Papers and preprints 

The arXiv version may be slightly outdated.

19. Joint with F. Bianchi, Derivatives of the volume dimension for polynomial skew products. In preparation.

18. Joint with N. Dalaklis, Multifractal analysis of equilibrium states of endomorphisms of P^k. [arXiv:2512.08696]

17. Joint with F. Bianchi, Manhattan curves in complex dynamics and asymptotic correlation of multiplier spectra. [arXiv:2508.12490]

16. Joint with F. Bianchi, Analyticity of the Hausdorff dimension and metric structures on Misiurewicz families of polynomials. [arXiv:2508.12493]

15. Joint with H. Lee and I. Park, Complex analytic theory on the space of Blaschke products: Simultaneous

uniformization and the pressure metric. [arXiv:2507.17077]

14. Joint with C. Wu, Relative train tracks and generalized endperiodic graph maps. [arXiv:2408.13401] 

13. Joint with H. Nie, On a metric view of the polynomial shift locus. [arXiv: 2311.11399]

12. Joint with C. Wu, Basmajian-type identities over non-Archimedean local fields. [arXiv:2212.09992]

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Not for publication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.