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Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
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Markov Random Flights (Hardcover)
Loot Price: R4,955
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Markov Random Flights (Hardcover)
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Expected to ship within 12 - 19 working days
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Markov Random Flights is the first systematic presentation of the
theory of Markov random flights in the Euclidean spaces of
different dimensions. Markov random flights is a stochastic dynamic
system subject to the control of an external Poisson process and
represented by the stochastic motion of a particle that moves at
constant finite speed and changes its direction at random Poisson
time instants. The initial (and each new) direction is taken at
random according to some probability distribution on the unit
sphere. Such stochastic motion is the basic model for describing
many real finite-velocity transport phenomena arising in
statistical physics, chemistry, biology, environmental science and
financial markets. Markov random flights acts as an effective tool
for modelling the slow and super-slow diffusion processes arising
in various fields of science and technology. Features: Provides the
first systematic presentation of the theory of Markov random
flights in the Euclidean spaces of different dimensions. Suitable
for graduate students and specialists and professionals in applied
areas. Introduces a new unified approach based on the powerful
methods of mathematical analysis, such as integral transforms,
generalized, hypergeometric and special functions. Author Alexander
D. Kolesnik is a professor, Head of Laboratory (2015-2019) and
principal researcher (since 2020) at the Institute of Mathematics
and Computer Science, Kishinev (Chisinau), Moldova. He graduated
from Moldova State University in 1980 and earned his PhD from the
Institute of Mathematics of the National Academy of Sciences of
Ukraine, Kiev in 1991. He also earned a PhD Habilitation in
mathematics and physics with specialization in stochastic
processes, probability and statistics conferred by the Specialized
Council at the Institute of Mathematics of the National Academy of
Sciences of Ukraine and confirmed by the Supreme Attestation
Commission of Ukraine in 2010. His research interests include:
probability and statistics, stochastic processes, random
evolutions, stochastic dynamic systems, random flights, diffusion
processes, transport processes, random walks, stochastic processes
in random environments, partial differential equations in
stochastic models, statistical physics and wave processes. Dr.
Kolesnik has published more than 70 scientific publications, mostly
in high-standard international journals and a monograph. He has
also acted as external referee for many outstanding international
journals in mathematics and physics, being awarded by the
"Certificate of Outstanding Contribution in Reviewing" from the
journal "Stochastic Processes and their Applications." He was the
visiting professor and scholarship holder at universities in Italy
and Germany and member of the Board of Global Advisors of the
International Federation of Nonlinear Analysts (IFNA), United
States of America.
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