Stochastic and Infinite Dimensional Analysis

Häftad, Engelska, 2018

Av Christopher C. Bernido, Maria Victoria Carpio-Bernido, Martin Grothaus, Tobias Kuna, Maria João Oliveira, José Luís da Silva, Maria Joao Oliveira, Jose Luis da Silva, José Luís Da Silva

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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.

Produktinformation

Utgivningsdatum2018-06-09
Mått155 x 235 x 17 mm
Vikt476 g
FormatHäftad
SpråkEngelska
SerieTrends in Mathematics
Antal sidor300
FörlagBirkhauser Verlag AG
ISBN9783319791555

Tillhör följande kategorier

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.