Selected Publications
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Extinction probability for a critical general branching process,
Stochastic Processes and Their Applications 2 (1974), 303-309.
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A generalization of Goldstein's comparison lemma and the exponential limit law
in critical Crump-Mode-Jagers branching processes,
Advances in Applied Probability 8 (1976), 88-104.
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Critical multitype branching processes,
Annals of Probability 10 (1982), 482-495.
MR 84a : 60103
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Prospects for computer use in foreign language education,
The Review of Inquiry and Research, No. 43 (January 1986),
Kansai University of Foreign Studies, 1-16.
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Chaos: The New Science: Nobel Conference XXVI, editor and
author of introduction, University Press of America, Lanham, MD, 1993.
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The probability of n ace-king adjacencies in a shuffled deck,
with Mark Holte,
The Mathematical Gazette, Vol. 77, No. 480 (1993), 368-370.
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A Lucas-type theorem for fibonomial-coefficient residues,
The Fibonacci Quarterly, Vol. 32, No. 1 (1994), 60-68.
MR 94k #11023
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Carries, combinatorics, and an amazing matrix
(ps)
(pdf)
The American Mathematical Monthly, Vol. 104, No. 2 (Feb. 1997), 138-149.
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Asymptotic prime-power divisibility of binomial, generalized binomial,
and multinomial coefficients,
Transactions of the American Mathematical Society,
Vol. 349, No. 10 (Oct. 1997), 3837-3873.
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The probability that a queen sits beside a king:
juxtapositions and runs in a random permutation,
with Mark M. Holte and Kenneth A. Suman,
The UMAP Journal, Vol. 19, No. 4 (Winter 1998), 373-394.
Also in
UMAP Modules 1998: Tools for Teaching, COMAP, 1999,
Module 771, 109-130.
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Residues of generalized binomial coefficients modulo a prime,
The Fibonacci Quarterly, Vol. 38, No. 3 (June-July
2000), 227-238.
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Fractal dimension of the arithmetical structure of generalized binomial
coefficients modulo a prime,
The Fibonacci Quarterly, Vol. 48, No. 1 (Feb 2006), 46-58.
Other Communications
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The probability a shuffled deck has no consecutive cards of equal
rank,
NCS-MAA meeting at Minot, 29 October 1994.
(Problem 124.1 of M500 is solved by Bizley's binomial
inversion formula.)
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When is f(1) + . . . + f(n) asymptotically of the same order as n f(n)?
, NCS-MAA meeting at Carleton College, 17 April 1999:
abstract.
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Fractal dimension of generalized binomial coefficients modulo a prime:
preliminary report,
Abstracts of the AMS, vol. 21, no. 1 (Jan. 2000)
#950-11-950.
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Fractal dimension of generalized multinomial coefficients modulo a
prime: preliminary report,
Abstracts of the AMS (Jan. 2001)
#962-11-890
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Properties of O-regularly varying sequences: elementary proofs
(ps)
(pdf),
International Congress of Mathematicians, Beijing 2002, August 20-28:
Abstracts of Short Communications and Poster Sessions,
Higher Education Press, Beijing, 2002, 393-394
(ps)
(pdf).
Other Items
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A partition identity, Problem #1480,
proposed by Ron Rietz and John Holte,
Mathematics Magazine, Vol. 69, No. 4 (October 1996), 307.
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Book review:
Chaos in the Cosmos: The Stunning Complexity of the Universe
by Barry Parker,
The Prairie Naturalist 28(4) (December 1996), 7-8.
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The Student Activities Zone,
Focus 24:9 (December 2004), 12-13.