Graff, GrzegorzMisiurewicz, MichałNowak-Przygodzki, Piotr2018-10-262018-10-262018Graff, G., Misiurewicz, M., & Nowak-Przygodzki, P. (2018). Shub’s conjecture for smooth longitudinal maps of Sm. Journal of Difference Equations and Applications, 24(7), 1044–1054. https://doi.org/10.1080/10236198.2018.1449840https://hdl.handle.net/1805/17657Let f be a smooth map of the m-dimensional sphere Sm to itself, preserving the longitudinal foliation. We estimate from below the number of fixed points of the iterates of f, reduce Shub’s conjecture for longitudinal maps to a lower dimensional classical version, and prove the conjecture in case m=2 and in a weak form for m=3.enPublisher Policyperiodic pointstopological degreesmooth mapsArticle