Outputs (2)

Primes generated by recurrence sequences (2007)
Journal Article
Everest, G., Stevens, S., Tamsett, D., & Ward, T. (2007). Primes generated by recurrence sequences. The American Mathematical Monthly, 114(5), 417-431

Orbit-counting in non-hyperbolic dynamical systems (2007)
Journal Article
Everest, G., Miles, R., Stevens, S., & Ward, T. (2007). Orbit-counting in non-hyperbolic dynamical systems. Journal für die reine und angewandte Mathematik, 2007(608), 155-182. https://doi.org/10.1515/crelle.2007.056

There are well-known analogs of the prime number theorem and Mertens' theorem for dynamical systems with hyperbolic behaviour. Here we consider the same question for the simplest non-hyperbolic algebraic systems. The asymptotic behaviour of the orbit... Read More about Orbit-counting in non-hyperbolic dynamical systems.