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Titlebook: Bifurcation Phenomena in Mathematical Physics and Related Topics; Proceedings of the N Claude Bardos,Daniel Bessis Conference proceedings 1

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期刊全称Bifurcation Phenomena in Mathematical Physics and Related Topics
期刊简称Proceedings of the N
影响因子2023Claude Bardos,Daniel Bessis
视频video
学科分类Nato Science Series C:
图书封面Titlebook: Bifurcation Phenomena in Mathematical Physics and Related Topics; Proceedings of the N Claude Bardos,Daniel Bessis Conference proceedings 1
影响因子One of the main ideas in organizing the Summer Institute of Cargese on "Bifurcation Phenomena in Mathematical Physics and Related Topics" was to bring together Physicists and Mathematicians working on the properties arising from the non linearity of the phenomena and of the models that are used for their description. Among these properties the existence of bifurcations is one of the most interesting, and we had a general survey of the mathematical tools used in this field. This survey was done by M. Crandall and P. Rabinowitz and the notes enclosed in these proceedings were written by E. Buzano a]ld C. Canuto. Another mathematical approach, using Morse Theory was given by J. Smoller reporting on a joint work with C. Conley. An example of a direct application was given by M. Ghil. For physicists the theory of bifurcation is closely related to critical phenomena and this was explained in a series of talks given by J.P. Eckmann, G. Baker and M. Fisher. Some related ideas can be found in the talk given by T. T. Wu , on a joint work with Barry Mc Coy on quantum field theory. The description of these phenomena leads to the use of Pade approximants (it is explained for instance in the lec
Pindex Conference proceedings 1980
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Lattice Renormalization of Non-Perturbative Quantum Field Theory of quantum field theory in two dimensions where lattice renormalization may be explicitly carried out, namely the Ising field theory and the Thirring model. The Ising theory demonstrates that, with the same Lagrangian, two different relativistic quantum field theories can be constructed by using di
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The Continuous-Spin, Ising Model of Field Theory and the Renormalization Grouponly reliable, general methods available to attack this problem have been series expansion methods. The development of scaling ideas and the realization that Euclidean, Boson, quantum field-theory is the same problem as the scaling limit of critical phenomena has led to the development of the renorm
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Critical Properties of One Dimensional Mappingste time). Generally these evolution laws are non-linear and involve a few adjustable parameters (for instance temperature or boundary conditions in hydrodynamics) (1,2). For certain critical values of these parameters, the asymptotic behaviour of the solution changes suddenly and qualitatively: this
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Sets of Minimum Capacity, Padé Approximants and the Bubble Problemremains to be completed. It is speculated that Padé approximants to certain functions with branch points converge away from a corresponding set of minimum capacity. In some cases this speculation has been proved. These ideas are used to study the expansion for a function describing the shape of a cy
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