• 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.


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