7 citations · 11 across the 3 of their papers we have counts for
5 papers
Universal systole bounds for arithmetic locally symmetric spaces
Sara Lapan, Benjamin Linowitz, Jeffrey S. Meyer
The systole of a closed Riemannian manifold is the minimal length of a non-contractible closed loop. We give a uniform lower bound for the systole for large classes of simple arith…
Systole inequalities for arithmetic locally symmetric spaces
Sara Lapan, Benjamin Linowitz, Jeffrey S. Meyer
In this paper we study the systole growth of arithmetic locally symmetric spaces up congruence covers and show that this growth is at least logarithmic in volume. This generalizes…
Interesting examples in of maps tangent to the identity without domains of attraction
Sara Lapan
We give an interesting example of a map in that is tangent to the identity, but that does not have a domain of attraction along any of its characteristic direction.…
Domain of attraction for maps tangent to the identity in with characteristic direction of higher degree
Sara Lapan
We study holomorphic fixed point germs in two complex variables that are tangent to the identity and have a degenerate characteristic direction. We show that if that characteristic…
Attracting domains of maps tangent to the identity whose only characteristic direction is non-degenerate
Sara Lapan
We prove that a holomorphic fixed point germ in two complex variables, tangent to the identity, and whose only characteristic direction is non-degenerate, has a domain of attractio…