4.2k citations · 9.8k across the 134 of their papers we have counts for
11 papers · 1 filter
Some comments on computational mechanics, complexity measures, and all that
Peter Grassberger
We comment on some conceptual and and technical problems related to computational mechanics, point out some errors in several papers, and straighten out some wrong priority claims.…
Randomness, Information, and Complexity
Peter Grassberger
We review possible measures of complexity which might in particular be applicable to situations where the complexity seems to arise spontaneously. We point out that not all of them…
Comment on "Dynamic Opinion Model and Invasion Percolation"
A. Sattari, M. Paczuski, P. Grassberger
In J. Shao et al., PRL 103, 108701 (2009) the authors claim that a model with majority rule coarsening exhibits in d=2 a percolation transition in the universality class of invasio…
Percolation Theory on Interdependent Networks Based on Epidemic Spreading
Seung-Woo Son, Golnoosh Bizhani, Claire Christensen +2
We consider percolation on interdependent locally treelike networks, recently introduced by Buldyrev et al., Nature 464, 1025 (2010), and demonstrate that the problem can be simpli…
Are Percolation Transitions always Sharpened by Making Networks Interdependent?
Seung-Woo Son, Peter Grassberger, Maya Paczuski
We study a model for coupled networks introduced recently by Buldyrev et al., Nature 464, 1025 (2010), where each node has to be connected to others via two types of links to be vi…
Exact solutions for mass-dependent irreversible aggregations
Seung-Woo Son, Claire Christensen, Golnoosh Bizhani +2
We consider the mass-dependent aggregation process (k+1)X -> X, given a fixed number of unit mass particles in the initial state. One cluster is chosen proportional to its mass and…
Irreversible Aggregation and Network Renormalization
Seung-Woo Son, Golnoosh Bizhani, Claire Christensen +2
Irreversible aggregation is revisited in view of recent work on renormalization of complex networks. Its scaling laws and phase transitions are related to percolation transitions s…
Lower Bounds on Mutual Information
David V. Foster, Peter Grassberger
We correct claims about lower bounds on mutual information (MI) between real-valued random variables made in A. Kraskov {\it et al.}, Phys. Rev. E {\bf 69}, 066138 (2004). We show…
Networks of Recurrent Events, a Theory of Records, and an Application to Finding Causal Signatures in Seismicity
J. Davidsen, P. Grassberger, M. Paczuski
We propose a method to search for signs of causal structure in spatiotemporal data making minimal a priori assumptions about the underlying dynamics. To this end, we generalize the…
Spectral Mixture Decomposition by Least Dependent Component Analysis
Sergey A. Astakhov, Harald Stögbauer, Alexander Kraskov +1
A recently proposed mutual information based algorithm for decomposing data into least dependent components (MILCA) is applied to spectral analysis, namely to blind recovery of con…
Data Compression and Entropy Estimates by Non-sequential Recursive Pair Substitution
Peter Grassberger
We argue that Non-sequential Recursive Pair Substitution (NSRPS) as suggested by Jiménez-Montaño and Ebeling can indeed be used as a basis for an optimal data compression algorithm…