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The nodal count mystery

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Periodic and Ergodic Spectral Problems

The beautiful nodal patterns of oscillating membranes, usually called by the (incorrect) name Chladni patterns, have been known for several centuries (Galileo, Leonardo, Hooke) and studied in the last hundred years by many leading mathematicians. In spite of that, many properties of these patterns remain a mystery. We will present the history and some of the recent advances in the area of counting the nodal domains. No prior knowledge of the subject is assumed.

This is a joint work with Gregory Berkolaiko (Texas A&M) and Uzy Smilansky (Weizmann Institute)

This talk is part of the Isaac Newton Institute Seminar Series series.

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