10 citations · 12 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2014★ 10 cited
An Information-Theoretic Formalism for Multiscale Structure in Complex Systems
Benjamin Allen, Blake C. Stacey, Yaneer Bar-Yam
We develop a general formalism for representing and understanding structure in complex systems. In our view, structure is the totality of relationships among a system's components,…
math.FA2014
The Marr Conjecture and Uniqueness of Wavelet Transforms
Ben Allen, Mark Kon
The inverse question of identifying a function from the nodes (zeroes) of its wavelet transform arises in a number of fields. These include whether the nodes of a heat or hypoellip…
math.CT2008★ 2 cited
The Category-Theoretic Arithmetic of Information
Benjamin Allen
We highlight the underlying category-theoretic structure of measures of information flow. We present an axiomatic framework in which communication systems are represented as morphi…