6 citations · 10 across the 6 of their papers we have counts for
7 papers
Third quantization for bosons: symplectic diagonalization, non-Hermitian Hamiltonian, and symmetries
Steven Kim, Fabian Hassler
Open quantum systems that interact with a Markovian environment can be described by a Lindblad master equation. The generator of time-translation is given by a Liouvillian superope…
Radiation statistics of a degenerate parametric oscillator at threshold
Fabian Hassler, Steven Kim, Lisa Arndt
As a function of the driving strength, a degenerate parametric oscillator exhibits an instability at which spontaneous oscillations occur. Close to threshold, both the nonlinearity…
Large deviation principles induced by the Stiefel manifold, and random multi-dimensional projections
Steven Soojin Kim, Kavita Ramanan
Given an -dimensional random vector , for , consider its -dimensional projection , where is an -dimen…
An asymptotic thin shell condition and large deviations for random multidimensional projections
Steven Soojin Kim, Yin-Ting Liao, Kavita Ramanan
Consider the projection of an -dimensional random vector onto a random -dimensional basis, , drawn uniformly from the Haar measure on the Stiefel manifold of or…
Large deviations for random projections of balls
Nina Gantert, Steven Soojin Kim, Kavita Ramanan
Let . Consider the projection of a uniform random vector from a suitably normalized ball in onto an independent random vector from the unit…
A conditional limit theorem for high-dimensional 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…
Cramér's theorem is atypical
Nina Gantert, Steven Soojin Kim, Kavita Ramanan
The empirical mean of independent and identically distributed (i.i.d.) random variables can be viewed as a suitably normalized scalar projection of the -di…