All Research
Mathematics
Algebra, linear algebra, calculus, probability, combinatorics, and discrete mathematics - the universal language of structure.
Linear AlgebraEigenvalues & EigenvectorsSVD & PCACalculusProbability TheoryCombinatoricsComplex NumbersOptimizationDiscrete Mathematics
Articles
3 publications in mathematics
·mathematics
Eigenvalue Distributions in Random Matrices
Exploring the semicircle law and its implications for spectral analysis of large-dimensional systems. How random matrix theory provides statistical tools for understanding complex signal structures.
eigenvaluesrandom matricesspectral theory
·mathematics
Fourier Transform as Information Lens
The Fourier transform reveals hidden periodicities in time-domain signals. We examine how frequency decomposition serves as a fundamental tool for structural reconstruction.
fourierfrequency analysissignal processing
·mathematics
Information Geometry of Probability Distributions
Investigating the Riemannian structure of statistical manifolds and how Fisher information defines natural distances between probability distributions in signal spaces.
information geometryFisher informationprobability