PAPERS

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1970-1979

1. "On the Baire System Generated by a Linear Lattice of Functions," Fundamenta Mathematicae 68(1970), 51-59.
2. "Sigma-ideals and Related Baire Systems," Fundamenta Mathematicae 71(1971), 171-178.
3. "Some Examples of Sigma-ideals and Related Baire Systems," Fundamenta Mathematicae 71(1971), 179-184.
4. "On the Stieltjes Integrability of Dense Subsets of C[a,b]," Revue Roumaine de Mathematiques Pures et Appliquees 17(1972), 1623-1624.
5. "A Representation Theorem of the 2nd Dual of C[0,1]," Studia Mathematica 46(1973), 197-200.
6. "On Borel Measures and Baire's Class 3," Proceedings American Mathematical Societyá39(1973), 308-312.
7. "The Baire Order of the Functions Continuous Almost Everywhere," Proceedings American Mathematical Society 41(1973), 535-540.
8. "On Sets Generated by Rectangles," (with R.H. Bing and W.W. Bledsoe) Pacific Journal of Mathematics 51(1974), 27-36.
9. "Baire Functions, Borel Sets and Ordinary Function Systems," Advances in Mathematics 12(1974), 418-450.
10. "The Baire Order of the Functions Continuous Almost Everywhere, II," Proceedings American Mathematical Society 51(1975), 371-377.
11. "The Continuum Hypothesis, Integration and Duals of Measure Spaces," Illinois Journal of Mathematics 19(1975), 34-40.
12. "Homeomorphisms of the Plane," (with B.L. Brechner), Pacific Journal of Mathematics 59(1975), 375-381.
13. "Countably Generated Families," Proceedings American Mathematical Society 54(1976), 291-297.
14. "On Non-isomorphic Analytic Sets," Proceedings American Mathematical Society 58(1976), 241-244.
15. "On Non-isomorphic Projective Sets," Mathematika, 23(1976), 151-155. propties of sets defined by restrictions on thier exapansions in various bases - the see paper by Mauldin and williams in the TAMS
16. "The Non-Existence of Certain Invariant Measures," (with P. Erdos) Proceedings American Mathematical Society 59(1976), 321-322.
17. "EC+ Homeomorphisms of Euclidean Spaces," (with B. Brechner), Topology Proceedings, 1(1976), 335-343.
18. "On Rectangles and Countably Generated Families," Fundamenta Mathematicae, 95(1977), 129-139.
19. "Some Effects of Set-Theoretical Assumptions in Measure Theory," Advances in Mathematics 27(1978), 45-62.
20. "The Boundedness of the Cantor-Bendixson Order of Certain Analytic Sets," Pacific Journal of Mathematics 74(1978), 167-177.
21. "A Cross Section Theorem and an Application to C*-Algebras," (with R.R. Kallman), Proceedings American Mathematical Society 69(1978), 57-61.
22. "Measurable Parametrizations and Selections," (with D. Cenzer), Transactions American Mathematical Society 245(1978), 399-408.
23. "The Existence of Non-measurable Sets," American Mathematical Monthly 87(1979), 45-46.
24. "Borel Parametrizations," Transactions American Mathematical Society 250(1979), 223-234.
25. "The Set of Continuous Nowhere Differentiable Functions," Pacific Journal of Mathematics 83(1979), 199-205.  Correction,  Pacific. J.  Math. 121(1986), 110-111.

1980-1989

26. "Rotations of the Circle," (with P. Erdos), Lecture Notes in Mathematics, Measure Theory, Oberwolfach 1979, Vol. 794, Springer-Verlag, Heidelberg, 1980, 53-56.
27. "Some Selection Theorems and Problems," Lecture Notes in Mathematics, Measure Theory, Oberwolfach 1979, Vol. 794, Springer-Verlag, Heidelberg, l980, 160-165.
28. "On Positively Regular Homeomorphisms of Euclidean Spaces," (with B.L. Brechner), General Topolog propties of sets defined by restrictions on thier exapansions in various bases - the see paper by Mauldin and williams in the TAMSy and Its Applications, 11(1980), 232-242.
29. "Faithful Extensions of Analytic Sets to Borel Sets," (with D. Cenzer), Houston Journal of Mathematics 6(1980), 19-29.
30. "Inductive Definability: Measure and Category," (with D. Cenzer), Advances in Mathematics, 38(1980), 55-90.
31. "On the Borel Subspaces of Algebraic Structures," Indiana University Mathematical Journal 29(1980), 161-165.
32. "Bimeasurable Functions," Proceedings American Mathematical Society 83(1981), 369-371.
33. "Continuous One-to-One Parametrizations," (with H. Sarbadhikari), Bulletin des Sciences Mathematiques, 105(1981), 435-444.
34. "Some Additive Properties of Sets of Real Numbers," (with P. Erdos and K. Kunen), Fundamenta Mathematicae, 113(1981), 187-199.
35. "Conditional Distributions and Orthogonal Measures," (with J.P. Burgess), Annals of Probability, 9(1981), 902-906.
36. "Parametrizations of Coanalytic Sets with Relatively Nonmeager Sections," (with S. Srivastava), Comptes Rendus de l'academie des Sciences, Paris, Series I, 292(l981), 743-745.
37. "Realizations of Maps," (with A.H. Stone), Michigan Journal of Mathematics, 28(1981), 369-374.
38. "Projective Well-orderings and Extensions of Lebesgue Measure," Colloquium Mathematicum, 46(2) (1982), 185-188.
39. "One-to-One Selections - Marriage Theorems," American Journal of Mathematics, 104(1982), 823-828.
40. "On the Borel Class of the Derived Set Operator," (with D. Cenzer), Bulletin Societe Mathematiques France, 110(4) (1982), 357-380.
41. "Realizations of Maps," (with A.H. Stone), Lecture Notes in Mathematics, Measure Theory, Oberwolfach 1981, Vol. 945, Springer-Verlag, Heidelberg, 1982, 145-149.
42. "A Survey of Problems and Results Concerning Orthogonal Transition Kernels," (with D. Preiss and H.v. Weizsäcker), Lecture Notes in Mathematics, Measure Theory, Oberwolfach l981, Vol 945, Springer-Verlag, Heidelberg, 1982, 419-424.
43. Editor, The Scottish Book, Birkhauser-Boston, Inc., Boston, Mass., 1982, 281 pages.
44. "The Generalized Riemann Integral," by R. M. McLeod, book review, Mathematical Intelligencer, 4(4) (1982), 197-198.
45. "On the Hausdorff Dimension of a Set of Continued Fractions," (with R.J. Gardner), Illinois Journal of M propties of sets defined by restrictions on thier exapansions in various bases - the see paper by Mauldin and williams in the TAMSathematics, 27(2) (1983), 334-345.
46. "Measurable Representations of Preference Orders," Transactions American Mathematical Society 275(2) (1983), 761-769.
47. "Orthogonal Transition Kernels," (with D. Preiss and H.v. Weizsacker), Annals of Probability, 11(4) (1983), 970-988.
48. "Representations of Well-Founded Preference Orders," (with D. Cenzer), Canadian Journal of Mathematics, 35(3) (1983), 496-508.
49. "On the Borel Class of the Derived Set Operator II," (with D. Cenzer), Bulletin Societe Mathematiques France, 111(1983), 367-372.
50. "Problem 24 of the Scottish Book," (with I. Labuda), Colloquium Mathematicum, 48(1) (1984), 89-91.
51. "Random Homeomorphisms," (with S. Graf and S. Williams), Lecture Notes in Mathematics, Measure Theory, Oberwolfach 1983, Vol. 1089, Springer-Verlag, Heidelberg, 1984, 23-26.
52. "Borel Equivalence and Isomorphism of Coanalytic Sets," (with D. Cenzer) Dissertationes Mathematicae (=Rozprawy Matematyczne) CCXXVIII(1984), 32 pages.
53. "A Parametrization Theorem," (with G. Magerl and E. Michael), Topology and Its Applications, 21(l985), 87-94.
54. "Measurable One-to-One Selections and Transition Kernels," (with S. Graf), American Journal of Mathematics, 107(2) (1985), 407-426.
55. "Ulam's Redistribution of Energy Problem: Collision Transformations," (with D. Blackwell), Letters in Mathematical Physics 10(l985), 149-153.
56. "Random Homeomorphisms," (with S. Graf and S. Williams), Advances in Mathematics, 60(1986), 239-359.
57. "Shift Maximal Sequences: Existence, Uniqueness and Multiplicity," (with W.A. Beyer and P.R. Stein), Los Alamos Report LA-UR-84-2507, Journal of Mathematics and its Applications 115(1986), 305-362.
58. "Coalition Convex Preference Orders Are Almost Surely Convex," Journal of Mathematics and its Applications 114(1986), 548-551.
59. "Random Recursive Constructions: Asymptotic Geometric and Topological Properties" (with S. Williams), Transactions American Mathematical Society 295(1986), 325-346.
60. "On the Hausdorff Dimension of Some Graphs," (with S. C. Williams), Transactions American Mathematical Society 298 (2) (1986), 793-803.
61. "On the Hausdorff Dimension of Graphs and Random Recursive Objects," Dimensions and Entropies in Chaotic Systems, Quantification of Complex Behavior, Edited by G. Mayer-Kress, Springer-Verlag, New York, 1986, 28-33.
62. "Problems and Games in Mathematics," (with S.M. Ulam), Advances in Applied Mathematics 8(1987), 281-344.
63. "The Exact Hausdorff Dimension in Random Recursive Constructions," (with S. Graf and S.C. Williams), Proceedings National Academy Science 84(1987), 3959-3961.
64. "The Volume Common to Two Congruent Circular Cones," (with W. Beyer, R. Fawcett, B. Swartz), Los Alamos Report LA-UR-84-2654, Journal of Symbolic Computations 4(1987), 381-390.
65. "The Exact Hausdorff Dimension in Random Recursive Constructions," (with S. Graf and S.C. Williams), Memoirs American Mathematical Society, Volume 381, 1988, 126 pages.
66. "Bijections of Rⁿ Onto Itself," (with R.J. Gardner), Geometriae Dedicata, 26(1988), 323-331.
67. "Hausdorff Dimension in Graph Directed Constructions," (with S. C. Williams), Transactions American Mathematical Society, 309(1988), 811-829.
68. "Mathematics of dimension measurement for graphs of functions," (with P. Carter and R. Cawley), in Fractal Aspects of Materials: Disordered Systems, edited by D. A. Weitz, L. M. Sander and B. B. Mandelbrot, Materials Research Society, Pittsburg, 1988,183-186.
69. "Rigorous multifractal analysis,"(with R. Cawley and S. Hamel), in Fractal Aspects of Materials: Disordered Systems, edited by D. A. Weitz, L. M. Sander and B. B. Mandelbrot, Materials Research Society, Pittsburg, 1988, 131-134.
70. "Probability and Nonlinear Systems," Los Alamos Science, No. 15, Fall l987, 52-90. Reprinted in From Cardinals to Chaos, Edited by Necia Grant Cooper, Cambridge University Press, 1989.
71. Editor, Measure and Measurable Dynamics, Contemporary Mathematics, 94(1989), published by the American Mathematical Society, Providence, R. I., 349 pages.
72. "One-to-one selections and orthogonal transition kernels," Measure and Measurable Dynamics, Contemporary Mathematics, 94(1989), 185-190.
73. "A classification of disintegrations of measures," (with S.Graf), Measure and Measurable Dynamics, Contemporary Mathematics, 94(1989), 147-158.
74. "Scaling Hausdorff measures," (with S. C. Williams), Mathematika, 36(1989), 325-333.
75. "Borel measurable selections and applications of the boundedness principle," (with G. Schlee), Real Analysis Exchange, 15(1) (1989), 70-92.

1990-1999

76. "Reinforced random walks and random distributions,"(with S. C. Williams), Proceedings of the American Mathematical Society, 110 (1990), 251-258.
77. "The Birkhoff center and analytic sets," American Journal of Mathematics, 112(1990), 97-105.
78. "Problems in topology arising from analysis," in Open Problems in Topology, edited by J. V. Mill and G. M. Reed, North Holland Publishing Co., Amsterdam, 1990, 619-629.
79. "Some orthogonality preserving kernels which are not completely orthogonal," (with H.v. Weizsacker), Annals of Probability, 19(1) (1991), 396-400.
80. "Non-uniformization results for the projective hierarchy" (with Steve Jackson), Journal of Symbolic Logic, 56(1991), 742-748.
81. "Polya trees and random distributions," (with W. D. Sudderth and S. C. Williams), Annals of Statistics, 20(1992), 1203-1221.
82. "Multifractal decompositions of Moran fractals," (with R. Cawley), Advances in Mathematics, 92(1992), 196-236.
83. "Continua with [sigma]-finite linear measure," in Measure Theory, Oberwolfach 1990, Proceedings of the Conference held at Oberwolfach, March 18-24, 1990 Supplemento di Rendiconti del Circolo Matematico di Palermo, serie II, no. 38, 1992.
84. "Some complexity results in topology and analysis," (with S. Jackson), Fundamenta Mathematicae, 141(1992), 75-83.
85. "Multifractal decompositions of digraph recursive fractals," (with G.A.Edgar), Proceedings London Mathematical Society, 65(1992), 604 -628.
86. "Random circle homeomorphisms," (with T. Downarowicz and T. Warnock), Ergodic Theory and Dynamical Systems, 12(1992), 441-458.
87. "Borel measurable selections of Paretian utility functions," (with S. Jackson), Journal of Mathematical Economics, 23(1994), 361-378.
88. "Conformal repellors with topological dimension one are Jordan curves," (with M. Urbanski), Pacific Journal of Mathematics, 166(1994), 83-96.
89. "On partitions of lines and planes," (with P. Erdos and S. Jackson), Fundamenta Mathematicae, 145(1994), 101-119.
90. "Randomly generated distributions," (with M. Monticino), Israel Journal of Mathematics, 91(1995), 91-110.
91. "Infinite iterated function systems: Theory and applications," in Fractal Geometry and Stochastics Progress in Probability 37, 1995, edited by C. Bandt, S. Graf, and M. Zahle, Birkhauser, Basel.
92. "Directionally reinforced random walks," (with M. Monticino and H.v. Weiszacker), Advances in Mathematics, 117(1996), 239-252.
93. "Analytic non-Borel sets modulo null sets," Proceedings of the BEST Conferences 1-3, Boise, Idaho, Edited by T. Bartoszynski and M. Scheepers, Contemporary Mathematics, 192(1996), 69-70.
94. "Dimensions and measures in infinite iterated function systems, (with M. Urbanski), Proceedings London Mathematical Society,73(1996), 105-154.

95. "The order type of the set of Pisot numbers," (with David W. Boyd), Topology and Its Applications, 69(1996), 115-120.
96. "Redistribution of Velocity: Collision Transformations" (with S. C. Williams), in Statistics, Probability and Game Theory, Papers in Honor of David Blackwell, Institute of Mathematical Statistics, Lecture Notes - Monograph Series 30, 1996, 21 pages.
97. "Measure and dimension functions: Measurability and densities," (with P. Mattila), Proc. Cambridge Phil. Soc., 121(1997), 81-100.
98. "Generic properties of open billiards," (with A. Lopes), J. Math Anal. Appl., 205(1997), 251-258.
99. "On infinite partitions of lines and space" (with P. Erdos and S. Jackson), Fundamenta Mathematicae, 152(1997), 75-95. A generalization of Fermat's last theorem: the Beal Conjecture and Prize Problem, Notices American Mathematical  Society, 44 (1997), 1436-1437.
100. "On sets which meet each line in exactly two points," Bull. London Math. Soc. , 30(1998), 397-403. propties of sets defined by restrictions on thier exapansions in various bases - the see paper by Mauldin and williams in the TAMS
101. "The equivalence of some Bernoulli convolutions to Lebesgue measure" (with K. Simon), Proc. Amer. Math. Soc.,  126(1998), 2733-2736.
102. "On the uniqueness of the density for the invariant measure in an infinite hyperbolic iterated function system" (with M. Urbanski), Periodica Mathematica Hungarica, Vol. 37 (1-3), (1998), 47-53.
103. "Conformal measures for rational functions revisited" (with M. Denker, Z. Nitecki and M. Urbanski), Fund. Math., 157(1998), 161-173.
104. "Dimension and measures for a curvilinear Sierpinski gasket or Apollonian packings " (with M. Urbanski), Advances in Mathematics, 136(1998), 26-38.
105. "Conformal iterated function systems with applications to the geometry of continued fractions" (with M. Urbanski), Trans. Amer. Math. Soc., 351(1999), 4995-5025.
106. "On the sigma-class generated by open balls " (with S. Jackson), Proc. Cambridge Phil. Soc., 127 (1999), 99-108.
107. "Sur les series de translatees de fonctions positives" (with Z. Buczolich and J.-P. Kahane), C.R. Acad. Sci. Paris, t. 329, Serie I, (1999), 261-264. Erratum C.R. Acad. Sci. Paris, t. 329. Serie I, p. 855, 1999.
108. "On the convergence of  series of translates for measurable functions," (with Z. Buczolich), Mathematika,46 (1999), 337-341.

2000-

109. "Parabolic iterated function systems"(with M. Urbanski), Ergodic Theory and Dynamical Systems, 20 (2000), 1423-1447.
110. "Random linear cellular automata: Fractals associated with random multiplication of polynomials," (with G. Skordev), Japanese J. Math., 26 (2000), 381-406.
111. "No n point set is sigma Compact," (with K. Bouhjar and J. J. Dijkstra), Proc. Amer. Math. Soc., 129 (2000), 621-622.
112. "Rigidity of conformal iterated function systems" (with F. Przytycki and M. Urbanski), Compositio Math., 129 (2001), 273-299.
113. "On series of translates of positive functions," (with Z. Buczolich and J. Kahane), Acta Mathematica Hungarica, 98 (2001),  171-188.
114. "Scaling properties of Hausdorff and packing measures," (with M. Csornyei), Math. Ann., 319 (2001), 817-836.
115. "Rigidity of connected limit sets of conformal IFS," (with V. Mayer and M. Urbanski), Mich. Math. J. ,. 49 (2001), 451-458.
116. "Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems" (with P. Hanus and M. Urbanski), Acta Mathematica Hungarica,   96 (2002), 27-98.
117. "Deterministic and Random aspects of porosities," (with E. and M. Jarvenpaa), Discrete and Continuous Dynamics, 8 (2002), 121-136.
118. "Fractal measures for parabolic IFS," (with M. Urbanski), Advances Math., 168 (2002), 225-253.
119. "Gibbs states on the symbolic space over an infinite alphabet," (with M. Urbanski), Israel J. Math. , 125 (2001), 93-130.
120. "Packing measure and dimension of random fractals," (with A. Berlinkov), Journal of Theoretical Probability , 15 (2002), 695-713.
121. "Fubini-type theorems for general measure constructions," (with K.J. Falconer), Mathematika, 47 (2000), 251-265.
122. "On a lattice problem of H. Steinhaus," (with S. Jackson), Journal Amer. Math. Soc.   15 (2002), 817-856.  
123. "Some problems in set theory, geometry and analysis," in Paul Erdos and his Mathematics I; editors: G. Halasz, L. Lovasz, M. Simonovits and V. T. Sos., Bolyai Society Mathematical Studies,  Volume I, pages 493-505, 2002.
124. "On series of translates of positive functions II," (with Z. Buczolich), Indagationes Mathematicae, 12 (2001), 317-327.
125. "Quantization dimension for conformal iterated function systems," (with L. Lindsay), Nonlinearity, 15 (2002), 189-199.
126. "Some comments on infinite Boolean functions," (with U. Darji and C. Freiling), Colloquium Mathematicum, 94 (2002), 235-241.
127. "The doubling property of conformal measures of infinite iterated function systems," (with M. Urbanski), J. Number Th. 102 (2003), 23-40.
128. "Comments on the Steinhaus tiling problem," (with A. Yingst), Proc. Amer. Math. Soc., 131 (2003), 2071-2079.
129. "Sets meeting isometric copies of the lattice Z^2 in exactly one point," (with S. Jackson),  Proc. Nat'l Acad. Sci., 99 (25), (2002), 15883-15887.
130. "Graph Directed Markov Systems: Geometry  and Dynamics of Limit Sets," (with M. Urbanski), Cambridge Tracts in Mathematics, 148, Cambridge University Press,  2003.
131. "Ergodic optimization for non-compact dynamical systems," (with O. Jenkinson and M. Urbanski),  Dynamical Systems, 22 (2007), 379-388 .
132. "Survey of the Steinhaus tiling problem,"(with S. Jackson),  Bull. Symbolic Logic, 9 (2003), 335-361.
133. "Counting and convergence in ergodic theory,"(with I. Assani and Z. Buczolich), Acta Univ. Carolinae, 45 (2004), 5-21.
134. "An L^1 counting problem in ergodic theory,"(with I.Assani and Z. Buczolich), J. d' Analyse Math., 95 (2005), 221-241.
135. "Some remarks about output measures,"(with T. Downarowicz), Topology and Its Applications, 152 (2005), 11-25.
136. "Zero temperature limits of Gibbs-equilibrium states for countable alphabet subshifts of finite type," (with O. Jenkinson and M. Urbanski), J. Stat. Physics, 119 (2005), 765-776.
137. "On homeomorphic Bernoulli measures on the Cantor space," ( with R. Dougherty and A. Yingst), Trans. Amer. Math. Soc., 359 (2007), 6155-6166.
138. "On the unique representation of families of sets," (with S. Gao, S. Jackson and M. Laczkovich),  Trans. Amer. Math. Soc., 20 360 (2008), 939-958.
139. "Ergodic optimization for countable alphabet subshifts of finite type," (with O. Jenkinson and M. Urbanski ), Ergodic Theory and Dynamics Systems, 26 (2006), 1791-1803.
140. " Steinhaus tiling problem and integral quadratic forms," (with W.K Chan),  Proc. Amer. Math. Soc., 135 (2007), 337-342.
141. "Concepts behind divergent ergodic averages along squares," (with Z. Buczolich), Contemp. Math., 430 , Amer. Math. Soc., Providence, RI, 2007  22 pages.
142. "Which Bernoulli measures are good," (with E. Akin, R. Dougherty and A. Yingst), Colloquium Mathematicum, 110 (2008), 243-291.
143. "Constructing 1-M families, " the base case for the induction argument of divergent square averages., with Z. Buczolich, unpublished manuscript.
144. "A polynomial fixed point theorem," (with  P. Allaart),  Real Analysis Exchange 33 (2008), 495-496.
145. "Injectivity of the Dubins-Freedman construction of random distributions," (with P. Allaart), Contemp. Math. 485 (2009),  1-6
146. "Homeomorphic Bernoulli measures and ergodic theory," (with A. Yingst),  Contemp. Math., 485 (2009), 131-142. 
147. ."Random closed sets viewed as random recursions," (with A. McLinden), Arch. Math. Logic 48 (2009), 257-263.
148. "Graph directed Markov systems on Hilbert spaces," (with T. Szarek and  M. Urbanski),  Math. Proc. Cambridge Phil. Soc. 147 (2009), 455-488.
149. "Divergent Square Averages," (with Z. Buczolich),  Ann. Math., 171 (2010), 1479-1530.
150. "Translating the Cantor set by a random real,"(with R. Dougherty, J. H. Lutz and J. Teutsch), 152, (2014),
     
151. "On the Steinhaus tiling problem in three dimensions," (with D. Goldstein), Quarterly J. Math., to appear.
152. "The motif problem," (with E. R. Canfield, R. Fertig, and D. Moews), preprint
153. "Some problems and ideas of Erdos in analysis and geometry,"  Erdos Centennial Bolyai Society Mathematical Studies, Vol. 25, Springer, 2013.
154. "Bijective proofs of Jensen's and Mohanty-Handa's identities," (with N. A. Loehr), Applicable Analysis and Discrete Mathematics, 7 (2013), 11-24.   

 155.      "CH, V=L, Disintegrations of measures and Pi_1^1 sets," (with K. Backs and S. Jackson), preprint