7 citations · 11 across the 3 of their papers we have counts for
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math.DS2016
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.…
math.DS2015★ 2 cited
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…
math.DS2012★ 7 cited
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…