3 papers
stat.ME2024
Principles of Statistical Inference in Online Problems
Man Fung Leung, Kin Wai Chan
To investigate a dilemma of statistical and computational efficiency faced by long-run variance estimators, we propose a decomposition of kernel weights in a quadratic form and som…
math.NT2024
Zeta-functions of Curves over Finite Fields
Kin Wai Chan
Curves over finite fields are of great importance in cryptography and coding theory. Through studying their zeta-functions, we would be able to find out vital arithmetic and geomet…
math.DG2024
Survey on the Canonical Metrics on the Teichmüller Spaces and the Moduli Spaces of Riemann Surfaces
Kin Wai Chan
This thesis results from an intensive study on the canonical metrics on the Teichmüller spaces and the moduli spaces of Riemann surfaces. There are several renowned classical metr…