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16 papers · 1 filter
The phase-space density distribution of dark matter halos
Liliya L. R. Williams, Crystal Austin, Eric Barnes +2
High resolution N-body simulations have all but converged on a common empirical form for the shape of the density profiles of halos, but the full understanding of the underlying ph…
Quivers, long exact sequences and Horn type inequalities
Calin Chindris
We give necessary and sufficient inequalities for the existence of long exact sequences of m finite abelian p-groups with fixed isomorphy types. This problem is related to some gen…
When is a Schubert variety Gorenstein?
Alexander Woo, Alexander Yong
A (normal) variety is Gorenstein if it is Cohen-Macualay and its canonical sheaf is a line bundle. This property, which measures the ``pathology'' of the singularities of a variety…
Dynamics of a Coupled Atmosphere-Ocean Model
Hongjun Gao, Jinqiao Duan
We consider a coupled atmosphere-ocean model, which involves hydrodynamics, thermodynamics and nonautonomous interaction at the air-sea interface. First, we show that the coupled a…
Gromov-Witten Invariants for Abelian and Nonabelian Quotients
Aaron Bertram, Ionut Ciocan-Fontanine, Bumsig Kim
We make precise conjectures relating the genus zero Gromov-Witten theory of a nonabelian GIT quotient X//G to that of the associated abelian quotient X//T by a maximal torus T in G…
Concentration of permanent estimators for certain large matrices
Shmuel Friedland, Brian Rider, Ofer Zeitouni
Let A_n=(a_{ij})_{i,j=1}^n be an n\times n positive matrix with entries in [a,b], 0<a\le b. Let X_n=(\sqrta_{ij}x_{ij})_{i,j=1}^n be a random matrix, where {x_{ij}} are i.i.d. N(0,…