2 citations · 2 across the 7 of their papers we have counts for
6 papers · 1 filter
Bi-Lipschitz invariance of the transverse polynomial along polar arcs
Nhan Nguyen
We study transverse polynomials along polar arcs of reduced holomorphic plane function germs. We prove that, under bi-Lipschitz right equivalence, matched tangential polar arcs hav…
A Chow-Type theorem from asymptotic directions
Nhan Nguyen
Let be a closed pure -dimensional complex analytic set. We associate to its set of projective asymptotic directions $$ Σ_\infty(X) :=\{\ell \in \mathb…
Bi-H"older invariants in o-minimal structures
An V. Q. Huynh, Minh B. Nguyen, Nhan X. V. Nguyen +1
We prove that for any two definable germs in a polynomially bounded o-minimal structure, there exists a critical threshold such that if these germs are bi--H"old…
Classification of Lipschitz unimodal function germs
Nhan Nguyen, Maria Ruas, Saurabh Trivedi
In this paper, we introduce the notion of Lipschitz modality for isolated singularities and provide a complete classification of Lipschi…
A bi-Lipschitz invariant for analytic function germs
Nhan Nguyen
In this paper, we introduce a new bi-Lipschitz invariant for analytic function germs in two variables, enhancing the Henry-Parusinski invariant.
On the density at infinity of definable functions
Dinh Si Tiep, Nhan Nguyen
In this paper, we give a simple proof that the density at infinity of fibers of a definable function is locally Lipschitz outside the set of asymptotic critical values.