×
Author ID: bass.richard-f Recent zbMATH articles by "Bass, Richard F."
Published as: Bass, Richard F.; Bass, R. F.; Bass, Richard
all top 5

Serials

20 The Annals of Probability
18 Probability Theory and Related Fields
11 Transactions of the American Mathematical Society
10 Electronic Journal of Probability
9 Stochastic Processes and their Applications
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 Journal of Theoretical Biology
1 Probability and its Applications

Publications by Year

Citations contained in zbMATH Open

133 Publications have been cited 3,037 times in 1,866 Documents Cited by Year
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
147
2009
Probabilistic techniques in analysis. Zbl 0817.60001
Bass, Richard F.
140
1995
Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071
Barlow, Martin T.; Bass, Richard F.
138
1999
Diffusions and elliptic operators. Zbl 0914.60009
Bass, Richard F.
124
1998
Harnack inequalities for jump processes. Zbl 0997.60089
Bass, Richard F.; Levin, David A.
124
2002
The construction of Brownian motion on the Sierpinski carpet. Zbl 0691.60070
Barlow, Martin T.; Bass, Richard F.
100
1989
Uniqueness in law for pure jump Markov processes. Zbl 0664.60080
Bass, R. F.
87
1988
Transition probabilities for symmetric jump processes. Zbl 0993.60070
Bass, Richard F.; Levin, David A.
82
2002
Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071
Barlow, Martin T.; Bass, Richard F.
75
1992
Harnack inequalities for non-local operators of variable order. Zbl 1052.60060
Bass, Richard F.; Kassmann, Moritz
72
2005
The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526
Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng
71
2000
Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains. Zbl 0732.60090
Bass, Richard F.; Hsu, Pei
71
1991
Hölder continuity of harmonic functions with respect to operators of variable order. Zbl 1087.45004
Bass, Richard F.; Kassmann, Moritz
71
2005
Stability of parabolic Harnack inequalities on metric measure spaces. Zbl 1102.60064
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi
67
2006
Uniqueness of Brownian motion on Sierpiński carpets. Zbl 1200.60070
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi; Teplyaev, Alexander
59
2010
Uniqueness for diffusions with piecewise constant coefficients. Zbl 0617.60075
Bass, R. F.; Pardoux, E.
54
1987
Stochastic differential equations with jumps. Zbl 1189.60114
Bass, Richard F.
54
2004
Stability of parabolic Harnack inequalities. Zbl 1034.60070
Barlow, Martin T.; Bass, Richard F.
52
2004
Brownian motion with singular drift. Zbl 1029.60044
Bass, Richard F.; Chen, Zhen-Qing
47
2003
Stochastic processes. Zbl 1247.60001
Bass, Richard F.
46
2011
Random sampling of multivariate trigonometric polynomials. Zbl 1096.94008
Bass, Richard F.; Gröchenig, Karlheinz
44
2004
Regularity results for stable-like operators. Zbl 1177.45013
Bass, Richard F.
44
2009
On the resistance of the Sierpiński carpet. Zbl 0729.60108
Barlow, M. T.; Bass, R. F.
37
1990
Systems of equations driven by stable processes. Zbl 1085.60035
Bass, Richard F.; Chen, Zhen-Qing
36
2006
A boundary Harnack principle in twisted Hölder domains. Zbl 0747.31008
Bass, Richard F.; Burdzy, Krzysztof
35
1991
Symmetric jump processes: localization, heat kernels and convergence. Zbl 1201.60078
Bass, Richard F.; Kassmann, Moritz; Kumagai, Takashi
35
2010
Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains. Zbl 1007.60055
Bass, Richard F.; Perkins, Edwin A.
33
2003
Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053
Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A.
32
2002
Lifetimes of conditioned diffusions. Zbl 0739.60069
Bass, Richard F.; Burdzy, Krzysztof
29
1992
Relevant sampling of band-limited functions. Zbl 1372.94378
Bass, Richard F.; Gröchenig, Karlheinz
28
2013
Stochastic differential equations driven by symmetric stable processes. Zbl 1039.60056
Bass, Richard F.
28
2003
Random sampling of bandlimited functions. Zbl 1213.42103
Bass, Richard F.; Gröchenig, Karlheinz
27
2010
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
27
2009
The Malliavin calculus for pure jump processes and applications to local time. Zbl 0595.60044
Bass, R. F.; Cranston, M.
26
1986
One-dimensional stochastic differential equations with singular and degenerate coefficients. Zbl 1192.60081
Bass, Richard F.; Chen, Zhen-Qing
25
2005
Stochastic differential equations for Dirichlet processes. Zbl 0995.60053
Bass, Richard F.; Chen, Zhen-Qing
25
2001
The most visited site of Brownian motion and simple random walk. Zbl 0554.60076
Bass, Richard F.; Griffin, Philip S.
24
1985
Hölder domains and the boundary Harnack principle. Zbl 0755.35027
Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof
23
1991
Random walks on graphical Sierpinski carpets. Zbl 0958.60045
Barlow, Martin T.; Bass, Richard F.
23
1999
Stochastic differential equations driven by stable processes for which pathwise uniqueness fails. Zbl 1111.60038
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
22
2004
Fiber Brownian motion and the “hot spots” problem. Zbl 1006.60078
Bass, Richard F.; Burdzy, Krzysztof
22
2000
A stochastic differential equation with a sticky point. Zbl 1291.60113
Bass, Richard
22
2014
Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055
Bass, Richard F.; Chen, Zhen-Qing
20
2010
Self-intersection local time: critical exponent, large deviations, and laws of the iterated logarithm. Zbl 1075.60097
Bass, Richard F.; Chen, Xia
20
2004
Large deviations for Riesz potentials of additive processes. Zbl 1181.60035
Bass, Richard; Chen, Xia; Rosen, Jay
19
2009
Symmetric Markov chains on \(\mathbb{Z}^d\) with unbounded range. Zbl 1130.60076
Bass, Richard F.; Kumagai, Takashi
19
2008
The boundary Harnack principle for non-divergence form elliptic operators. Zbl 0806.35025
Bass, Richard F.; Burdzy, Krzysztof
19
1994
The semimartingale structure of reflecting Brownian motion. Zbl 0694.60075
Bass, Richard F.; Hsu, Pei
19
1990
Extending the Wong-Zakai theorem to reversible Markov processes. Zbl 1010.60070
Bass, R. F.; Hambly, B. M.; Lyons, T. J.
18
2002
The martingale problem for a class of stable-like processes. Zbl 1163.60323
Bass, Richard F.; Tang, Huili
17
2009
Resistance and spectral dimension of Sierpinski carpets. Zbl 0717.58031
Barlow, M. T.; Bass, R. F.; Sherwood, J. D.
16
1990
On the Robin problem in fractal domains. Zbl 1136.60045
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
15
2008
Laws of the iterated logarithm for the range of random walks in two and three dimensions. Zbl 1031.60031
Bass, Richard F.; Kumagai, Takashi
15
2002
The space D(A) and weak convergence for set-indexed processes. Zbl 0585.60007
Bass, Richard F.; Pyke, Ronald
14
1985
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
Intersection local times and Tanaka formulas. Zbl 0798.60072
Bass, Richard F.; Khoshnevisan, Davar
13
1993
Uniqueness for reflecting Brownian motion in Lip domains. Zbl 1067.60036
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
13
2005
Pathwise uniqueness for a degenerate stochastic differential equation. Zbl 1139.60027
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
13
2007
The most visited sites of symmetric stable processes. Zbl 0955.60073
Bass, Richard F.; Eisenbaum, Nathalie; Shi, Zhan
13
2000
Probability estimates for multiparameter Brownian processes. Zbl 0645.60044
Bass, Richard F.
13
1988
Coupling and Harnack inequalities for Sierpinski carpets. Zbl 0782.60017
Barlow, Martin T.; Bass, Richard F.
12
1993
The measurability of hitting times. Zbl 1202.60054
Bass, Richard F.
12
2010
A strong law of large numbers for partial-sum processes indexed by sets. Zbl 0543.60036
Bass, Richard F.; Pyke, Ronald
12
1984
Local times for Brownian motion on the Sierpinski carpet. Zbl 0685.60076
Barlow, Martin T.; Bass, Richard F.
12
1990
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
Law of the iterated logarithm for set-indexed partial sum processes with finite variance. Zbl 0575.60034
Bass, Richard F.
12
1985
Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces. Zbl 1131.35008
Athreya, Siva R.; Bass, Richard F.; Perkins, Edwin A.
11
2005
Stochastic bifurcation models. Zbl 0943.60087
Bass, Richard F.; Burdzy, Krzysztof
11
1999
Meyers inequality and strong stability for stable-like operators. Zbl 1295.47047
Bass, Richard F.; Ren, Hua
11
2013
Skorokhod imbedding via stochastic integrals. Zbl 0509.60080
Bass, Richard F.
11
1983
A probabilistic proof of the boundary Harnack principle. Zbl 0689.60070
Bass, Richard F.; Burdzy, Krzysztof
11
1990
Local times on curves and uniform invariance principles. Zbl 0767.60070
Bass, Richard F.; Khoshnevisan, Davar
10
1992
Strong approximations to Brownian local time. Zbl 0789.60062
Bass, Richard F.; Khoshnevisan, Davar
10
1992
Large deviations for renormalized self-intersection local times of stable processes. Zbl 1087.60060
Bass, Richard; Chen, Xia; Rosen, Jay
10
2005
Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type. Zbl 1089.60037
Athreya, Siva R.; Bass, Richard F.; Gordina, Maria; Perkins, Edwin A.
10
2006
Convergence of symmetric Markov chains on \({\mathbb{Z}^d}\). Zbl 1200.60060
Bass, Richard F.; Kumagai, Takashi; Uemura, Toshihiro
10
2010
Divergence form operators on fractal-like domains. Zbl 0968.58022
Barlow, Martin T.; Bass, Richard F.
10
2000
Joint continuity and representations of additive functionals of d- dimensional Brownian motion. Zbl 0543.60080
Bass, Richard
10
1984
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
9
2010
A stability theorem for elliptic Harnack inequalities. Zbl 1266.31005
Bass, Richard F.
9
2013
On Aronson’s upper bounds for heat kernels. Zbl 1032.35008
Bass, Richard F.
9
2002
Adding and subtracting jumps from Markov processes. Zbl 0424.60076
Bass, Richard F.
9
1979
Intersection local time for points of infinite multiplicity. Zbl 0814.60078
Bass, Richard F.; Burdzy, Krzysztof; Khoshnevisan, Davar
8
1994
Occupation time densities for stable-like processes and other pure jump Markov processes. Zbl 0655.60063
Bass, Richard F.
8
1988
A Fatou theorem for \(\alpha\)-harmonic functions. Zbl 1036.31004
Bass, Richard F.; You, Dahae
8
2003
A new technique for proving uniqueness for martingale problems. Zbl 1203.60119
Bass, Richard F.; Perkins, Edwin
7
2009
Rates of convergence to Brownian local time. Zbl 0783.60072
Bass, Richard F.; Khoshnevisan, Davar
7
1993
Conditioned Brownian motion in planar domains. Zbl 0834.60089
Bass, Richard F.; Burdzy, Krzysztof
7
1995
Moderate deviations for the range of planar random walks. Zbl 1171.60001
Bass, Richard F.; Chen, Xia; Rosen, Jay
6
2009
Diffusions on the Sierpiński carpet. Zbl 1010.60075
Bass, Richard F.
6
1997
Degenerate stochastic differential equations arising from catalytic branching networks. Zbl 1191.60070
Bass, Richard F.; Perkins, Edwin A.
6
2008
Laws of the iterated logarithm for some symmetric diffusion processes. Zbl 0972.60007
Bass, Richard F.; Kumagai, Takashi
6
2000
\(L_ p\) inequalities for functionals of Brownian motion. Zbl 0616.60046
Bass, Richard
6
1987
The existence of set-indexed Lévy processes. Zbl 0525.60079
Bass, Richard F.; Pyke, Ronald
6
1984
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
Frequent points for random walks in two dimensions. Zbl 1127.60042
Bass, Richard F.; Rosen, Jay
5
2007
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
Pathwise uniqueness for reflecting Brownian motion in Euclidean domains. Zbl 0957.60070
Bass, Richard F.; Hsu, Elton P.
5
2000
A stochastic differential equation with a sticky point. Zbl 1291.60113
Bass, Richard
22
2014
Relevant sampling of band-limited functions. Zbl 1372.94378
Bass, Richard F.; Gröchenig, Karlheinz
28
2013
Meyers inequality and strong stability for stable-like operators. Zbl 1295.47047
Bass, Richard F.; Ren, Hua
11
2013
A stability theorem for elliptic Harnack inequalities. Zbl 1266.31005
Bass, Richard F.
9
2013
Harnack inequalities in infinite dimensions. Zbl 1266.60098
Bass, Richard F.; Gordina, Maria
3
2012
On uniqueness in law for parabolic SPDEs and infinite-dimensional SDEs. Zbl 1244.60061
Bass, Richard F.; Perkins, Edwin A.
1
2012
Stochastic processes. Zbl 1247.60001
Bass, Richard F.
46
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
59
2010
Symmetric jump processes: localization, heat kernels and convergence. Zbl 1201.60078
Bass, Richard F.; Kassmann, Moritz; Kumagai, Takashi
35
2010
Random sampling of bandlimited functions. Zbl 1213.42103
Bass, Richard F.; Gröchenig, Karlheinz
27
2010
Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055
Bass, Richard F.; Chen, Zhen-Qing
20
2010
The measurability of hitting times. Zbl 1202.60054
Bass, Richard F.
12
2010
Convergence of symmetric Markov chains on \({\mathbb{Z}^d}\). Zbl 1200.60060
Bass, Richard F.; Kumagai, Takashi; Uemura, Toshihiro
10
2010
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
9
2010
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
147
2009
Regularity results for stable-like operators. Zbl 1177.45013
Bass, Richard F.
44
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
27
2009
Large deviations for Riesz potentials of additive processes. Zbl 1181.60035
Bass, Richard; Chen, Xia; Rosen, Jay
19
2009
The martingale problem for a class of stable-like processes. Zbl 1163.60323
Bass, Richard F.; Tang, Huili
17
2009
A new technique for proving uniqueness for martingale problems. Zbl 1203.60119
Bass, Richard F.; Perkins, Edwin
7
2009
Moderate deviations for the range of planar random walks. Zbl 1171.60001
Bass, Richard F.; Chen, Xia; Rosen, Jay
6
2009
Symmetric Markov chains on \(\mathbb{Z}^d\) with unbounded range. Zbl 1130.60076
Bass, Richard F.; Kumagai, Takashi
19
2008
On the Robin problem in fractal domains. Zbl 1136.60045
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
15
2008
Degenerate stochastic differential equations arising from catalytic branching networks. Zbl 1191.60070
Bass, Richard F.; Perkins, Edwin A.
6
2008
On pathwise uniqueness for reflecting Brownian motion in \(C^{1+\gamma}\) domains. Zbl 1167.60020
Bass, Richard F.; Burdzy, Krzysztof
4
2008
Pathwise uniqueness for a degenerate stochastic differential equation. Zbl 1139.60027
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
13
2007
Frequent points for random walks in two dimensions. Zbl 1127.60042
Bass, Richard F.; Rosen, Jay
5
2007
The submartingale problem for a class of degenerate elliptic operators. Zbl 1136.60037
Bass, Richard F.; Lavrentiev, Alexander
2
2007
Stability of parabolic Harnack inequalities on metric measure spaces. Zbl 1102.60064
Barlow, Martin T.; Bass, Richard F.; Kumagai, Takashi
67
2006
Systems of equations driven by stable processes. Zbl 1085.60035
Bass, Richard F.; Chen, Zhen-Qing
36
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.
10
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
72
2005
Hölder continuity of harmonic functions with respect to operators of variable order. Zbl 1087.45004
Bass, Richard F.; Kassmann, Moritz
71
2005
One-dimensional stochastic differential equations with singular and degenerate coefficients. Zbl 1192.60081
Bass, Richard F.; Chen, Zhen-Qing
25
2005
Uniqueness for reflecting Brownian motion in Lip domains. Zbl 1067.60036
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
13
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.
11
2005
Large deviations for renormalized self-intersection local times of stable processes. Zbl 1087.60060
Bass, Richard; Chen, Xia; Rosen, Jay
10
2005
An almost sure invariance principle for the range of planar random walks. Zbl 1085.60018
Bass, Richard F.; Rosen, Jay
5
2005
A Fatou theorem for \(\alpha\)-harmonic functions in Lipschitz domains. Zbl 1091.31003
Bass, Richard F.; You, Dahae
3
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.
54
2004
Stability of parabolic Harnack inequalities. Zbl 1034.60070
Barlow, Martin T.; Bass, Richard F.
52
2004
Random sampling of multivariate trigonometric polynomials. Zbl 1096.94008
Bass, Richard F.; Gröchenig, Karlheinz
44
2004
Stochastic differential equations driven by stable processes for which pathwise uniqueness fails. Zbl 1111.60038
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
22
2004
Self-intersection local time: critical exponent, large deviations, and laws of the iterated logarithm. Zbl 1075.60097
Bass, Richard F.; Chen, Xia
20
2004
Countable systems of degenerate stochastic differential equations with applications to super-{M}arkov 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
47
2003
Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains. Zbl 1007.60055
Bass, Richard F.; Perkins, Edwin A.
33
2003
Stochastic differential equations driven by symmetric stable processes. Zbl 1039.60056
Bass, Richard F.
28
2003
A Fatou theorem for \(\alpha\)-harmonic functions. Zbl 1036.31004
Bass, Richard F.; You, Dahae
8
2003
Harnack inequalities for jump processes. Zbl 0997.60089
Bass, Richard F.; Levin, David A.
124
2002
Transition probabilities for symmetric jump processes. Zbl 0993.60070
Bass, Richard F.; Levin, David A.
82
2002
Degenerate stochastic differential equations and super-Markov chains. Zbl 1007.60053
Athreya, S. R.; Barlow, M. T.; Bass, R. F.; Perkins, E. A.
32
2002
Extending the Wong-Zakai theorem to reversible Markov processes. Zbl 1010.60070
Bass, R. F.; Hambly, B. M.; Lyons, T. J.
18
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
15
2002
On Aronson’s upper bounds for heat kernels. Zbl 1032.35008
Bass, Richard F.
9
2002
Stochastic differential equations for Dirichlet processes. Zbl 0995.60053
Bass, Richard F.; Chen, Zhen-Qing
25
2001
The supremum of Brownian local times on Hölder curves. Zbl 0995.60076
Bass, Richard F.; Burdzy, Krzysztof
4
2001
On the martingale problem for super-Brownian motion. Zbl 1002.60079
Bass, Richard F.; Perkins, Edwin A.
1
2001
The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526
Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng
71
2000
Fiber Brownian motion and the “hot spots” problem. Zbl 1006.60078
Bass, Richard F.; Burdzy, Krzysztof
22
2000
The most visited sites of symmetric stable processes. Zbl 0955.60073
Bass, Richard F.; Eisenbaum, Nathalie; Shi, Zhan
13
2000
Divergence form operators on fractal-like domains. Zbl 0968.58022
Barlow, Martin T.; Bass, Richard F.
10
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.
5
2000
Brownian motion and harmonic analysis on Sierpinski carpets. Zbl 0945.60071
Barlow, Martin T.; Bass, Richard F.
138
1999
Random walks on graphical Sierpinski carpets. Zbl 0958.60045
Barlow, Martin T.; Bass, Richard F.
23
1999
Stochastic bifurcation models. Zbl 0943.60087
Bass, Richard F.; Burdzy, Krzysztof
11
1999
Cutting Brownian paths. Zbl 0937.60077
Bass, Richard F.; Burdzy, Krzysztof
2
1999
Diffusions and elliptic operators. Zbl 0914.60009
Bass, Richard F.
124
1998
Diffusions on the Sierpiński carpet. Zbl 1010.60075
Bass, Richard F.
6
1997
The Doob-Meyer decomposition revisited. Zbl 0880.60046
Bass, Richard F.
5
1996
Uniqueness for the Skorokhod equation with normal reflection in Lipschitz domains. Zbl 0888.60067
Bass, Richard F.
3
1996
Eigenvalue expansions for Brownian motion with an application to occupation times. Zbl 0891.60079
Bass, Richard F.; Burdzy, Krzysztof
3
1996
A critical case for Brownian slow points. Zbl 0854.60039
Bass, Richard F.; Burdzy, Krzysztof
2
1996
Probabilistic techniques in analysis. Zbl 0817.60001
Bass, Richard F.
140
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
19
1994
Intersection local time for points of infinite multiplicity. Zbl 0814.60078
Bass, Richard F.; Burdzy, Krzysztof; Khoshnevisan, Davar
8
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.
12
1993
Rates of convergence to Brownian local time. Zbl 0783.60072
Bass, Richard F.; Khoshnevisan, Davar
7
1993
On domain monotonicity of the Neumann heat kernel. Zbl 0794.35065
Bass, Richard F.; Burdzy, Krzysztof
3
1993
The Martin boundary in non-Lipschitz domains. Zbl 0781.31010
Bass, Richard F.; Burdzy, Krzysztof
3
1993
Transition densities for Brownian motion on the Sierpinski carpet. Zbl 0739.60071
Barlow, Martin T.; Bass, Richard F.
75
1992
Lifetimes of conditioned diffusions. Zbl 0739.60069
Bass, Richard F.; Burdzy, Krzysztof
29
1992
Local times on curves and uniform invariance principles. Zbl 0767.60070
Bass, Richard F.; Khoshnevisan, Davar
10
1992
Strong approximations to Brownian local time. Zbl 0789.60062
Bass, Richard F.; Khoshnevisan, Davar
10
1992
Stochastic calculus and the continuity of local times of Lévy processes. Zbl 0778.60055
Bass, Richard; Khoshnevisan, Davar
3
1992
Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains. Zbl 0732.60090
Bass, Richard F.; Hsu, Pei
71
1991
A boundary Harnack principle in twisted Hölder domains. Zbl 0747.31008
Bass, Richard F.; Burdzy, Krzysztof
35
1991
Hölder domains and the boundary Harnack principle. Zbl 0755.35027
Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof
23
1991
On the resistance of the Sierpiński carpet. Zbl 0729.60108
Barlow, M. T.; Bass, R. F.
37
1990
The semimartingale structure of reflecting Brownian motion. Zbl 0694.60075
Bass, Richard F.; Hsu, Pei
19
1990
...and 33 more Documents
all top 5

Cited by 1,823 Authors

81 Chen, Zhen-Qing
57 Bass, Richard F.
47 Kumagai, Takashi
40 Kim, Panki
35 Wang, Jian
34 Song, Renming
33 Burdzy, Krzysztof
22 Barlow, Martin T.
22 Kaßmann, Moritz
21 Hu, Jiaxin
19 Chen, Xia
19 Grigor’yan, Alexander Asaturovich
19 Teplyaev, Alexander
18 Zhang, Xicheng
17 Khoshnevisan, Davar
16 Hinz, Michael
14 Sandrić, Nikola
13 Lau, Kasing
13 Menozzi, Stéphane
13 Vondraček, Zoran
12 Hambly, Ben M.
12 Schilling, René Leander
12 Zhang, Tusheng S.
11 Karatzas, Ioannis
11 Murugan, Mathav Kishore
11 Priola, Enrico
11 Ros-Oton, Xavier
11 Rosen, Jay S.
11 Saloff-Coste, Laurent
11 Valdinoci, Enrico
10 Ichiba, Tomoyuki
10 Sarantsev, Andrey
10 Shkolnikov, Mykhaylo
10 Yan, Litan
9 Chen, Xin
9 Dipierro, Serena
9 Földes, Antónia
9 Kajino, Naotaka
9 Kühn, Franziska
9 Qiu, Hua
9 Strichartz, Robert Stephen
9 Telcs, András
9 Uemura, Toshihiro
8 Anh, Vo V.
8 Athreya, Siva R.
8 Bañuelos, Rodrigo
8 Bogdan, Krzysztof
8 Croydon, David A.
8 Csáki, Endre
8 Fazly, Mostafa
8 Grzywny, Tomasz
8 Lejay, Antoine
8 Mimica, Ante
7 Aikawa, Hiroaki
7 Caffarelli, Luis Ángel
7 Cao, Shiping
7 Gu, Qingsong
7 Hu, Yueyun
7 Kinzebulatov, Damir
7 Knopova, Victoria Pavlovna
7 Kulczycki, Tadeusz
7 Kulik, Alexey M.
7 Liu, Junfeng
7 Montecchiari, Piero
7 Mytnik, Leonid
7 Nane, Erkan
7 Potts, Daniel
7 Rogers, Luke G.
7 Ruiz-Medina, María Dolores
7 Ryznar, Michał
7 Wu, Jianglun
7 Xian, Jun
7 Xiong, Jie
6 Alessio, Francesca G.
6 Ankirchner, Stefan
6 Arapostathis, Aristotle
6 Bakhtin, Yuri Yu.
6 De Angelis, Tiziano
6 Dembo, Amir
6 Eisenbaum, Nathalie
6 Fernholz, Erhard Robert
6 Foondun, Mohammud
6 Hansen, Wolfhard
6 Hu, Yaozhong
6 Jin, Peng
6 Kigami, Jun
6 Lee, Ki-Ahm
6 Patel, Dhiraj
6 Pop, Camelia Alexandra
6 Russo, Francesco
6 Šebek, Stjepan
6 Serra Montolí, Joaquim
6 Shi, Zhan
6 Shiozawa, Yuichi
6 Sire, Yannick
6 Zacher, Rico
6 Zähle, Martina
5 Angulo, José Miguel
5 Biswas, Anup
5 Chaker, Jamil
...and 1,723 more Authors
all top 5

Cited in 299 Serials

135 Stochastic Processes and their Applications
98 The Annals of Probability
88 Probability Theory and Related Fields
84 Potential Analysis
79 Transactions of the American Mathematical Society
74 Journal of Functional Analysis
51 Journal of Theoretical Probability
46 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
43 Journal of Differential Equations
41 Journal of Mathematical Analysis and Applications
36 Electronic Journal of Probability
33 The Annals of Applied Probability
28 Calculus of Variations and Partial Differential Equations
27 Statistics & Probability Letters
26 Proceedings of the American Mathematical Society
22 Stochastics and Dynamics
20 Communications in Mathematical Physics
19 Bernoulli
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Stochastic Analysis and Applications
15 Discrete and Continuous Dynamical Systems
14 Osaka Journal of Mathematics
14 Communications in Partial Differential Equations
14 Science China. Mathematics
13 Journal of Statistical Physics
12 Annali di Matematica Pura ed Applicata. Serie Quarta
12 Mathematische Annalen
11 Advances in Mathematics
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 NoDEA. Nonlinear Differential Equations and Applications
10 Journal d’Analyse Mathématique
10 Mathematische Nachrichten
10 Mathematische Zeitschrift
10 Forum Mathematicum
10 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
10 Stochastics
10 ALEA. Latin American Journal of Probability and Mathematical Statistics
9 Journal of Mathematical Physics
9 Journal of Approximation Theory
9 SIAM Journal on Mathematical Analysis
9 Applied and Computational Harmonic Analysis
8 Communications on Pure and Applied Mathematics
8 Journal of the Mathematical Society of Japan
8 Revista Matemática Iberoamericana
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Electronic Communications in Probability
7 Annales de l’Institut Fourier
7 The Annals of Statistics
7 Applied Mathematics and Computation
7 Journal of Applied Probability
7 Results in Mathematics
7 The Journal of Fourier Analysis and Applications
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
7 Communications on Pure and Applied Analysis
7 Frontiers of Mathematics in China
6 Advances in Applied Probability
6 Archive for Rational Mechanics and Analysis
6 Applied Mathematics and Optimization
6 Duke Mathematical Journal
6 Journal of Computational and Applied Mathematics
6 Tôhoku Mathematical Journal. Second Series
6 Acta Applicandae Mathematicae
6 Journal of the European Mathematical Society (JEMS)
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Applicable Analysis
5 Inverse Problems
5 Journal of the London Mathematical Society. Second Series
5 Journal of Multivariate Analysis
5 Memoirs of the American Mathematical Society
5 Journal of the American Mathematical Society
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Journal of Mathematical Sciences (New York)
5 Fractals
5 Advances in Computational Mathematics
5 Mathematical Finance
5 Positivity
5 Fractional Calculus & Applied Analysis
5 Acta Mathematica Sinica. English Series
5 Stochastic and Partial Differential Equations. Analysis and Computations
4 Physica A
4 Illinois Journal of Mathematics
4 Proceedings of the London Mathematical Society. Third Series
4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Acta Mathematicae Applicatae Sinica. English Series
4 Theory of Probability and Mathematical Statistics
4 Bulletin des Sciences Mathématiques
4 Communications in Contemporary Mathematics
4 Journal of Evolution Equations
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Discrete and Continuous Dynamical Systems. Series S
4 Probability Surveys
4 Annals of Finance
4 Journal of Fractal Geometry
4 Mathematics in Engineering
3 Lithuanian Mathematical Journal
3 Mathematical Methods in the Applied Sciences
3 Nonlinearity
3 Periodica Mathematica Hungarica
3 Physics Letters. A
3 Theory of Probability and its Applications
...and 199 more Serials
all top 5

Cited in 49 Fields

1,331 Probability theory and stochastic processes (60-XX)
617 Partial differential equations (35-XX)
228 Potential theory (31-XX)
217 Operator theory (47-XX)
153 Measure and integration (28-XX)
78 Harmonic analysis on Euclidean spaces (42-XX)
71 Functional analysis (46-XX)
70 Statistical mechanics, structure of matter (82-XX)
66 Statistics (62-XX)
65 Numerical analysis (65-XX)
63 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
53 Integral equations (45-XX)
50 Global analysis, analysis on manifolds (58-XX)
46 Information and communication theory, circuits (94-XX)
39 Ordinary differential equations (34-XX)
38 Combinatorics (05-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
35 Functions of a complex variable (30-XX)
32 Real functions (26-XX)
32 Dynamical systems and ergodic theory (37-XX)
31 Biology and other natural sciences (92-XX)
30 Quantum theory (81-XX)
27 Systems theory; control (93-XX)
20 Approximations and expansions (41-XX)
14 Differential geometry (53-XX)
14 Fluid mechanics (76-XX)
9 Operations research, mathematical programming (90-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Special functions (33-XX)
8 Computer science (68-XX)
6 Difference and functional equations (39-XX)
5 Number theory (11-XX)
5 Convex and discrete geometry (52-XX)
5 Mechanics of deformable solids (74-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Group theory and generalizations (20-XX)
4 Optics, electromagnetic theory (78-XX)
3 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
1 Topological groups, Lie groups (22-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year