1. Abramson M, Moser W. More Birthday Surprises. American Math Monthly. 1970;77:856–858.

2. Anderson D. Red Tides. Scientific American August 1994.

3. Anderson R, May R. Infectious Diseases of Humans. Oxford: Oxford University Press; 1992.

4. Aumann R, Maschler M. Game Theoretic Analysis of a Bankruptcy Problem in the Talmud. J Economic Theory. 1985;36:195–213.

5. Bak P. How Nature Works. Springer-Verlag 1996; A passionate argument for power laws and self-organized criticality.

6. Balinski M. What Is Just? American Math Monthly. 2005;112:502–511.

7. Balinski M, Young P. Fair Representation. Yale: University Press; 1982.

8. Bar-Hillel M, Wagenaar W. The Perception of Randomness. Advances in Applied Math. 1991;13:428–454.

9. Bartholomew D. Note on the Use of Sherman’s Statistic as a Test for Randomness. Biometrika. 1954;41:556–558.

10. Bauer W, Crick F, White J. Supercoiled DNA. Scientific American July 1980.

11. Beltrami E. Unusual Algal Blooms as Excitable Systems: The Case of the Brown Tide. Envir Modeling Assessment. 1996;1:19–24.

12. Beltrami E, Jesty J. The Role of Membrane Patch Size in Regulating a Proteolytic Feedback Threshold. Math Biosciences. 2001;172:1–13.

13. Beltrami E, Jesty J. Mathematical Analysis of Activation Thresholds in Enzyme-Catalyzed Positive Feedbacks: Application to the Feedbacks of Blood Coagulation. Proc Nat Acad Sciences. 1995;92:8744–8748.

14. Beltrami E, Mendelsohn J. More Thoughts Regarding DiMaggio’s 1941 Streak. Baseball Research Journal. 2010;39:31–34.

15. Beltrami E, Bodin L. Networks and Vehicle Routing for Municipal Waste Collection. Networks. 1974;4:65–94.

16. Beretta E, Kuang Y. Modeling and Analysis of a Marine Bacteriophage Infection. Math Biosciences. 1998;149:57–76.

17. Berger J, Sellke T. Testing a Point Hypothesis: The Irreconcilability of p-Values and Evidence. J Am Stat Assoc. 1987;82:112–122.

18. Berger J, Berry D. Statistical Analysis and the Illusion of Objectivity. American Scientist. 1988;76:159–165 The case for Bayesian thinking. A layman’s account of the preceding technical article.

19. Berresford G. Runs in Coin Tossing: Randomness Revealed. College Mathematics Journal. 2002;33:391–394.

20. Birnbaum P. Can Estimates of Wheat Production Improve Our Evaluation of Baseball Talent? Sabermetric Research Oct. 31, 2010.

21. Bloom D. Singles in a Sequence of Coin Tosses. College Mathematics Journal. 1998;29:120–127.

22. Blumstein A, Larson R. Problems in Modeling and Measuring Recidivism. J Research in Crime and Delinquency. 1971;8:124–132.

23. Bodin L. Towards a General Model for Manpower Scheduling, Parts 1 and 2. J Urban Analysis. 1973;1:191–208 223–246.

24. Browne M. Many Small Events May Add Up to One Mass Extinction. New York Times September 2, 1997; Just as it says.

25. Buchanan M. The Social Atom: Why the Rich Get Richer. Bloomsbury 2007.

26. Buchanan M. Ubiquity Crown. 2001; This book, like the previous reference, is a well-written account of power laws for the layperson.

27. Burke P. The Output of a Queuing System. Operations Research. 1958;4:669–704.

28. Carey B. Journal Paper on ESP Expected to Prompt Outrage. New York Times Jan. 6, 2011.

29. Carey B. You might already know this…. New York Times Jan. 10, 2011.

30. Cavett D. Seriously, What Are the Odds? New York Times May 8, 2009; “Strange, Dear, But True, Dear, ” New York Times, Sept. 11, 2009, and “Dear Fellow Impossible,” New York Times, Sept. 10, 2010. An assortment of entertaining articles by an engaging personality.

31. Chaiken J. The Number of Emergency Units Busy at Alarms Which Require Multiple Servers. Rand Report R-531-NYC/HUD 1971.

32. Chase I. Vacancy Chains. Annual Review of Sociology. 1991;17.

33. Chase I. Life Is a Shellgame. Scientific American June 2012;76–79.

34. Cipra B. Mathematics Untwists the Double Helix. Science. 1990;247:913–915.

35. Clark C. Restricted Access to Common Property Fishery Resources: A Game-Theoretic Analysis. In: Dynamic Optimization and Mathematical Economics. Plenum Press 1980;117–132.

36. Clark C. Mathematical Bioeconomics. John Wiley 1976.

37. Cohen J, Stewart I. It’s Amazing, Isn’t It? New Scientist Jan. 17, 1998.

38. Courant R, John F. Introduction to Calculus and Analysis, vol 2. John Wiley 1974.

39. Crutchfield J, Farmer J, Packard N, Shaw R. Chaos. Scientific American December, 1986.

40. Diaconis P, Mosteller F. Methods for Studying Coincidences. American Statistical Assoc. 1989;84:853–861 Provocative and informative.

41. Economu A, et al. Periodic Stripe Formation by a Turing Mechanism Operating at Growth Zones in the Mammalian Palate. Nature Genetics. Feb. 19, 2012;44:348–351.

42. Efron B, Morris C. Data Analysis Using Stein’s Estimator. J Am Stat Assoc. 1975;70:311–319.

43. Efron B, Morris C. Stein’s Paradox. Scientific American. 1977;236:119–127 A layperson’s account of the preceding, more technical paper.

44. Enriques D. Madoff Scheme Keeps Rippling Outward Across Border. New York Times Dec. 19, 2008.

45. Epple M. Orbits of Asteroids, a Braid, and the First Link Invariant. Math Intelligencer. 1998;20:45–52.

46. Falk R, Konold C. Making Sense of Randomness. Psychological Review. 1997;104:301–318.

47. Falk R. Judgment of Coincidences: Mine Versus Yours. American Journal of Psychology. 1989;102:477–493.

48. Feller W. An Introduction to Probability Theory, Volume One. 2nd ed. New York: John Wiley & Sons; 1957.

49. Fountain H. Study Finds Shark Overfishing May Lower Scallop Population. New York Times March 31, 2007.

50. Freiman M. 56-Game Hitting Streak Revisited. Baseball Research Journal. 2003;31:11–15.

51. Gawande A. The Cancer-Cluster Myth. The New Yorker February 8, 1999.

52. Gigerenzer G. Calculated Risks. Simon & Schuster 2002; An unusual approach to computing conditional probabilities. Highly recommended.

53. Gilpin M. Spiral Chaos in a Predator–Prey Model. Am Naturalist. 1979;113:306–308.

54. Good IJ. Turing’s Statistical Work in World War II. Biometrika. 1979;66:393–396.

55. Good IJ. When Batterer Turns Murderer. Nature. 1995;375:541 Nature 1996;381:481.

56. Gould SJ. Unenchanted Evening. In: Eight Little Piggies. Norton 1993.

57. Gould SJ. The Streak of Streaks. In: Bully For Brontosaurus, Norton. 1991.

58. Grady D. Broader, and More Expensive, Test Needed to Spot Colon Cancers, Studies Say. New York Times July 20, 2000.

59. Hanley J. Jumping to Coincidences. The American Statistician. 1992;46:197–202.

60. Hardin G. The Tragedy of the Commons. Science. 1968;162:1243–1248.

61. Hill T. The Difficulty in Faking Data. Chance. 1999;12:27–31.

62. Hirsch M, Smale S, Devaney R. Differential Equations, Dynamical Systems, and an Introduction to Chaos. 3rd ed. Elsevier 2013.

63. Hofer T, Maini P. Streaming Instability of Slime Mold Amoeba: An Analytical Model. Physical Review E. 1997;56:2074–2080.

64. Hopkins B, Wilson R. The Truth About Königsberg. College Math J. 2004;35:198–207.

65. Hulbert M. Are Fund Managers Irrelevant? New York Times Oct. 10, 1999.

66. Jeffrey A. Advanced Engineering Mathematics. Academic Press 2001.

67. Johnson G. Of Mice and Elephants: A Matter of Scale. New York Times Jan. 12, 1999; A very readable account of scaling in biology.

68. Julious S, Mullee M. Confounding and Simpson’s Paradox. British Medical Journal. 1994;309:1480–1481.

69. Kahneman D, Tversky A. Subjective Probability: A Judgment of Representativeness. Cognitive Psychology. 1972;3:430–454.

70. Keller E, Segal L. Initiation of Slime Mold Aggregation Viewed as an Instability. J Theor Biology. 1970;26:399–414.

71. Kemeny J, Snell L. Finite Markov Chains D Van Nostrand. 1960.

72. Kocik J. Proof Without Words: Simpson’s Paradox. Mathematics Magazine. 2001;74:209.

73. Kolesar P, Blum E. Square Root Laws for Fire Engine Response Distances. Management Science. 1973;19:1368–1378.

74. Luria S, Delbrück M. Mutations of Bacteria from Virus Sensitivity to Virus Resistance. Genetics. 1943;28:491–511.

75. Loud W. Some Examples of Bifurcation Lecture Notes in Mathematics 1057. Springer-Verlag 1984.

76. Mandelbrot B, Hudson R. The (Mis)Behavior of Markets: A Fractal View of Risk, Ruin, and Reward. Basic Books 2004.

77. Mandelbrot B, Taleb N. How The Financial Gurus Get Risk All Wrong. Fortune July 11, 2005; This is a very quick summary of the main point of the previous paper.

78. Matthews R. Facts Versus Factions. Unpublished Internet document 2004; Provocative.

79. Matthews R. The Great Health Hoax. Sunday Telegraph (UK), Sept. 1998;13 A brief summary of the previous article.

80. McGrayne SB. The Theory That Would Not Die. Yale: University Press; 2011.

81. Mechling J. A Successful Innovation: Manpower Scheduling. J Urban Analysis. 1974;2:259–313.

82. Merz J, Caulkin J. Propensity to Abuse—Propensity to Murder? Chance Magazine. 1995;8:14.

83. Milligan K, Cosper E. Isolation of Virus Capable of Lysing the Brown Tide Microalga, Aureococcus anophagefferens. Science. 1994;266:805–807.

84. Mlodinow L. The Drunkard’s Walk. Pantheon Books 2008; Excellent popularization of the puzzles and paradoxes of probability.

85. Montroll E, Shlesinger M. On 1/f Noise Distributions with Long Tails. Proc Nat Acad Sci. 1982;79:3380–3383 Good article about power laws and log-normal distributions.

86. Morton D. Game Theory. Dover 1970.

87. Murray J. Mathematical Biology. Springer-Verlag 1989.

88. Murray J. A Pre-pattern Formation Mechanism for Animal Coat Markings. J Theor Biology. 1981;88:161–199.

89. Nagasaki K, Ando M, Itakura S, Ishida Y. Viral Mortality in the Final Stage of Heterosigma akashiwo Red Tide. J Plankton Research. 1994;16:1595–1599.

90. Newman MEJ. Power Laws, Pareto Distributions and Zipf’s Law. Contemporary Physics. 2005;46:323–351 Excellent survey and an important source for my own notes.

91. Nocera J. Suspense Is Over in Madoff Case. New York Times June 25, 2012.

92. O’Neill B. A Problem of Rights Arbitration from the Talmud. Mathematical Social Sci. 1982;2:345–371.

93. Okubo A. Diffusion and Ecological Problems. Springer-Verlag 1980.

94. Okubo A, Maini P, Williamson M, Murray J. On the Spatial Spread of the Gray Squirrel in Britain. Proc Royal Soc London B. 1989;238:113–125.

95. Olsen L, Schaeffer W. Chaos Versus Noisy Periodicity: Alternative Hypothesis for Childhood Epidemics. Science. 1990;249:499–504.

96. Pennington B. Ted William’s .406 Is More Than a Number. New York Times, Sept. 2011;17.

97. Pool R. Is It Chaos or Is It Just Noise? Science. 1989;243:25–28.

98. Reed W, Hughes B. Why Power Laws Are Common in Nature. Phys Rev. 2002;E66:067133.

99. Ross S. A First Course in Probability. 8th ed. Prentice Hall 2010.

100. Ross S. Introduction to Probability Models. 3rd ed. Academic Press 1985.

101. Rotjan R, Chabot J, Lewis S. Social Context of Shell Acquisition in Coenobita clypeatus Hermit Crabs. Behavioral Ecology. 2010;1:639–646.

102. Schilling M. The Longest Run of Heads. The College Math J. 1990;21:196–207.

103. Seidel M. Streak. McGraw-Hill 1988; About DiMaggio’s summer of ’41.

104. Silver N. A Bayesian Take on Julian Assange. New York Times Dec. 15, 2010.

105. Slobodkin L, Kierstead H. The Size of Water Masses Containing Plankton Blooms. J Marine Research. 1953;12:141–157.

106. Strogatz S. Chances Are. New York Times April 25, 2010.

107. Taleb N. The Black Swan. Random House 2007; A best-seller. Opinionated but interesting apologia for power laws and a refutation of the normal law.

108. Thurner S, Farmer JD, Gianakopulos J. Leverage Causes Fat Tails and Clustered Volatility. Cowles Foundation Paper. Jan. 2010;1745.

109. Tijms H. Understanding Probability. Cambridge University Press 2007; Good reference, with lots of interesting examples.

110. Tucker A. Perfect Graphs and an Application to Optimizing Municipal Services. SIAM Review. 1973;15:585–590.

111. Tuna C. When Combined Data Reveal the Flaw of Averages. Wall Street Journal Dec. 2, 2009.

112. Turing MA. The Chemical Basis of Morphogenesis. Phil Trans Royal Society B. 1952;237:37–72.

113. Wainer H. The Most Dangerous Equation. American Scientist. 2003;95:249–257.

114. Walker W, Chaiken J, Ignall E, eds. Fire Department Deployment Analysis. North Holland 1979; Comprehensive and authoritative overview of the Rand Corporation’s foray into solving the fire department problems of New York City.

115. Weissburg M, Rosemann L, Chase I. Chains of Opportunity: A Markov Model for the Acquisition of Reusable Resources. Evolutionary Ecology. 1991;5:105–117.

116. West B, Shlesinger M. The Noise in Natural Phenomena. American Scientist January–February, 1990.

117. White H. Chains of Opportunity: Systems Models of Mobility in Organizations. Harvard University Press 1970.

118. White J. Self-linking and the Gauss Integral in Higher Dimensions. Amer J Math. 1969;91:693–728.

119. White J, Bauer W. Calculation of the Twist and the Writhe for Representative Models of DNA. J Molecular Biology. 1986;189:329–341.

120. Zhang Q. The Luria-Delbrück Distribution. Chance. 2010;23:15–18.

121. Zimmer C. Can Answers to Evolution Be Found in Slime? New York Times Oct. 3, 2011.