| The Visitors to Zero of Some Deterministic Random Walks (2006) | |||||||||||||
Abstract | |||||||||||||
| We study the asymptotic behaviour of the functions $${\Psi }_{n}\left(x\right)=\left\{1\le k\le n:{\phi }_{k}\left(x\right)=0\right\}$$ where $${\varphi }_{n}\left(x\right)={\sum }_{k=0}^{n-1}\phi \left(x+k\alpha \mathrm{mod}1\right).$$ and $${\phi }_{n}\left(x\right)={\sum }_{k=0}^{n-1}\phi \left(x+k\alpha \mathrm{mod}1\right)$$ | |||||||||||||
Publication details | |||||||||||||
| |||||||||||||