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Article Dans Une Revue Journal of Physics A: Mathematical and General (1975 - 2006) Année : 2005

Finite geometries and diffractive orbits in isospectral billiards

Olivier Giraud

Résumé

Several examples of pairs of isospectral planar domains have been produced in the two-dimensional Euclidean space by various methods. We show that all these examples rely on the symmetry between points and blocks in finite projective spaces; from the properties of these spaces, one can derive a relation between Green functions as well as a relation between diffractive orbits in isospectral billiards.
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Dates et versions

hal-00171269 , version 1 (12-09-2007)

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Olivier Giraud. Finite geometries and diffractive orbits in isospectral billiards. Journal of Physics A: Mathematical and General (1975 - 2006), 2005, 38 (27), pp.L477-L483. ⟨10.1088/0305-4470/38/27/L01⟩. ⟨hal-00171269⟩
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