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This volume contains the proceedings of the AMSSMFEMS Special Session on Fractal Geometry in Pure and Applied Mathematics, held from July 5–9, 2022, in Grenoble, France. The volume includes papers on recent developments in fractal geometry and its applications, featuring both original research and expository summaries. Key topics include nonBrownian diffusion and randomized Dirichlet forms on Sierpinski gaskettype fractals, graph approximation of such fractals, heat diffusion across fractal boundaries and inverse problems on fractal domains. Some new results are also presented regarding Sobolevtype spaces on metric measure spaces, and function spaces related to iterated fractal drums like the Weierstrass curve.
This volume contains the proceedings of the First Workshop “Matemáticos Mexicanos Jóvenes en el Mundo”, held from August 22–24, 2012, at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, Mexico. - See more at: http://bookstore.ams.org/conm-657/#sthash.cUjwTcvX.dpuf This volume contains the proceedings of the First Workshop "Matemáticos Mexicanos Jóvenes en el Mundo", held from August 22-24, 2012, at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, Mexico. One of the main goals of this meeting was to present different research directions being pursued by young Mexican mathematicians based in other countries, such as Brazil, Canada, Colombia, Estonia, Ger...
This volume contains the proceedings of the Conference on Mathematics and its Applications-2014, held from November 14-17, 2014, at Kuwait University, Safat, Kuwait. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method. Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann...
his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.
This volume contains the proceedings of the AMS Western Sectional Meeting on Algebraic Structures in Knot Theory held on May 6?7, 2023, at California State University, Fresno, California. Modern knot theory includes the study of a diversity of different knotted objects?classical knots, surface-links, knotoids, spatial graphs, and more. Knot invariants are tools for probing the structure of these generalized knots. Many of the most effective knot invariants take the form of algebraic structures. In this volume we collect some recent work on algebraic structures in knot theory, including topics such as braid groups, skein algebras, Gram determinants, and categorifications such as Khovanov homology.
From July 3 to 7, 2024, Taras Shevchenko National University of Kyiv, A.S. Makarenko Sumy State Pedagogical University, and the Institute of Mathematics of the National Academy of Sciences of Ukraine held the 14th Ukraine Algebra Conference as part of a series of biannual conferences originally initiated by V. Kirichenko, V. Sushchansky, and V. Usenko. The 14th Ukraine Algebra Conference was held online due to Russian bombings. It brought together 350 participants from nearly 40 countries and featured 150 talks. The conference proceedings consist of two volumes: Volume 1 contains papers on Representation Theory, and Volume 2 contains papers on Groups and Algebras.
This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.
This proceedings provides a forum for mathematicians, physicists, and computational scientists to communicate and discuss recent research results in the areas of orthogonal polynomials and special functions. This symposium is an event of the SIAM Activity Group on Orthogonal Polynomials and Special Functions. The activity group promotes basic research in orthogonal polynomials and special functions, as well as applications of this subject in other parts of mathematics, and in science and industry. It encourages and supports the exchange of information, ideas, and techniques between researchers in this field and other mathematicians and scientists. This 16th edition of the proceedings reports advances generated by renowned international researchers and will include as well results obtained by younger scientists.
The volume is very beneficial to both starting and experienced researchers working in the field of integrable nonlinear equations, soliton theory, and nonlinear waves. It will be an excellent reference book for graduate students majoring in mathematical physics and engineering sciences. This volume covers a broad range of current interesting topics in nonlinear and modern mathematical physics, and reviews recent developments in integrable systems, soliton theory and nonlinear dynamics. The book is suitable for both starting and experienced researchers working in nonlinear sciences, and it is a good reference for students of mathematical, physical and engineering sciences.
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