Papers and preprints
The arXiv version may be slightly outdated.
26. Joint with F. Bianchi, On large entropy measures. In preparation.
25. Rigidity for polynomial skew products. In preparation.
24. Joint with F. Bianchi, History-dependent unstable directions and the Binder--DeMarco conjecture. [arXiv:2610.05602].
23. Joint with F. Bianchi, Joining rigidity for rational maps. [arXiv:2609:14890].
22. Joint with C. Wu, Tropicalizing polynomial strata. [arXiv:2607.15473].
21. Joint with F. Bianchi, A thermodynamic path metric for complex Hénon maps. [arXiv:2606.29363].
20. Joint with N. Dalaklis, Complex Diophantine approximations and cusp excursions. [arXiv:2605.31502].
19. Joint with F. Bianchi, A Ruelle--McMullen formula for the volume dimension of skew products in C^2. [arXiv:2603.06475].
18. Joint with N. Dalaklis, Multifractal analysis of equilibrium states of endomorphisms of P^k. [arXiv:2512.08696]
17. Joint with H. Nie, On a metric view of the polynomial shift locus. [arXiv: 2311.11399]
16. Joint with C. Wu, Relative train tracks and generalized endperiodic graph maps. To appear J. London Math. Soc. [arXiv:2408.13401]
15. Joint with H. Lee and I. Park, Complex analytic theory on the space of Blaschke products: Simultaneous uniformization and Weil--Petersson metric. To appear Int. Math. Res. Not. IMRN. [arXiv:2507.17077]
14. Joint with F. Bianchi, Analyticity of the Hausdorff dimension and metric structures on Misiurewicz families of polynomials. To appear J. London Math. Soc. [arXiv:2508.12493]
13. Joint with C. Wu, Basmajian-type identities over non-Archimedean local fields. To appear Trans. Amer. Math. Soc. [arXiv:2212.09992]
12. Joint with F. Bianchi, Manhattan curves in complex dynamics and asymptotic correlation of multiplier spectra. To appear New Directions in Ergodic Theory and Dynamical Systems: A Volume in Honor of Manfred Denker, Contemp. Math. [arXiv:2508.12490]
11. Joint with F. Bianchi, Pressure path metrics for parabolic families of polynomials. To appear Indiana Univ. Math. J. [arXiv:2409.10462]
10. Joint with H. Lee and I. Park, Pressure metrics in geometry and dynamics. To appear Shishikura Proceedings. [arXiv:2407.18441]
9. Joint with F. Bianchi, A Mañé-Manning formula for expanding measures for endomorphisms of P^k. Trans. Amer. Math. Soc. 377 (2024), no. 11, 8179–8219. [arXiv:2308.03013]
8. Joint with L. Chen, Non-realizability of some big mapping class groups. Proc. AMS 152 (2024), 4503-4514. [arXiv:2111.08583]
7. Joint with H. Nie, Quantitative equidistribution of angles of multipliers. Fund. Math. 257 (2022), no. 1,95–113. [pdf]
6. Joint with C. Wolf, Entropy spectrum of rotation classes. J. Math. Anal. Appl. 508 (2022), no. 1, 12 pp. [pdf]
5. Joint with H. Nie, A Riemannian metric on hyperbolic components. Math. Res. Lett. 30 (2023), no. 3, 733–764. [pdf]
4. Identities for hyperconvex Anosov representations. J. Topol. Anal. 16 (2024), no. 4, 617-640. [pdf]
3. Prime number theorems for Basmajian-type identities. [pdf | arXiv: 1811.05367]
2. On the displacement of generators of free Fuchsian groups. Geometriae Dedicata, 200 (2019), 255-264. [pdf]
1. Basmajian-type identities and Hausdorff dimension of limit sets. Ergodic Theory and Dynamical Systems, 38 (2018), 2224-2244. [pdf]
Not for publication
I passed my Topic Exam in March 2014 and here is my topic proposal.