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Stochastic and Infinite Dimensional Analysis: Trends in Mathematics

Editat de Christopher C. Bernido, Maria Victoria Carpio-Bernido, Martin Grothaus, Tobias Kuna, Maria João Oliveira, José Luís da Silva
en Limba Engleză Paperback – 9 iun 2018
This volumepresents a collection of papers covering applications from a wide range ofsystems with infinitely many degrees of freedom studied using techniques fromstochastic and infinite dimensional analysis, e.g. Feynman path integrals, thestatistical mechanics of polymer chains, complex networks, and quantum fieldtheory. Systems of infinitely many degrees of freedom create their particularmathematical challenges which have been addressed by different mathematicaltheories, namely in the theories of stochastic processes, Malliavin calculus,and especially white noise analysis.
Theseproceedings are inspired by a conference held on the occasion of Prof. LudwigStreit’s 75th birthday and celebrate his pioneering and ongoing work in thesefields.
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Specificații

ISBN-13: 9783319791555
ISBN-10: 3319791559
Ilustrații: X, 300 p. 12 illus., 5 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.44 kg
Ediția:Softcover reprint of the original 1st ed. 2016
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Trends in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Preface.- Along paths inspired by Ludwig Streit: Stochastic equations for quantum fields and related systems.- Detecting hierarchical communities in net-works: a new approach.- Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces.- Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action.- Computer Simulations of Self-Repelling Fractional Brownian Motion.- Principal Solutions Revisited.- Laplace operators in gamma analysis.- 38 years with Professor Ludwig Streit.- Quasi-analyticity and determinacy of the full moment problem from finite to infinite dimensions.- Elements for the Retrieval of the Solar Spectrum on the Surface of Mars from an Array of Photodiodes.- Stochastic processes on ends of tree and Dirichlet forms.- Completing Canonical Quantization, and Its Role in Nontrivial Scalar Field Quantization.- Stochastic solutions of nonlinear PDE's and an extension of superprocesses.- Maximum likelihood drift estimation for the mixing of two fractional Brownian motions.- Existence of density for solutions of mixed stochastic equations.

Textul de pe ultima copertă

This volumepresents a collection of papers covering applications from a wide range ofsystems with infinitely many degrees of freedom studied using techniques fromstochastic and infinite dimensional analysis, e.g. Feynman path integrals, thestatistical mechanics of polymer chains, complex networks, and quantum fieldtheory. Systems of infinitely many degrees of freedom create their particularmathematical challenges which have been addressed by different mathematicaltheories, namely in the theories of stochastic processes, Malliavin calculus,and especially white noise analysis.
Theseproceedings are inspired by a conference held on the occasion of Prof. LudwigStreit’s 75th birthday and celebrate his pioneering and ongoing work in thesefields.

Caracteristici

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 Includes supplementary material: sn.pub/extras