2 papers
nlin.CD2003
Shrunk loop theorem for the topology probabilities of closed Brownian (or Feynman) paths on the twice punctured plane
Olivier Giraud, Andy Thain, John H. Hannay
The shrunk loop theorem presented here is an integral identity which facilitates the calculation of the relative probability (or probability amplitude) of any given topology that a…
physics.optics2003
Exact scattering theory for any straight reflectors in two dimensions
J. H. Hannay, A. Thain
The exact Green function for the scalar wave equation in a plane with any set of perfectly reflecting straight mirrors, which may be joined to form corners, is given as a diffracti…