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On the Categorical Entropy and the Topological Entropy [PDF]
International Mathematics Research Notices, 2017 To an exact endofunctor of a triangulated category with a split-generator, the notion of entropy is given by Dimitrov-Haiden-Katzarkov-Kontsevich, which is a (possibly negative infinite) real-valued function of a real variable. In this paper, we propose a conjecture which naturally generalizes the theorem by Gromov-Yomdin, and show that the categorical
Kohei Kikuta, Atsushi Takahashi
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Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2020 Shearer's inequality bounds the sum of joint entropies of random variables in terms of the total joint entropy. We give another lower bound for the same sum in terms of the individual entropies when the variables are functions of independent random seeds. The inequality involves a constant characterizing the expansion properties of the system.
Csóka, Endre +2 more
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Entropy, 2021 About 160 years ago, the concept of entropy was introduced in thermodynamics by Rudolf Clausius. Since then, it has been continually extended, interpreted, and applied by researchers in many scientific fields, such as general physics, information theory, chaos theory, data mining, and mathematical linguistics.
Luís Antunes +7 more
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Hochschild Entropy and Categorical Entropy
Arnold Mathematical Journal, 2022 22 pages.
Kohei Kikuta, Genki Ouchi
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Acknowledgement to Reviewers of Entropy in 2019
Entropy, 2020 The editorial team greatly appreciates the reviewers who have dedicated their considerable time and expertise to the journal’s rigorous editorial process over the past 12 months, regardless of whether the papers are finally published or not[...]
Entropy Editorial Office
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Entropy, 2020 On behalf of the Editor-in-Chief, Prof [...]
Entropy Editorial Office
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Entropy, 2021 While entropy was introduced in the second half of the 19th century in the international vocabulary as a scientific term, in the 20th century it became common in colloquial use. Popular imagination has loaded “entropy” with almost every negative quality in the universe, in life and in society, with a dominant meaning of disorder and disorganization ...
Demetris Koutsoyiannis +1 more
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Frontiers in Materials, 2022 In this study, the Al0.3Cr0.5Fe1.5Mn0.5Ni high-entropy alloys (HEAs) with addition of titanium and carbon was prepared. The as-cast alloys were composed of FCC solid solution and TiC particles, and were further aged and strengthened by precipitation of ...
Chun-Hao Peng +7 more
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Communications in Mathematical Physics, 2020 AbstractWe ask the question whether entropy accumulates, in the sense that the operationally relevant total uncertainty about an n-partite system $$A = (A_1, \ldots A_n)$$ A = ( A 1 , … A n ) corresponds to the sum of the entropies of its parts $$A_i$$ A i .
Frédéric Dupuis +2 more
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Significant Improvement in Wear Resistance of CoCrFeNi High-Entropy Alloy via Boron Doping
Lubricants, 2023 CoCrFeNi high-entropy alloy (HEA) exhibits excellent mechanical properties but relatively poor wear resistance. In particular, when the load reaches a certain level and the deformation mechanism of the CoCrFeNi HEA changes, the formation of shear bands ...
Haitao Zhang +5 more
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