We investigate the boundedness of positive solutions of the reciprocal max-type difference equation xn = max { An−1 xn−1 , An−1 xn−2 , . . . , An−1 xn−t } , n = 1, 2, . . . , where, for each value of i, the sequence {An}n=0 of positive numbers is periodic with period pi. We give both sufficient conditions on the pi’s for the boundedness of all solutions and sufficient conditions for all solutio...

We discuss the monoidal structure on Franke’s algebraic model for the K(p) -local stable homotopy category at odd primes and show that its Picard group is isomorphic to the integers. MSC: 55P42; 55P60; 55U35

DOI: http://dx.doi.org/10.1090/noti1247 received both the Steele Prize for Seminal Contributions to Research (from the AMS, 1998) and the Deborah and Franklin Tepper Haimo Award for Distinguished Teaching (from the MAA, 1996). During his long tenure at Penn he advised twenty-six PhD students and won additional awards, including the Christian and Mary Lindback Award for excellence in undergradua...

Unmedullated nerve fibers physiologically carrying signals in the afferent direction became of interest as a group apart, when it was learned that those in the skin nerves, having their origin in cells of the dorsal root ganglia (d.r.C), possess properties different from those with cells of origin in the sympathetic ganglia (s.C). I t has long been known that the fibers of the olfactory nerve a...

Let P be a finite set of primes, and let S be a finite sequence of positive integers. This paper presents an algorithm to find the largest P smooth divisor of each integer in S. The algorithm takes time b(lg b)2+o(1), where b is the total number of bits in P and S. A previous algorithm by the author takes time b(lg b)3+o(1) to find all the factors from P of each integer in S; a variant by Frank...

Previous studies have revealed surprising and persistent cross-cultural variations in overconfidence, whereby respondents in some Asian cultures (e.g., Chinese) exhibit markedly higher degrees of overconfidence than respondents in other cultures (e.g., in the United States and Japan). Most of those demonstrations have entailed general knowledge tasks (e.g., answering We are especially grateful ...

John Herbert

Baird, T. D., J. McCabe, E. Woodhouse, I. Rumas, S. Sankeni, and G. O. Saitoti. 2021. Mobile phones wrong numbers: how Maasai agro-pastoralists form use accidental social ties in East Africa. Ecology Society 26(2):41. https://doi.org/10.5751/ES-12528-260241