Brasil, Jader E.; Knorst, Josué; Lopes, Artur O. Thermodynamic formalism for quantum channels: entropy, pressure, Gibbs channels and generic properties. (English) Zbl 1515.37032 Commun. Contemp. Math. 25, No. 4, Article ID 2150090, 41 p. (2023). MSC: 37D35 81P47 81Q10 81Q35 94A40 PDFBibTeX XMLCite \textit{J. E. Brasil} et al., Commun. Contemp. Math. 25, No. 4, Article ID 2150090, 41 p. (2023; Zbl 1515.37032) Full Text: DOI arXiv
Ramshaw, John D. Redefinition of the Boltzmann-Gibbs-Shannon entropy in systems with continuous states. (English) Zbl 1514.94023 J. Phys. A, Math. Theor. 53, No. 9, Article ID 095003, 14 p. (2020). MSC: 94A17 PDFBibTeX XMLCite \textit{J. D. Ramshaw}, J. Phys. A, Math. Theor. 53, No. 9, Article ID 095003, 14 p. (2020; Zbl 1514.94023) Full Text: DOI
Shi, Guanghua; Hansen, Frank Variational representations related to Tsallis relative entropy. (English) Zbl 1459.94078 Lett. Math. Phys. 110, No. 8, 2203-2220 (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 94A17 81P45 47A63 52A41 PDFBibTeX XMLCite \textit{G. Shi} and \textit{F. Hansen}, Lett. Math. Phys. 110, No. 8, 2203--2220 (2020; Zbl 1459.94078) Full Text: DOI arXiv
Jakšić, Vojkan Lectures on entropy. I: Information-theoretic notions. (English) Zbl 1452.81022 Bahns, Dorothea (ed.) et al., Open quantum systems. A mathematical perspective. Based on lectures given at the winter school on dynamical methods in open quantum systems, University of Göttingen, Göttingen, Germany, November 16–19, 2016. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 141-267 (2019). Reviewer: Ludwig Paditz (Dresden) MSC: 81P17 81S22 60-01 62B10 94A15 94A17 PDFBibTeX XMLCite \textit{V. Jakšić}, in: Open quantum systems. A mathematical perspective. Based on lectures given at the winter school on dynamical methods in open quantum systems, University of Göttingen, Göttingen, Germany, November 16--19, 2016. Cham: Birkhäuser. 141--267 (2019; Zbl 1452.81022) Full Text: DOI
Austin, Tim The structure of low-complexity Gibbs measures on product spaces. (English) Zbl 1444.60006 Ann. Probab. 47, No. 6, 4002-4023 (2019). MSC: 60B05 60G99 82B20 94A17 49Q22 PDFBibTeX XMLCite \textit{T. Austin}, Ann. Probab. 47, No. 6, 4002--4023 (2019; Zbl 1444.60006) Full Text: DOI arXiv Euclid
Ryazanov, V. V. Obtaining the thermodynamic relations for the Gibbs ensemble using the maximum entropy method. (English. Russian original) Zbl 1400.82089 Theor. Math. Phys. 194, No. 3, 390-403 (2018); translation from Teor. Mat. Fiz. 194, No. 3, 452-467 (2018). MSC: 82B30 94A17 44A10 PDFBibTeX XMLCite \textit{V. V. Ryazanov}, Theor. Math. Phys. 194, No. 3, 390--403 (2018; Zbl 1400.82089); translation from Teor. Mat. Fiz. 194, No. 3, 452--467 (2018) Full Text: DOI
Malgieri, Massimiliano; Onorato, Pasquale; De Ambrosis, Anna A study of the Boltzmann and Gibbs entropies in the context of a stochastic toy model. (English) Zbl 1412.80001 Eur. J. Phys. 39, No. 3, Article ID 035103, 16 p. (2018). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 80A05 94A17 82B30 82B20 PDFBibTeX XMLCite \textit{M. Malgieri} et al., Eur. J. Phys. 39, No. 3, Article ID 035103, 16 p. (2018; Zbl 1412.80001) Full Text: DOI
Kelbert, Mark; Stuhl, Izabella; Suhov, Yuri Weighted entropy and its use in computer science and beyond. (English) Zbl 1384.94017 Rykov, Vladimir V. (ed.) et al., Analytical and computational methods in probability theory. First international conference, ACMPT 2017, Moscow, Russia, October 23–27, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-71503-2/pbk; 978-3-319-71504-9/ebook). Lecture Notes in Computer Science 10684, 293-308 (2017). MSC: 94A17 68P30 PDFBibTeX XMLCite \textit{M. Kelbert} et al., Lect. Notes Comput. Sci. 10684, 293--308 (2017; Zbl 1384.94017) Full Text: DOI
Kelbert, Mark; Stuhl, Izabella; Suhov, Yuri Weighted entropy: basic inequalities. (English) Zbl 1378.94014 Mod. Stoch., Theory Appl. 4, No. 3, 233-252 (2017). MSC: 94A17 PDFBibTeX XMLCite \textit{M. Kelbert} et al., Mod. Stoch., Theory Appl. 4, No. 3, 233--252 (2017; Zbl 1378.94014) Full Text: DOI arXiv
Bernád, J. Z.; Frigyik, A. B. On the limit relation for the quantum relative entropy. (English) Zbl 1379.82007 J. Math. Phys. 58, No. 6, 062202, 5 p. (2017). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B35 94A17 94A24 PDFBibTeX XMLCite \textit{J. Z. Bernád} and \textit{A. B. Frigyik}, J. Math. Phys. 58, No. 6, 062202, 5 p. (2017; Zbl 1379.82007) Full Text: DOI arXiv
Kolesnichenko, A. V. An informational-thermodynamic conception of the formation of self-organization processes under the influence of external environment. (Russian. English summary) Zbl 1441.94059 Math. Montisnigri 35, 80-106 (2016). MSC: 94A15 80A19 82B30 82B35 PDFBibTeX XMLCite \textit{A. V. Kolesnichenko}, Math. Montisnigri 35, 80--106 (2016; Zbl 1441.94059) Full Text: Link
Unnikrishnan, C. S. The Gibbs paradox and the physical criteria for indistinguishability of identical particles. (English) Zbl 1349.81216 Int. J. Quantum Inf. 14, No. 6, Article ID 1640037, 11 p. (2016). MSC: 81V70 81S05 94A17 PDFBibTeX XMLCite \textit{C. S. Unnikrishnan}, Int. J. Quantum Inf. 14, No. 6, Article ID 1640037, 11 p. (2016; Zbl 1349.81216) Full Text: DOI arXiv
Suhov, Yuri; Stuhl, Izabella; Yasaei Sekeh, Salimeh; Kelbert, Mark Basic inequalities for weighted entropies. (English) Zbl 1379.94025 Aequationes Math. 90, No. 4, 817-848 (2016). MSC: 94A17 60A10 60C05 62B10 PDFBibTeX XMLCite \textit{Y. Suhov} et al., Aequationes Math. 90, No. 4, 817--848 (2016; Zbl 1379.94025) Full Text: DOI arXiv
Bergeron, H.; Curado, E. M. F.; Gazeau, J. P.; Rodrigues, Ligia M. C. S. Symmetric deformed binomial distributions: an analytical example where the Boltzmann-Gibbs entropy is not extensive. (English) Zbl 1357.62078 J. Math. Phys. 57, No. 2, 023301, 20 p. (2016). MSC: 62E17 82B30 94A17 33C45 81P45 PDFBibTeX XMLCite \textit{H. Bergeron} et al., J. Math. Phys. 57, No. 2, 023301, 20 p. (2016; Zbl 1357.62078) Full Text: DOI Link
Barbaresco, Frédéric Symplectic structure of information geometry: Fisher metric and Euler-Poincaré equation of Souriau Lie group thermodynamics. (English) Zbl 1406.94011 Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 529-540 (2015). MSC: 94A15 53D05 PDFBibTeX XMLCite \textit{F. Barbaresco}, Lect. Notes Comput. Sci. 9389, 529--540 (2015; Zbl 1406.94011) Full Text: DOI
Lewin, Mathieu; Phan Thành Nam; Rougerie, Nicolas Derivation of nonlinear Gibbs measures from many-body quantum mechanics. (Dérivation de mesures de Gibbs non linéaires comme limites d’un modèle de mécanique quantique à \(N\) corps.) (English. French summary) Zbl 1322.81082 J. Éc. Polytech., Math. 2, 65-115 (2015). MSC: 81V70 35Q40 35Q55 82B30 81Q20 94A17 PDFBibTeX XMLCite \textit{M. Lewin} et al., J. Éc. Polytech., Math. 2, 65--115 (2015; Zbl 1322.81082) Full Text: DOI arXiv
Barbaresco, Frédéric Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. (English) Zbl 1338.94028 Entropy 16, No. 8, 4521-4565 (2014). MSC: 94A15 94A17 62P99 53C21 80A10 PDFBibTeX XMLCite \textit{F. Barbaresco}, Entropy 16, No. 8, 4521--4565 (2014; Zbl 1338.94028) Full Text: DOI
Ermolaev, Victor; Verbitskiy, Evgeny Thermodynamic Gibbs formalism and information theory. (English) Zbl 1332.82008 Wakayama, Masato (ed.) et al., The impact of applications on mathematics. Proceedings of the Forum of Mathematics for Industry, “Math-for-Industry 2013”, Fukuoka, Japan, November 4–8, 2013. Tokyo: Springer (ISBN 978-4-431-54906-2/hbk; 978-4-431-54907-9/ebook). Mathematics for Industry 1, 349-362 (2014). MSC: 82B05 94A15 94A17 80A05 PDFBibTeX XMLCite \textit{V. Ermolaev} and \textit{E. Verbitskiy}, Math. Ind. (Tokyo) 1, 349--362 (2014; Zbl 1332.82008) Full Text: DOI
Meléndez, M.; Español, P. Gibbs-Jaynes entropy versus relative entropy. (English) Zbl 1291.82048 J. Stat. Phys. 155, No. 1, 93-105 (2014). MSC: 82B35 94A17 PDFBibTeX XMLCite \textit{M. Meléndez} and \textit{P. Español}, J. Stat. Phys. 155, No. 1, 93--105 (2014; Zbl 1291.82048) Full Text: DOI arXiv
Pistone, Giovanni Examples of the application of nonparametric information geometry to statistical physics. (English) Zbl 1346.35144 Entropy 15, No. 10, 4042-4065 (2013). Reviewer: Piotr Garbaczewski (Opole) MSC: 35Q20 76P05 82C40 94A17 46E30 53C99 60D05 PDFBibTeX XMLCite \textit{G. Pistone}, Entropy 15, No. 10, 4042--4065 (2013; Zbl 1346.35144) Full Text: DOI arXiv
Smerlak, Matteo Einstein\(^2\): Brownian motion meets general relativity. (English) Zbl 1328.83035 Faccio, Daniele (ed.) et al., Analogue gravity phenomenology. Analogue spacetimes and horizons, from theory to experiment. Cham: Springer (ISBN 978-3-319-00265-1/pbk; 978-3-319-00266-8/ebook). Lecture Notes in Physics 870, 385-398 (2013). MSC: 83C05 83C10 70H40 94A17 62P35 PDFBibTeX XMLCite \textit{M. Smerlak}, Lect. Notes Phys. 870, 385--398 (2013; Zbl 1328.83035) Full Text: DOI
Koutsoyiannis, Demetris Physics of uncertainty, the Gibbs paradox and indistinguishable particles. (English) Zbl 1281.82002 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 44, No. 4, 480-489 (2013). MSC: 82B03 82B30 94A17 80A10 81P05 81S05 00A79 PDFBibTeX XMLCite \textit{D. Koutsoyiannis}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 44, No. 4, 480--489 (2013; Zbl 1281.82002) Full Text: DOI
Oikonomou, Thomas; Bagci, G. Baris Clausius versus Sackur-Tetrode entropies. (English) Zbl 1281.80002 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 44, No. 2, 63-68 (2013). MSC: 80A10 94A17 82B30 PDFBibTeX XMLCite \textit{T. Oikonomou} and \textit{G. B. Bagci}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 44, No. 2, 63--68 (2013; Zbl 1281.80002) Full Text: DOI arXiv
Pavon, Michele; Ferrante, Augusto On the geometry of maximum entropy problems. (English) Zbl 1306.94011 SIAM Rev. 55, No. 3, 415-439 (2013). MSC: 94A17 49K27 60G10 62H12 62M15 90C46 PDFBibTeX XMLCite \textit{M. Pavon} and \textit{A. Ferrante}, SIAM Rev. 55, No. 3, 415--439 (2013; Zbl 1306.94011) Full Text: DOI arXiv
Benguigui, L. The different paths to entropy. (English) Zbl 1267.82041 Eur. J. Phys. 34, No. 2, 303-321 (2013). MSC: 82B30 80A10 94A17 PDFBibTeX XMLCite \textit{L. Benguigui}, Eur. J. Phys. 34, No. 2, 303--321 (2013; Zbl 1267.82041) Full Text: DOI arXiv
Mezghani, Neila; Mitiche, Amar; Cheriet, Mohamed Maximum entropy Gibbs density modeling for pattern classification. (English) Zbl 1314.94030 Entropy 14, No. 12, 2478-2491 (2012). MSC: 94A17 92B20 68T10 PDFBibTeX XMLCite \textit{N. Mezghani} et al., Entropy 14, No. 12, 2478--2491 (2012; Zbl 1314.94030) Full Text: DOI
Suárez, Ernesto Distinguishability in entropy calculations: chemical reactions, conformational and residual entropy. (English) Zbl 1301.94052 Entropy 13, No. 8, 1533-1540 (2011). MSC: 94A17 92E10 PDFBibTeX XMLCite \textit{E. Suárez}, Entropy 13, No. 8, 1533--1540 (2011; Zbl 1301.94052) Full Text: DOI
Patiño Douce, Alberto Thermodynamics of the Earth and planets. (English) Zbl 1233.85002 Cambridge: Cambridge University Press (ISBN 978-0-521-89621-4/hbk). xi, 709 p. (2011). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 85-01 85A20 86A10 83C40 85A15 80A10 94A17 PDFBibTeX XMLCite \textit{A. Patiño Douce}, Thermodynamics of the Earth and planets. Cambridge: Cambridge University Press (2011; Zbl 1233.85002) Full Text: DOI
Nagle, John F. In defense of Gibbs and the traditional definition of the entropy of distinguishable particles. (English) Zbl 1229.82013 Entropy 12, No. 8, 1936-1945 (2010). MSC: 82B03 94A17 PDFBibTeX XMLCite \textit{J. F. Nagle}, Entropy 12, No. 8, 1936--1945 (2010; Zbl 1229.82013) Full Text: DOI
Trashorras, José; Tsagkarogiannis, Dimitrios K. From mesoscale back to microscale: reconstruction schemes for coarse-grained stochastic lattice systems. (English) Zbl 1219.82104 SIAM J. Numer. Anal. 48, No. 5, 1647-1677 (2010). MSC: 82B80 65C05 65C20 82-08 82B20 94A17 PDFBibTeX XMLCite \textit{J. Trashorras} and \textit{D. K. Tsagkarogiannis}, SIAM J. Numer. Anal. 48, No. 5, 1647--1677 (2010; Zbl 1219.82104) Full Text: DOI Link
Hiai, Fumio; Miyamoto, Takuho A new approach to mutual information. II. (English) Zbl 1524.94052 Bożejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. II: Papers presented at the 11th workshop, Bȩdlewo, Poland, August 17–23, 2008. Warszawa: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 89, 143-163 (2010). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{T. Miyamoto}, Banach Cent. Publ. 89, 143--163 (2010; Zbl 1524.94052) Full Text: DOI arXiv
van Enter, A.; Verbitskiy, E. Erasure entropies and Gibbs measures. (English) Zbl 1198.82020 Markov Process. Relat. Fields 16, No. 1, 3-14 (2010). MSC: 82B20 94A12 82B23 60K35 PDFBibTeX XMLCite \textit{A. van Enter} and \textit{E. Verbitskiy}, Markov Process. Relat. Fields 16, No. 1, 3--14 (2010; Zbl 1198.82020)
Yu, Yaming A bit of information theory, and the data augmentation algorithm converges. (English) Zbl 1319.60154 IEEE Trans. Inf. Theory 54, No. 11, 5186-5188 (2008). MSC: 60J22 65C05 65C60 94A15 PDFBibTeX XMLCite \textit{Y. Yu}, IEEE Trans. Inf. Theory 54, No. 11, 5186--5188 (2008; Zbl 1319.60154) Full Text: DOI arXiv
Rathie, P. N.; Da Silva, S. Shannon, Lévy, and Tsallis: a note. (English) Zbl 1154.94351 Appl. Math. Sci., Ruse 2, No. 25-28, 1359-1363 (2008). MSC: 94A17 82C05 60G20 60G51 PDFBibTeX XMLCite \textit{P. N. Rathie} and \textit{S. Da Silva}, Appl. Math. Sci., Ruse 2, No. 25--28, 1359--1363 (2008; Zbl 1154.94351) Full Text: Link
Hiai, Fumio; Petz, Dénes A new approach to mutual information. (English) Zbl 1350.94021 Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 151-164 (2008). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{D. Petz}, Banach Cent. Publ. 78, 151--164 (2008; Zbl 1350.94021) Full Text: arXiv
Parfionov, George; Zapatrin, Romàn R. How ”hot” are mixed quantum states? (English) Zbl 1129.81022 Int. J. Quantum Inf. 5, No. 1-2, 311-317 (2007). MSC: 81P68 94A17 PDFBibTeX XMLCite \textit{G. Parfionov} and \textit{R. R. Zapatrin}, Int. J. Quantum Inf. 5, No. 1--2, 311--317 (2007; Zbl 1129.81022) Full Text: DOI arXiv
Braz e Silva, Pablo; Papa, Andrés R. R. Iterates of Volterra operators and indeterminate forms. (English) Zbl 1131.82021 Int. J. Math. Math. Sci. 2006, No. 1, Article ID 29764, 6 p. (2006). MSC: 82C03 47N55 28D20 47B38 94A17 PDFBibTeX XMLCite \textit{P. Braz e Silva} and \textit{A. R. R. Papa}, Int. J. Math. Math. Sci. 2006, No. 1, Article ID 29764, 6 p. (2006; Zbl 1131.82021) Full Text: DOI EuDML
Baggen, Stan; Balakirsky, Vladimir; Denteneer, Dee; Egner, Sebastian; Hollmann, Henk; Tolhuizen, Ludo; Verbitskiy, Evgeny Entropy of a bit-shift channel. (English) Zbl 1137.94005 Denteneer, Dee (ed.) et al., Dynamics and stochastics. Festschrift in honor of M. S. Keane. Selected papers based on the presentations at the conference ‘Dynamical systems, probability theory, and statistical mechanics’, Eindhoven, The Netherlands, January 3–7, 2005, on the occasion of the 65th birthday of Mike S. Keane. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-64-1/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 48, 274-285 (2006). Reviewer: Ludwig Paditz (Dresden) MSC: 94A17 28D20 94A40 94B05 PDFBibTeX XMLCite \textit{S. Baggen} et al., IMS Lect. Notes, Monogr. Ser. 48, 274--285 (2006; Zbl 1137.94005) Full Text: DOI arXiv
Diósi, Lajos; Feldmann, Tova; Kosloff, Ronnie On the exact identity between thermodynamic and informatic entropies in a unitary model of friction. (English) Zbl 1130.82310 Int. J. Quantum Inf. 4, No. 1, 99-104 (2006). MSC: 82B30 82B35 82C35 94A17 PDFBibTeX XMLCite \textit{L. Diósi} et al., Int. J. Quantum Inf. 4, No. 1, 99--104 (2006; Zbl 1130.82310) Full Text: DOI arXiv
Garbaczewski, Piotr Differential entropy and time. (English) Zbl 1135.82312 Entropy 7, No. 4, 253-299 (2005). MSC: 82C03 94A17 PDFBibTeX XMLCite \textit{P. Garbaczewski}, Entropy 7, No. 4, 253--299 (2005; Zbl 1135.82312) Full Text: DOI arXiv
Chernyĭ, A. S.; Maslov, V. P. On minimization and maximization of entropy in various disciplines. (English. Russian original) Zbl 1075.94007 Theory Probab. Appl. 48, No. 3, 447-464 (2003); translation from Teor. Veroyatn. Primen. 48, No. 3, 466-486 (2003). Reviewer: Heinrich von Weizsäcker (Kaiserslautern) MSC: 94A17 60G42 82B30 82C05 62B10 91B28 PDFBibTeX XMLCite \textit{A. S. Chernyĭ} and \textit{V. P. Maslov}, Theory Probab. Appl. 48, No. 3, 447--464 (2003; Zbl 1075.94007); translation from Teor. Veroyatn. Primen. 48, No. 3, 466--486 (2003) Full Text: DOI
Maslov, V. P. Phase transition from the “condensate” state. (English. Russian original) Zbl 1109.82321 Math. Notes 74, No. 4, 599-603 (2003); translation from Mat. Zametki 74, No. 4, 637-640 (2003). MSC: 82B26 62B10 94A17 PDFBibTeX XMLCite \textit{V. P. Maslov}, Math. Notes 74, No. 4, 599--603 (2003; Zbl 1109.82321); translation from Mat. Zametki 74, No. 4, 637--640 (2003) Full Text: DOI
Suyari, Hiroki On the most concise set of axioms and the uniqueness theorem for Tsallis entropy. (English) Zbl 1043.94005 J. Phys. A, Math. Gen. 35, No. 50, 10731-10738 (2002). MSC: 94A17 82B03 PDFBibTeX XMLCite \textit{H. Suyari}, J. Phys. A, Math. Gen. 35, No. 50, 10731--10738 (2002; Zbl 1043.94005) Full Text: DOI
Bedford, Tim; Cooke, Roger M. Probability density decomposition for conditionally dependent random variables modeled by vines. (English) Zbl 1314.62040 Ann. Math. Artif. Intell. 32, No. 1-4, 245-268 (2001). MSC: 62E10 62B10 62H20 68T30 94A17 PDFBibTeX XMLCite \textit{T. Bedford} and \textit{R. M. Cooke}, Ann. Math. Artif. Intell. 32, No. 1--4, 245--268 (2001; Zbl 1314.62040) Full Text: DOI
Kornfeld, I. P.; Sinai, Ya. G. Entropy theory of dynamical systems. 2nd, expanded and rev. ed. (English) Zbl 1417.37023 Bunimovich, L. A. et al., Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. Encyclopaedia of Mathematical Sciences, 100. Mathematical Physics 1. Berlin: Springer. 38-60 (2000). MSC: 37-02 37Axx 82Bxx 94A17 37D35 PDFBibTeX XMLCite \textit{I. P. Kornfeld} and \textit{Ya. G. Sinai}, in: Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. Berlin: Springer. 38--60 (2000; Zbl 1417.37023)
Hiai, Fumio; Petz, Dénes The semicircle law, free random variables and entropy. (English) Zbl 0955.46037 Mathematical Surveys and Monographs. 77. Providence, RI: American Mathematical Society (AMS). x, 376 p. (2000). Reviewer: Fedor Sukochev (Adelaide) MSC: 46L54 15B52 60F10 94A17 46N50 60J65 81S25 05A17 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{D. Petz}, The semicircle law, free random variables and entropy. Providence, RI: American Mathematical Society (AMS) (2000; Zbl 0955.46037)
Ramshaw, John D. General remarks on spectral entropy vs. statistical entropy. (English) Zbl 0976.82028 J. Non-Equilibrium Thermodyn. 22, No. 4, 392-393 (1997). MSC: 82C05 60K40 94A17 PDFBibTeX XMLCite \textit{J. D. Ramshaw}, J. Non-Equilibrium Thermodyn. 22, No. 4, 392--393 (1997; Zbl 0976.82028) Full Text: DOI
Hiai, Fumio; Ohya, Masanori; Petz, Dénes McMillan type convergence for quantum Gibbs states. (English) Zbl 0834.46049 Arch. Math. 64, No. 2, 154-158 (1995). Reviewer: D.Petz (Budapest) MSC: 46L51 46L53 46L54 82B10 94A17 28D05 PDFBibTeX XMLCite \textit{F. Hiai} et al., Arch. Math. 64, No. 2, 154--158 (1995; Zbl 0834.46049) Full Text: DOI
Zhang, Ya-Qin; Pickholtz, Raymond L.; Loew, Murray H. Rate-distortion bound for a class of non-Gaussian sources with memory. (English) Zbl 0801.94006 IEEE Trans. Inf. Theory 39, No. 5, 1697-1701 (1993). MSC: 94A34 94A29 94A17 PDFBibTeX XMLCite \textit{Y.-Q. Zhang} et al., IEEE Trans. Inf. Theory 39, No. 5, 1697--1701 (1993; Zbl 0801.94006) Full Text: DOI
Singh, R. P.; Taneja, P. On unified \((r,s)\)-weighted information measures. (English) Zbl 0769.94005 Soochow J. Math. 19, No. 1, 11-30 (1993). MSC: 94A17 PDFBibTeX XMLCite \textit{R. P. Singh} and \textit{P. Taneja}, Soochow J. Math. 19, No. 1, 11--30 (1993; Zbl 0769.94005)
Amit, Yali; Miller, Michael Large deviations for coding Markov chains and Gibbs random fields. (English) Zbl 0764.94004 IEEE Trans. Inf. Theory 39, No. 1, 109-118 (1993). MSC: 94A29 94A17 60F10 PDFBibTeX XMLCite \textit{Y. Amit} and \textit{M. Miller}, IEEE Trans. Inf. Theory 39, No. 1, 109--118 (1993; Zbl 0764.94004) Full Text: DOI
Chakrabarti, C. G.; Ghosh, Sutapa On Gibbs’ entropy, fluctuation and correlation. (English) Zbl 0783.60101 J. Math. Phys. Sci. 26, No. 6, 549-557 (1992). MSC: 60K35 80A10 94A17 PDFBibTeX XMLCite \textit{C. G. Chakrabarti} and \textit{S. Ghosh}, J. Math. Phys. Sci. 26, No. 6, 549--557 (1992; Zbl 0783.60101)
Jaynes, E. T. [Rosenkrantz, R. D.] Papers on probability, statistics and statistical physics. Ed. by R. D. Rosenkrantz. Pallas paperbacks. (English) Zbl 0687.60085 Synthese Library, 158. Dordrecht etc.: Kluwer Academic Publishers. xxiv, 434 p. Dfl. 70.00; £22.00; $ 34.00 (1989). Reviewer: P.Maslanka MSC: 60K35 82-02 82B05 60-02 94A17 62F15 PDFBibTeX XMLCite \textit{E. T. Jaynes}, Papers on probability, statistics and statistical physics. Ed. by R. D. Rosenkrantz. Pallas paperbacks. Dordrecht etc.: Kluwer Academic Publishers (1989; Zbl 0687.60085)
Ruskai, Mary Beth Extremal properties of relative entropy in quantum statistical mechanics. (English) Zbl 0677.46056 Rep. Math. Phys. 26, No. 1, 143-150 (1988). MSC: 46L60 82B10 94A17 PDFBibTeX XMLCite \textit{M. B. Ruskai}, Rep. Math. Phys. 26, No. 1, 143--150 (1988; Zbl 0677.46056) Full Text: DOI
Levitin, Lev B. Information theory for quantum systems. (English) Zbl 0726.94001 Information complexity and control in quantum physics, Proc. 4th Int. Semin. Math. Theory Dyn. Syst. Microphys., Udine/Italy 1985, CISM Courses Lect. 294, 15-47 (1987). Reviewer: G.Jumarie (Montreal) MSC: 94A15 81S99 82C35 94A17 PDFBibTeX XML
Bassalygo, L. A.; Dobrushin, R. L. \(\epsilon\)-entropy of the Gibbs field. (English. Russian original) Zbl 0635.94001 Probl. Inf. Transm. 23, No. 1-2, 1-11 (1987); translation from Probl. Peredachi Inf. 23, No. 1, 3-15 (1987). MSC: 94A15 94A17 PDFBibTeX XMLCite \textit{L. A. Bassalygo} and \textit{R. L. Dobrushin}, Probl. Inf. Transm. 23, No. 1--2, 1--11 (1987; Zbl 0635.94001); translation from Probl. Peredachi Inf. 23, No. 1, 3--15 (1987)
Liboff, Richard L. Irreversibility, discontinuities in phase space and information flow. (English) Zbl 0627.60108 J. Phys. A 20, 5607-5618 (1987). MSC: 60K35 82B05 94A17 76P05 PDFBibTeX XMLCite \textit{R. L. Liboff}, J. Phys. A, Math. Gen. 20, 5607--5618 (1987; Zbl 0627.60108) Full Text: DOI
Montgomery, David Maximal entropy in fluid and plasma turbulence: A review. (English) Zbl 0574.76127 Maximum-entropy and Bayesian methods in inverse problems, Pap. 2 Workshops, Laramie/Wyo. 1981/1982, Fundam. Theor. Phys. 14, 455-468 (1985). MSC: 76X05 76D05 76F99 94A17 PDFBibTeX XML