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Measuring anonymity with relative entropy
 In Proceedings of the 4th International Workshop on Formal Aspects in Security and Trust, volume 4691 of LNCS
, 2007
"... Abstract. Anonymity is the property of maintaining secret the identity of users performing a certain action. Anonymity protocols often use random mechanisms which can be described probabilistically. In this paper, we propose a probabilistic process calculus to describe protocols for ensuring anonymi ..."
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Abstract. Anonymity is the property of maintaining secret the identity of users performing a certain action. Anonymity protocols often use random mechanisms which can be described probabilistically. In this paper, we propose a probabilistic process calculus to describe protocols for ensuring anonymity, and we use the notion of relative entropy from information theory to measure the degree of anonymity these protocols can guarantee. Furthermore, we prove that the operators in the probabilistic process calculus are nonexpansive, with respect to this measuring method. We illustrate our approach by using the example of the Dining Cryptographers Problem. 1
Information theoretical properties of Tsallis entropies
 J. Math. Phys
, 2006
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Article Geometry of qExponential Family of Probability Distributions
, 2011
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Article Time Evolution of Relative Entropies for Anomalous Diffusion
, 2013
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Trace inequalities in nonextensive statistical mechanics
, 2006
"... Abstract. In this short paper, we establish a variational expression of the Tsallis relative entropy. In addition, we derive a generalized thermodynamic inequality and a generalized PeierlsBogoliubov inequality. Finally we give a generalized GoldenThompson inequality. ..."
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Abstract. In this short paper, we establish a variational expression of the Tsallis relative entropy. In addition, we derive a generalized thermodynamic inequality and a generalized PeierlsBogoliubov inequality. Finally we give a generalized GoldenThompson inequality.
A note on a parametrically extended entanglementmeasure due to Tsallis relative entropy
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On MeasureTheoretic aspects of Nonextensive Entropy Functionals and corresponding Maximum Entropy Prescriptions
"... Shannon entropy of a probability measure P, defined as − � dP dP X dµ ln dµ dµ on a measure space (X,M,µ), is not a natural extension from the discrete case. However, maximum entropy (ME) prescriptions of Shannon entropy functional in the measuretheoretic case are consistent with those for the disc ..."
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Shannon entropy of a probability measure P, defined as − � dP dP X dµ ln dµ dµ on a measure space (X,M,µ), is not a natural extension from the discrete case. However, maximum entropy (ME) prescriptions of Shannon entropy functional in the measuretheoretic case are consistent with those for the discrete case. Also it is well known that KullbackLeibler relative entropy can be extended naturally to measuretheoretic case. In this paper, we study the measuretheoretic aspects of nonextensive (Tsallis) entropy functionals and discuss the ME prescriptions. We present two results in this regard: (i) we prove that, as in the case of classical relativeentropy, the measuretheoretic definition of Tsallis relativeentropy is a natural extension of its discrete case, and (ii) we show that MEprescriptions of measuretheoretic Tsallis entropy are consistent with the discrete case with respect to a particular instance of ME.
A characterization of the Tsallis relative entropy by the generalized properties
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K.Kuriyama, A generalized Fannes’ inequality
 Journal of Inequalities in Pure and Applied Mathematics, Vol.8(2007), Issue 1, Article
"... vol. 8, iss. 1, art. 5, 2007 Title Page ..."
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