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020			_a9783030789374
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a519.21 _bBHA-R
100			_aBhattacharya, Rabi
245			_aRandom walk, brownian motion, and martingales
260			_aSwitzerland : _bSpringer Nature, _c2021.
300			_axv, 396p.
490			_aGraduate texts in mathematics, _v292. _x2197-5612 ;
504			_aIncludes bibliographical references and indexes.
520			_aThis textbook offers an approachable introduction to stochastic processes that explores the four pillars of random walk, branching processes, Brownian motion, and martingales. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study. Consisting of many short chapters, the book begins with a comprehensive account of the simple random walk in one dimension. From here, different paths may be chosen according to interest. Themes span Poisson processes, branching processes, the Kolmogorov–Chentsov theorem, martingales, renewal theory, and Brownian motion. Special topics follow, showcasing a selection of important contemporary applications, including mathematical finance, optimal stopping, ruin theory, branching random walk, and equations of fluids. Engaging exercises accompany the theorythroughout. Random Walk, Brownian Motion, and Martingales is an ideal introduction to the rigorous study of stochastic processes. Students and instructors alike will appreciate the accessible, example-driven approach. A single, graduate-level course in probability is assumed
650			_aBrownian motion processes.
650			_aRandom walk mathematics
650			_aMartingales mathematics
650			_aBranching processes mathematics
650			_aMarkov property
650			_aKolmogorov-Chentsov theorem
650			_aNavier-Stokes equations
650			_aMathematical finance stochastic processes
700			_aWaymire, Edward C.
856			_3Table of Contents _uhttps://link.springer.com/content/pdf/bfm:978-3-030-78939-8/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/59836040-random-walk-brownian-motion-and-martingales?from_search=true&from_srp=true&qid=IkxizONVbe&rank=1#CommunityReviews
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999			_c35074 _d35074