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math.DS1999
Exponents and Almost Periodic Orbits
Alex Clark
We introduce the group of exponents of a map of the reals into a metric space and give conditions under which this group embeds in the first Cech cohomology group of the closure of…
math.DS1999
Linear Flows on -Solenoids
Alex Clark
Linear flows on inverse limits of tori are defined and it is shown that two linear flows on an inverse limit of tori are equivalent if and only if there is an automorphism of the i…
math.DS1999
Flows on solenoids are generically not almost periodic
Alex Clark
The space of non-singular flows on any given solenoid is shown to contain a generic subset consisting of flows that are not almost periodic. Whether this result carries over to Ham…