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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.CD2002★ 20 cited
Saddle points in the chaotic analytic function and Ginibre characteristic polynomial
M. R. Dennis, J. H. Hannay
Comparison is made between the distribution of saddle points in the chaotic analytic function and in the characteristic polynomials of the Ginibre ensemble. Realising the logarithm…