Stochastic and Infinite Dimensional Analysis -

Stochastic and Infinite Dimensional Analysis

Buch | Hardcover
X, 300 Seiten
2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-07244-9 (ISBN)
149,79 inkl. MwSt

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.

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.

Erscheint lt. Verlag 12.8.2016
Reihe/Serie Trends in Mathematics
Zusatzinfo X, 300 p. 12 illus., 5 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte Fractional processes • Infinite dimensional analysis • processes with memory • stochastic analysis • White Noise Analysis
ISBN-10 3-319-07244-7 / 3319072447
ISBN-13 978-3-319-07244-9 / 9783319072449
Zustand Neuware
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