Krikorian, Raphaël On the divergence of Birkhoff normal forms. (English) Zbl 1501.37065 Publ. Math., Inst. Hautes Étud. Sci. 135, 1-181 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J11 37J12 PDFBibTeX XMLCite \textit{R. Krikorian}, Publ. Math., Inst. Hautes Étud. Sci. 135, 1--181 (2022; Zbl 1501.37065) Full Text: DOI arXiv
Katok, A.; Krikorian, R. On the accumulation of separatrices by invariant circles. (English) Zbl 1495.37018 Ergodic Theory Dyn. Syst. 42, No. 3, 1057-1097 (2022). MSC: 37C05 37J11 37C25 37C75 37C79 PDFBibTeX XMLCite \textit{A. Katok} and \textit{R. Krikorian}, Ergodic Theory Dyn. Syst. 42, No. 3, 1057--1097 (2022; Zbl 1495.37018) Full Text: DOI arXiv
Bjerklöv, Kristian; Krikorian, Raphaël Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials. (English) Zbl 1492.37059 J. Spectr. Theory 11, No. 3, 1215-1254 (2021). MSC: 37H15 37M25 34L05 34L40 47A11 PDFBibTeX XMLCite \textit{K. Bjerklöv} and \textit{R. Krikorian}, J. Spectr. Theory 11, No. 3, 1215--1254 (2021; Zbl 1492.37059) Full Text: DOI arXiv
Crovisier, Sylvain (ed.); Krikorian, Raphaël (ed.); Matheus, Carlos (ed.); Senti, Samuel (ed.) Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Volume I. (English) Zbl 1446.37002 Astérisque 415. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-916-6/pbk). xxvii, 274 p. (2020). MSC: 37-06 37Axx 37Bxx 37Cxx 37Dxx 37Exx 37Jxx PDFBibTeX XMLCite \textit{S. Crovisier} (ed.) et al., Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Volume I. Paris: Société Mathématique de France (SMF) (2020; Zbl 1446.37002) Full Text: DOI
Crovisier, Sylvain (ed.); Krikorian, Raphaël (ed.); Matheus, Carlos (ed.); Senti, Samuel (ed.) Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Volume II. (English) Zbl 1446.37001 Astérisque 416. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-917-3/pbk). xvii, 340 p. (2020). MSC: 37-06 37Axx 37Bxx 37Cxx 37Dxx 37Exx 37Jxx PDFBibTeX XMLCite \textit{S. Crovisier} (ed.) et al., Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Volume II. Paris: Société Mathématique de France (SMF) (2020; Zbl 1446.37001) Full Text: DOI
Fayad, Bassam; Krikorian, Raphaël Some questions around quasi-periodic dynamics. (English) Zbl 1450.37024 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1909-1932 (2018). MSC: 37C55 37E10 37E30 11J83 PDFBibTeX XMLCite \textit{B. Fayad} and \textit{R. Krikorian}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1909--1932 (2018; Zbl 1450.37024) Full Text: DOI arXiv
Eliasson, H.; Fayad, B.; Krikorian, R. J.-C. Yoccoz and the theory of circle diffeomorphisms. (English. French summary) Zbl 1454.37040 Berger, Pierre (ed.) et al., Jean-Christophe Yoccoz. Conference on dynamical systems in memory of Jean-Christophe Yoccoz, Collège de France, Paris, France, May 29–31, 2017. Paris: Société Mathématique de France (SMF). Gaz. Math., Soc. Math. Fr., Spec. Iss., 55-66 (2018). MSC: 37E10 37F25 37J40 37A25 37-03 01A60 PDFBibTeX XMLCite \textit{H. Eliasson} et al., in: Jean-Christophe Yoccoz. Conference on dynamical systems in memory of Jean-Christophe Yoccoz, Collège de France, Paris, France, May 29--31, 2017. Paris: Société Mathématique de France (SMF). 55--66 (2018; Zbl 1454.37040)
Krikorian, Raphaël; Wang, Jing; You, Jiangong; Zhou, Qi Linearization of quasiperiodically forced circle flows beyond Brjuno condition. (English) Zbl 1402.37034 Commun. Math. Phys. 358, No. 1, 81-100 (2018). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 37C55 37E45 34C46 PDFBibTeX XMLCite \textit{R. Krikorian} et al., Commun. Math. Phys. 358, No. 1, 81--100 (2018; Zbl 1402.37034) Full Text: DOI arXiv
Eliasson, Hakan; Fayad, Bassam; Krikorian, Raphaël Jean-Christophe Yoccoz and the theory of circle diffeomorphisms. arXiv:1810.07107 Preprint, arXiv:1810.07107 [math.DS] (2018). BibTeX Cite \textit{H. Eliasson} et al., ``Jean-Christophe Yoccoz and the theory of circle diffeomorphisms'', Preprint, arXiv:1810.07107 [math.DS] (2018) Full Text: arXiv OA License
Avila, Artur; Krikorian, Raphaël Monotonic cocycles. (English) Zbl 1356.37070 Invent. Math. 202, No. 1, 271-331 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 37H05 37D25 PDFBibTeX XMLCite \textit{A. Avila} and \textit{R. Krikorian}, Invent. Math. 202, No. 1, 271--331 (2015; Zbl 1356.37070) Full Text: DOI arXiv
Eliasson, L. H.; Fayad, B.; Krikorian, R. Around the stability of KAM tori. (English) Zbl 1366.37126 Duke Math. J. 164, No. 9, 1733-1775 (2015). Reviewer: Xiaocai Wang (Huaian) MSC: 37J40 70H08 37J25 70H12 70H14 PDFBibTeX XMLCite \textit{L. H. Eliasson} et al., Duke Math. J. 164, No. 9, 1733--1775 (2015; Zbl 1366.37126) Full Text: DOI arXiv Euclid
Hubert, P.; Krikorian, R. Artur Avila, a brilliant Carioca in Paris. (Artur avila, un génie carioca à Paris.) (French) Zbl 1358.01115 Gaz. Math., Soc. Math. Fr. 142, 55-69 (2014). MSC: 01A70 PDFBibTeX XMLCite \textit{P. Hubert} and \textit{R. Krikorian}, Gaz. Math., Soc. Math. Fr. 142, 55--69 (2014; Zbl 1358.01115)
Eliasson, L. Hakan; Fayad, Bassam; Krikorian, Raphaël KAM-tori near an analytic elliptic fixed point. (English) Zbl 1417.37212 Regul. Chaotic Dyn. 18, No. 6, 801-831 (2013). MSC: 37J40 37J25 70H08 70H14 PDFBibTeX XMLCite \textit{L. H. Eliasson} et al., Regul. Chaotic Dyn. 18, No. 6, 801--831 (2013; Zbl 1417.37212) Full Text: DOI arXiv
Avila, Artur; Fayad, Bassam; Krikorian, Raphaël A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies. (English) Zbl 1277.37089 Geom. Funct. Anal. 21, No. 5, 1001-1019 (2011). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37J40 37E20 PDFBibTeX XMLCite \textit{A. Avila} et al., Geom. Funct. Anal. 21, No. 5, 1001--1019 (2011; Zbl 1277.37089) Full Text: DOI arXiv
Fayad, Bassam; Krikorian, Raphaël Rigidity results for quasiperiodic \(\mathrm{SL}(2, \mathbb R)\)-cocycles. (English) Zbl 1191.37007 J. Mod. Dyn. 3, No. 4, 479-510 (2009). Reviewer: Douglas S. Shafer (Charlotte) MSC: 37A25 37K55 PDFBibTeX XMLCite \textit{B. Fayad} and \textit{R. Krikorian}, J. Mod. Dyn. 3, No. 4, 479--510 (2009; Zbl 1191.37007) Full Text: DOI
Fayad, Bassam; Krikorian, Raphaël Herman’s last geometric theorem. (English) Zbl 1175.37062 Ann. Sci. Éc. Norm. Supér. (4) 42, No. 2, 193-219 (2009). Reviewer: Xiaoping Yuan (Shanghai) MSC: 37J40 28D05 PDFBibTeX XMLCite \textit{B. Fayad} and \textit{R. Krikorian}, Ann. Sci. Éc. Norm. Supér. (4) 42, No. 2, 193--219 (2009; Zbl 1175.37062) Full Text: DOI Link
Fayad, Bassam; Krikorian, Raphaël Exponential growth of product of matrices in \(\text{SL}(2,{\mathbb{R}})\). (English) Zbl 1142.37024 Nonlinearity 21, No. 2, 319-323 (2008). MSC: 37C85 37H15 PDFBibTeX XMLCite \textit{B. Fayad} and \textit{R. Krikorian}, Nonlinearity 21, No. 2, 319--323 (2008; Zbl 1142.37024) Full Text: DOI
Dolgopyat, Dmitry; Krikorian, Raphaël On simultaneous linearization of diffeomorphisms of the sphere. (English) Zbl 1113.37038 Duke Math. J. 136, No. 3, 475-505 (2007). Reviewer: Katarina Janková (Bratislava) MSC: 37H15 37C85 70H08 PDFBibTeX XMLCite \textit{D. Dolgopyat} and \textit{R. Krikorian}, Duke Math. J. 136, No. 3, 475--505 (2007; Zbl 1113.37038)
Avila, Artur; Krikorian, Raphaël Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles. (English) Zbl 1138.47033 Ann. Math. (2) 164, No. 3, 911-940 (2006). Reviewer: Gheorghe Zet (Iaşi) MSC: 47B80 81Q10 37A20 37D25 39A10 47B36 47N50 PDFBibTeX XMLCite \textit{A. Avila} and \textit{R. Krikorian}, Ann. Math. (2) 164, No. 3, 911--940 (2006; Zbl 1138.47033) Full Text: DOI arXiv Euclid
Krikorian, Raphaël Deviations of ergodic averages, Teichmüller flow and Kontsevich-Zorich cocycle (following Forni, Kontsevich, Zorich, etc.). (Déviations de moyennes ergodiques, flots de Teichmüller et cocycle de Kontsevich-Zorich (d’après Forni, Kontsevich, Zorich…).) (French) Zbl 1094.37021 Bourbaki seminar. Volume 2003/2004. Exposes 924–937. Paris: Société Mathématique de France (ISBN 2-85629-173-2/pbk). Astérisque 299, 59-93, Exp. No. 927 (2005). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 37E35 32G15 37F30 37A20 37A25 37C40 37D40 PDFBibTeX XMLCite \textit{R. Krikorian}, Astérisque 299, 59--93, Exp. No. 927 (2005; Zbl 1094.37021)
Krikorian, Raphaël Reducibility, differentiable rigidity and Lyapunov exponents for quasi-periodic cocycles on \({\bf T}times SL(2,{\bf R})\). arXiv:math/0402333 Preprint, arXiv:math/0402333 [math.DS] (2004). BibTeX Cite \textit{R. Krikorian}, ``Reducibility, differentiable rigidity and Lyapunov exponents for quasi-periodic cocycles on ${\bf T}times SL(2,{\bf R})$'', Preprint, arXiv:math/0402333 [math.DS] (2004) Full Text: arXiv
Krikorian, Raphaël Global density of reducible quasi-periodic cocycles on \(\mathbb T^1\times \text{SU}(2)\). (English) Zbl 1030.37003 Ann. Math. (2) 154, No. 2, 269-326 (2001). Reviewer: Emilia Petrisor (Timişoara) MSC: 37A20 37C15 37C55 37H05 PDFBibTeX XMLCite \textit{R. Krikorian}, Ann. Math. (2) 154, No. 2, 269--326 (2001; Zbl 1030.37003) Full Text: DOI
Krikorian, Raphaël Reducibility of skew-product systems with values in compact groups. (Réductibilité des systèmes produits-croisés à valeurs dans des groupes compacts.) (French) Zbl 0957.37016 Astérisque. 259. Paris: Société Mathématique de France, vi, 216 p. (1999). Reviewer: Eugene Ershov (St.Peterburg) MSC: 37C85 37J40 37-02 34C25 37K99 37C55 37D25 PDFBibTeX XMLCite \textit{R. Krikorian}, Réductibilité des systèmes produits-croisés à valeurs dans des groupes compacts. Paris: Société Mathématique de France (1999; Zbl 0957.37016)
Krikorian, Raphaël Almost everywhere reducibility of quasi-periodic fibered flows with values in compact groups. (Réductibilité presque partout des flots fibrés quasi-périodiques à valeurs dans des groupes compacts.) (French) Zbl 1098.37510 Ann. Sci. Éc. Norm. Supér. (4) 32, No. 2, 187-240 (1999). MSC: 37C55 37A20 PDFBibTeX XMLCite \textit{R. Krikorian}, Ann. Sci. Éc. Norm. Supér. (4) 32, No. 2, 187--240 (1999; Zbl 1098.37510) Full Text: DOI Numdam EuDML
Krikorian, Raphaël Global \(C^0\)-density of reducible skew-product systems on the circle. (\(C^0\)-densité globale des systèmes produits-croisés sur le cercle réductibles.) (French) Zbl 0963.37016 Ergodic Theory Dyn. Syst. 19, No. 1, 61-100 (1999). Reviewer: Andrzej Pelczar (Kraków) MSC: 37C15 57R50 37E99 54H20 37C99 PDFBibTeX XMLCite \textit{R. Krikorian}, Ergodic Theory Dyn. Syst. 19, No. 1, 61--100 (1999; Zbl 0963.37016) Full Text: DOI
Krikorian, Raphaël Almost everywhere reducibility of analytic quasi periodic systems in the \(SO(3)\) case. (Réductibilité presque partout des systèmes quasi périodiques analytiques dans le cas \(SO(3)\).) (French. Abridged English version) Zbl 0863.58044 C. R. Acad. Sci., Paris, Sér. I 321, No. 8, 1039-1044 (1995). Reviewer: E.Petrisor (Timişoara) MSC: 37A99 PDFBibTeX XMLCite \textit{R. Krikorian}, C. R. Acad. Sci., Paris, Sér. I 321, No. 8, 1039--1044 (1995; Zbl 0863.58044)
Krikorian, Raphaël Necessary conditions for a holomorphic dynamical system to admit the origin as a local attractor. (English) Zbl 0786.93085 Syst. Control Lett. 20, No. 4, 315-318 (1993). MSC: 93D20 PDFBibTeX XMLCite \textit{R. Krikorian}, Syst. Control Lett. 20, No. 4, 315--318 (1993; Zbl 0786.93085) Full Text: DOI