Ram Band - What one cannot hear: drums that sound the same

University of Bristol

"In 1966 Marc Kac asked 'Can one hear the shape of a drum?'. The answer was found only in 1992, when Gordon et al. found a pair of drums with the same spectrum. The study of isospectrality and inverse problems is obviously not limited to drums and treats various objects such as molecules, quantum dots and graphs. We present a new method for the construction of isospectral objects and demonstrate its strength on quantum graphs. This is a joint work with Ori Parzanchevski and Gilad Ben-Shach."

Download the slides here.

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