S. Kim

activity

20152023

most citedThird quantization for bosons: symplectic diagonalization, non-Hermitian Hamiltonian, and symmetries

6 citations · 10 across the 6 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.PR2015

Large deviations for random projections of $ℓ^{p}$ balls

Nina Gantert, Steven Soojin Kim, Kavita Ramanan

Let $p \in [1, \infty]$ . Consider the projection of a uniform random vector from a suitably normalized $ℓ^{p}$ ball in $R^{n}$ onto an independent random vector from the unit…

math.PR2015★ 1 cited

A conditional limit theorem for high-dimensional $ℓ^{p}$ spheres

Steven Soojin Kim, Kavita Ramanan

The study of high-dimensional distributions is of interest in probability theory, statistics and asymptotic convex geometry, where the object of interest is the uniform distributio…

math.PR2015

Cramér's theorem is atypical

Nina Gantert, Steven Soojin Kim, Kavita Ramanan

The empirical mean of $n$ independent and identically distributed (i.i.d.) random variables $(X_{1}, \dots, X_{n})$ can be viewed as a suitably normalized scalar projection of the $n$ -di…

Large deviations for random projections of ℓp balls

A conditional limit theorem for high-dimensional ℓp spheres

Cramér's theorem is atypical

Large deviations for random projections of $ℓ^{p}$ balls

A conditional limit theorem for high-dimensional $ℓ^{p}$ spheres