A. Leizarowitz

activity

20072009

collaborators

3 papers

math.NT2009

Iterated logarithm approximations to the distribution of the largest prime divisor

Arie Leizarowitz

The paper is concerned with estimating the number of integers smaller than $x$ whose largest prime divisor is smaller than $y$ , denoted $ψ (x, y)$ . Much of the related literature is…

math.NT2008

The asymptotic distribution of the largest prime divisor

Arie Leizarowitz

We consider the Dickman function $Ψ (x, y)$ in the limit when $ln x / ln y \to \infty$ and $ln ln x ln y \to 0$ . The asymptotic value is expressed in terms of the ratio of iterated…

math.PR2007

Exact finite approximations of average-cost countable Markov Decision Processes

Arie Leizarowitz, Adam Shwartz

For a countable-state Markov decision process we introduce an embedding which produces a finite-state Markov decision process. The finite-state embedded process has the same optima…