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8 papers
Limit theorems for free multiplicative convolutions
Hari Bercovici, Jiun-Chau Wang
We determine the distributional behavior for products of free random variables in a general infinitesimal triangular array. In the case of positive variables, the main theorem exte…
Language embeddings that preserve staging and safety
Todd L. Veldhuizen
We study embeddings of programming languages into one another that preserve what reductions take place at compile-time, i.e., staging. A certain condition -- what we call a `Turing…
Sharp pointwise bounds for perturbed viscous shock waves
Peter Howard, Mohammadreza Raoofi, Kevin Zumbrun
Refining previous work in \cite{Z.3, MaZ.3, Ra, HZ, HR}, we derive sharp pointwise bounds on behavior of perturbed viscous shock profiles for large-amplitude Lax or overcompressive…
Uniform stability estimates for constant-coefficient symmetric hyperbolic boundary value problems
Olivier Gues, Guy Metivier, Mark Williams +1
Answering a question left open in \cite{MZ2}, we show for general symmetric hyperbolic boundary problems with constant coefficients, including in particular systems with characteri…
The Higher Connectivity of Intersections of Real Quadrics
Michael Larsen, Ayelet Lindenstrauss
A linear system of real quadratic forms defines a real projective variety. The real non-singular locus of this variety (more precisely of the underlying scheme) has a highly connec…
The Effects of Metallicity and Grain Size on Gravitational Instabilities in Protoplanetary Disks
Kai Cai, Richard H. Durisen, Scott Michael +4
Observational studies show that the probability of finding gas giant planets around a star increases with the star's metallicity. Our latest simulations of disks undergoing gravita…