李智强

英文版 English version

北京大学北京国际数学研究中心

北京大学数学科学学院

助理教授

办公室	北京国际数学研究中心 78105W-1
答疑时间	预约
电邮	zli at math .pku .edu .cn

简介

我目前在北京大学北京国际数学研究中心 (BICMR) 和数学科学学院 (SMS) 担任助理教授。

2019年秋加入北京大学前，我在Misha Lyubich教授的指导下，在2015年秋季学期和2016年秋至2019年春，于纽约州立大学石溪分校的数学中心 (IMS)担任博士后讲师。2016年春季学期，我在布朗大学的数学计算与实验研究中心 (ICERM)进行博士后研究。

2015年，我在Mario Bonk教授的指导下，于UCLA取得博士学位。

教学

2020年秋: 高等数学A（一）

2021年春: 高等数学A（二）

2021年秋: 高等数学A（一）

2022年春: 复变函数

2022年秋: 高等数学A（一）

2023年春: 动力系统专题（英语授课）

2022年春: 复变函数

讨论班

Pacific Quasiworld (PKU，与Mario Bonk, 蒋云平, Mitsuhiro Shishikura共同组织)

Conformal dynamics and groups（PKU，与杨文元共同组织）

本科生复分析、复动力系统讨论班（2022年秋至今）（PKU，组织者）

Quasiworld（UCLA）

文老师讨论班（PKU）

Dynamics and Renormalization Seminar （SBU）

过往讨论班

本科生动力系统讨论班（2022年春）（PKU，与杨文元共同组织）

本科生动力系统讨论班（2020年秋-2021年春）（PKU，与甘少波、许地生共同组织）

研究兴趣

我的研究兴趣集中于动力系统和分形空间的几何性质的联系上，尤其是Thurston 映射和其他来自复动力系统的分支覆盖映射的动力系统和几何性质。

研究成果

Z. Li (with Juan Rivera-Letelier), Prime orbit theorems for Collet–Eckmann maps. In preparation.

Z. Li (with Pekka Pankka, Hanyun Zheng), Bonk–Meyer theorem for postcritically-finite uniformly quasiregular maps. In preparation.

Z. Li (with Zelai Hao, Yinying Huang, Oliver Jenkinson), Ergodic optimization for the β-transformations. In preparation.

Z. Li (with Yinying Huang,Oliver Jenkinson), Ground states and periodic orbits for the Gauss map. In preparation.

Z. Li (with Mario Bonk, Wenbo Li), On dynamical Kapovich–Kleiner conjecture. In preparation.

Z. Li (with Nils Hemmingsson, Xiaoran Li), Conformal measures of (anti)holomorphic correspondences. (arXiv: 2409.01361). 37 pages. (PDF)

Z. Li (with Ilia Binder, Qiandu He, Xianghui Shi), Computable thermodynamic formalism. Submitted.

Z. Li (with Yiqing Sun), Tropical thermodynamic formalism. Submitted, (arXiv:2408.10169). 49 pages. (PDF)

Z. Li (with Ruicen Qiu), General harmonic measures for distance-expanding dynamical systems. Submitted, (arXiv:2405.02987). 44 pages. (PDF)

Z. Li (with Xianghui Shi), Entropy density and large deviation principles without upper semi-continuity of entropy. Submitted, (arXiv:2406.01712). 59 pages. (PDF)

Z. Li (with Xianghui Shi), Thermodynamic formalism for subsystems of expanding Thurston maps II. Submitted, (arXiv:2404.07247). 46 pages. (PDF)

Z. Li (with Xianghui Shi, Yiwei Zhang), Thermodynamic formalism for subsystems of expanding Thurston maps and large deviations asymptotics. To appear in Proc. Lond. Math. Soc. (3), (arXiv: 2312.15822). 57 pages. (PDF)

Z. Li (with Xiaoran Li, Yiwei Zhang), Thermodynamic formalism for correspondences. Submitted, (arXiv: 2311.09397). 100 pages. (PDF)

Z. Li (with Hanyun Zheng), Weak expansion properties and a large deviation principle for coarse expanding conformal systems. Submitted, (arXiv:2311.07305). 38 pages. (PDF)

Z. Li (with Ilia Binder, Qiandu He, Yiwei Zhang), On computability of equilibrium states. Minor revision for Int. Math. Res. Not. IMRN, (arXiv: 2311.09374). 41 pages. (PDF)

Z. Li (with Jian Ding, Yiwei Zhang), On the prevalence of the periodicity of maximizing measures. Adv. Math. 438, 2024, 109485. 23 pages. (PDF)

Z. Li (with Yiwei Zhang), Ground states and periodic orbits for expanding Thurston maps. Math. Ann., 2024. https://doi.org/10.1007/s00208-024-03018-0. 73 pages. (PDF)

Z. Li (with Tianyi Zheng), Prime orbit theorems for expanding Thurston maps: Genericity of strong non-integrability condition. Adv. Math. 450, 2024, 109765. 32 pages. (PDF)

Z. Li (with Tianyi Zheng), Prime orbit theorems for expanding Thurston maps: Lattès maps and split Ruelle operators. Adv. Math. 449, 2024, 109723. 96 pages. (PDF)

Z. Li (with Tianyi Zheng), Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds. Adv. Math. 443, 2024, 109600. 89 pages. (PDF)

Z. Li, Ergodic theory of expanding Thurston maps, volume 4 of The Atlantis Series in Dynamical Systems, Atlantis Press (Springer), 2017. (PDF)

Z. Li, Weak expansion properties and large deviation principles for expanding Thurston Maps. Adv. Math. 285 (2015), 515–567. (PDF)

Z. Li, Equilibrium states for expanding Thurston maps. Comm. Math. Phys. 357 (2018), 811–872. (PDF)

Z. Li, Periodic points and the measure of maximal entropy of an expanding Thurston map. Trans. Amer. Math. Soc., 368 (2016), 8955–8999. (PDF)

B. Balamohan, S. Tanny and Z. Li, A Combinatorial Interpretation for Certain Relatives of the Conolly Sequence. J. Integer Seq., 11 (2008), Article 08.2.1. (PDF)

李智强

英文版 English version

北京大学北京国际数学研究中心

北京大学数学科学学院

助理教授

简介

我目前在北京大学北京国际数学研究中心 (BICMR) 和数学科学学院 (SMS) 担任助理教授。

2015年，我在Mario Bonk教授的指导下，于UCLA取得博士学位。

教学

2020年秋: 高等数学A（一）

2021年春: 高等数学A（二）

2021年秋: 高等数学A（一）

2022年春: 复变函数

2022年秋: 高等数学A（一）

2023年春: 动力系统专题（英语授课）

2022年春: 复变函数

讨论班

Pacific Quasiworld (PKU，与Mario Bonk, 蒋云平, Mitsuhiro Shishikura共同组织)

Conformal dynamics and groups（PKU，与杨文元共同组织）

本科生复分析、复动力系统讨论班（2022年秋至今）（PKU，组织者）

Quasiworld（UCLA）

文老师讨论班（PKU）

Dynamics and Renormalization Seminar （SBU）

过往讨论班

本科生动力系统讨论班（2022年春）（PKU，与杨文元共同组织）

本科生动力系统讨论班（2020年秋-2021年春）（PKU，与甘少波、许地生共同组织）

研究兴趣

我的研究兴趣集中于动力系统和分形空间的几何性质的联系上，尤其是Thurston 映射和其他来自复动力系统的分支覆盖映射的动力系统和几何性质。

研究成果

Z. Li (with Juan Rivera-Letelier), Prime orbit theorems for Collet–Eckmann maps. In preparation.

Z. Li (with Pekka Pankka, Hanyun Zheng), Bonk–Meyer theorem for postcritically-finite uniformly quasiregular maps. In preparation.

Z. Li (with Zelai Hao, Yinying Huang, Oliver Jenkinson), Ergodic optimization for the β-transformations. In preparation.

Z. Li (with Yinying Huang,Oliver Jenkinson), Ground states and periodic orbits for the Gauss map. In preparation.

Z. Li (with Mario Bonk, Wenbo Li), On dynamical Kapovich–Kleiner conjecture. In preparation.

Z. Li (with Nils Hemmingsson, Xiaoran Li), Conformal measures of (anti)holomorphic correspondences. (arXiv: 2409.01361). 37 pages. (PDF)

Z. Li (with Yiqing Sun), Tropical thermodynamic formalism. Submitted, (arXiv:2408.10169). 49 pages. (PDF)

Z. Li (with Ruicen Qiu), General harmonic measures for distance-expanding dynamical systems. Submitted, (arXiv:2405.02987). 44 pages. (PDF)

Z. Li (with Xianghui Shi), Entropy density and large deviation principles without upper semi-continuity of entropy. Submitted, (arXiv:2406.01712). 59 pages. (PDF)

Z. Li (with Xianghui Shi), Thermodynamic formalism for subsystems of expanding Thurston maps II. Submitted, (arXiv:2404.07247). 46 pages. (PDF)

Z. Li (with Xianghui Shi, Yiwei Zhang), Thermodynamic formalism for subsystems of expanding Thurston maps and large deviations asymptotics. To appear in Proc. Lond. Math. Soc. (3), (arXiv: 2312.15822). 57 pages. (PDF)

Z. Li (with Xiaoran Li, Yiwei Zhang), Thermodynamic formalism for correspondences. Submitted, (arXiv: 2311.09397). 100 pages. (PDF)

Z. Li (with Hanyun Zheng), Weak expansion properties and a large deviation principle for coarse expanding conformal systems. Submitted, (arXiv:2311.07305). 38 pages. (PDF)

Z. Li (with Ilia Binder, Qiandu He, Yiwei Zhang), On computability of equilibrium states. Minor revision for Int. Math. Res. Not. IMRN, (arXiv: 2311.09374). 41 pages. (PDF)

Z. Li (with Jian Ding, Yiwei Zhang), On the prevalence of the periodicity of maximizing measures. Adv. Math. 438, 2024, 109485. 23 pages. (PDF)

Z. Li (with Yiwei Zhang), Ground states and periodic orbits for expanding Thurston maps. Math. Ann., 2024. https://doi.org/10.1007/s00208-024-03018-0. 73 pages. (PDF)

Z. Li (with Tianyi Zheng), Prime orbit theorems for expanding Thurston maps: Genericity of strong non-integrability condition. Adv. Math. 450, 2024, 109765. 32 pages. (PDF)

Z. Li (with Tianyi Zheng), Prime orbit theorems for expanding Thurston maps: Lattès maps and split Ruelle operators. Adv. Math. 449, 2024, 109723. 96 pages. (PDF)

Z. Li (with Tianyi Zheng), Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds. Adv. Math. 443, 2024, 109600. 89 pages. (PDF)

Z. Li, Ergodic theory of expanding Thurston maps, volume 4 of The Atlantis Series in Dynamical Systems, Atlantis Press (Springer), 2017. (PDF)

Z. Li, Weak expansion properties and large deviation principles for expanding Thurston Maps. Adv. Math. 285 (2015), 515–567. (PDF)

Z. Li, Equilibrium states for expanding Thurston maps. Comm. Math. Phys. 357 (2018), 811–872. (PDF)

Z. Li, Periodic points and the measure of maximal entropy of an expanding Thurston map. Trans. Amer. Math. Soc., 368 (2016), 8955–8999. (PDF)

B. Balamohan, S. Tanny and Z. Li, A Combinatorial Interpretation for Certain Relatives of the Conolly Sequence. J. Integer Seq., 11 (2008), Article 08.2.1. (PDF)

关于我

简历

研究陈述

其他

小诗一首 (PDF)