Papers and preprints
The arXiv version may be slightly outdated. A publication list can be found in my CV.
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.