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Stochastic and Infinite Dimensional Analysis by Maria Joao Oliveira, Jose Luis da Silva, Christopher C. Bernido, Maria Victoria Carpio-Bernido, Martin Grothaus, Tobias Kuna (Paperback, 2018)

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By Christopher C. Bernido, Maria Victoria Carpio-Bernido, Martin Grothaus, Tobias Kuna, Maria João Oliveira, José Luís da Silva. - Along paths inspired by Ludwig Streit: Stochastic equations for quantum fields and related systems.

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This volume presents a collection of papers covering applications from a wide range of systems with infinitely many degrees of freedom studied using techniques from stochastic and infinite dimensional analysis, e.g. Feynman path integrals, the statistical mechanics of polymer chains, complex networks, and quantum field theory. Systems of infinitely many degrees of freedom create their particular mathematical challenges which have been addressed by different mathematical theories, namely in the theories of stochastic processes, Malliavin calculus, and especially white noise analysis. These proceedings are inspired by a conference held on the occasion of Prof. Ludwig Streit's 75th birthday and celebrate his pioneering and ongoing work in these fields.