Test of the Fluctuation Relation in lagrangian turbulence on a free surface. Abstract The statistics of velocity divergence are studied for an assembly of particles that float on a closed turbulent fluid. Under an appropriate definition of entropy, the two-dimensional lagrangian velocity divergence of a particle trajectory represents the local entropy rate ˙ S, a random variable in time. The st...

variously referred to as source coding, lossless coding, noiseless coding or entropy coding exactly and without error, the original message. Lossless coding implies that the message may be decoded back to the original sequence of symbols. The converse of lossless coding (“lossy” coding) implies some degree of approximation of the original message. lossless coding may augment lossy coding, eg VQ...

It is well established that the notion of min-entropy fails to satisfy the chain rule of the form H(X,Y ) = H(X|Y )+ H(Y ), known for Shannon Entropy. The lack of a chain rule causes a lot of technical difficulties, particularly in cryptography where the chain rule would be a natural way to analyze how min-entropy is split among smaller blocks. Such problems arise for example when constructing ...

Standard parameters of heart rate variability are restricted in measuring linear effects, whereas nonlinear descriptions often suffer from the curse of dimensionality. An approach which might be capable of assessing complex properties is the calculation of entropy measures from normalised periodograms. Two concepts, both based on autoregressive spectral estimations are introduced here. To test ...

New entropy measures have been recently introduced for the quantification of the complexity of networks. Most of these entropy measures apply to static networks or to dynamical processes defined on static complex networks. In this paper we define the entropy rate of growing network models. This entropy rate quantifies how many labeled networks are typically generated by the growing network mode...

A new method for inferring specific stochastic grammars is presented. The process called Hybrid Model Learner (HML) applies entropy rate to guide the agglomeration process of type ab->c. Each rule derived from the input sequence is associated with a certain entropy-rate difference. A grammar automatically inferred from an example sequence can be used to detect and recognize similar structures i...

Information-theoretic methods have been widely used in neuroscience, in the broad effort to analyze and understand the fundamental informationprocessing tasks performed by the brain. In these studies, the entropy has been adopted as the main measure for quantifying the amount of information transmitted between neurons, via the spike trains they generate. One of the first and most important goal...

We derive the relative entropy between two Markov transition rate matrices from sample path considerations. This relative entropy is interpreted as a \level 2.5" large deviations action functional. That is, the level two large deviations action functional for empirical distributions of continuous-time Markov chains can be derived from the relative entropy using the contraction mapping principle...

We investigate quantum dynamical systems defined on a finite-dimensional Hilbert space and subjected to an interaction with an environment. The rate of decoherence of initially pure states, measured by the increase of their von Neumann entropy, averaged over an ensemble of random pure states, is proved to be bounded from above by the partial entropy used to define the ALF-dynamical entropy. The...