Renewal theory plays an important role in probability theory. More
recently, operator renewal theory has played an analogous role in
ergodic theory of maps that preserve a finite measure or an
infinite measure.
In this talk we present an operator renewal equation for flows and
demonstrate its utility in the infinite measure case. (It should be
equally fruitful in the finite measure case, but that is work in
progress.) This is joint work with Dalia Terhesiu.
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