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1 Kemppainen, Antti Schramm???Loewner Evolution I09669 2017 eBook  
2 Munteanu, Gheorghe Complex Spaces in Finsler, Lagrange and Hamilton Geometries I10677 2004 eBook  
3 Terziogammalu, T Advances in the Theory of Fr??chet Spaces I03867 1989 eBook  
4 Gauthier, Paul M Complex Potential Theory I02935 1994 eBook  
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TitleSchramm???Loewner Evolution
Author(s)Kemppainen, Antti
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionIX, 145 p. 25 illus., 10 illus. in color : online resource
Abstract NoteThis book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis. The connection to statistical physics is also developed in the text in an example case.??The book is based on a course (with the same title) lectured by the author.??First three chapters are devoted to the background material, but at the same time, give the reader a good understanding on the overview on the subject and on some aspects of conformal invariance. The chapter on the Loewner equation develops in detail the connection of growing hulls and the differential equation satisfied by families of conformal maps. The Schramm???Loewner evolutions are defined and their basic properties are studied in the following chapter, and the regularity properties of random curves as well as scaling limits of discrete random curves are investigated in the final chapter. The book is aimed at graduate students or researchers who want to learn the subject fairly quickly
ISBN,Price9783319653297
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. FUNCTIONS OF COMPLEX VARIABLES 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. PROBABILITIES 10. Probability Theory and Stochastic Processes 11. Several Complex Variables and Analytic Spaces 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems
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TitleComplex Spaces in Finsler, Lagrange and Hamilton Geometries
Author(s)Munteanu, Gheorghe
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2004.
DescriptionXII, 228 p : online resource
Abstract NoteFrom a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P. Finsler from 1918 ([Fi]). In a the classical notion also conventional classification, Finsler geometry has besides a number of generalizations, which use the same work technique and which can be considered self-geometries: Lagrange and Hamilton spaces. Finsler geometry had a period of incubation long enough, so that few math?? ematicians (E. Cartan, L. Berwald, S.S. Chem, H. Rund) had the patience to penetrate into a universe of tensors, which made them compare it to a jungle. To aU of us, who study nowadays Finsler geometry, it is obvious that the qualitative leap was made in the 1970's by the crystallization of the nonlinear connection notion (a notion which is almost as old as Finsler space, [SZ4]) and by work-skills into its adapted frame fields. The results obtained by M. Matsumoto (coUected later, in 1986, in a monograph, [Ma3]) aroused interest not only in Japan, but also in other countries such as Romania, Hungary, Canada and the USA, where schools of Finsler geometry are founded and are presently widely recognized
ISBN,Price9781402022067
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. FUNCTIONS OF COMPLEX VARIABLES 5. Mathematical Modeling and Industrial Mathematics 6. MATHEMATICAL MODELS 7. MATHEMATICAL PHYSICS 8. QUANTUM PHYSICS 9. Several Complex Variables and Analytic Spaces 10. Theoretical, Mathematical and Computational Physics
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TitleAdvances in the Theory of Fr??chet Spaces
Author(s)Terziogammalu, T
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1989.
DescriptionXVIII, 364 p : online resource
Abstract NoteFrechet spaces have been studied since the days of Banach. These spaces, their inductive limits and their duals played a prominent role in the development of the theory of locally convex spaces. Also they are natural tools in many areas of real and complex analysis. The pioneering work of Grothendieck in the fifties has been one of the important sources of inspiration for research in the theory of Frechet spaces. A structure theory of nuclear Frechet spaces emerged and some important questions posed by Grothendieck were settled in the seventies. In particular, subspaces and quotient spaces of stable nuclear power series spaces were completely characterized. In the last years it has become increasingly clear that the methods used in the structure theory of nuclear Frechet spaces actually provide new insight to linear problems in diverse branches of analysis and lead to solutions of some classical problems. The unifying theme at our Workshop was the recent developments in the theory of the projective limit functor. This is appropriate because of the important role this theory had in the recent research. The main results of the structure theory of nuclear Frechet spaces can be formulated and proved within the framework of this theory. A major area of application of the theory of the projective limit functor is to decide when a linear operator is surjective and, if it is, to determine whether it has a continuous right inverse
ISBN,Price9789400924567
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONS OF COMPLEX VARIABLES 4. OPERATOR THEORY 5. PARTIAL DIFFERENTIAL EQUATIONS 6. Several Complex Variables and Analytic Spaces 7. SPECIAL FUNCTIONS
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TitleComplex Potential Theory
Author(s)Gauthier, Paul M
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1994.
DescriptionXIX, 552 p : online resource
ISBN,Price9789401109345
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONAL ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. POTENTIAL THEORY 7. Potential theory (Mathematics) 8. Several Complex Variables and Analytic Spaces
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I02935     On Shelf    

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