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nlin.CD2003★ 5 cited
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…
nlin.CD2003★ 8 cited
Diffractive orbits in isospectral billiards
Olivier Giraud
Isospectral domains are non-isometric regions of space for which the spectra of the Laplace-Beltrami operator coincide. In the two-dimensional Euclidean space, instances of such do…