We analyze a family of queueing systems where the interarrival time I n+1 between customers n and n + 1 depends on the service time B n of customer n. Speciically, we consider cases where the dependency between I n+1 and B n is a proportionality relation, and B n is an exponentially distributed random variable. Such dependencies arise in the context of packet-switched networks which use rate po...

FOREWORD SEVERAL YEARS AGO, Karl Narr asked me to write an article summarizing the recently discovered data of Southeast Asian prehistory for publication in German in Saeculum. In the fall of 1977, I finally did this in the context of an examination of a number of Heine-Ge1dern's hypotheses on Southeast Asian prehistory. I titled the paper "New data on late Southeast Asian prehistory and their ...

The authors nd necessary and suucient conditions for GDT weighted Marcinkiewicz inequalities based at Stieltjes zeros.

THEOREM 4. If Q is a Lie algebra of type All then n > 2 and $ SJ' where J is an i.a.a. of second kind in a simple algebra [. Thus a complete classification of Lie algebras of type A,, depends on the classification of simple associative algebras of second kind and of i.a.a.'s relative to cogredience in these algebras. It can be shown that the latter problem is essentially one of ordinary cogredi...

A generalisation of the Stieltjes relations for the Painlevé-IV transcendents and their higher analogues determined by the dressing chains is proposed. It is proven that if a rational function from a certain class satisfies these relations it must be a solution of some higher Painlevé-IV equation. The approach is based on the interpretation of the Stieltjes relations as local trivial monodromy ...