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Features scientific contributions by world leading experts in the fields of systems of infinite degrees of freedom
Prominent presentation of the different guises of these fields such as infinite dimensional analysis, stochastic processes and white noise analysis
Ties together papers treating applications of systems of infinitely many degrees of freedom ranging from
Martian atmosphere to social networks in a rather unique way rarely to be found in single publications of this kind
Systems of infinitely many degrees of freedom create their particular mathematical challenges and request their own technical treatment. This volume presents a collection of papers covering a wide range of applications ranging from Feynman path integrals and statistical mechanics of polymer chains to complex networks and quantum field theory. These papers are tied together by the mathematical structure they have in common. Infinite dimensional analysis, stochastic processes and in particular white noise analysis are the many guises in which this structure appears reflecting different viewpoints inspired by different applications. These proceedings are an outgrowth of a conference held on the occasion of the 75th birthday of Prof. Ludwig Streit celebrating his long on going work in these fields, to which he contributed as a forerunner.
Content Level »Research
Keywords »infinite dimensional analysis - processes with memory - stochastic analysis - white noise analysis
M. J. Barber: Detecting Hierarchical Communities in Networks: A New Approach.- C. C. Bernido and M. V. Carpio-Bernido: Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces.- W. Bock: Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action.- J. Bornales, C. Cabahug, R. Baybayon, S. Bantayan and B. Gemao: Computer Simulations of Self-Repelling Fractional Brownian Motion.- S. Clark, F. Gesztesy and R. Nichols: Principal Solutions Revisited.- D. Hagedorn, Yu. Kondratiev, E. Lytvynov and A. Vershik: Laplace Operators in Gamma Analysis.- T. Hida: 38 Years with Professor Ludwig Streit.- M. Infusino: Quasi-analyticity and Determinacy of the Full Moment Problem from Finite to Infinite Dimensions.- S. Jiménez and L. Vázquez: Elements for the Retrieval of the Solar Spectrum on the Surface of Mars from an Array of Photodiodes.- W. Karwowski Stochastic Processes on Ends of Tree and Dirichlet Forms.- J. R. Klauder: Completing Canonical Quantization, and Its Role in Nontrivial Scalar Field Quantization.- Y. Mishura: Maximum Likelihood Drift Estimation for the Mixing of Two Fractional Brownian Motions.- T. Shalaiko and G. Shevchenko: Existence of Density for Solutions of Mixed Stochastic Equations.- R. Vilela Mendes: Stochastic Solutions of Nonlinear PDEs and an Extension of Superprocesses.