000 02391nam a22003617a 4500
001 sulb-eb0016383
003 BD-SySUS
005 20160405135336.0
008 110124s2011||||enk o ||1 0|eng|d
020 _a9781139003605 (ebook)
020 _z9780521768405 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
_dBD-SySUS
050 0 0 _aQA274.75
_b.A73 2012
082 0 0 _a519.2/33
_223
100 1 _aArapostathis, Ari,
_eauthor.
245 1 0 _aErgodic Control of Diffusion Processes /
_cAri Arapostathis, Vivek S. Borkar, Mrinal K. Ghosh.
264 1 _aCambridge :
_bCambridge University Press,
_c2011.
300 _a1 online resource (340 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aEncyclopedia of Mathematics and its Applications ;
_v143
500 _aTitle from publisher's bibliographic system (viewed on 04 Apr 2016).
520 _aThis comprehensive volume on ergodic control for diffusions highlights intuition alongside technical arguments. A concise account of Markov process theory is followed by a complete development of the fundamental issues and formalisms in control of diffusions. This then leads to a comprehensive treatment of ergodic control, a problem that straddles stochastic control and the ergodic theory of Markov processes. The interplay between the probabilistic and ergodic-theoretic aspects of the problem, notably the asymptotics of empirical measures on one hand, and the analytic aspects leading to a characterization of optimality via the associated Hamilton–Jacobi–Bellman equation on the other, is clearly revealed. The more abstract controlled martingale problem is also presented, in addition to many other related issues and models. Assuming only graduate-level probability and analysis, the authors develop the theory in a manner that makes it accessible to users in applied mathematics, engineering, finance and operations research.
650 0 _aDiffusion processes
650 0 _aErgodic theory
700 1 _aBorkar, Vivek S.,
_eauthor.
700 1 _aGhosh, Mrinal K.,
_eauthor.
776 0 8 _iPrint version:
_z9780521768405
830 0 _aEncyclopedia of Mathematics and its Applications ;
_v143.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9781139003605
942 _2Dewey Decimal Classification
_ceBooks
999 _c37821
_d37821