CARMA COLLOQUIUM Speaker: Dr Faustin Adiceam, University of York Title: How far can you see in a forest? Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle Time and Date: 4:00 pm, Thu, 22nd Oct 2015 Abstract: We will be answering the following question raised by Christopher Bishop: 'Suppose we stand in a forest with tree trunks of radius $r > 0$ and no two trees centered closer than unit distance apart. Can the trees be arranged so that we can never see further than some distance $V < \infty$, no matter where we stand and what direction we look in? What is the size of $V$ in terms of $r$?' The methods used to study this problem involve Fourier analysis and sharp estimates of exponential sums. [Permanent link]