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Random Matrices
Random matrix theory has many roots and many branches in mathematics, statistics, physics, computer science, data science, numerical analysis, biology, ecology, engineering, and operations research. This book provides a snippet of this vast domain of study, with a particular focus on the notations of universality and integrability. Universality shows that many systems behave the same way in their large scale limit, while integrability provides a route to describe the nature of those universal limits. Many of the ten contributed chapters address these themes, while others touch on applications of tools and results from random matrix theory. This book is appropriate for graduate students and researchers interested in learning techniques and results in random matrix theory from different perspectives and viewpoints. It also captures a moment in the evolution of the theory, when the previous decade brought major break-throughs, prompting exciting new directions of research.
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Dawniej w Zamościu
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Kodeks postępowania cywilnego. Orzecznictwo. Piśmiennictwo. Tom III
Tom III zawiera orzecznictwo Sądu Najwyższego z lat 1918–2020 oraz piśmiennictwo z lat 1830–2020, dotyczące art. 316–505[39] Kodeksu postępowania cywilnego lub zachowujące ścisły związek z jego przepisami. Na publikację składa się część bogatych zbiorów bibliograficznych autora, obejmujących prawie 100 000 pozycji. Liczy ona ok. 15 000 orzeczeń przypisanych do poszczególnych artykułów Kodeksu oraz tyleż pozycji piśmiennictwa. W zbiorze umieszczono wszystkie orzeczenia opublikowane – ze wskazaniem opracowanych do nich glos, notek, omówień lub komentarzy – niepublikowane natomiast tylko te, które autor uznał za ważne, istotne lub z innych powodów warte up...
Random Matrices: High Dimensional Phenomena
This book focuses on the behaviour of large random matrices. Standard results are covered, and the presentation emphasizes elementary operator theory and differential equations, so as to be accessible to graduate students and other non-experts. The introductory chapters review material on Lie groups and probability measures in a style suitable for applications in random matrix theory. Later chapters use modern convexity theory to establish subtle results about the convergence of eigenvalue distributions as the size of the matrices increases. Random matrices are viewed as geometrical objects with large dimension. The book analyzes the concentration of measure phenomenon, which describes how measures behave on geometrical objects with large dimension. To prove such results for random matrices, the book develops the modern theory of optimal transportation and proves the associated functional inequalities involving entropy and information. These include the logarithmic Sobolev inequality, which measures how fast some physical systems converge to equilibrium.
Artificial Intelligence and Soft Computing
The two-volume set LNAI 14125 and 14126 constitutes the refereed conference proceedings of the 22nd International Conference on Artificial Intelligence and Soft Computing, ICAISC 2023, held in Zakopane, Poland, during June 18–22, 2023. The 84 revised full papers presented in these proceedings were carefully reviewed and selected from 175 submissions. The papers are organized in the following topical sections: Part I: Neural Networks and Their Applications; Evolutionary Algorithms and Their Applications; and Artificial Intelligence in Modeling and Simulation. Part II: Computer Vision, Image and Speech Analysis; Various Problems of Artificial Intelligence; Bioinformatics, Biometrics and Medical Applications; and Data Mining and Pateern Classification.
