Add to ORKGWe present exact results for two complementary measures of spatial structure generated by 1D spin systems with finite-range interactions. The first, excess entropy, measures the apparent spatial memory stored in configurations. The second, statistical complexity, measures the amount of memory needed to optimally predict the chain of spin values. These statistics capture distinct properties and are different from existing thermodynamic quantities
Complex systems are characterised by a tight, nontrivial interplay of their constituents, which give...
Abstract. To describe quantitatively the complexity of two-dimensional patterns we introduce a compl...
© 2017 by the authors. Collective organization in matter plays a significant role in its expressed p...
We compare and contrast three different, but complementary views of “structure” and “pattern” in spa...
We compare and contrast three different, but complementary views of "structure" and "pattern" in spa...
We review several statistical complexity measures proposed over the last decade and a half as genera...
NOTICE: this is the author’s version of a work that was accepted for publication in 'Physical Letter...
The minimal memory required to model a given stochastic process - known as the statistical complexit...
Models can be simple for different reasons: because they yield a simple and computationally efficien...
We provide a detailed comparison between the dynamics of high-temperature spatiotemporal correlation...
We provide a detailed comparison between the dynamics of high-temperature spatiotemporal correlation...
We construct a complexity measure from first principles, as an average over the ‘‘obstruction agains...
In classical finite-range spin systems, especially those with disorder such as spin glasses, a low-t...
We apply information-theory based symbolic quantifiers, related to complexity studies, in order to i...
We introduce a quantum version for the statistical complexity measure, in the context of quantum inf...
Complex systems are characterised by a tight, nontrivial interplay of their constituents, which give...
Abstract. To describe quantitatively the complexity of two-dimensional patterns we introduce a compl...
© 2017 by the authors. Collective organization in matter plays a significant role in its expressed p...
We compare and contrast three different, but complementary views of “structure” and “pattern” in spa...
We compare and contrast three different, but complementary views of "structure" and "pattern" in spa...
We review several statistical complexity measures proposed over the last decade and a half as genera...
NOTICE: this is the author’s version of a work that was accepted for publication in 'Physical Letter...
The minimal memory required to model a given stochastic process - known as the statistical complexit...
Models can be simple for different reasons: because they yield a simple and computationally efficien...
We provide a detailed comparison between the dynamics of high-temperature spatiotemporal correlation...
We provide a detailed comparison between the dynamics of high-temperature spatiotemporal correlation...
We construct a complexity measure from first principles, as an average over the ‘‘obstruction agains...
In classical finite-range spin systems, especially those with disorder such as spin glasses, a low-t...
We apply information-theory based symbolic quantifiers, related to complexity studies, in order to i...
We introduce a quantum version for the statistical complexity measure, in the context of quantum inf...
Complex systems are characterised by a tight, nontrivial interplay of their constituents, which give...
Abstract. To describe quantitatively the complexity of two-dimensional patterns we introduce a compl...
© 2017 by the authors. Collective organization in matter plays a significant role in its expressed p...