21 citations · 37 across the 12 of their papers we have counts for
12 papers
Dynamics of rotationally invariant polynomial root sets under iterated differentiations
André Galligo, Joseph Najnudel, Truong Vu
We associate to an -sample of a given rotationally invariant probability measure with compact support in the complex plane, a polynomial with roots given by the samp…
Dynamics of roots of randomized derivative polynomials
André Galligo, Joseph Najnudel
In this paper, we study the asymptotic macroscopic behavior of the root sets of iterated, randomized derivatives of polynomials. The randomization depend on a parameter of inverse…
Anti-concentration applied to roots of randomized derivatives of polynomials
André Galligo, Joseph Najnudel, Truong Vu
Let be a random set of points and let be its \emph{empirical measure}: Let $$P_n(z) := (z -…
Modeling complex root motion of real random polynomials under differentiation
André Galligo
In this paper, we consider nonlocal, nonlinear partial differential equations to model anisotropic dynamics of complex root sets of random polynomials under differentiation. These…
Spirometry-based airways disease simulation and recognition using Machine Learning approaches
Riccardo Dio, André Galligo, Angelos Mantzaflaris +1
The purpose of this study is to provide means to physicians for automated and fast recognition of airways diseases. In this work, we mainly focus on measures that can be easily rec…
Algebraic method for constructing singular steady solitary waves: A case study
Didier Clamond, Denys Dutykh, André Galligo
This article describes the use of algebraic methods in a phase plane analysis of ordinary differential equations. The method is illustrated by the study of capillary-gravity steady…