3 papers
math.CA2025
Incidence Estimates for Tubes in Complex Space
Sarah Tammen, Lingxian Zhang
In this paper, we prove a complex version of the incidence estimate of Guth, Solomon and Wang for tubes obeying certain strong spacing conditions, and we use one of our new estimat…
math.CA2025
Incidences among flows
Kaiyi Huang, Betsy Stovall, Sarah Tammen
We consider two incidence problems for integral curves of vector fields. The first is an analogue of the Euclidean joints problem, in which lines are replaced by integral curves of…
math.CA2025
Incidence bounds related to circular Furstenberg sets
John Green, Terence L. J. Harris, Yumeng Ou +2
We prove bounds on approximate incidences between families of circles and families of points in the plane. As a consequence, we prove a lower bound for the dimension of circular $(…