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12 papers · 1 filter
Sparsity in time-frequency representations
Goetz E. Pfander, Holger Rauhut
We consider signals and operators in finite dimension which have sparse time-frequency representations. As main result we show that an -sparse Gabor representation in $\mathbb{C…
Two distinct logical types of network control in gene expression profiles
Carsten Marr, Marcel Geertz, Marc-Thorsten Huett +1
In unicellular organisms such as bacteria the same acquired mutations beneficial in one environment can be restrictive in another. However, evolving Escherichia coli populations de…
On the Low-lying zeros of Hasse-Weil L-functions for Elliptic Curves
Stephan Baier, Liangyi Zhao
In this paper, we obtain an unconditional density theorem concerning the low-lying zeros of Hasse-Weil L-functions for a family of elliptic curves. From this together with the Riem…
Macroscopic Screening of Coulomb Potentials From UV/IR-Mixing
Robert C. Helling, Jiangyang You
We compute the static potential in a non-commutative theory including a term due to UV/IR-mixing. As a result, the potential decays exponentially fast with distance rather than lik…
On the invertibility of "rectangular" bi-infinite matrices and applications in time--frequency analysis
Goetz E. Pfander
Finite dimensional matrices having more columns than rows have no left inverses while those having more rows than columns have no right inverses. We give generalizations of these s…
MAGMA: a 3D, Lagrangian magnetohydrodynamics code for merger applications
S. Rosswog, D. Price
We present a new, completely Lagrangian magnetohydrodynamics code that is based on the SPH method. The equations of self-gravitating hydrodynamics are derived self-consistently fro…