| Popis: |
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. |
