000 02623nam a2200409 a 4500
005 20250919002731.0
008 150312s20102010riu b 001 0 eng
020 _a9780821849491
_qhardback, alk. paper
_cRM204.60
020 _a0821849492
_qalk. paper
039 9 _a201509281238
_brosli
_c201509041610
_dbaiti
_c201508251644
_dbinar
_c201503121214
_dbinar
_y03-12-2015
_zbinar
040 _aDLC
_beng
_cDLC
_dYDX
_dYDXCP
_dUBY
_dIXA
_dDEBBG
_dCDX
_dNLGGC
_dUKMGB
_dOCLCF
_dUKM
_erda
090 _aQA274.7.L548
090 _aQA274.7
_b.L548
100 1 _aLiggett, Thomas M.
_q(Thomas Milton),
_d1944-
245 1 0 _aContinuous time Markov processes :
_ban introduction /
_cThomas M. Liggett.
264 1 _aProvidence, R.I. :
_bAmerican Mathematical Society,
_cc2010.
264 4 _a©2010.
300 _axii, 271 p. ;
_c27 cm.
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
490 1 _aGraduate studies in mathematics ;
_vv. 113
504 _aIncludes bibliographical references and index.
505 0 _aOne-dimensional Brownian motion -- Continuous time Markov chains -- Feller processes -- Interacting particle systems -- Stochastic integration -- Multi-dimensional Brownian motion and the Dirichlet problem.
520 _a'Markov processes are among the most important stochastic processes for both theory and applications. This book develops the general theory of these processes and applies this theory to various special examples. The initial chapter is devoted to the most important classical example--one-dimensional Brownian motion. This, together with a chapter on continuous time Markov chains, provides the motivation for the general setup based on semigroups and generators. Chapters on stochastic calculus and probabilistic potential theory give an introduction to some of the key areas of application of Brownian motion and its relatives. A chapter on interacting particle systems treats a more recently developed class of Markov processes that have as their origin problems in physics and biology.'--Publisher's description.
650 0 _aMarkov processes.
650 0 _aStochastic integrals.
830 0 _aGraduate studies in mathematics ;
_vv. 113.
907 _a.b16092983
_b2019-11-12
_c2019-11-12
942 _c01
_n0
_kQA274.7.L548
914 _avtls003580754
990 _abety
991 _aFakulti Sains dan Teknologi
998 _at
_b2015-12-03
_cm
_da
_feng
_griu
_y0
_z.b16092983
999 _c588372
_d588372