Publications (17)
Linearly Supporting Feature Extraction For Automated Estimation Of Stellar Atmospheric Parameters
Xiangru Li, Yu Lu, Georges Comte +3
We describe a scheme to extract linearly supporting (LSU) features from stellar spectra to automatically estimate the atmospheric parameters , log, and [Fe/H]. "Linear…
Integration of Oscillatory and Subanalytic Functions
Raf Cluckers, Georges Comte, Daniel J. Miller +2
We prove the stability under integration and under Fourier transform of a concrete class of functions containing all globally subanalytic functions and their complex exponentials.…
M subdwarf research. I. Identification, modified classification system, and sample construction
Shuo Zhang, A-Li Luo, Georges Comte +7
We propose a revision of the system developed by L'epine et al. (2007) for spectroscopic M subdwarf classification. Based on an analysis of subdwarf spectra and templates from Savc…
M Subdwarf Research III. Spectroscopic Diagnostics for Breaking Parameter Degeneracy
Shuo Zhang, Hua-Wei Zhang, Georges Comte +5
To understand the parameter degeneracy of M subdwarf spectra at low resolution, we assemble a large number of spectral features in the wavelength range of 0.6-2.5 μm with band str…
Rational and lacunary algebraic curves
Georges Comte, Sébastien Tavenas
We give a bound on the number of intersection points in a ball of the complex plane, between a rational curve and a lacunary algebraic curve . This bound depends…
An equisingular heritage of Bernard Teissier
Georges Comte
We give a brief and partial overview of Bernard Teissier's work in complex equisingularity theory, and a perspective on its legacy; in particular, we focus on the development of th…
Parametric Fourier and Mellin transforms of power-constructible functions
Raf Cluckers, Georges Comte, Tamara Servi
We enrich the class of power-constructible functions, introduced in [CCRS23], to a class of algebras of functions which contains all complex powers of subanalytic functions, their…
Motivic Vitushkin invariants
Georges Comte, Immanuel Halupczok
We prove the nonarchimedean counterpart of a real inequality involving the metric entropy and measure geometric invariants , called Vitushkin's variations. Our inequality is b…
Points of bounded height on oscillatory sets
Georges Comte, Chris Miller
We show that transcendental curves in (not necessarily compact) have few rational points of bounded height provided that the curves are well behaved with respect to a…
Mellin transforms of power-constructible functions
Raf Cluckers, Georges Comte, Jean-Philippe Rolin +1
We consider several systems of algebras of real- and complex-valued functions, which appear in o-minimal geometry and related geometrically tame contexts. For each such system, we…
Decay of Fourier transforms and analytic continuation of power-constructible functions
Georges Comte, Dan J. Miller, Tamara Servi
For a subfield K of C, we denote by C^K the category of algebras of functions defined on the globally subanalytic sets that are generated by all K-powers and logarithms of positive…
Zeroes and rational points of analytic functions
Georges Comte, Yosef Yomdin
For an analytic function on a neighbourhood of a closed disc , we give assumptions, in terms of the Taylor coefficients of $…
A Search for Double-peaked narrow emission line Galaxies and AGNs in the LAMOST DR1
Zhi-Xin Shi, A-Li Luo, Georges Comte +15
LAMOST has released more than two million spectra, which provide the opportunity to search for double-peaked narrow emission line (NEL) galaxies and AGNs. The double-peaked narrow-…
M Subdwarf Research. II. Atmospheric Parameters and Kinematics
Shuo Zhang, A-Li Luo, Georges Comte +12
Applying the revised M subdwarf classification criteria discussed in Paper I to LAMOST DR7, combining the M subdwarf sample from Savcheva et al, a new M subdwarf sample was constru…
Deformation of singularities and additive invariants
Georges Comte
In this survey on local additive invariants of real and complex definable singular germs we systematically present classical or more recent invariants of different nature as emergi…
Rotation of Trajectories of Lipschitz Vector Fields
Georges Comte, Yosef Yomdin
We prove that in finite time a trajectory of a Lipschitz vector field in $\hbox{\bbbb R}^{\hbox{\tmm n}}$ can not have infinite rotation around a given point. This result extends t…
Equisingularite reelle : invariants locaux et conditions de regularite
Georges Comte, Michel Merle
For germs of subanalytic sets, we define two finite sequences of new numerical invariants. The first one is obtained by localizing the classical Lipschitz-Killing curvatures, the s…