Polynomial Lemniscates and Their Fingerprints: from Geometry to Topology
نویسندگان
چکیده
We study shapes given by polynomial lemniscates, and their fingerprints. We focus on the inflection points of fingerprints, their number and geometric meaning. Furthermore, we study dynamics of zeros of lemniscate-generic polynomials and their ‘explosions’ that occur by planting additional zeros into a defining polynomial at a certain moment, and then studying the resulting deformation. We call this dynamics polynomial fireworks and show that it can be realized by a construction of a non-unitary operad.
منابع مشابه
VIII CONGRESO COLOMBIANO DE METODOS NUMERICOS: Simulación en Ciencias y Aplicaciones Industriales
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