3 papers
math.MG2023
Lipschitz geometry and combinatorics of circular snakes
André Costa, Davi Medeiros, Emanoel Souza
This paper explores the Lipschitz geometric and combinatorial properties of germs of real semialgebraic surfaces (or, more generally, definable in a polynomially bounded o-minimal…
math.SP2022
On the Fourier asymptotics of absolutely continuous measures with power-law singularities
M. Aloisio, S. L. de Carvalho, C. R. de Oliveira +1
We prove sharp estimates on the time-average behavior of the squared absolute value of the Fourier transform of some absolutely continuous measures that may have power-law singular…
math.MG2021
Lipschitz geometry and combinatorics of abnormal surface germs
Andrei Gabrielov, Emanoel Souza
We study outer Lipschitz geometry of real semialgebraic or, more general, definable in a polynomially bounded o-minimal structure over the reals, surface germs. In particular, any…