BIBLIOGRAPHY

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

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

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

4. R.F. Bass and M. Cranston,
Brownian motion with lower class moving boundaries which grow faster than t1/2,
Ann. Probability 11 (1983), 34-39.

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

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

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

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

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

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.

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.

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

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

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

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

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.
See also Correction to: Local laws of the iterated logarithm for diffusions,

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

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.

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

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.

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

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.

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

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

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

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

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

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.

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

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

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.

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

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.

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.

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

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.

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

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.

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

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

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

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

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.

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

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

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

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

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

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.

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

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

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.

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

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.

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

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

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

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

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.

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.

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

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.

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

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

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.

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

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.
See also the paper On pathwise uniqueness for reflecting Brownian motion in C1+γ domains for further information.

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.

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.

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

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

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

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.

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.
See also Correction to: The supremum of Brownian local times on Hölder curves.

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

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

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.

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

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.

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

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.

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

88. R.F. Bass,
Stochastic differential equations driven by symmetric stable processes,
Séminaire de Probabilités XXXVI, 302-313, Springer, New York, 2003.
See also the paper Stochastic differential equations driven by stable processes for which pathwise uniqueness fails for further information.

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

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.

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

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

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

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

95. 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.

96. 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.

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

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

99. 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.

100. R.F. Bass, K. Burdzy, and Z.-Q. Chen,
Uniqueness of reflecting Brownian motion in lip domains,
Ann. de l'Institut H. Poincaré 41, (2005) 197-235.

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

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.

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.

104. R.F. Bass and M. Kassmann,
Hölder continuity of harmonic functions with respect to operators of variable order,
Comm. PDE 30 (2005) 1249-1259.
See also: Correction.

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

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

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

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

109. 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.

110. R.F. Bass and Z.-Q. Chen,
Systems of equations driven by stable processes,
Probab. Th. rel. Fields 134 (2006) 175-214.

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

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

113. 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.

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

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

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

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

118. R.F. Bass, K. Burdzy, and Z.-Q. Chen,
On the Robin problem in fractal domains,
Proc. London Math. Soc. 96 (2008) 273-311.

119. R.F. Bass and T. Kumagai,
Symmetric Markov chains on Zd with unbounded range,
Trans. Amer. Math. Soc. 360 (2008) 2041-2075.

120. R.F. Bass and K. Burdzy,
On pathwise uniqueness for reflecting Brownian motion in C1+γ domains,
Ann. Probab. 36 (2008) 2311-2331.

121. R.F. Bass and E.A. Perkins,
Degenerate stochastic differential equations arising from catalytic branching networks,
Electron. J. Probab. 13 (2008) 1808-1885.

122. R.F. Bass, X. Chen, and J. Rosen,
Moderate deviations for the range of planar random walks,
Memoirs Amer. Math. Soc. 198 (2009) Number 929, 82 pages.

123. M.T. Barlow, R.F. Bass, Z.-Q. Chen, and M. Kassmann,
Non-local Dirichlet forms and symmetric jump processes,
Trans. Amer. Math. Soc. 361 (2009) 1963-1999.

124. 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. 261 (2009) 297-320.

125. R.F. Bass and H. Tang,
The martingale problem for a class of stable-like processes,
Stoch. Proc. Applic. 119 (2009) 1144-1167.

126. R.F. Bass,
Regularity results for stable-like operators,
J. Functional Anal. 257 (2009) 2693-2722.

127. R.F. Bass, X. Chen, and J. Rosen,
Large deviations for Riesz potentials of additive processes,
Ann. de l'Institut H. Poincaré 45 (2009) 626-666.

128. R.F. Bass and E.A. Perkins,
A new technique for proving uniqueness for martingale problems,
From Probability to Geometry (I): Volume in Honor of the 60th Birthday of Jean-Michel Bismut, 47-53.
Société Mathématique de France, Paris, 2009.

129. R.F. Bass, K. Burdzy, Z.-Q. Chen, and M. Hairer,
Stationary distributions for diffusions with inert drift,
Probab. Th. rel. Fields 146 (2010) 1-47.

130. R.F. Bass,
The measurability of hitting times ,
Electron. Comm. Probab. 15 (2010) 99-105; 16 (2011) 189-191.
See also Correction to: The measurability of hitting times.
In addition see also a version that incorporates the correction.

131. M.T. Barlow, R.F. Bass, T. Kumagai, and A. Teplyaev,
Uniqueness for Brownian motion on Sierpinski carpets,
J. Europ. Math. Soc. 12 (2010) 655-701.
See also the accompanying note:
Supplementary notes on Uniqueness for Brownian motion on Sierpinski carpets .

132. R.F. Bass and K. Gröchenig,
Random sampling of band-limited functions,
Israel J. Math. 177 (2010) 1-28.

133. R.F. Bass, T. Kumagai, and T. Uemura,
Convergence of symmetric Markov chains on Zd,
Probab. Th. rel. Fields 148 (2010) 107-140.

134. R.F. Bass, M. Kassmann, and T. Kumagai,
Symmetric jump processes: localization, heat kernels, and convergence,
Ann. de l'Institut H. Poincaré 46 (2010) 59-71.

135. R.F. Bass and Z.-Q. Chen,
Regularity of harmonic functions for a class of singular stable-like processes,
Math. Z. 266 (2010) 489-503.

136. R.F. Bass, Stochastic Processes,
Cambridge University Press, Cambridge, 2011. xv+390 pp.

137. R.F. Bass, Real Analysis for Graduate Students: Measure and Integration Theory,
CreateSpace, Charleston, 2011. xiv+194 pp.

138. R.F. Bass and E.A. Perkins,
On uniqueness in law for parabolic SPDEs and infinite dimensional SDEs.
Electronic J. Prob., 17 (2012) Paper no. 36, 1-54.

139. R.F. Bass, and M. Gordina,
Harnack inequalities in infinite dimensions,
J. Functional Anal., 263 (2012) 3707-3740.

140. R.F. Bass, Real Analysis for Graduate Students, Second Edition,
CreateSpace, Charleston, 2013. xvi+402 pp.

141. R.F. Bass,
A stability theorem for elliptic Harnack inequalities ,
J. Europ. Math. Soc., 17 (2013) 856-876.

142. R.F. Bass, and H. Ren,
Meyers inequality and strong stability for stable-like operators,
J. Functional Anal., 265 (2013) 28-48.

143. R.F. Bass, and K. Gröchenig,
Relevant sampling of band-limited functions,
Illinois J. Math., 57 (2013) 43-58.

144. R.F. Bass,
A stochastic differential equation with a sticky point,
Electron. J. Probab., 19 (2014) Article 32, 1-22.

145. R.F. Bass, Real Analysis for Graduate Students, Version 2.1,
CreateSpace, Charleston, 2014. xvi+402 pp.