@article{alazard:hal-03883547, TITLE = {{On the dynamics of the roots of polynomials under differentiation}}, AUTHOR = {Alazard, Thomas and Lazar, Omar and Nguyen, Quoc Hung}, URL = {https://hal-cnrs.archives-ouvertes.fr/hal-03883547}, JOURNAL = {{Journal de Math{\'e}matiques Pures et Appliqu{\'e}es}}, PUBLISHER = {{Elsevier}}, VOLUME = {162}, PAGES = {1-22}, YEAR = {2022}, MONTH = Jun, DOI = {10.1016/j.matpur.2022.04.001}, HAL_ID = {hal-03883547}, HAL_VERSION = {v1}, }