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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.
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.
Mathematics of Planet Earth (MPE) was started and continues to be
consolidated as a collaboration of mathematical science
organisations around the world. These organisations work together
to tackle global environmental, social and economic problems using
mathematics.This textbook introduces the fundamental topics of MPE
to advanced undergraduate and graduate students in mathematics,
physics and engineering while explaining their modern usages and
operational connections. In particular, it discusses the links
between partial differential equations, data assimilation,
dynamical systems, mathematical modelling and numerical simulations
and applies them to insightful examples.The text also complements
advanced courses in geophysical fluid dynamics (GFD) for
meteorology, atmospheric science and oceanography. It links the
fundamental scientific topics of GFD with their potential usage in
applications of climate change and weather variability. The
immediacy of examples provides an excellent introduction for
experienced researchers interested in learning the scope and
primary concepts of MPE.
Mathematics of Planet Earth (MPE) was started and continues to be
consolidated as a collaboration of mathematical science
organisations around the world. These organisations work together
to tackle global environmental, social and economic problems using
mathematics.This textbook introduces the fundamental topics of MPE
to advanced undergraduate and graduate students in mathematics,
physics and engineering while explaining their modern usages and
operational connections. In particular, it discusses the links
between partial differential equations, data assimilation,
dynamical systems, mathematical modelling and numerical simulations
and applies them to insightful examples.The text also complements
advanced courses in geophysical fluid dynamics (GFD) for
meteorology, atmospheric science and oceanography. It links the
fundamental scientific topics of GFD with their potential usage in
applications of climate change and weather variability. The
immediacy of examples provides an excellent introduction for
experienced researchers interested in learning the scope and
primary concepts of MPE.
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