4 papers
Efficient covering of convex domains by congruent discs
Shai Gul, Reuven Cohen, Simi Haber
In this paper, we consider the problem of covering a plane region with unit discs. We present an improved upper bound and the first nontrivial lower bound on the number of discs ne…
Online exploration outside a convex obstacle
Shai Gul, Eitan Tiktinsky, Slava Shamshanov +1
A watchman path is a path such that a direct line of sight exists between each point in some region and some point along the path. Here, we study the online watchman path problem o…
-Normal Families and entire functions
Shai Gul, Shahar Nevo
For every countable ordinal number we construct an entire function such that the family is exactly -normal in the unit disk.
Creating Limit Functions By The Pang-Zalcman Lemma
Shai Gul, Shahar Nevo
In this paper we calculate the collection of limit functions obtained by applying an extension of Zalcman's Lemma, due to X. C. Pang, to the non-normal family $\left\{f(nz):n\in\ma…