Publications

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books

Almost Everywhere Convergence Measure, Topology, and Fractal Geometry Stopping Times and Directed Processes Classics on Fractals Integral, Pobability, and Fractal Measures
MR 90i:28002 MR 92a:54001 MR 94a:60064 MR 2005f:28002 MR 99c:28024

papers

58. Centered densities and fractal measures.   New York J. Math. 13 (2007) 33-87    
Preprint Errata
57. Separation properties for graph-directed self-similar fractals.   Topology Appl. 152 (2005) 138-156 [with Manav Das]    MR 2006c:28007
Preprint
56. Borel subrings of the reals.   Proc. Amer. Math. Soc. 131 (2003) 1121-1129 [with Chris Miller]    MR 2004d:28017
Full Text Errata
55. Hausdorff dimension, analytic sets and transcendence.   Real Analysis Exchange 27 (2002) 335-339 [with Chris Miller]    MR 2002k:28001
Preprint
54. Packing measure in general metric space.   Real Analysis Exchange 26 (2001) 831-852.    MR 2002e:28011
Errata Preprint
53. The forest fractal puzzle.   Computers & Graphics 24 (2000) 133--141
Preprint
52. A fractal dimension estimate for a graph-directed iterated function system of non-similarities.   Indiana Univ. Math. J. 48 (1999) 429--448 [with Jeffrey Golds]    MR 2001b:28012
Full Text Errata
51. Carathéodory's outer measures: 80 years.   Real Analysis Exchange 20 (1995) 14--17
Errata
50. Fine variation and fractal measures.   Real Analysis Exchange 20 (1995) 256--280.    MR 96a:28012
Comment Errata Preprint Graphics
49. Packing measure as a gauge variation.   Proc. Amer. Math. Soc. 122 (1994) 167--174.    MR 94k:28009
Errata Preprint
48. Multifractal decompositions of digraph recursive fractals.   Proc. London Math. Soc. 65 (1992) 604--628. [with R. D. Mauldin]     MR 93h:28010
Errata Preprint
47. Fractal dimension of self-affine sets: some examples.   In: Measure Theory 1990, D. Kölzow (editor).   Suppl. ai Rendiconti del Circolo Matematico di Palermo, Ser. II, no. 28, 1992. pp. 341--358.     MR 94a:28019
Graphics
46. Calculating the Hausdorff dimension of tree structures.    J. Statist. Physics 64 (1991) 77--85. [with L. M. Rellick and M. H. Klapper]    MR 92c:82056
45. A fractal puzzle.   The Mathematical Intelligencer 13 (1991) No.3, 44--50.    MR 92j:58062
Comment
44. A note on weak inequalities in Orlicz and Lorentz spaces.   In: Approximation Theory and Functional Analysis, C. K. Chui (editor), Academic Press, 1991. pp. 73--80. [with L. Sucheston]
43. Banach spaces with the analytic Radon-Nikodym property and compact abelian groups.   In:  Almost Everywhere Convergence, G. A. Edgar and L. Sucheston (editors), Academic Press, 1989. pp. 195--213.    MR 91b:46020
42. On maximal inequalities in Orlicz space.    In: Measure and Measurable Dynamics, R. D. Mauldin, R. M. Shortt, C. E. Silva (editors), Contemporary Mathematics 94, American Mathematical Society, 1989. pp. 113--129. [with L. Sucheston]    MR 90k:46058
Errata
41. Kiesswetter's fractal has Hausdorff dimension 3/2.    Real Analysis Exchange 41 (1989) 215--223.    MR 90j:28003
Comment Errata
40. Some characterizations of the analytic Radon-Nikodym property in Banach spaces.   J. Functional Anal. 80 (1988) 349--357. [with P. N. Dowling]    MR 89m:46027
39. Pi: difficult or easy?   Math. Mag. 60 (1987) 141--150.     MR 89f:11170
Comments Errata
38. Analytic martingale convergence.   J. Functional Anal. 69 (1986) 268--280.    MR 88f:46046
Errata
37. Complex martingale convergence.   In: Banach Spaces, N. Kalton and E. Saab (editors), Lecture Notes in Mathematics 1166, Springer-Verlag, 1985. pp. 38--59.    MR 88a:46013
Preprint
36. Realcompactness and measure-compactness of the unit ball in a Banach space.   In: Measure Theory, Oberwolfach 1983, D. Kölzow and D. Maharam-Stone (editors), Lecture Notes in Mathematics 1089, Springer-Verlag, 1984. pp. 232--240.    MR 86i:46016
Preprint
35. The ordering structure on Banach spaces.   Pacific J. Math. 116 (1985) 225--263. [with J. Zhao]    MR 86g:46020
34. Topological properties of Banach spaces.   Pacific J. Math. 115 (1985) 317--350. [with R. F. Wheeler]    MR 86e:46013
Comments Errata
33. Two integral representations.   In: Measure Theory and Its Applications, J. Belley, J. Dubois, P. Morales (editors), Lecture Notes in Mathematics 1033, Springer-Verlag, 1983. pp. 193--198.    MR 85g:30034
Preprint
32. An ordering for the Banach spaces.   Pacific J. Math. 108 (1983) 83--98.    MR 84k:46012
Comments Errata
31. On pointwise-compact sets of measurable functions.   In: Measure Theory, Oberwolfach 1981, D. Kölzow and D. Maharam-Stone (editors), Lecture Notes in Mathematics 945, Springer-Verlag, 1982. pp. 24--28.    MR 84a:28005
Preprint
30. On compactness and optimality of stopping times.   In:  Martingale Theory in Harmonic Analysis and Banach Spaces, J.-A. Chao and W. A. Woyczynski (editors), Lecture Notes in Mathematics 939, Springer-Verlag, 1982. pp. 36--61. [with A. Millet and L. Sucheston]    MR 83m:60064
Preprint
29. Additive amarts.    Ann. Probab. 10 (1982) 199--206.    MR 83a:60081
Errata Comments
28. Characterization of probability distributions based on a generalized Rao-Rubin condition.   Sankhya Ser. A 42 (1980) 161--169. [with C. R. Rao, R. C. Srivastava, S. Talwalker]   MR 83d:62032
Errata
27. Démonstrations de lois des grands nombres par les sous-martingales descendantes.    C. R. Acad. Sci. Paris (Série I) 292 (1981) 967--969. [with L. Sucheston]    MR 82i:60087
26. Asplund operators and a. e. convergence.   J. Multivariate Anal. 10 (1980) 460--466.    MR 82f:47053
Errata
25. A long James space.   In: Measure Theory, Oberwolfach 1979, D. Kölzow (editor), Lecture Notes in Mathematics 749, Springer-Verlag, 1980. pp. 31--37.    MR 81k:46018
Errata Comments Preprint
24. Liftings of functions with values in a completely regular space.   Proc. Amer. Math. Soc. 78 (1980) 345--349. [with M. Talagrand]    MR 81g:46057
Comments
23. Uniform semiamarts.   Ann. Inst. H. Poincaré Sect. B (N.S.) 15 (1979) 197--203.    MR 81e:60055
22. Difference equations over locally compact abelian groups.   Trans. Amer. Math. Soc. 253 (1979) 273--289. [with J. M. Rosenblatt]    MR 80i:39001
21. Measurability in a Banach space, II.   Indiana Univ. Math. J. 28 (1979) 559--579.    MR 81d:28016
Errata Comments
20. Three cryptoisomorphism theorems.   In: Studies in Foundations and Combinatorics, G.-C. Rota (editor), Advances in Mathematics Supplementary Studies 1, Academic Press, 1978. pp. 49--60.   MR 80c:54001
Errata
19. On the Radon-Nikodym property and martingale convergence.   In:  Vector Space Measures and Applications II, R. M. Aron and S. Dineen (editors), Lecture Notes in Mathematics 645, Springer-Verlag, 1978. pp. 62--76.    MR 80e:28012
Comments Errata Preprint
18. Martingales in the limit and amarts.   Proc. Amer. Math. Soc. 67 (1977) 315--320. [with L. Sucheston]    MR 58#7832
Comments
17. On vector-valued amarts and dimension of Banach spaces.   Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 39 (1977) 213--216. [with L. Sucheston]    MR 56#6843
16. Measurability in a Banach space.   Indiana Univ. Math. J. 26 (1977) 663--677.    MR 58#7081
Errata Comments
15. Amarts: a class of asymptotic martingales, B. Continuous parameter.   J. Multivariate Anal. 6 (1976) 572--591. [with L. Sucheston]    MR 55#4370
Errata
14. Measurable weak sections.   Illinois J. Math. 20 (1976) 630--646.    MR 54#7734
Errata Comments
13. Noncompact simplexes in Banach spaces with the Radon-Nikodym property.   J. Functional Anal. 23 (1976) 162--176. [with R. D. Bourgin]    MR 55#8754
Errata
12. Extremal integral representations.   J. Functional Anal. 23 (1976) 145--161.    MR 55#8753
Errata Comments
11. The Riesz decomposition for vector-valued amarts.   Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 36 (1976) 85--92. [with L. Sucheston]    MR 54#1369
Errata
10. Amarts: a class of asymptotic martingales, A. Discrete parameter.    J. Multivariate Anal. 6 (1976) 193--221. [with L. Sucheston]    MR 54#1368
Errata Comments
9. A cartesian closed category for topology.   General Topology and Appl. 6 (1976) 65--72.    MR 53#3972
8. Disintegration of measures and the vector-valued Radon-Nikodym theorem.   Duke Math. J. 42 (1975) 447--450.    MR 54#507
Errata Comments
7. A noncompact Choquet theorem.   Proc. Amer. Math. Soc. 49 (1975) 354--358.    MR 51#8793
6. A completely divisible algebra.   Algebra Universalis 4 (1974) 190--191.    MR 50#2023
5. Pointwise convergence in terms of expectations.   Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 30 (1974) 17--26. [with D. G. Austin and A. Ionescu Tulcea]    MR 50#11402
Errata
4. The class of topological spaces is equationally definable.    Algebra Universalis 3 (1973) 139--146.    MR 51#3026
Errata
3. Two function-space topologies.   Proc. Amer. Math. Soc. 39 (1973) 219--220.    MR 47#2325
2. Perfect  n-sequences for  n, n+1, and  n+2.   Fibonacci Quart. 10 (1972) 377--380.    MR 46#7152
Errata
1. Weighing operator spectra.   Indiana Univ. Math. J. 21 (1971) 61--80. [with J. Ernest and S.-G. Lee]    MR 54#5884
Errata

reviews

Intégration by N. Bourbaki.    Math. Intelligencer 3 (1981) 82--84.
Errata
Amarts and Set Function Processes by A. Gut and K. D. Schmidt.    Metrika 32 (1985) 48.
Stopping Time Techniques for Analysts and Probabilists by L. Egghe.    Bull. London Math. Soc. 17 (1985) 412--414.
Three IFS programs for Macintosh.    Amygdala #24 (June 29, 1991) pp. 3--8.
Errata Preprint
Techniques in Fractal Geometry by Kenneth Falconer.    Bull. London Math. Soc. 31 (1999) 119--120.

columns

Problems.  Mathematics Magazine.
Associate Editor: 1982 to 1985.
 
Problems and Solutions.  American Mathematical Monthly.
Collaborating Editor: 1992 to 1997.
Editor [with Daniel H. Ullman and Douglas B. West]: 1997 to 2001.
Editor [with Douglas Hensley and Douglas B. West]: 2001 to 2005.

problems and solutions

American Mathematical Monthly
solution E2229 Amer. Math. Monthly 78 (1971) 299--300  
Generalization of least common multiple of several integers    
solution 5861Amer. Math. Monthly 82 (1975) 767--768  
Increasing polynomials on an ordered field
solution E2768Amer. Math. Monthly 87 (1980) 406--407  
Decomposing an interval into homeomorphic subsets
proposal 6393Amer. Math. Monthly 91 (1984) 61--62  
On harmonic functions
solution 6435Amer. Math. Monthly 94 (1987) 695--696  
A set is somewhere thicker or thinner than its complement
solution 6440Amer. Math. Monthly 92 (1985) 433-434  
On equal integrals
solution E3264Amer. Math. Monthly 97 (1990) 157--159  
Asymptotic estimates for convergents of a continued fraction
proposal and
solution 6567		Amer. Math. Monthly 97 (1990) 165--166 (with Lee Rubel)
The harmonic conjugate of an algebraic function
solution 11102Amer. Math. Monthly 113 (2006) 572-573 (as Peter Ørno)
A continued fraction related to π
Journal of Recreational Mathematics
solution 233J. Rec. Math. 7 (1974) 152--153 * Formula
A continued fraction
Mathematics Magazine
solution 1003Math. Mag. 51 (1978) 247--248  
Reflections
proposal 1030Math. Mag. 51 (1978) 69  
Three solutions
proposal and
solution 1062		Math. Mag. 53 (1980) 117 ? Open Question
Ellipse and convex hexagon
proposal 1072Math. Mag. 52 (1979) 179 (as Peter Ørno)
A tailored polynomial
proposal 1214Math. Mag. 58 (1985) 111 (with Paul G. Nevai)
A disguised trigonometric limit
proposal 1227Math. Mag. 58 (1985) 298  
Uniform convergence of series
solution 1310Math. Mag. 62 (1989) 346--348  
A series of lcm powers
proposal 1474Math. Mag. 69 (1995) 225--226  
A minimal angle of a constrained triangle
proposal and
solution 1586		Math. Mag. 72 (2000) 407--408  
A comparison of two integrals
Fibonacci Quarterly
solution B-103Fib. Quart. 5 (1967) 290--291  
An increasing sequence
proposal B-112Fib. Quart. 5 (1967) 90--91  
Generalizations of Fn Ln = F2n-1 + F2n+1
solution H-136Fib. Quart. 7 (1969) 519--522  
Squeeze play

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