Richard F. Bass - Publications

Affiliations: 
University of Connecticut, Storrs, CT, United States 
Area:
Mathematics

89 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2014 Bass RF. A stochastic differential equation with a sticky point Electronic Journal of Probability. 19. DOI: 10.1214/Ejp.V19-2350  0.365
2013 Bass RF. A stability theorem for elliptic Harnack inequalities Journal of the European Mathematical Society. 15: 857-876. DOI: 10.4171/Jems/379  0.309
2013 Bass RF, Ren H. Meyers inequality and strong stability for stable-like operators Journal of Functional Analysis. 265: 28-48. DOI: 10.1016/J.Jfa.2013.03.008  0.386
2012 Bass RF, Perkinsz EA. On uniqueness in law for parabolic SPDEs and infinite-dimensional SDEs Electronic Journal of Probability. 17: 1-54. DOI: 10.1214/Ejp.V17-2049  0.368
2012 Bass RF, Gordina M. Harnack inequalities in infinite dimensions Journal of Functional Analysis. 263: 3707-3740. DOI: 10.1016/J.Jfa.2012.09.009  0.368
2010 Barlow MT, Bass RF, Kumagai T, Teplyaev A. Uniqueness of Brownian motion on Sierpiński carpets Journal of the European Mathematical Society. 12: 655-701. DOI: 10.4171/Jems/211  0.374
2010 Bass RF. The Measurability Of Hitting Times Electronic Communications in Probability. 15: 99-105. DOI: 10.1214/Ecp.V15-1535  0.318
2010 Bass RF, Gröchenig K. Random sampling of bandlimited functions Israel Journal of Mathematics. 177: 1-28. DOI: 10.1007/S11856-010-0036-7  0.302
2010 Bass RF, Kumagai T, Uemura T. Convergence of symmetric Markov chains on ℤd Probability Theory and Related Fields. 148: 107-140. DOI: 10.1007/S00440-009-0224-8  0.316
2010 Bass RF, Chen ZQ. Regularity of Harmonic functions for a class of singular stable-like processes Mathematische Zeitschrift. 266: 489-503. DOI: 10.1007/S00209-009-0581-0  0.426
2009 Barlow MT, Bass RF, Chen ZQ, Kassmann M. Non-local dirichlet forms and symmetric jump processes Transactions of the American Mathematical Society. 361: 1963-1999. DOI: 10.1090/S0002-9947-08-04544-3  0.374
2009 Bass RF, Tang H. The martingale problem for a class of stable-like processes Stochastic Processes and Their Applications. 119: 1144-1167. DOI: 10.1016/J.Spa.2008.06.003  0.573
2009 Bass RF. Regularity results for stable-like operators Journal of Functional Analysis. 257: 2693-2722. DOI: 10.1016/J.Jfa.2009.05.012  0.351
2009 Bass RF, Burdzy K, Chen ZQ, Hairer M. Stationary distributions for diffusions with inert drift Probability Theory and Related Fields. 146: 1-47. DOI: 10.1007/S00440-008-0182-6  0.357
2009 Barlow MT, Bass RF, Kumagai T. Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps Mathematische Zeitschrift. 261: 297-320. DOI: 10.1007/S00209-008-0326-5  0.304
2008 Bass RF, Perkins EA. Degenerate stochastic differential equations arising from catalytic branching networks Electronic Journal of Probability. 13: 1808-1885. DOI: 10.1214/Ejp.V13-568  0.39
2008 Bass RF, Burdzy K. On pathwise uniqueness for reflecting brownian motion in c 1+γ domains Annals of Probability. 36: 2311-2331. DOI: 10.1214/08-Aop390  0.371
2008 Bass RF, Burdzy K, Chen ZQ. On the Robin problem in fractal domains Proceedings of the London Mathematical Society. 96: 273-311. DOI: 10.1112/Plms/Pdm045  0.328
2008 Bass RF, Kumagai T. Symmetric markov chains on double-struck Z signd with unbounded range Transactions of the American Mathematical Society. 360: 2041-2075. DOI: 10.1090/S0002-9947-07-04281-X  0.369
2007 Bass RF, Rosen J. Frequent points for random walks in two dimensions Electronic Journal of Probability. 12: 1-46. DOI: 10.1214/Ejp.V12-388  0.338
2007 Bass RF, Burdzy K, Chen ZQ. Pathwise uniqueness for a degenerate stochastic differential equation Annals of Probability. 35: 2385-2418. DOI: 10.1214/009117907000000033  0.393
2007 Bass RF, Lavrentiev A. The submartingale problem for a class of degenerate elliptic operators Probability Theory and Related Fields. 139: 415-449. DOI: 10.1007/S00440-006-0047-9  0.711
2006 Barlow MT, Bass RF, Kumagai T. Stability of parabolic Harnack inequalities on metric measure spaces Journal of the Mathematical Society of Japan. 58: 485-519. DOI: 10.2969/Jmsj/1149166785  0.36
2006 Bass RF, Chen X, Rosen J. Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks Electronic Journal of Probability. 11: 993-1030. DOI: 10.1214/Ejp.V11-362  0.327
2006 Bass RF, Burdzy K. Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains Electronic Communications in Probability. 11: 178-181. DOI: 10.1214/Ecp.V11-1213  0.366
2006 Athreya SR, Bass RF, Gordina M, Perkins EA. Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type Stochastic Processes and Their Applications. 116: 381-406. DOI: 10.1016/J.Spa.2005.10.001  0.405
2006 Bass RF, Chen ZQ. Systems of equations driven by stable processes Probability Theory and Related Fields. 134: 175-214. DOI: 10.1007/S00440-004-0426-Z  0.412
2005 Bass RF, Rosen J. An almost sure invariance principle for the range of planar random walks Annals of Probability. 33: 1856-1885. DOI: 10.1214/009117905000000215  0.326
2005 Bass R, Chen X, Rosen J. Large deviations for renormalized self-intersection local times of stable processes Annals of Probability. 33: 984-1013. DOI: 10.1214/009117904000001099  0.308
2005 Athreya SR, Bass RF, Perkins EA. Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces Transactions of the American Mathematical Society. 357: 5001-5029. DOI: 10.1090/S0002-9947-05-03638-X  0.383
2005 Bass RF, Kassmann M. Harnack inequalities for non-local operators of variable order Transactions of the American Mathematical Society. 357: 837-850. DOI: 10.1090/S0002-9947-04-03549-4  0.354
2005 Bass RF, Kassmann M. Hölder continuity of harmonic functions with respect to operators of variable order Communications in Partial Differential Equations. 30: 1249-1259. DOI: 10.1080/03605300500257677  0.339
2005 Bass RF, Burdzy K, Chen ZQ. Uniqueness for reflecting Brownian motion in lip domains Annales De L'Institut Henri Poincare (B) Probability and Statistics. 41: 197-235. DOI: 10.1016/J.Anihpb.2004.06.001  0.398
2005 Bass RF, You D. A Fatou theorem for α-harmonic functions in Lipschitz domains Probability Theory and Related Fields. 133: 391-408. DOI: 10.1007/S00440-005-0431-X  0.344
2005 Bass RF, Chen ZQ. One-dimensional stochastic differential equations with singular and degenerate coefficients Sankhya: the Indian Journal of Statistics. 67: 19-45.  0.312
2004 Bass RF, Perkins EA. Countable systems of degenerate stochastic differential equations with applications to super-Markov chains Electronic Journal of Probability. 9: 634-673. DOI: 10.1214/Ejp.V9-222  0.326
2004 Bass RF. Stochastic differential equations with jumps Probability Surveys. 1: 1-19. DOI: 10.1214/154957804100000015  0.33
2004 Bass RF, Chen X. Self-intersection local time: Critical exponent, large deviations, and laws of the iterated logarithm Annals of Probability. 32: 3221-3247. DOI: 10.1214/009117904000000504  0.34
2004 Bass RF, Burdzy K, Chen ZQ. Stochastic differential equations driven by stable processes for which pathwise uniqueness fails Stochastic Processes and Their Applications. 111: 1-15. DOI: 10.1016/J.Spa.2004.01.010  0.365
2003 Bass RF, Chen ZQ. Brownian motion with singular drift Annals of Probability. 31: 791-817. DOI: 10.1214/Aop/1048516536  0.428
2003 Bass RF, Perkins EA. Degenerate stochastic differential equations with hölder continuous coefficients and super-Markov chains Transactions of the American Mathematical Society. 355: 373-405. DOI: 10.1090/S0002-9947-02-03120-3  0.444
2003 Bass RF, You D. A Fatou theorem for α-harmonic functions Bulletin Des Sciences Mathematiques. 127: 635-648. DOI: 10.1016/S0007-4497(03)00056-3  0.318
2002 Bass RF, Kumagai T. Laws of the iterated logarithm for the range of random walks in two and three dimensions Annals of Probability. 30: 1369-1396. DOI: 10.1214/Aop/1029867131  0.357
2002 Bass RF. On Aronson's upper bounds for heat kernels Bulletin of the London Mathematical Society. 34: 415-419. DOI: 10.1112/S0024609301008918  0.366
2002 Bass RF, Levin DA. Transition probabilities for symmetric jump processes Transactions of the American Mathematical Society. 354: 2933-2953. DOI: 10.1090/S0002-9947-02-02998-7  0.364
2002 Bass RF, Levin DA. Harnack inequalities for jump processes Potential Analysis. 17: 375-388. DOI: 10.1023/A:1016378210944  0.363
2002 Bass RF, Hambly BM, Lyons TJ. Extending the Wong-Zakai theorem to reversible Markov processes Journal of the European Mathematical Society. 4: 237-269. DOI: 10.1007/S100970200040  0.386
2002 Athreya SR, Barlow MT, Bass RF, Perkins EA. Degenerate stochastic differential equations and super-Markov chains Probability Theory and Related Fields. 123: 484-520. DOI: 10.1007/S004400100191  0.403
2001 Bass RF, Burdzy K. The supremum of Brownian local times on Hölder curves Annales De L'Institut Henri Poincare (B) Probability and Statistics. 37: 627-642. DOI: 10.1016/S0246-0203(00)01072-4  0.363
2001 Bass RF, Chen ZQ. Stochastic differential equations for Dirichlet processes Probability Theory and Related Fields. 121: 422-446. DOI: 10.1007/S004400100151  0.436
2000 Bass RF, Kumagai T. Laws of the iterated logarithm for some symmetric diffusion processes Osaka Journal of Mathematics. 37: 625-650. DOI: 10.18910/9960  0.368
2000 Bass RF, Eisenbaum N, Shi Z. The most visited sites of symmetric stable processes Probability Theory and Related Fields. 116: 391-404. DOI: 10.1007/S004400050255  0.37
2000 Bass RF, Hsu EP. Pathwise uniqueness for reflecting Brownian motion in Euclidean domains Probability Theory and Related Fields. 117: 183-200. DOI: 10.1007/S004400050003  0.374
2000 Barlow MT, Bass RF. Divergence Form Operators on Fractal-like Domains Journal of Functional Analysis. 175: 214-247. DOI: 10.1006/Jfan.2000.3597  0.362
2000 Barlow MT, Bass RF, Gui C. The Liouville property and a conjecture of De Giorgi Communications On Pure and Applied Mathematics. 53: 1007-1038. DOI: 10.1002/1097-0312(200008)53:8<1007::Aid-Cpa3>3.0.Co;2-U  0.372
1999 Barlow MT, Bass RF. Brownian motion and harmonic analysis on Sierpinski carpets Canadian Journal of Mathematics. 51: 673-744. DOI: 10.4153/Cjm-1999-031-4  0.406
1999 Bass RF, Burdzy K. Stochastic bifurcation models Annals of Probability. 27: 50-108. DOI: 10.1214/Aop/1022677254  0.389
1997 Barlow MT, Bass RF, Burdzy K. Positivity of Brownian transition densities Electronic Communications in Probability. 2: 43-51. DOI: 10.1214/Ecp.V2-983  0.315
1996 Bass RF, Burdzy K. Eigenvalue expansions for Brownian motion with an application to occupation times Electronic Journal of Probability. 1: 1-19. DOI: 10.1214/Ejp.V1-3  0.358
1996 Bass RF. Uniqueness for the Skorokhod equation with normal reflection in Lipschitz domains Electronic Journal of Probability. 1: 1-29. DOI: 10.1214/Ejp.V1-11  0.401
1995 Bass RF, Khoshnevisan D. Laws of the Iterated Logarithm for Local Times of the Empirical Process Annals of Probability. 23: 388-399. DOI: 10.1214/Aop/1176988391  0.353
1995 Bass RF, Burdzy K. Conditioned Brownian motion in planar domains Probability Theory and Related Fields. 101: 479-493. DOI: 10.1007/Bf01202781  0.367
1994 Bass RF, Burdzy K, Khoshnevisan D. Intersection Local Time for Points of Infinite Multiplicity Annals of Probability. 22: 566-625. DOI: 10.1214/Aop/1176988722  0.302
1994 Bass RF, Burdzy K. The boundary harnack principle for non-divergence form elliptic operators Journal of the London Mathematical Society. 50: 157-169. DOI: 10.1112/Jlms/50.1.157  0.368
1993 Barlow MT, Bass RF. Coupling and harnack inequalities for sierpinski carpets Bulletin of the American Mathematical Society. 29: 208-212. DOI: 10.1090/S0273-0979-1993-00424-5  0.389
1993 Bass RF, Burdzy K. The martin boundary in non-lipschitz domains Transactions of the American Mathematical Society. 337: 361-378. DOI: 10.1090/S0002-9947-1993-1100692-9  0.37
1993 Bass RF, Khoshnevisan D. Rates of convergence to Brownian local time Stochastic Processes and Their Applications. 47: 197-213. DOI: 10.1016/0304-4149(93)90014-U  0.366
1992 Bass RF, Khoshnevisan D. Local times on curves and uniform invariance principles Probability Theory and Related Fields. 92: 465-492. DOI: 10.1007/Bf01274264  0.386
1992 Bass RF, Burdzy K. Lifetimes of conditioned diffusions Probability Theory and Related Fields. 91: 405-443. DOI: 10.1007/Bf01192065  0.349
1992 Barlow MT, Bass RF. Transition densities for Brownian motion on the Sierpinski carpet Probability Theory and Related Fields. 91: 307-330. DOI: 10.1007/Bf01192060  0.375
1991 Bass RF, Burdzy K. A boundary Harnack principle in twisted Holder domains Annals of Mathematics. 134: 253-276. DOI: 10.2307/2944347  0.307
1991 Bañuelos R, Bass RF, Burdzy K. Hölder domains and the boundary Harnack principle Duke Mathematical Journal. 64: 195-200. DOI: 10.1215/S0012-7094-91-06408-2  0.355
1990 Bass RF. The dirichlet problem for radially homogeneous elliptic operators Transactions of the American Mathematical Society. 320: 593-614. DOI: 10.1090/S0002-9947-1990-0968415-9  0.406
1990 Barlow MT, Bass RF. Local times for Brownian motion on the Sierpinski carpet Probability Theory and Related Fields. 85: 91-104. DOI: 10.1007/Bf01377631  0.34
1990 Bañuelos R, Bass RF, Burdzy K. A representation of local time for Lipschitz surfaces Probability Theory and Related Fields. 84: 521-547. DOI: 10.1007/Bf01198318  0.363
1988 Bass RF. Occupation time densities for stable-like processes and other pure jump Markov processes Stochastic Processes and Their Applications. 29: 65-83. DOI: 10.1016/0304-4149(88)90028-2  0.362
1988 Bass RF. Uniqueness in law for pure jump Markov processes Probability Theory and Related Fields. 79: 271-287. DOI: 10.1007/Bf00320922  0.398
1987 Bass RF, Pyke R. A central limit theorem for D(A)-valued processes Stochastic Processes and Their Applications. 24: 109-131. DOI: 10.1016/0304-4149(87)90032-9  0.37
1987 Bass RF, Pardoux E. Uniqueness for diffusions with piecewise constant coefficients Probability Theory and Related Fields. 76: 557-572. DOI: 10.1007/Bf00960074  0.33
1985 Bass RF, Pyke R. The Space $D(A)$ and Weak Convergence for Set-indexed Processes Annals of Probability. 13: 860-884. DOI: 10.1214/Aop/1176992911  0.327
1985 Bass RF, Griffin PS. The most visited site of Brownian motion and simple random walk Zeitschrift FüR Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 70: 417-436. DOI: 10.1007/Bf00534873  0.369
1985 Bass RF. Law of the iterated logarithm for set-indexed partial sum processes with finite variance Zeitschrift FüR Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 70: 591-608. DOI: 10.1007/Bf00531869  0.403
1984 Bass RF, Pyke R. Functional law of the iterated logarithm and uniform central limit theorem for partial-sum processes indexed by sets Annals of Probability. 12: 13-34. DOI: 10.1214/Aop/1176993371  0.338
1984 Bass R. Joint continuity and representations of additive functionals of d-dimensional Brownian motion Stochastic Processes and Their Applications. 17: 211-227. DOI: 10.1016/0304-4149(84)90002-4  0.38
1984 Bass RF. Local times for a class of purely discontinuous martingales Zeitschrift FüR Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 67: 433-459. DOI: 10.1007/Bf00532048  0.355
1984 Bass RF, Pyke R. The existence of set-indexed Lévy processes Zeitschrift FüR Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 66: 157-172. DOI: 10.1007/Bf00531526  0.38
1983 Bass RF, Erickson KB. Hitting time of a moving boundary for a diffusion Stochastic Processes and Their Applications. 14: 315-325. DOI: 10.1016/0304-4149(83)90007-8  0.351
1981 Bass R. Markov processes with lipschitz semigroups Transactions of the American Mathematical Society. 267. DOI: 10.1090/S0002-9947-1981-0621990-0  0.407
1979 Bass RF. Adding and subtracting jumps from markov processes Transactions of the American Mathematical Society. 255: 363-376. DOI: 10.1090/S0002-9947-1979-0542886-X  0.317
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