PUBLICATIONS
1- G.
Comte,
Sur les
hypothèses du théorème de Sard pour le lieu
critique de rang zéro, C.
R. Acad. Sci. Paris Sér. I Math.
323
no. 2 (1996), 143-146
2-
G. Comte,
Multiplicity of complex analytic sets and bi-Lipschitz
maps, Real
analytic and algebraic singularities (Nagoya/Sapporo/Hachioji, 1996),
182-188,
Pitman Res. Notes Math. Ser., 381, Longman, Harlow (1998)
3-
G. Comte,
Formule de Cauchy-Crofton pour la densité des
ensembles sous-analytiques, C.
R. Acad. Sci. Paris Sér. I Math.
328 no.
6 (1999), 505-508
4- G.
Comte, J.-M.
Lion, J.-P. Rolin, Nature
log-analytique
du volume des sous-analytiques, Illinois
J. Math. 44 (2000),
no.
4, 884-888
5-
G. Comte,
Équisingularité réelle, nombres de
Lelong et images polaires, Ann.
Sci.
École Norm. Sup.
(4) 33 (2000),
no. 6, 757-788
6- G. Comte, P. Milman, D. Trotman,
On
Zariski's multiplicity problem, Proc.
Amer.
Math. Soc. 130
no. 7 (2002), 2045-2048
7- G.
Comte, Y. Yomdin, Springer
LNM no 1834 (2004), Tame
Geometry with Application in Smooth Analysis
8- L.
Alberti, G. Comte,
B. Mourrain, Meshing
implicit algebraic surfaces : the smooth case, Mathematical
methods for curves and surfaces: Tromsø
2004,
11-26, Mod. Methods Math., Nashboro
Press, Brentwood, TN,
(2005)
9- G.
Comte, Entropy and quantitative transversality, Encyclopedia of Mathematical Physics, Academic Press
(2006),
p. 237-242
10- G.
Comte, M. Merle
(Appendice with P. Graftieaux),
Équisingularité réelle II : Invariants locaux et
Conditions de Régularité, Ann.
Sci. École Norm. Sup.,
série
4, (41),
fascicule 2 (2008), 221-269 Slides
of a talk
11- G.
Comte,
Jacques Herbrand (1908-1931), Gaz. Math. no 118 (2008)
12- L.
Alberti, G. Comte,
B. Mourrain, Meshing
real algebraic sets with singularities
13- G.
Comte,
Y. Yomdin, Rotation
of trajectories of Lipschitz vector fields, J.
Diff. Geom.
Volume 81, Number 3 (2009),
601-630 Slides
of a talk
14- R.
Cluckers, G. Comte,
F. Loeser, Lipschitz
continuity properties for p-adic semi-algebraic and subanalytic
functions, Geom.
Funct. Anal. 20 (2010), 68-87
15-
R. Cluckers, G.
Comte,
F. Loeser, Local
metric properties and regular stratifications of p-adic definable sets,
Commentarii
Mathematici Helvetici 87 no 4
(2012),
963-1009
16-
G. Comte, G. Fichou, Grothendieck ring of semialgebraic formulas and
motivic real Milnor fibers, Geometry
& topology 18 (2014), 963-996
Slides of a talk
17- G.
Comte,
Deformation
of singularities and additive invariants, Journal
of Singularities, Volume 13 (2015), 11-41
18- R. Cluckers, G. Comte, F. Loeser, Non archimedean Yomdin-Gromov parametrizations and
points of bounded height, Forum of Mathematics, Pi (2015),
Vol.
3, e5, 60 pages
19- G.
Comte,
C. Miller, Points
of bounded height on oscillatory sets, Quart.
J. Math 68 (2017), 1261-1287, Slides
of a talk
20- R. Cluckers, G.
Comte, D.
J. Miller, J. P. Rolin, T. Servi, Integration of oscillatory and subanalytic functions, Duke Math. J. 167 (2018) no. 7, 1239-1309,
Slides of a talk
Video Conference
(Mini-workshop on transseries and dynamical systems, Fields Institute,
May 2022)
21- G.
Comte, Y.
Yomdin, Zeroes and rational points of
analytic functions, Ann.
Inst. Fourier (Grenoble) 68
(2018) no.6, 2445-2476
Slides of a talk
Slides of a talk
Video Conference
(O-minimality and Diophantine Applications, Fields Institute, June 2017)
22- G.
Comte, I.
Halupczok, Motivic Vitushkin invariants, to appear in Compositio Math., arXiv
23- R.
Cluckers, G. Comte, J.-P. Rolin, T. Servi, Mellin transforms of power
constructible functions, to appear in Advances in Mathematics, arXiv
24- R.
Cluckers, G. Comte, T. Servi, Parametric Fourier and Mellin
transforms of power constructible functions, to appear in Forum Math.
Sigma, arXiv
25- G.
Comte, S.
Tavenas, Rational and lacunary algebraic curves,
arXiv
A short article on the meaning of mathematics (in French):
- G. Comte, Que disent les mathématiques ? The Conversation (popular science online review for
academic authors) 2024
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