BIBLIOGRAPHY

1. R.F. Bass, Adding and subtracting jumps from Markov processes, Trans. Amer. Math. Soc. 255 (1979), 363-376. pdf file

2. R.F. Bass, Martingales of an independent increment process, Stoch. Proc. & their Applic. 9 (1979), 237-244. pdf file

3. R.F. Bass, Markov processes with Lipschitz semigroups, Trans. Amer. Math. Soc. 267 (1981), 307-320. Jstor link

4. R.F. Bass and M. Cranston, Brownian motion with lower class moving boundaries which grow faster than t^1/2, Ann. Probability 11 (1983), 34-39. Jstor Link

5. R.F. Bass and K.B. Erickson, Hitting time of a moving boundary for a diffusion, Stoch. Proc. & their Applic. 14 (1983), 315-325. pdf file

6. R.F. Bass and M. Cranston, Exit times for symmetric stable processes in Rⁿ, Ann. Probability 11 (1983), 578-588. Jstor link

7. R.F. Bass, Occupation times for d-dimensional semimartingales, Seminar on Stochastic Processes, 1982, 51-96, Birkhäuser, Boston, 1983. pdf file

8. R.F. Bass, Skorokhod imbedding via stochastic integrals, Séminaire de Probabilités XVII, 221-224, Springer, New York, 1983. pdf file

9. R.F. Bass, Stochastic integral representations for multiparameter random fields with stationary, independent increments, Stochastics 11 (1983), 1-17. pdf file

10. R.F. Bass and R. Pyke, Functional law of the iterated logarithm and uniform central limit theorem for partial-sum processes indexed by sets, Ann. Probability 12 (1984), 13-34. Jstor link

11. R.F. Bass and R. Pyke, A strong law of large numbers for partial-sum processes indexed by sets, Ann. Probability 12 (1984), 268-271. Jstor link

12. R.F. Bass, Joint continuity and representations of additive functionals of d-dimensional Brownian motion, Stoch. Proc. & their Applic. 17 (1984), 211-228. pdf file

13. R.F. Bass, Markov processes and convex minorants, Séminaire de Probabilités XVIII, 29-41, Springer, New York, 1984. pdf file

14. R.F. Bass and R. Pyke, The existence of set-indexed Levy processes, Z. Wahrscheinlichkeitstheorie 66 (1984), 157-172. pdf file

15. R.F. Bass, Local times for a class of purely discontinuous martingales, Z. Wahrscheinlichkeitstheorie 67 (1984), 433-459. pdf file

16. R.F. Bass and K.B. Erickson, Local laws of the iterated logarithm for diffusions, Ann. Probability 13 (1985), 616-624; 14 (1986), 731. Jstor link, Jstor link to correction

17. R.F. Bass and R. Pyke, The space D(A) and weak convergence for set-indexed processes, Ann. Probability 13 (1985), 860-884. Jstor link

18. R.F. Bass and P.S. Griffin, The most visited site of Brownian motion and simple random walk, Z. Wahrscheinlichkeitstheorie 70 (1985), 417-436. pdf file

19. R.F. Bass, Law of the iterated logarithm for set-indexed partial sum processes with finite variance, Z. Wahrscheinlichkeitstheorie 70 (1985), 591-608. pdf file

20. R.F. Bass and M. Cranston, The Malliavin calculus for pure jump processes and applications to local time, Ann. Probability 14 (1986), 490-532. Jstor link

21. R.F. Bass and R. Pyke, Central limit theorem for D(A) -valued processes, Stoch. Proc. & their Applic. 24 (1987), 109-132. pdf file

22. V. Trivedi, I. Moscovice, J. Brooks, and R.F. Bass, A semi-Markov model for primary health care manpower supply prediction, Management Sciences 33 (1987), 149-159. Jstor link

23. R.F. Bass and E. Pardoux, Uniqueness for diffusions with piecewise constant coefficients, Probab. Th. & related Fields 76 (1987), 557-572. pdf file

24. R.F. Bass, L_p inequalities for functionals of Brownian motion, Séminaire de Probabilités XXI, 206-217, Springer, New York, 1987. pdf file

25. R.F. Bass, Probability estimates for multiparameter Brownian processes, Ann. Probability 16 (1988), 251-264. Jstor link

26. R.F. Bass, Occupation time densities for stable-like processes and other pure jump Markov processes, Stoch. Proc. & their Applic. 29 (1988), 65-83. pdf file

27. R.F. Bass, Uniqueness in law for pure jump Markov processes, Probab. Th. & related Fields 79 (1988), 271-287. pdf file

28. M.T. Barlow and R.F. Bass, The construction of Brownian motion on the Sierpinski carpet, Ann. de l'Institut H. Poincaré 25 (1989), 225-257. pdf file

29. R.F. Bass, Using stochastic comparison to estimate Green's functions, Séminaire de Probabilités XXIII, 421-425, Springer, New York, 1989. pdf file

30. R.F. Bass, The Dirichlet problem for radially homogeneous elliptic operators, Trans. Amer. Math. Soc. 320 (1990), 593-614. Jstor link

31. M.T. Barlow and R.F. Bass, Local times for Brownian motion on the Sierpinski carpet, Probab. Th. & related Fields, 85 (1990), 91-104. pdf file

32. R.F. Bass, A probabilistic approach to the boundedness of singular integral operators, Séminaire de Probabilités XXIV, 15-40, Springer, New York, 1990. pdf file

33. R. Bañuelos, R.F. Bass, and K. Burdzy, A representation of local time for Lipschitz surfaces, Probab. Th. & related Fields 84 (1990), 521-547. pdf file

34. R.F. Bass and K. Burdzy, A probabilistic proof of the boundary Harnack principle, Seminar on Stochastic Processes, 1989, 1-16, Birkhäuser, Boston, 1990. pdf file

35. R.F. Bass and P. Hsu, The semimartingale structure of reflecting Brownian motion, Proc. Amer. Math. Soc., 108 (1990), 1007-1010. Jstor link

36. M.T. Barlow, R.F. Bass, and J.D. Sherwood, Resistance and spectral dimension for Sierpinski carpets, J. Phys. A: Math. Gen. 23 (1990), L253-L258. pdf file

37. M.T. Barlow and R.F. Bass, On the resistance of the Sierpinski carpet, Proc. Royal Soc., Ser. A 431 (1990), 345-360. pdf file

38. R.F. Bass and P. Hsu, Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains, Ann. Probability, 19 (1991), 486-508. Jstor link

39. R.F. Bass and K. Burdzy, A boundary Harnack principle for twisted Hölder domains, Annals of Math., 134 (1991), 253-276. Jstor link

40. R. Bañuelos, R.F. Bass, and K. Burdzy, Hölder domains and the boundary Harnack principle, Duke Math. J., 64 (1991), 195-200. pdf file

41. R.F. Bass and K. Burdzy, Lifetimes of conditioned diffusions, Probab. Th. & related Fields, 91 (1992) 405-444. pdf file

42. R.F. Bass, A centred norm inequality for singular integral operators, Math. Proc. Cambridge Phil. Soc., 112 (1992) 369-383. pdf file

43. M.T. Barlow and R.F. Bass, Transition densities for Brownian motion on the Sierpinski carpet, Probab. Th. & related Fields, 91 (1992) 307-330. pdf file

44. R.F. Bass and D. Khoshnevisan, Stochastic calculus and the continuity of local times of Lévy processes, Séminaire de Probabilités XXVI, 1-10, Springer, New York, 1992. pdf file

45. R.F. Bass and D. Khoshnevisan, Local times on curves and uniform invariance principles, Probab. Th. & related Fields, 92 (1992) 465-492. pdf file

46. R.F. Bass and K. Burdzy, The Martin boundary in non-Lipschitz domains, Trans. Amer. Math. Soc., 337 (1993) 361-378. Jstor link

47. R.F. Bass and D. Khoshnevisan, Intersection local times and Tanaka formulas, Ann. de l'Institut H. Poincaré, 29 (1993) 419-451. pdf file

48. R.F. Bass and D. Khoshnevisan, Strong approximations to Brownian local time, Seminar on Stochastic Processes, 1992, 43-65, Birkhäuser, Boston, 1993. pdf file

49. R.F. Bass and K. Burdzy, (managing editors) Seminar on Stochastic Processes 1992, Birkhäuser, Boston, 1993.

50. R.F. Bass and D. Khoshnevisan, Rates of convergence to Brownian local time, Stoch. Proc. & Appl., 47 (1993) 197-213. pdf file

51. R.F. Bass and K. Burdzy, On domain monotonicity of the Neumann heat kernel, J. Functional Anal., 116 (1993) 215-224. pdf file

52. M.T. Barlow and R.F. Bass, Coupling and Harnack inequalities for Sierpinski carpets, Bull. Amer. Math. Soc., 29 (1993) 208-212. pdf file

53. R.F. Bass and K. Burdzy, The boundary Harnack principle for non-divergence form elliptic operators, J. Lon. Math. Soc., 50 (1994) 157-169. pdf file

54. R.F. Bass, K. Burdzy, and D. Khoshnevisan, Intersection local times for points of infinite multiplicity, Ann. Probab., 22 (1994) 566-625. Jstor link

55. R.F. Bass, Probabilistic Techniques in Analysis, New York, Springer, 1995. 392 pages.

56. R.F. Bass and D. Khoshnevisan, Laws of the iterated logarithm for local times of the empirical process, Ann. Probab., 23 (1995) 388-399. Jstor link

57. R.F. Bass and K. Burdzy, Conditioned Brownian motion in planar domains, Probab. Theory & rel. Fields, 101 (1995) 479-493. pdf file

58. R.F. Bass, Brownian motion, heat kernels, and harmonic functions Proc. International Congress of Mathematicians 1994, Vol. 2, 980-985, Birkhäuser, Basel, 1995. pdf file

59. R.F. Bass, The Doob-Meyer decomposition revisited Can. Math. Bull., 39 (1996) 138-150. pdf file

60. R.F. Bass and K. Burdzy, A critical case for Brownian slow points, Probab. Th. & rel. Fields, 105 (1996) 85-108. pdf file

61. R.F. Bass and K. Burdzy, Eigenvalue expansions for Brownian motion with an application to occupation times, Electronic J. Prob., 1 (1996) Paper no. 3, 1-19. EJP link

62. R.F. Bass, Uniqueness for the Skorokhod equation with normal reflection in Lipschitz domains Electronic J. Prob, 1 (1996) Paper no. 11, 1-29. EJP link

63. R.F. Bass, Diffusions on the Sierpinski carpet. Trends in Probability and Related Analysis, 1-34, World Scientific, Singapore, 1997. pdf file

64. R.F. Bass, A review of Ross G. Pinsky Positive harmonic functions and diffusion: an integrated analytic and probabilistic approach. Ann. Probab., 25 (1997) 1532-1535.

65. R.F. Bass, Diffusions and Elliptic Operators, New York, Springer, 1997. 231 pages.

66. M.T. Barlow, R.F. Bass, and K. Burdzy, Positivity of Brownian transition densities, Electronic Comm. Prob., 2 (1997) 43-51. ECP link

67. R.F. Bass and K. Burdzy, Cutting Brownian paths, Mem. Amer. Math. Soc., 137 (1999) Number 657, 99 pages. pdf file

68. M.T. Barlow and R.F. Bass, Brownian motion and harmonic analysis on Sierpinski carpets, Canad. J. Math. 51, (1999), 673-744. pdf file

69. M.T. Barlow and R.F. Bass, Random walks on graphical Sierpinski carpets, In: Random walks and discrete potential theory, 26-55, Cambridge, Cambridge Univ. Press, 1999. pdf file

70. R.F. Bass and K. Burdzy, Stochastic bifurcation models, Ann. Prob., 27 (1999) 50-108. pdf file

71. R.F. Bass, A review of Mark Yor: Some aspects of Brownian motion, Part II: some recent martingale problems, Metrika 49 (1999) 164-165.

72. R.F. Bass and E. Hsu, Pathwise uniqueness for reflecting Brownian motion in Euclidean domains, Probab.Th. rel. Fields 117 (2000) 183-200. pdf file

73. R.F. Bass, N. Eisenbaum, and Z. Shi, The most visited sites for symmetric stable processes, Probab. Th. rel. Fields 116 (2000) 391-404. pdf file

74. M.T. Barlow, R.F. Bass, and C. Gui, The Liouville property and a conjecture of De Giorgi, Comm. Pure Appl. Math. 53 (2000) 1007-1038. pdf file

75. R.F. Bass and T. Kumagai, Laws of the iterated logarithm for some symmetric diffusion processes, Osaka J. Math. 37 (2000) 625-650. pdf file

76. R.F. Bass and K. Burdzy, Fiber Brownian motion and the ``hot spots'' problem, Duke Math. J. 105 (2000) 25-58. pdf file

77. M.T. Barlow and R.F. Bass, Divergence form operators on fractal-like domains, J. Functional Anal. 175 (2000) 214-247. pdf file

78. R.F. Bass and E. Perkins, On the martingale problem for super-Brownian motion, Séminaire de Probabilités XXXV, 195-201, Springer, New York, 2001. pdf file

79. R.F. Bass and K. Burdzy, The supremum of Brownian local times on Hölder curves, Ann. I.H. Poincaré 37 (2001) 627-642; 38 (2002) 799-800. pdf file

80. R.F. Bass and Z.-Q. Chen, Stochastic differential equations for Dirichlet processes, Probab. Th. rel. Fields 121, (2001) 422-446. pdf file

81. R.F. Bass, A uniqueness result for harmonic functions, Proc. Amer. Math. Soc. 130 (2002) 1711-1716. pdf file

82. R.F. Bass, B. Hambly, and T.J. Lyons, Extending the Wong-Zakai theorem to reversible Markov processes, J. European Math. Soc. 4 (2002) 237-269. pdf file

83. R.F. Bass and D.A. Levin, Harnack inequalities for jump processes, Potential Anal. 17 (2002) 375-388. pdf file

84. R.F. Bass and T. Kumagai, Laws of the iterated logarithm for the range of random walks in two and three dimensions, Ann. Probab. 30 (2002) 1369-1396. pdf file

85. R.F. Bass, On Aronson's upper bounds for heat kernels, Bull. London Math. Soc. 34 (2002) 415-419. pdf file

86. S. Athreya, M.T. Barlow, R.F. Bass, and E. Perkins, Degenerate stochastic differential equations and super-Markov chains, Probab. Th. rel. Fields 123 (2002) 484-520. pdf file

87. R.F. Bass and D.A. Levin, Transition probabilities for symmetric jump processes, Trans. Amer. Math. Soc. 354 (2002) 2933-2953. pdf file

88. R.F. Bass, Stochastic differential equations driven by symmetric stable processes, Séminaire de Probabilités XXXVI, 302-313, Springer, New York, 2003. pdf file

89. R.F. Bass and Z.-Q. Chen, Brownian motion with singular drift, Ann. Probab. 31 (2003), 791-817. pdf file

90. R.F. Bass and E. Perkins, Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains, Trans. Amer. Math. Soc. 355 (2003) 373-405. pdf file

91. R.F. Bass and H. Farnsworth, The term structure with semi-credible targeting, J. Finance 58 (2003) 839-866. pdf file

92. R.F. Bass and D. You, A Fatou theorem for α-harmonic functions, Bull. Sciences Math. 127 (2003) 635-648. pdf file

93. M.T. Barlow and R.F. Bass, Stability of parabolic Harnack inequalities, Trans. Amer. Math. Soc. 356 (2004) 1501-1533. pdf file

94. R.F. Bass, K. Burdzy, and Z.-Q. Chen, Stochastic differential equations driven by stable processes for which pathwise uniqueness fails, Stoch. Proc. & their Applic. 111 (2004) 1-15. pdf file

95. R.F. Bass, K. Burdzy, and Z.-Q. Chen, Uniqueness of reflecting Brownian motion in lip domains, Ann. I.H. Poincaré. 41 (2005) 197-235. pdf file

96. R.F. Bass, J. Horák, and P.J. McKenna, On the lift-off constant for elastically supported plates, Proc. Amer. Math. Soc. 132 (2004) 2951-2958. pdf file

97. R.F. Bass and X. Chen, Self-intersection local time: critical exponent, large deviations, and laws of the iterated logarithm, Ann. Probability 32 (2004) 3221-3247. pdf file

98. R.F. Bass and M. Kassmann, Harnack inequalities for non-local operators of variable order, Trans. Amer. Math. Soc. 357 (2005) 837-850. pdf file

99. R.F. Bass, and K. Gröchenig, Random sampling of multivariate trigonometric polynomials, SIAM J. of Math. Anal. 36 (2004) 773-795. pdf file

100. R.F. Bass, Stochastic differential equations with jumps, Prob. Surveys 1 (2004) 1-19. pdf file

101. R.F. Bass and Z.-Q. Chen, Systems of equations driven by stable processes, Prob. Theory rel. Fields 134 (2006) 175-214. pdf file

102. S. Athreya, R.F. Bass, and E. Perkins, Hölder norm estimates for elliptic operators on finite and infinite dimensional spaces, Trans. Amer. Math. Soc. 357 (2005) 5001-5029. pdf file

103. R.F. Bass, X. Chen, and J. Rosen, Large deviations for renormalized self-intersection local times of stable processes, Ann. Prob. 33 (2005) 984-1013. pdf file

104. R.F. Bass and E. Perkins, Countable systems of degenerate stochastic differential equations with applications to super-Markov chains, Electron. J. Probab. 9 (2004) 634-673. pdf file

105. R.F. Bass and M. Kassmann, Hölder continuity of harmonic functions with respect to operators of variable order, Comm. PDE 30 (2005) 1249-1259. pdf file

106. R.F. Bass and J. Rosen, An almost sure invariance principle for the range of planar random walks, Ann. Prob. 33 (2005) 1856-1885. pdf file

107. R.F. Bass and Z.-Q. Chen, One-dimensional stochastic differential equations with singular and degenerate coefficients, Sankhya 67 (2005) 19-45. pdf file

108. R.F. Bass and J. Rosen, An almost sure invariance principle for renormalized intersection local times, Electron. J. Probab. 10 (2005) 124-164. pdf file

109. R.F. Bass and D. You, A Fatou theorem for α-harmonic functions in Lipschitz domains, Prob. Th. rel. Fields 133 (2005) 391-408. pdf file

110. M.T. Barlow, R.F. Bass, and T. Kumagai, Stability of parabolic Harnack inequalities on metric measure spaces, J. Math. Soc. Japan 58 (2006) 485-519. pdf file See also the accompanying note: Note on the equivalence of parabolic Harnack inequalies and heat kernel estimates. pdf file

111. J. Vadiveloo and R.F. Bass, Actuarial analysis of different interpretations of SOP-03-01, Fin. Reporter of Soc. of Actuaries, 60 March, 2005, 1-5. pdf file

112. S.R. Athreya, R.F. Bass, M. Gordina, and E.A. Perkins, Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type, Stoch. Proc. & their Applic. 116 (2006) 381-406. pdf file

113. R.F. Bass, K. Burdzy, and Z.-Q. Chen, On the Robin problem in fractal domains, Proc. London Math. Soc., to appear. pdf file

114. R.F. Bass, X. Chen, and J. Rosen, Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks, Electron. J. Probab. 11 (2006) 993-1030. pdf file

115. R.F. Bass and T. Kumagai, Symmetric Markov chains on Z^d with unbounded range, Trans. Amer. Math. Soc. 360 (2008) 2041-2075. pdf file

116. R.F. Bass and K. Burdzy, Pathwise uniqueness for two dimensional reflecting Brownian motion in Lipschitz domains, Electronic Comm. Probab. 11 (2006) 178-181. pdf file

117. R.F. Bass and A. Lavrentiev, The submartingale problem for a class of degenerate elliptic operators, Probab. Th. rel. Fields, 139 (2007) 415-449. pdf file

118. R.F. Bass, K. Burdzy, and Z.-Q. Chen, Pathwise uniqueness for a degenerate stochastic differential equation, Ann. Prob., 35 (2007) 2385-2418. pdf file

119. R.F. Bass, X. Chen, and J. Rosen, Moderate deviations for the range of planar random walks, Memoirs AMS, to appear. pdf file

120. R.F. Bass and J. Rosen, Frequent points for random walks in two dimensions, Electronic J. Probab. 12 (2007) 1-46. pdf file

121. M.T. Barlow, R.F. Bass, Z.-Q. Chen, and M. Kassmann, Non-local Dirichlet forms and symmetric jump processes, Trans. AMS, to appear. pdf file

122. M.T. Barlow, R.F. Bass, and T. Kumagai, Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps Math. Z., to appear. pdf file

123. R.F. Bass and K. Burdzy, On pathwise uniqueness for reflecting Brownian motion in C^1+γ domains, Ann. Probability, to appear. pdf file

124. R.F. Bass, X. Chen, and J. Rosen, Large deviations for Riesz potentials of additive processes, Ann. de l'Institut H. Poincaré, to appear. pdf file

125. R.F. Bass and K. Gröchenig, Random sampling of band-limited functions, preprint. pdf file

126. R.F. Bass and H. Tang, The martingale problem for a class of stable-like processes, preprint. pdf file

127. R.F. Bass and E.A. Perkins, A new technique for proving uniqueness for martingale problems, preprint. pdf file

128. R.F. Bass and E.A. Perkins, Degenerate stochastic differential equations arising from catalytic branching networks, preprint. pdf file

129. R.F. Bass, M. Kassmann, and T. Kumagai, Symmetric jump processes: localization, heat kernels, and convergence, preprint. pdf file

130. R.F. Bass, K. Burdzy, Z.-Q. chen, and M. Hairer, Stationary distributions for diffusions with inert drift, preprint. pdf file