عنوان

Cycle representations of Markov processes /

شابک

0387291660

شابک

0387360816

شابک

9780387291666

شابک

9780387360812

شماره

b798320

عنوان اصلي

Cycle representations of Markov processes /

نام عام مواد

[Book]

نام نخستين پديدآور

Sophia L. Kalpazidou.

وضعيت ويراست

2nd ed.

محل نشرو پخش و غیره

New York :

نام ناشر، پخش کننده و غيره

Springer-Verlag,

تاریخ نشرو بخش و غیره

2006.

نام خاص و کميت اثر

1 online resource (xx, 301 pages) :

ساير جزييات

illustrations

عنوان فروست

Stochastic modelling and applied probability,

مشخصه جلد

28

شاپا ي ISSN فروست

0172-4568 ;

متن يادداشت

Includes bibliographical references (pages 267-296) and index.

متن يادداشت

Fundamentals of the cycle representations of Markov processes -- Directed circuits -- Genesis of Markov chains by circuits : the circuit chains -- Cycle representations of recurrent denumerable Markov chains -- Circuit representations of finite recurrent Markov chains -- Continuous parameter circuit processes with finite state space -- Spectral theory of circuit processes -- Higher-order circuit processes -- Cycloid Markov processes -- Markov processes on Banach spaces on cycles -- The cycle measures -- Wide-ranging interpretations of the cycle representations of Markov processes -- Applications of the cycle representations -- Stochastic properties in terms of circuits -- Lévy's theorem concerning positiveness of transition probabilities -- The rotational theory of Markov processes.

بدون عنوان

0

متن يادداشت

"This book is a prototype providing new insight into Markovian dependence via the cycle decompositions. It presents a systematic account of a class of stochastic processes known as cycle (or circuit) processes - so-called because they may be defined by directed cycles. These processes have special and important properties through the interaction between the geometric properties of the trajectories and the algebraic characterization of the Markov process. An important application of this approach is the insight it provides to electrical networks and the duality principle of networks. In particular, it provides an entirely new approach to infinite electrical networks and their applications in topics as diverse as random walks, the classification of Riemann surfaces, and to operator theory. The second edition of this book adds new advances to many directions, which reveal wide-ranging interpretations of the cycle representations like homologic decompositions, orthogonality equations, Fourier series, semigroup equations, and disintegration of measures. The versatility of these interpretations is consequently motivated by the existence of algebraic-topological principles in the fundamentals of the cycle representations. This book contains chapter summaries as well as a number of detailed illustrations."--Publisher's website.

منبع سفارش / آدرس اشتراک

Springer

شماره انبار

978-0-387-29166-6

عنوان

Cycle representations of Markov processes.

شماره استاندارد بين المللي کتاب و موسيقي

9780387291666

موضوع مستند نشده

Algebraic cycles.

موضوع مستند نشده

Markov processes.

موضوع مستند نشده

Algebraic cycles.

موضوع مستند نشده

Algebraic cycles.

موضوع مستند نشده

Markov processes.

موضوع مستند نشده

Markov processes.

موضوع مستند نشده

MATHEMATICS-- Probability & Statistics-- Stochastic Processes.

موضوع مستند نشده

MAT-- 029040

موضوع مستند نشده

QA

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

کد سيستم

مستند نام اشخاص تاييد نشده

Kalpazidou, Sophia L.

تاريخ عمليات

20201207105456.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y