74 citations · 185 across the 12 of their papers we have counts for
12 papers
Sequential Recurrence-Based Multidimensional Universal Source Coding of Lempel-Ziv Type
Tyll Krueger, Guido Montufar, Ruedi Seiler +1
We define an algorithm that parses multidimensional arrays sequentially into mainly unrepeated but nested multidimensional sub-arrays of increasing size, and show that the resultin…
Universally Typical Sets for Ergodic Sources of Multidimensional Data
Tyll Krueger, Guido Montufar, Ruedi Seiler +1
We lift important results about universally typical sets, typically sampled sets, and empirical entropy estimation in the theory of samplings of discrete ergodic information source…
Typical support and Sanov large deviations of correlated states
I. Bjelakovic, J. -D. Deuschel, T. Krueger +3
Discrete stationary classical processes as well as quantum lattice states are asymptotically confined to their respective typical support, the exponential growth rate of which is g…
Induced gelation in a two-site spatial coagulation model
Rainer Siegmund-Schultze, Wolfgang Wagner
A two-site spatial coagulation model is considered. Particles of masses and at the same site form a new particle of mass at rate . Independently, particles jump t…
Entropy and Quantum Kolmogorov Complexity: A Quantum Brudno's Theorem
Fabio Benatti, Tyll Krueger, Markus Mueller +2
In classical information theory, entropy rate and Kolmogorov complexity per symbol are related by a theorem of Brudno. In this paper, we prove a quantum version of this theorem, co…
A quantum version of Sanov's theorem
I. Bjelakovic, J. -D. Deuschel, T. Krueger +3
We present a quantum extension of a version of Sanov's theorem focussing on a hypothesis testing aspect of the theorem: There exists a sequence of typical subspaces for a given set…