Tags

A topic directory of articles across the site.

number theory

2026-08-23How Irrational Rotations Fill the Circle?
#real analysis
This post explores the equidistribution of irrational rotation and Liouville's theorem connects gap sizes with rational approximation of algebraic numbers.
2026-08-05Three Theorems in Number Theory
Elementary proofs of Fermat's little theorem, Wilson's theorem, and sum of two squares theorem.

operator theory

2023-04-28Continuity of Covariance Operator
#stochastic analysis
A short discussion on deriving the joint continuity of covariance operators without invoking Kolmogorov's continuity theorem.

real analysis

2026-08-23How Irrational Rotations Fill the Circle?
#number theory
This post explores the equidistribution of irrational rotation and Liouville's theorem connects gap sizes with rational approximation of algebraic numbers.

stochastic analysis

2023-04-28Continuity of Covariance Operator
#operator theory
A short discussion on deriving the joint continuity of covariance operators without invoking Kolmogorov's continuity theorem.