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Combining Igusa's conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent

Raf Cluckers , Kien Huu Nguyen
Algebra & Number Theory, In press
Article dans une revue hal-03020779v1

Motivic functions, integrability, and applications to harmonic analysis on $p$-adic groups

Immanuel Halupczok , Julia Gordon , Raf Cluckers
Electronic Research Announcements in Mathematical Sciences, 2014, 21, pp.137-152. ⟨10.3934/era.2014.21.137⟩
Article dans une revue hal-02374273v1

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry. Volume1

Raf Cluckers , Johannes Nicaise , Julien Sebag
Raf Cluckers, Johannes Nicaise, Julien Sebag. Cambridge University Press, pp.346, 2011, London Mathematical Society Lecture Note Series 383, 9780521149761
Ouvrages hal-00691855v1

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry. Volume 2

Raf Cluckers , Johannes Nicaise , Julien Sebag
Raf Cluckers, Johannes Nicaise, Julien Sebag. Cambridge University Press, 2011, London Mathematical Society Lecture Note Series 384, 978-1107648814
Ouvrages hal-00691859v1

Strictly convergent analytic structures

Raf Cluckers , Leonard Lipshitz
Journal of the European Mathematical Society, 2017, 19 (1), pp.107-149. ⟨10.4171/JEMS/662⟩
Article dans une revue hal-02373415v1

Doubling coverings via resolution of singularities and preparation

Raf Cluckers , Omer Friedland , Yosef Yomdin
Communications in Contemporary Mathematics, 2021, ⟨10.1142/S0219199720500182⟩
Article dans une revue hal-03020801v1

Integrability of oscillatory functions on local fields: Transfer principles

Raf Cluckers , Julia Gordon , Immanuel Halupczok
Duke Mathematical Journal, 2014, 163 (8), pp.1549-1600. ⟨10.1215/00127094-2713482⟩
Article dans une revue hal-02374277v1

A number theoretic characterization of $E$-smooth and (FRS) morphisms: estimates on the number of $\mathbb{Z}/p^{k}\mathbb{Z}$-points

Raf Cluckers , Itay Glazer , Yotam I. Hendel
Algebra & Number Theory, In press
Article dans une revue hal-03332271v1

NON-ARCHIMEDEAN YOMDIN–GROMOV PARAMETRIZATIONS AND POINTS OF BOUNDED HEIGHT

Raf Cluckers , Georges Comte , François Loeser
Forum of Mathematics, Pi, 2015, 3, ⟨10.1017/fmp.2015.4⟩
Article dans une revue hal-02374884v1

Hensel minimality I

Raf Cluckers , Immanuel Halupczok , Silvain Rideau-Kikuchi
Forum of Mathematics, Pi, 2022, ⟨10.1017/fmp.2022.6⟩
Article dans une revue hal-03017168v1

Uniform Yomdin-Gromov parametrizations and points of bounded height in valued fields

Raf Cluckers , Arthur Forey , François Loeser
Algebra & Number Theory, 2020, ⟨10.2140/ant.2020.14.1423⟩
Article dans une revue hal-03020842v1

Bounds for rational points on algebraic curves and dimension growth

Gal Binyamini , Raf Cluckers , Dmitry Novikov
2023
Pré-publication, Document de travail hal-04194525v1
Image document

WF-holonomicity of C-exp-class distributions on non-archimedean local fields

Avraham Aizenbud , Raf Cluckers
Forum of Mathematics, Sigma, 2020, 8, pp.e35. ⟨10.1017/fms.2020.27⟩
Article dans une revue hal-03020818v1

Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero

Raf Cluckers , François Loeser
Journal für die reine und angewandte Mathematik, 2013, ⟨10.1515/crelle-2013-0025⟩
Article dans une revue hal-02374256v1

The dimension growth conjecture, polynomial in the degree and without logarithmic factors

Wouter Castryck , Raf Cluckers , Philip Dittmann , Kien Huu Nguyen
Algebra & Number Theory, 2020, ⟨10.2140/ant.2020.14.2261⟩
Article dans une revue hal-03020827v1

Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero

Raf Cluckers , François Loeser
Journal für die reine und angewandte Mathematik, 2013, ⟨10.1515/crelle-2013-0025⟩
Article dans une revue hal-02374881v1

The Howe-Moore property for real and $p$-adic groups

Raf Cluckers , Yves de Cornulier , Nicolas Louvet , Romain Tessera , Alain Valette
Mathematica Scandinavica, 2011, 109, pp.201-224
Article dans une revue hal-00832262v1

Existential uniform $p$-adic integration and descent for integrability and largest poles

Raf Cluckers , Mathias Stout
2023
Pré-publication, Document de travail hal-04194527v1

Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero

Raf Cluckers , Immanuel Halupczok
Journal de l'École polytechnique — Mathématiques, 2018, 5, pp.45-78. ⟨10.5802/jep.63⟩
Article dans une revue hal-02373408v1

Local integrability results in harmonic analysis on reductive groups in large positive characteristic

Raf Cluckers , Julia Gordon , Immanuel Halupczok
Annales Scientifiques de l'École Normale Supérieure, 2014, 47 (6), pp.1163-1195. ⟨10.24033/asens.2236⟩
Article dans une revue hal-02374288v1

Distributions and wave front sets in the uniform non‐archimedean setting

Raf Cluckers , Immanuel Halupczok , François Loeser , Michel Raibaut
Transactions of the London Mathematical Society, 2018, 5 (1), pp.97-131. ⟨10.1112/tlm3.12013⟩
Article dans une revue hal-02374861v1

The log canonical threshold and rational singularities

Raf Cluckers , Mircea Mustata , János Kollár
Algebraic Geometry and Physics, In press
Article dans une revue hal-03020794v1

Bounds for rational points on algebraic curves, optimal in the degree, and dimension growth

Gal Binyamini , Raf Cluckers , Dmitry Novikov
International Mathematics Research Notices, In press, ⟨10.1093/imrn/rnae034⟩
Article dans une revue hal-04449062v1

A DEFINABLE -ADIC ANALOGUE OF KIRSZBRAUN’S THEOREM ON EXTENSIONS OF LIPSCHITZ MAPS

Raf Cluckers , Florent Martin
Journal of the Institute of Mathematics of Jussieu, 2018, 17 (1), pp.39-57. ⟨10.1017/S1474748015000390⟩
Article dans une revue hal-02373405v1

Mellin transforms of power-constructible functions

Raf Cluckers , Georges Comte , Jean-Philippe Rolin , Tamara Servi
2023
Pré-publication, Document de travail hal-04194526v1

Uniform parameterization of subanalytic sets and diophantine applications

Raf Cluckers , Jonathan Pila , Alex Wilkie
Annales Scientifiques de l'École Normale Supérieure, 2020, 53 (1), pp.1-42. ⟨10.24033/asens.2416⟩
Article dans une revue hal-02569212v1

Bounds for p-adic exponential sums and log-canonical thresholds

Raf Cluckers , Willem Veys
American Journal of Mathematics, 2016, 138 (1), pp.61-80. ⟨10.1353/ajm.2016.0003⟩
Article dans une revue hal-02373900v1

Integration of oscillatory and subanalytic functions

Raf Cluckers , Georges Comte , Daniel J. Miller , Jean-Philippe Rolin , Tamara Servi
Duke Mathematical Journal, 2018, 167 (7), pp.1239-1309. ⟨10.1215/00127094-2017-0056⟩
Article dans une revue hal-01900046v1

Hensel minimality II: Mixed characteristic and a diophantine application

Raf Cluckers , Immanuel Halupczok , Silvain Rideau-Kikuchi , Floris Vermeulen
Forum of Mathematics, Sigma, In press
Article dans une revue hal-03332241v1

Uniform analysis on local fields and applications to orbital integrals

Raf Cluckers , Julia Gordon , Immanuel Halupczok
Transactions of the American Mathematical Society, Series B, 2018, 5 (6), pp.125-166. ⟨10.1090/btran/25⟩
Article dans une revue hal-02373412v1