on \(\mathbb{Z}^d\) with unbounded range. Zbl 1130.60076
Bass, 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 1112.60016
Bass, Richard F.; Chen, Xia; Rosen, Jay
13
2006
The boundary Harnack principle for non-divergence form elliptic operators. Zbl 0806.35025
Bass, Richard F.; Burdzy, Krzysztof
13
1994
Intersection local times and Tanaka formulas. Zbl 0798.60072
Bass, Richard F.; Khoshnevisan, Davar
13
1993
Stochastic processes. Zbl 1247.60001
Bass, Richard F.
12
2011
Large deviations for Riesz potentials of additive processes. Zbl 1181.60035
Bass, Richard; Chen, Xia; Rosen, Jay
12
2009
Pathwise uniqueness for a degenerate stochastic differential equation. Zbl 1139.60027
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
12
2007
The most visited sites of symmetric stable processes. Zbl 0955.60073
Bass, Richard F.; Eisenbaum, Nathalie; Shi, Zhan
12
2000
Resistance and spectral dimension of Sierpinski carpets. Zbl 0717.58031
Barlow, M. T.; Bass, R. F.; Sherwood, J. D.
12
1990
Local times for Brownian motion on the Sierpinski carpet. Zbl 0685.60076
Barlow, Martin T.; Bass, Richard F.
12
1990
Probability estimates for multiparameter Brownian processes. Zbl 0645.60044
Bass, Richard F.
12
1988
The space D(A) and weak convergence for set-indexed processes. Zbl 0585.60007
Bass, 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 0572.60037
Bass, Richard F.; Pyke, Ronald
12
1984
Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055
Bass, Richard F.; Chen, Zhen-Qing
11
2010
On the Robin problem in fractal domains. Zbl 1136.60045
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
11
2008
Uniqueness for reflecting Brownian motion in Lip domains. Zbl 1067.60036
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
11
2005
Law of the iterated logarithm for set-indexed partial sum processes with finite variance. Zbl 0575.60034
Bass, Richard F.
11
1985
Large deviations for renormalized self-intersection local times of stable processes. Zbl 1087.60060
Bass, Richard; Chen, Xia; Rosen, Jay
10
2005
Coupling and Harnack inequalities for Sierpinski carpets. Zbl 0782.60017
Barlow, Martin T.; Bass, Richard F.
10
1993
Joint continuity and representations of additive functionals of d- dimensional Brownian motion. Zbl 0543.60080
Bass, Richard
10
1984
A strong law of large numbers for partial-sum processes indexed by sets. Zbl 0543.60036
Bass, Richard F.; Pyke, Ronald
10
1984
Relevant sampling of band-limited functions. Zbl 1372.94378
Bass, Richard F.; Gröchenig, Karlheinz
9
2013
Meyers inequality and strong stability for stable-like operators. Zbl 1295.47047
Bass, Richard F.; Ren, Hua
9
2013
Stochastic differential equations for Dirichlet processes. Zbl 0995.60053
Bass, Richard F.; Chen, Zhen-Qing
9
2001
Divergence form operators on fractal-like domains. Zbl 0968.58022
Barlow, Martin T.; Bass, Richard F.
9
2000
Skorokhod imbedding via stochastic integrals. Zbl 0509.60080
Bass, Richard F.
9
1983
Random sampling of bandlimited functions. Zbl 1213.42103
Bass, Richard F.; Gröchenig, Karlheinz
8
2010
Laws of the iterated logarithm for the range of random walks in two and three dimensions. Zbl 1031.60031
Bass, Richard F.; Kumagai, Takashi
8
2002
On Aronson’s upper bounds for heat kernels. Zbl 1032.35008
Bass, Richard F.
8
2002
Strong approximations to Brownian local time. Zbl 0789.60062
Bass, Richard F.; Khoshnevisan, Davar
8
1992
Local times on curves and uniform invariance principles. Zbl 0767.60070
Bass, Richard F.; Khoshnevisan, Davar
8
1992
Adding and subtracting jumps from Markov processes. Zbl 0424.60076
Bass, Richard F.
8
1979
A stochastic differential equation with a sticky point. Zbl 1291.60113
Bass, Richard
7
2014
Convergence of symmetric Markov chains on \({\mathbb{Z}^d}\). Zbl 1200.60060
Bass, Richard F.; Kumagai, Takashi; Uemura, Toshihiro
7
2010
A Fatou theorem for \(\alpha\)-harmonic functions. Zbl 1036.31004
Bass, Richard F.; You, Dahae
7
2003
Stochastic bifurcation models. Zbl 0943.60087
Bass, Richard F.; Burdzy, Krzysztof
7
1999
Conditioned Brownian motion in planar domains. Zbl 0834.60089
Bass, Richard F.; Burdzy, Krzysztof
7
1995
Occupation time densities for stable-like processes and other pure jump Markov processes. Zbl 0655.60063
Bass, Richard F.
7
1988
The existence of set-indexed Lévy processes. Zbl 0525.60079
Bass, Richard F.; Pyke, Ronald
7
1984
The measurability of hitting times. Zbl 1202.60054
Bass, Richard F.
6
2010
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
6
2010
Laws of the iterated logarithm for some symmetric diffusion processes. Zbl 0972.60007
Bass, Richard F.; Kumagai, Takashi
6
2000
Rates of convergence to Brownian local time. Zbl 0783.60072
Bass, Richard F.; Khoshnevisan, Davar
6
1993
A probabilistic proof of the boundary Harnack principle. Zbl 0689.60070
Bass, Richard F.; Burdzy, Krzysztof
6
1990
\(L_ p\) inequalities for functionals of Brownian motion. Zbl 0616.60046
Bass, Richard
6
1987
A stability theorem for elliptic Harnack inequalities. Zbl 1266.31005
Bass, Richard F.
5
2013
A new technique for proving uniqueness for martingale problems. Zbl 1203.60119
Bass, Richard F.; Perkins, Edwin
5
2009
Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type. Zbl 1089.60037
Athreya, 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 1131.35008
Athreya, Siva R.; Bass, Richard F.; Perkins, Edwin A.
5
2005
Diffusions on the Sierpiński carpet. Zbl 1010.60075
Bass, Richard F.
5
1997
The Doob-Meyer decomposition revisited. Zbl 0880.60046
Bass, Richard F.
5
1996
Laws of the iterated logarithm for local times of the empirical process. Zbl 0845.60079
Bass, Richard F.; Khoshnevisan, Davar
5
1995
Markov processes and convex minorants. Zbl 0575.60080
Bass, Richard F.
5
1984
Local times for a class of purely discontinuous martingales. Zbl 0551.60047
Bass, Richard F.
5
1984
Degenerate stochastic differential equations arising from catalytic branching networks. Zbl 1191.60070
Bass, Richard F.; Perkins, Edwin A.
4
2008
Pathwise uniqueness for reflecting Brownian motion in Euclidean domains. Zbl 0957.60070
Bass, Richard F.; Hsu, Elton P.
4
2000
A central limit theorem for D(A)-valued processes. Zbl 0617.60020
Bass, Richard F.; Pyke, Ronald
4
1987
Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains. Zbl 1110.60075
Bass, Richard F.; Burdzy, Krzysztof
3
2006
Countable systems of degenerate stochastic differential equations with applications to super-Markov chains. Zbl 1067.60037
Bass, Richard F.; Perkins, Edwin A.
3
2004
A stochastic differential equation with a sticky point. Zbl 1291.60113
Bass, Richard
7
2014
Relevant sampling of band-limited functions. Zbl 1372.94378
Bass, Richard F.; Gröchenig, Karlheinz
9
2013
Meyers inequality and strong stability for stable-like operators. Zbl 1295.47047
Bass, Richard F.; Ren, Hua
9
2013
A stability theorem for elliptic Harnack inequalities. Zbl 1266.31005
Bass, Richard F.
5
2013
Harnack inequalities in infinite dimensions. Zbl 1266.60098
Bass, Richard F.; Gordina, Maria
2
2012
Stochastic processes. Zbl 1247.60001
Bass, Richard F.
12
2011
Correction to “The measurability of hitting times”. Zbl 1227.60042
Bass, Richard
2
2011
Uniqueness of Brownian motion on Sierpiński carpets. Zbl 1200.60070
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi; Teplyaev, Alexander
39
2010
Symmetric jump processes: localization, heat kernels and convergence. Zbl 1201.60078
Bass, Richard F.; Kassmann, Moritz; Kumagai, Takashi
27
2010
Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055
Bass, Richard F.; Chen, Zhen-Qing
11
2010
Random sampling of bandlimited functions. Zbl 1213.42103
Bass, Richard F.; Gröchenig, Karlheinz
8
2010
Convergence of symmetric Markov chains on \({\mathbb{Z}^d}\). Zbl 1200.60060
Bass, Richard F.; Kumagai, Takashi; Uemura, Toshihiro
7
2010
The measurability of hitting times. Zbl 1202.60054
Bass, Richard F.
6
2010
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
6
2010
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
106
2009
Regularity results for stable-like operators. Zbl 1177.45013
Bass, Richard F.
30
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
The martingale problem for a class of stable-like processes. Zbl 1163.60323
Bass, Richard F.; Tang, Huili
14
2009
Large deviations for Riesz potentials of additive processes. Zbl 1181.60035
Bass, Richard; Chen, Xia; Rosen, Jay
12
2009
A new technique for proving uniqueness for martingale problems. Zbl 1203.60119
Bass, Richard F.; Perkins, Edwin
5
2009
Symmetric Markov chains on \(\mathbb{Z}^d\) with unbounded range. Zbl 1130.60076
Bass, Richard F.; Kumagai, Takashi
14
2008
On the Robin problem in fractal domains. Zbl 1136.60045
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
11
2008
Degenerate stochastic differential equations arising from catalytic branching networks. Zbl 1191.60070
Bass, Richard F.; Perkins, Edwin A.
4
2008
On pathwise uniqueness for reflecting Brownian motion in \(C^{1+\gamma}\) domains. Zbl 1167.60020
Bass, Richard F.; Burdzy, Krzysztof
2
2008
Pathwise uniqueness for a degenerate stochastic differential equation. Zbl 1139.60027
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
12
2007
The submartingale problem for a class of degenerate elliptic operators. Zbl 1136.60037
Bass, Richard F.; Lavrentiev, Alexander
2
2007
Frequent points for random walks in two dimensions. Zbl 1127.60042
Bass, Richard F.; Rosen, Jay
1
2007
Stability of parabolic Harnack inequalities on metric measure spaces. Zbl 1102.60064
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi
50
2006
Systems of equations driven by stable processes. Zbl 1085.60035
Bass, 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 1112.60016
Bass, Richard F.; Chen, Xia; Rosen, Jay
13
2006
Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type. Zbl 1089.60037
Athreya, Siva R.; Bass, Richard F.; Gordina, Maria; Perkins, Edwin A.
5
2006
Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains. Zbl 1110.60075
Bass, Richard F.; Burdzy, Krzysztof
3
2006
Harnack inequalities for non-local operators of variable order. Zbl 1052.60060
Bass, Richard F.; Kassmann, Moritz
58
2005
Hölder continuity of harmonic functions with respect to operators of variable order. Zbl 1087.45004
Bass, Richard F.; Kassmann, Moritz
55
2005
One-dimensional stochastic differential equations with singular and degenerate coefficients. Zbl 1192.60081
Bass, Richard F.; Chen, Zhen-Qing
20
2005
Uniqueness for reflecting Brownian motion in Lip domains. Zbl 1067.60036
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
11
2005
Large deviations for renormalized self-intersection local times of stable processes. Zbl 1087.60060
Bass, Richard; Chen, Xia; Rosen, Jay
10
2005
Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces. Zbl 1131.35008
Athreya, Siva R.; Bass, Richard F.; Perkins, Edwin A.
5
2005
A Fatou theorem for \(\alpha\)-harmonic functions in Lipschitz domains. Zbl 1091.31003
Bass, Richard F.; You, Dahae
2
2005
An almost sure invariance principle for the range of planar random walks. Zbl 1085.60018
Bass, Richard F.; Rosen, Jay
2
2005
An almost sure invariance principle for renormalized intersection local times. Zbl 1084.60021
Bass, Richard F.; Rosen, Jay
1
2005
Stochastic differential equations with jumps. Zbl 1189.60114
Bass, Richard F.
42
2004
Stability of parabolic Harnack inequalities. Zbl 1034.60070
Barlow, Martin T.; Bass, Richard F.
33
2004
Random sampling of multivariate trigonometric polynomials. Zbl 1096.94008
Bass, Richard F.; Gröchenig, Karlheinz
27
2004
Self-intersection local time: critical exponent, large deviations, and laws of the iterated logarithm. Zbl 1075.60097
Bass, Richard F.; Chen, Xia
16
2004
Stochastic differential equations driven by stable processes for which pathwise uniqueness fails. Zbl 1111.60038
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
15
2004
Countable systems of degenerate stochastic differential equations with applications to super-Markov chains. Zbl 1067.60037
Bass, Richard F.; Perkins, Edwin A.
3
2004
On the lift-off constant for elastically supported plates. Zbl 1127.35008
Bass, R. F.; Horák, J.; McKenna, P. J.
1
2004
Brownian motion with singular drift. Zbl 1029.60044
Bass, Richard F.; Chen, Zhen-Qing
30
2003
Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains. Zbl 1007.60055
Bass, Richard F.; Perkins, Edwin A.
30
2003
Stochastic differential equations driven by symmetric stable processes. Zbl 1039.60056
Bass, Richard F.
19
2003
A Fatou theorem for \(\alpha\)-harmonic functions. Zbl 1036.31004
Bass, Richard F.; You, Dahae
7
2003
Harnack inequalities for jump processes. Zbl 0997.60089
Bass, Richard F.; Levin, David A.
101
2002
Transition probabilities for symmetric jump processes. Zbl 0993.60070
Bass, Richard F.; Levin, David A.
63
2002
Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053
Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A.
29
2002
Extending the Wong-Zakai theorem to reversible Markov processes. Zbl 1010.60070
Bass, 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 1031.60031
Bass, Richard F.; Kumagai, Takashi
8
2002
On Aronson’s upper bounds for heat kernels. Zbl 1032.35008
Bass, Richard F.
8
2002
Stochastic differential equations for Dirichlet processes. Zbl 0995.60053
Bass, Richard F.; Chen, Zhen-Qing
9
2001
The supremum of Brownian local times on Hölder curves. Zbl 0995.60076
Bass, Richard F.; Burdzy, Krzysztof
2
2001
The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526
Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng
53
2000
Fiber Brownian motion and the “hot spots” problem. Zbl 1006.60078
Bass, Richard F.; Burdzy, Krzysztof
17
2000
The most visited sites of symmetric stable processes. Zbl 0955.60073
Bass, Richard F.; Eisenbaum, Nathalie; Shi, Zhan
12
2000
Divergence form operators on fractal-like domains. Zbl 0968.58022
Barlow, Martin T.; Bass, Richard F.
9
2000
Laws of the iterated logarithm for some symmetric diffusion processes. Zbl 0972.60007
Bass, Richard F.; Kumagai, Takashi
6
2000
Pathwise uniqueness for reflecting Brownian motion in Euclidean domains. Zbl 0957.60070
Bass, Richard F.; Hsu, Elton P.
4
2000
Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071
Barlow, Martin T.; Bass, Richard F.
103
1999
Random walks on graphical Sierpinski carpets. Zbl 0958.60045
Barlow, Martin T.; Bass, Richard F.
17
1999
Stochastic bifurcation models. Zbl 0943.60087
Bass, Richard F.; Burdzy, Krzysztof
7
1999
Cutting Brownian paths. Zbl 0937.60077
Bass, Richard F.; Burdzy, Krzysztof
2
1999
Diffusions and elliptic operators. Zbl 0914.60009
Bass, Richard F.
106
1998
Diffusions on the Sierpiński carpet. Zbl 1010.60075
Bass, Richard F.
5
1997
The Doob-Meyer decomposition revisited. Zbl 0880.60046
Bass, Richard F.
5
1996
Eigenvalue expansions for Brownian motion with an application to occupation times. Zbl 0891.60079
Bass, Richard F.; Burdzy, Krzysztof
3
1996
Uniqueness for the Skorokhod equation with normal reflection in Lipschitz domains. Zbl 0888.60067
Bass, Richard F.
1
1996
A critical case for Brownian slow points. Zbl 0854.60039
Bass, Richard F.; Burdzy, Krzysztof
1
1996
Probabilistic techniques in analysis. Zbl 0817.60001
Bass, Richard F.
108
1995
Conditioned Brownian motion in planar domains. Zbl 0834.60089
Bass, Richard F.; Burdzy, Krzysztof
7
1995
Laws of the iterated logarithm for local times of the empirical process. Zbl 0845.60079
Bass, Richard F.; Khoshnevisan, Davar
5
1995
Brownian motion, heat kernels, and harmonic functions. Zbl 0849.31008
Bass, Richard F.
1
1995
The boundary Harnack principle for non-divergence form elliptic operators. Zbl 0806.35025
Bass, Richard F.; Burdzy, Krzysztof
13
1994
Intersection local time for points of infinite multiplicity. Zbl 0814.60078
Bass, Richard F.; Burdzy, Krzysztof; Khoshnevisan, Davar
3
1994
Intersection local times and Tanaka formulas. Zbl 0798.60072
Bass, Richard F.; Khoshnevisan, Davar
13
1993
Coupling and Harnack inequalities for Sierpinski carpets. Zbl 0782.60017
Barlow, Martin T.; Bass, Richard F.
10
1993
Rates of convergence to Brownian local time. Zbl 0783.60072
Bass, Richard F.; Khoshnevisan, Davar
6
1993
The Martin boundary in non-Lipschitz domains. Zbl 0781.31010
Bass, Richard F.; Burdzy, Krzysztof
3
1993
On domain monotonicity of the Neumann heat kernel. Zbl 0794.35065
Bass, Richard F.; Burdzy, Krzysztof
2
1993
Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071
Barlow, Martin T.; Bass, Richard F.
56
1992
Lifetimes of conditioned diffusions. Zbl 0739.60069
Bass, Richard F.; Burdzy, Krzysztof
26
1992
Strong approximations to Brownian local time. Zbl 0789.60062
Bass, Richard F.; Khoshnevisan, Davar
8
1992
Local times on curves and uniform invariance principles. Zbl 0767.60070
Bass, Richard F.; Khoshnevisan, Davar
8
1992
Stochastic calculus and the continuity of local times of Lévy processes. Zbl 0778.60055
Bass, Richard; Khoshnevisan, Davar
2
1992
Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains. Zbl 0732.60090
Bass, Richard F.; Hsu, Pei
54
1991
A boundary Harnack principle in twisted Hölder domains. Zbl 0747.31008
Bass, Richard F.; Burdzy, Krzysztof
26
1991
Hölder domains and the boundary Harnack principle. Zbl 0755.35027
Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof
16
1991
On the resistance of the Sierpiński carpet. Zbl 0729.60108
Barlow, M. T.; Bass, R. F.
25
1990
The semimartingale structure of reflecting Brownian motion. Zbl 0694.60075
Bass, Richard F.; Hsu, Pei
18
1990
Resistance and spectral dimension of Sierpinski carpets. Zbl 0717.58031
Barlow, M. T.; Bass, R. F.; Sherwood, J. D.
12
1990
Local times for Brownian motion on the Sierpinski carpet. Zbl 0685.60076
Barlow, Martin T.; Bass, Richard F.
12
1990
A probabilistic proof of the boundary Harnack principle. Zbl 0689.60070
Bass, Richard F.; Burdzy, Krzysztof
6
1990
...and 28 more Documents
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. Probabilités et Statistiques
35 Journal of Mathematical Analysis and Applications
30 Journal of Differential Equations
27 The Annals of Applied Probability
23 Statistics & Probability Letters
20 Proceedings of the American Mathematical Society
17 Communications in Mathematical Physics
15 Stochastic Analysis and Applications
15 Stochastics and Dynamics
14 Calculus of Variations and Partial Differential Equations
13 Journal of Statistical Physics
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Communications in Partial Differential Equations
13 Bernoulli
13 Discrete and Continuous Dynamical Systems
11 Science China. Mathematics
10 Osaka Journal of Mathematics
9 Journal d’Analyse Mathématique
9 Mathematische Zeitschrift
9 Electronic Journal of Probability
9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Journal of Approximation Theory
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 NoDEA. Nonlinear Differential Equations and Applications
7 Communications on Pure and Applied Mathematics
7 Advances in Mathematics
7 Journal of Applied Probability
7 Journal of the Mathematical Society of Japan
7 Mathematische Annalen
7 Revista Matemática Iberoamericana
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Applied and Computational Harmonic Analysis
7 Frontiers of Mathematics in China
6 Archive for Rational Mechanics and Analysis
6 Journal of Mathematical Physics
6 The Annals of Statistics
6 Duke Mathematical Journal
6 Journal of Computational and Applied Mathematics
6 Mathematische Nachrichten
6 Forum Mathematicum
6 SIAM Journal on Mathematical Analysis
6 The Journal of Fourier Analysis and Applications
6 Infinite Dimensional Analysis, Quantum Probability and Related Topics
5 Annales de l’Institut Fourier
5 Applied Mathematics and Optimization
5 Journal of Multivariate Analysis
5 Tohoku Mathematical Journal. Second Series
5 Acta Applicandae Mathematicae
5 Journal of the American Mathematical Society
5 Journal of the European Mathematical Society (JEMS)
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Applied Mathematics and Computation
4 Memoirs of the American Mathematical Society
4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Insurance Mathematics & Economics
4 Acta Mathematicae Applicatae Sinica. English Series
4 Journal of Mathematical Sciences (New York)
4 Bulletin des Sciences Mathématiques
4 Acta Mathematica Sinica. English Series
4 Communications on Pure and Applied Analysis
3 Periodica Mathematica Hungarica
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Automatica
3 Illinois Journal of Mathematics
3 Manuscripta Mathematica
3 Nagoya Mathematical Journal
3 Proceedings of the London Mathematical Society. Third Series
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Results in Mathematics
3 Science in China. Series A
3 Japan Journal of Industrial and Applied Mathematics
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Fractals
3 Electronic Communications in Probability
3 Fractional Calculus & Applied Analysis
3 Communications in Contemporary Mathematics
3 Stochastics
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
3 Discrete and Continuous Dynamical Systems. Series S
3 International Journal of Stochastic Analysis
3 Annals of Finance
3 Communications in Mathematics and Statistics
2 Applicable Analysis
2 The Canadian Journal of Statistics
2 Computers & Mathematics with Applications
2 Lithuanian Mathematical Journal
2 Physica A
2 Physics Letters. 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