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8 papers · 1 filter
Asymptotic Positivity of Hurwitz Product Traces: Two Proofs
Christian Fleischhack, Shmuel Friedland
Consider the polynomial in for positive hermitian matrices and with . The Bessis-Moussa-Villani conjecture (in the equivalent form of Lieb and…
Zero-class admissibility of observation operators
B. Jacob, J. R. Partington, S. Pott
An admissible observation operator is zero-class admissible if the norm of the output map tends to zero as the time tends to zero. Sufficient and necessary conditions for zero-clas…
Invariant manifolds for analytic dynamical systems over ultrametric fields
Helge Glockner
We give an exposition of the theory of invariant manifolds around a fixed point, in the case of time-discrete, analytic dynamical systems over a complete ultrametric field K. Typic…
Analytic Mappings Between LB-spaces and Applications in Infinite-Dimensional Lie Theory
Rafael Dahmen
We give a sufficient criterion for complex analyticity of nonlinear maps defined on direct limits of normed spaces. This tool is then used to construct new classes of (real and com…
Kolmogorov Complexity Theory over the Reals
Martin Ziegler, Wouter M. Koolen
Kolmogorov Complexity constitutes an integral part of computability theory, information theory, and computational complexity theory -- in the discrete setting of bits and Turing ma…
Parametric Integer Programming in Fixed Dimension
Friedrich Eisenbrand, Gennady Shmonin
We consider the following problem: Given a rational matrix $A \in \setQ^{m \times n}$ and a rational polyhedron $Q \subseteq\setR^{m+p}$, decide if for all vectors $b \in \setR^m$,…