index.md

+++ title = "Graduate Seminars - CUHK Analysis Group" descr = "Graduate Seminars in CUHK Analysis Group." tags = ["graduate"] +++

Graduate Seminars

This is an experimental page for the records of graduate seminars organized by \href{De-Jun Feng}{https://www.math.cuhk.edu.hk/~djfeng/}. This series of seminars preferring the research interests of the group will normally be held in Friday afternoons at LSB 219. All the files and resources are and shall be purely for academic use. All are welcome.

Upcoming

2024

• A series of seminars based on predetermined topics on Fridays at 3pm HKT in LSB 219.

Previous

2024*

• 03/29 Friday \venue{LSB 219}\ Yuhao Xie 谢宇昊

  • Feng, De-Jun & Shmerkin, Pablo. \href{Non-conformal repellers and the continuity of pressure for matrix cocycles}{https://doi.org/10.1007/s00039-014-0274-7}. Geom. Funct. Anal. , Vol. 24, No. 4 p. 1101-1128. 2014.
  • \collapsible{Summary}{\inputsmmry{2024/s240329.md}}
  • \href{Note}{https://drive.google.com/file/d/1I-S_qGptm3pLgLXQpe925ZT8kCNcmdi7}.

• 03/15 Friday \venue{LSB 219}\ Tianhan Yi 易天涵

  • Shmerkin, Pablo. \href{On the exceptional set for absolute continuity of Bernoulli convolutions}{https://doi.org/10.1007/s00039-014-0285-4}. Geom. Funct. Anal. , Vol. 24, No. 3 p. 946-958. 2014.
  • \href{Note}{https://drive.google.com/file/d/1QyIJ2SG9MCajx9uNlWP4ydSdwASCc5ln}.

• 03/01—03/08 Fridays \venue{LSB 219}\ Zhou Feng 冯洲

  • Bárány, Balázs; Käenmäki, Antti; Pyörälä, Aleksi & Wu, Meng. \href{Scaling limits of self-conformal measures}{}. Arxiv preprint, Arxiv: \href{2308.11399}{https://arxiv.org/abs/2308.11399}. 2023.
  • \collapsible{Summary}{\inputsmmry{2024/s240301.md}}
  • \href{Note}{https://drive.google.com/open?id=1jp8k5xAJwSUdtSA8gwaA64Ujde7nK0sP}.

• 02/23 Friday \venue{LSB 219}\ Lingmin Liao 廖灵敏

  • Affiliation: Wuhan University
  • Title: Hausdorff dimension of weighted singular vectors in the plane
  • \href{Poster}{https://drive.google.com/open?id=1tAbXiS21tY6hoI7seUDMIAD-aoWtFEXy}.

• 02/02 Friday \venue{LSB 219}\ Cai-Yun Ma 麻彩云

  • Algom, Amir. \href{Slicing theorems and rigidity phenomena for self-affine carpets}{https://doi.org/10.1112/plms.12325}. Proc. Lond. Math. Soc. (3) , Vol. 121, No. 2 p. 312-353. 2020.
  • \collapsible{Outline}{\inputoutln{2024/o240202.md}}
  • \href{Note}{https://drive.google.com/open?id=1ZZiFncqV8Inl5NGmedMjDett1lHlrR3c}.

• 01/29 Monday \venue{LSB 239}\ Jiagang Yang

  • Affiliation: Universidade Federal Fluminense, Brazil
  • Titile: Maximal transverse measures of expanding foliations
  • \collapsible{Abstract}{\inputoutln{2024/o240129.md}}

• 01/19 Friday \venue{LSB 239}\ De-Jun Feng 丰德军

  • Some new results about the weak separation condition.

2023

• 12/08 Friday \venue{LSB 222} \ Ching Wei Ho

  • Affiliation: Academia Sinica, Taiwan
  • Titile: Heat flow on random polynomials
  • \collapsible{Abstract}{\inputoutln{2023/o231208.md}}

• 11/10 Friday \venue{LSB 219}\ Jian-Ci Xiao 萧建慈

  • Baker, Simon. \href{Iterated function systems with super-exponentially close cylinders}{https://doi.org/10.1016/j.aim.2020.107548}. Adv. Math. , Vol. 379 p. 107548, 13. 2021.
  • \collapsible{Summary}{\inputsmmry{2023/s231110.md}}

• 10/13–11/03 Fridays \venue{LSB 219}\ Tianhan Yi 易天涵

  • Hochman, Michael. \href{On self-similar sets with overlaps and inverse theorems for entropy}{https://doi.org/10.4007/annals.2014.180.2.7}. Ann. of Math. (2) , Vol. 180, No. 2 p. 773-822. 2014.
  • \href{Note 1}{https://drive.google.com/open?id=1Jm9NA_nLxia9wNt6x-PIpGppC31pfaDB}, \href{Note 2}{https://drive.google.com/open?id=1N1-P2bOidaJdOgabjJ1dNKKEwbwxG2Cf}, \href{Note 3}{https://drive.google.com/open?id=1eaxy6knV8Vu1zKZ-V2ihm-d1fqxGqUlB}, \href{Note 4}{https://drive.google.com/open?id=1ntZ3_ostc7JVg-GbvRdPmCttLK7Jxdnb}.

• 10/06 Friday \venue{LSB 219}\ Lü Fan 吕凡

  • Lü, Fan & Wu, Jun. \href{Diophantine analysis in beta-dynamical systems and Hausdorff dimensions}{https://doi.org/10.1016/j.aim.2015.12.016}. Adv. Math. , Vol. 290 p. 919-937. 2016.
  • \collapsible{Outline}{\inputoutln{2023/o231006.md}}
  • \collapsible{Summary}{\inputsmmry{2023/s231006.md}}

• 09/22 — 09/29 Fridays \venue{LSB 219} \ Edouard Daviaud

  • Mass transference principle and diophantine approximation
  • \collapsible{Summary for 09/22}{\inputsmmry{2023/s230922.md}}
  • \collapsible{Summary for 09/29}{\inputsmmry{2023/s230929.md}}

• 08/28 Monday 14:30 - 15:30 \venue{LSB 222} \ Weikun He 何伟鲲

  • Affiliation: Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences
  • Titile: Dimension Theory of Groups of Circle Diffeomorphisms
  • \collapsible{Abstract}{\inputoutln{2023/o230828.md}}
  • \href{Poster}{https://www.math.cuhk.edu.hk/sites/default/files/seminar/files/20230822/as20230828_weikun_he.pdf}

• 08/17 Thursday \venue{LSB 222} \ Wai Kit Lam 林偉傑

  • Affiliation: National Taiwan University
  • Titile: On the Geometry of the Growing Ball of First-Passage Percolation
  • \collapsible{Abstract}{\inputoutln{2023/o230817.md}}
  • \href{Poster}{https://www.math.cuhk.edu.hk/sites/default/files/seminar/files/20230814/as20230817_lam_wai_kit.pdf}

• 08/07 16:00 - 17:00 Monday \venue{LSB 222}\ Ying XIONG 熊瑛

  • Affiliation: South China University of Technology
  • Title: Equidistribution for measures defined by digit restrictions
  • \collapsible{Abstract}{\inputoutln{2023/o230807xiong.md}}
  • \href{Poster}{https://www.math.cuhk.edu.hk/sites/default/files/seminar/files/20230803/as_20230807_ying_xiong.pdf}

• 08/07 14:30 - 15:30 Monday \venue{LSB 222}\ Xiong JIN 金雄

  • Affiliation: University of Manchester
  • Title: A Chung-Fuchs type theorem and degeneracy of critical Mandelbrot cascade measures
  • \collapsible{Abstract}{\inputoutln{2023/o230807jin.md}}
  • \href{Poster}{https://www.math.cuhk.edu.hk/sites/default/files/seminar/files/20230803/as_20230807_xiong_jin.pdf}

• 08/07 10:30 - 11:30 Monday \venue{LSB 222}\ Qi ZHOU 周麒

  • Affiliation: Nankai University
  • Title: Fractal problems in Quasiperiodic Schrodinger operator
  • \collapsible{Abstract}{\inputoutln{2023/o230807zhou.md}}
  • \href{Poster}{https://www.math.cuhk.edu.hk/sites/default/files/seminar/files/20230803/as_20230807_qi_zhou.pdf}

• 07/28 Friday \venue{LSB 222}\ Chun-Kit LAI 赖俊杰

  • Affiliation: San Francisco State University
  • Title: On Measure and Topological Erdős Similarity Problems
  • \collapsible{Abstract}{\inputoutln{2023/o230728.md}}
  • \href{Poster}{https://www.math.cuhk.edu.hk/sites/default/files/seminar/files/20230726/as_20230728_chun-kit_lai.pdf}

• 07/10 Monday \venue{LSB 222}\ Po Lam YUNG

  • Affiliation: Australian National University and The Chinese University of Hong Kong
  • Title: Some Recent Developments in Harmonic Analysis- \collapsible{Abstract}{\inputoutln{2023/o230710.md}}
  • \href{Poster}{https://www.math.cuhk.edu.hk/sites/default/files/seminar/files/20230704/c230710_plyung.pdf}

• 05/05 Friday \venue{LSB 222}\ Ai-Hua FAN 范爱华

  • Affiliation: Huazhong Normal University and Université de Picardie
  • Title: A Topological Version of the Furstenberg-Kesten Theorem
  • \collapsible{Abstract}{\inputoutln{2023/o230505.md}}
  • \href{Poster}{https://www.math.cuhk.edu.hk/sites/default/files/seminar/files/20230428/as_20230505_aihua_fan.pdf}

• 04/25 Tuesday \venue{LSB 219}\ Tianhan Yi

  • Hochman, Michael. \href{Lectures on dynamics, fractal geometry, and metric number theory}{http://math.huji.ac.il/~mhochman/preprints/bedlewo-notes.pdf}. J. Mod. Dyn. , Vol. 8, No. 3-4 p. 437-497. 2014.
  • \collapsible{Outline}{\inputoutln{2023/o230425.md}}
  • \collapsible{Summary}{\inputsmmry{2023/s230425.md}}

• 03/28 Tuesday \venue{LSB 219}\ Zhou Feng

  • Feng, De-Jun. \href{Equilibrium states for factor maps between subshifts}{https://doi.org/10.1016/j.aim.2010.09.012}. Adv. Math. , Vol. 226, No. 3 p. 2470-2502. 2011.
  • \collapsible{Outline}{\inputoutln{2023/o230328.md}}
  • \href{A note on the thermodynamic formalism.}{/assets/notes/nTF.pdf}\

• 03/21 Tuesday \venue{LSB 219}\ Yuhao Xie

  • Bowen, Rufus. \href{Equilibrium states and the ergodic theory of Anosov diffeomorphisms}{https://drive.google.com/open?id=1rJ5DWrXUXceeg80_pfG7uOa0QlFuO5W3}. Lecture Notes in Mathematics, Vol. 470 Springer-Verlag, Berlin-New York p. i+108. 1975.
  • \collapsible{Outline}{\inputoutln{2023/o230321.md}}

• 03/14 Tuesday \venue{LSB 219}\ Yuhao Xie

  • Cao, Yong-Luo; Feng, De-Jun & Huang, Wen. \href{The thermodynamic formalism for sub-additive potentials}{https://doi.org/10.3934/dcds.2008.20.639}. Discrete Contin. Dyn. Syst. , Vol. 20, No. 3 p. 639-657. 2008.
  • \collapsible{Outline}{\inputoutln{2023/o230314.md}}

• 03/14 Tuesday \venue{LSB 219}\ Caiyun Ma

  • Walters, Peter. \href{An introduction to ergodic theory}{}. Vol. 79, Graduate Texts in Mathematics Springer-Verlag, New York-Berlin p. ix+250. 1982.
  • \collapsible{Outline}{\inputoutln{2023/o230314a.md}}
  • \href{Note}{https://drive.google.com/open?id=1nS8YtSn0wt7Kur-0Spi6HWHtlPZRPnJc}.

2022

• 12/29 Thursday \venue{LSB 239}\ \href{Tongou Yang}{https://people.math.wisc.edu/~tyang347/} (UWisc)

  • Pramanik, Malabika; Yang, Tongou & Zahl, Joshua. \href{A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in ℝ^3}{https://arxiv.org/abs/2207.02259}. arXiv 2022.
  • \collapsible{Outline}{\inputoutln{2022/o221123.md}}

• 11/23 Wednesday \venue{LSB 239}\ Yuhao Xie

  • Kaufman, Robert. \href{On Hausdorff dimension of projections}{}. Mathematika , Vol. 15, No. 2 London Mathematical Society p. 153–155. 1968.
  • \collapsible{Outline}{\inputoutln{2022/o221123.md}}

• 9/24 — 12/9 Fridays \venue{LSB 222}\ \href{Károly Simon}{https://math.bme.hu/~simonk/}

  • A mini-course about fractal percolation and randomly perturbed self-affine sets.
  • \href{Course description}{/assets/refs/Course_description.pdf}

• 7/15 Friday \venue{LSB 219}\ Yuhao Xie

  • Peres, Yuval; Simon, Károly & Solomyak, Boris. \href{Self-similar sets of zero Hausdorff measure and positive packing measure}{https://doi.org/10.1007/BF02773577}. Israel J. Math. , Vol. 117 p. 353-379. 2000.
  • \collapsible{Outline}{\inputoutln{2022/o220715.md}}

• 4/22 — 4/29 Fridays \venue{Zoom}\ Yuji Li

  • Shepp, L. A.. \href{Covering the circle with random arcs}{https://doi.org/10.1007/BF02789327}. Israel J. Math. , Vol. 11 p. 328-345. 1972.
  • \href{Note}{https://drive.google.com/file/d/1XalyWk7SH8VQtcYHurab2Cqh0O-5w7Bi}.
  • \collapsible{Summary}{\inputsmmry{2022/s220429.md}}

• 4/15 Friday \venue{Zoom}\ Yuhao Xie

  • Morris, Ian D.. \href{On dense intermingling of exact overlaps and the open set condition}{https://arxiv.org/abs/2203.03408}. arXiv:2203.03408. 2022.
  • \href{Note}{https://drive.google.com/file/d/1v5lK8qfAdkvOV2TPyRcZLC9fDM0IW9Ka}
  • \collapsible{Outline}{\inputoutln{2022/o220415.md}}

• 3/11 — 4/1 Fridays \venue{Zoom}\ Jianci Xiao

  • Hochman, Michael. \href{On self-similar sets with overlaps and inverse theorems for entropy}{https://doi.org/10.4007/annals.2014.180.2.7}. Ann. of Math. (2) , Vol. 180, No. 2 p. 773-822. 2014.
  • \href{Note-1}{https://drive.google.com/file/d/1gvSviW4odYgpJZ4p6KG6CuopS5Cx9AZS}; \href{Note-2}{https://drive.google.com/file/d/1qgHfBeTMVPSg0m3dNzRKQvJHg3BCRxOn}; \href{Note-3}{https://drive.google.com/file/d/1yVvCjq4mXabcirDpt21NmmSpHIfNeYGP}; \href{Note-4}{https://drive.google.com/file/d/1AV46-ZB10cWD4JE7EFvx60OXqFbQgLrB}.

• 1/21 — 2/25 Fri. & Wed. \venue{LSB 222 & Zoom}\ Zhou Feng

  • Varjú, Péter P.. \href{Absolute continuity of Bernoulli convolutions for algebraic parameters}{https://doi.org/10.1090/jams/916}. J. Amer. Math. Soc. , Vol. 32, No. 2 p. 351-397. 2019.
  • \collapsible{Outline}{\inputoutln{2022/o220121.md}}
  • \noteref{Outline}{2022/220121/o220121.pdf}; \noteref{Key Theorems}{2022/220121/KeyThms.pdf}; \href{Average entropy examples}{/assets/notes/2022/220121/EntropyExamples.jl.html}.
  • \href{Notes}{https://mycuhk-my.sharepoint.com/:f:/g/personal/1155136793_link_cuhk_edu_hk/Et1amdqGKvZEjAKINOzU1-EBhBWiUXjiwPCPX52em8_wlA?e=YbnvNG}; Video recordings: \href{2/9}{https://cuhk.zoom.us/rec/share/wlM4uy931oOB96sczdsG-FtJtT6gKTQE_8M8ESeKj0JdNsaSTqP1mjoF6vpMuGfb.4I7mGWAocEl6weIO?startTime=1644387764000}; \href{2/11}{https://cuhk.zoom.us/rec/share/hyhVtL2l32R1X_UZtP3MicRbKeICpH3kUHCiTGiOg5txybKcuOZ-NetwSHjNWuq_.9GFTdvICKJbFFwm2?startTime=1644560660000}.

• 1/14 Friday \venue{LSB 222}\ Yuhao Xie

  • Morris, Ian D.. \href{When does an affine iterated function system preserve an affine subspace for all choices of translation vectors?}{https://arxiv.org/abs/2111.02324}. Arxiv preprint, Arxiv: \href{2111.02324}{https://arxiv.org/abs/2111.02324}. 2021.
  • \collapsible{Outline}{\inputoutln{2022/o220114.md}}

2021

• 11/12 — 12/3 Fridays \venue{LSB 222}\ Tianhan Yi

  • Wu, Meng. \href{A proof of Furstenberg's conjecture on the intersections of × p- and × q-invariant sets}{https://www.jstor.org/stable/pdf/10.4007/annals.2019.189.3.2.pdf}. Ann. of Math. (2) , Vol. 189, No. 3 p. 707-751. 2019.
  • \href{Notes}{https://drive.google.com/file/d/1Ea5COunQIRirT1zKF3qGv7MCho4hSgWU/view?usp=sharing}

• 10/15 — 11/5 Fridays \venue{LSB 222}\ Caiyun Ma

  • Shmerkin, P. Ergodic Geometric Measure Theory. Lecture notes (Please contact members to get the unpublished notes).
  • \collapsible{Outline}{\inputoutln{2021/o211105.md}}

• 9/17 — 9/24 Fridays \venue{LSB 222}\ Yuhao Xie

  • Feng, D.-J.; Huang, W. & Rao, H. \href{Affine embeddings and intersections of Cantor sets}{https://www.sciencedirect.com/science/article/pii/S002178241400035X?via%3Dihub}. J. Math. Pures Appl. (9), 2014, 102, 1062-1079
  • \collapsible{9/17 Outline}{\inputoutln{2021/o210917.md}}
  • \collapsible{9/24 Outline}{\inputoutln{2021/o210924.md}}

• 8/27 Friday \venue{LSB 222}\ Yuhao Xie

  • Bary, N. K. \href{A treatise on trigonometric series. Vols. I, II. Chp1}{/assets/refs/Bary1964_Chp1.pdf}. The Macmillan Co., New York, 1964, Vol. I: xxiii+553 pp. Vol. II: xix+508.
  • \collapsible{Outline}{\inputoutln{2021/o210827.md}}
  • \collapsible{Summary}{\inputsmmry{2021/s210827.md}}

• 8/20 Friday \venue{LSB 222}\ Yuhao Xie

  • Feng, D.-J.; Rao, H. & Wang, Y. \href{Self-similar subsets of the Cantor set}{https://www.math.cuhk.edu.hk/~djfeng/fengpapers/Feng-Rao-Wang/FRW-2014-6.pdf}. Adv. Math., 2015, 281, 857-885
  • Salem, R. \href{Algebraic numbers and Fourier analysis}{/assets/refs/Salem1963_AlgNumAndFourier.pdf}. D. C. Heath and Co., Boston, Mass., 1963, x+68
  • \collapsible{Outline}{\inputoutln{2021/o210820.md}}
  • \collapsible{Summary}{\inputsmmry{2021/s210820.md}}