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Titlebook: Discrete Stochastic Processes and Applications; Jean-François Collet Textbook 2018 Springer International Publishing AG, part of Springer

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https://doi.org/10.1007/978-3-319-74018-8Markov processes; Brownian motion; Perron-Frobenius theorem; Poisson process; information theory; search
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978-3-319-74017-1Springer International Publishing AG, part of Springer Nature 2018
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Discrete Stochastic Processes and Applications978-3-319-74018-8Series ISSN 0172-5939 Series E-ISSN 2191-6675
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Robert Śmigielski,Bertram Zarinsd applications to information theory. In particular, a certain number of classical convexity inequalities (such as Jensen’s and Young’s inequalities) are presented in a unified framework thanks to the use of Bregman’s divergences.
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Prelude: a user’s guide to convexityd applications to information theory. In particular, a certain number of classical convexity inequalities (such as Jensen’s and Young’s inequalities) are presented in a unified framework thanks to the use of Bregman’s divergences.
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Application: binary codinging, we present the fundamental inequalities of Kraft and McMillan, and then in Theorem . we present the entropic bound for the length of uniquely decipherable codes. We only touch upon the aspects of coding that have to do with entropy; a more comprehensive presentation of coding theory may be found, for instance, in [24].
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