By Dauxois J.-Y., Druihlet P., Pommeret D.

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J. Aust. Math. , 13:1–6, 1972. 6 1 Algebra 1 Algebra 7 8 1 Algebra 1 Algebra 9 10 1 Algebra 1 Algebra 11 12 1 Algebra 1 Algebra 13 14 1 Algebra 1 Algebra 15 16 1 Algebra 1 Algebra 17 18 1 Algebra 1 Algebra 19 20 1 Algebra 1 Algebra 21 22 1 Algebra 1 Algebra 23 24 1 Algebra 1 Algebra 25 26 1 Algebra 1 Algebra 27 28 1 Algebra 1 Algebra 29 30 1 Algebra 1 Algebra 31 32 1 Algebra 1 Algebra 33 34 1 Algebra 1 Algebra 35 36 1 Algebra 1 Algebra 37 38 1 Algebra Chapter 2 Probability Elja Arjas Writing a brief commentary on three of Terry Speed’s papers in probability brings to mind many memories from a time now almost forty years away.

This paper on Wiener-Hopf factorizations was inspired, in particular, by the ideas on Random Walks in R1 that were contained in Chapter XII of Feller’s Volume 2, with that same title. ” The key to such elementary understanding offered by Feller is the concept of ‘ladder point’, a pair of random variables consisting of a ‘ladder epoch’ and ‘ladder height’. Consecutive ascending (descending) ladder points make up the sequence of new maximal (minimal) record values of the random walk. The sample path of the random walk arising from its first n steps can now be divided into random excursions, each ending with a new maximal (minimal) record value, and finally including an incomplete excursion from such a record value to where the random walk is after n steps.

W. Evans. A note on commutative Baer rings. J. Aust. Math. , 13:1–6, 1972. 6 1 Algebra 1 Algebra 7 8 1 Algebra 1 Algebra 9 10 1 Algebra 1 Algebra 11 12 1 Algebra 1 Algebra 13 14 1 Algebra 1 Algebra 15 16 1 Algebra 1 Algebra 17 18 1 Algebra 1 Algebra 19 20 1 Algebra 1 Algebra 21 22 1 Algebra 1 Algebra 23 24 1 Algebra 1 Algebra 25 26 1 Algebra 1 Algebra 27 28 1 Algebra 1 Algebra 29 30 1 Algebra 1 Algebra 31 32 1 Algebra 1 Algebra 33 34 1 Algebra 1 Algebra 35 36 1 Algebra 1 Algebra 37 38 1 Algebra Chapter 2 Probability Elja Arjas Writing a brief commentary on three of Terry Speed’s papers in probability brings to mind many memories from a time now almost forty years away.