Wang Liang, Huang Yan
Published 2006-01-21Version 1
A dynamic sieve method is designed according to the basic sieve method. It mainly refers to the symbolic dynamics theory. By this method, we could connect the prime system with familiar 'Logistic Mapping'. An interesting discovery is that the pattern of primes could be depicted by a series of orbits of this mapping. Some heuristic proofs for open problems like twin primes are obtained through this relation. This research gives a new viewpoint for the distribution of prime numbers.
Comments: 8 pages,3 figures
Cotlar's ergodic theorem along the prime numbers
Endpoint estimates for the maximal function over prime numbers
Multiple recurence and convergence for sequences related to the prime numbers
![QR code for arXiv:math/0601517 [math.DS]](http://oss.arxitics.com/images/favicon.svg)