2 papers
math.NT2002
Integer sequences counting periodic points
Graham Everest, Yash Puri, Thomas Ward
An existing dialogue between number theory and dynamical systems is advanced. A combinatorial device gives necessary and sufficient conditions for a sequence of non-negative intege…
math.DS1999
Arithmetic and growth of periodic orbits
Yash Puri, Thomas Ward
We give necessary and sufficient conditions for a sequence to be exactly realizable as the sequence of numbers of periodic points in a dynamical system. Using these conditions, we…