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谢俊逸/ Junyi Xie
北京大学数学科学学院(北京国际数学研究中心 / BICMR)
镜春园 78 号院 78303 室 / Jingchunyuan Courtyard 78, Office 78303
xiejunyi@bicmr.pku.edu.cn
(email)
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科研成果(PUBLICATIONS)
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科研成果 by Type: 期刊论文
2025
Xie J
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The existence of Zariski dense orbits for endomorphisms of projective surfaces. With an appendix in collaboration with Thomas Tucker
. J. Amer. Math. Soc. [Internet]. 2025;38(1):1-62.
pdf
2024
Fu B, Ou W, Xie J
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On Fano manifolds of Picard number one with big automorphism groups
. Math. Res. Lett. [Internet]. 2024;31(1): 175–191.
pdf
Xie J
.
Algebraicity criteria, invariant subvarities and transcendence problems from arithmetic dynamics
. Peking Mathematical Journal [Internet]. 2024;7(1):345-398.
pdf
2023
Ji Z, Xie J
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Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics
. Forum of Mathematics, Pi [Internet]. 2023;Volume 11.
pdf
Cantat S, Regeta A, Xie J
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Families of commuting automorphisms, and a characterization of the affine space
. American Journal of Mathematics [Internet]. 2023;145(2): 413-434.
pdf
Jia J, Xie J, Zhang D-Q
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Surjective endomorphisms of projective surfaces - the existence of infinitely many dense orbits
. Mathematische Zeitschrift [Internet]. 2023;303(39).
pdf
Xie J
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Remarks on algebraic dynamics in positive characteristic
. Journal für die reine und angewandte Mathematik (Crelle), published on line [Internet]. 2023.
pdf
2022
Javanpeykar A, Xie J
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Finiteness properties of pseudo-hyperbolic varieties, International Mathematics Research Notices
. International Mathematics Research Notices [Internet]. 2022;2022(3):1601–1643.
arXiv:1909.12187
Cantat S, Paris-Romaskevich O, Xie J
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Free actions of Large groups on complex threefold
. Bulletin of London Mathematical Society [Internet]. 2022;54(5):1791-1803.
pdf
Xie J, Yuan X
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Geometric Bogomolov conjecture in arbitrary characteristics
. Inventiones mathematicae. [Internet]. 2022;229(2):607–637.
pdf
2021
Cantat S, Gao Z, Habegger P, Xie J
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The geometric Bogomolov conjecture
. Duke Math. J. [Internet]. 2021;170(2):247–277.
pdf
Cantat S, Déserti J, Xie J
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Three chapters on Cremona groups
. Indiana Univ. Math. J. [Internet]. 2021;70(5):2011-2064.
pdf
2020
Cantat S, Xie J
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On degrees of birational mappings
. Math. Res. Lett. [Internet]. 2020;27(2):319–337.
pdf
Ghioca D, Xie J
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The Dynamical Mordell-Lang Conjecture for skew-linear self-maps. Appendix by Michael Wibmer
. International Mathematics Research Notices [Internet]. 2020;2020(21): 7433–7453.
pdf
2018
Cantat S, Xie J
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Algebraic actions of discrete groups: the p-adic method
. Acta Mathematica [Internet]. 2018; 220(2):239-295.
pdf
Xie J
.
Algebraic dynamics of the lifts of Frobenius
. Algebra & Number Theory [Internet]. 2018;12(7):1715–1748.
pdf
Ghioca D, Xie J
.
Algebraic dynamics of skew-linear self-maps
. Proc. Amer. Math. Soc. [Internet]. 2018;146(10):4369–4387.
pdf
2017
Xie J
.
The dynamical Mordell-Lang conjecture for polynomial endomorphisms of the affine plane
. Astérisque [Internet]. 2017;394:vi+110.
pdf
Xie J
.
The existence of Zariski dense orbits for polynomial endomorphisms on the affine plane
. Compositio Mathematica [Internet]. 2017;153(8):1658-1672.
pdf
2015
Xie J
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Intersection of valuation rings in k[x,y]
. Proc. Lond. Math. Soc. (3) . 2015;111(1):240-274.
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最新科研成果
Numerical action for endomorphisms
The existence of Zariski dense orbits for endomorphisms of projective surfaces. With an appendix in collaboration with Thomas Tucker
Numerical spectrums control Cohomological spectrums
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