000 01316nam a2200217 4500
005 20251112211412.0
008 250310b |||||||| |||| 00| 0 eng d
020 _a9781944660512
041 _aeng
082 _a519.2
_bCheI
100 _aChen, Mu-Fa
245 _aIntroduction to Stochastic Processes /
_cMu-Fa Chen and Yong-Hua Mao
260 _aBeijing :
_bHigher Education Press Limited Company,
_c©2023
300 _a230p.
440 _aWorld Scientific Series on Probability Theory and its Applications
_vv.2
520 _aThis book introduces stochastic processes in a concise manner, focusing on Markov chains and stochastic analysis. It covers ergodicity, recurrence, and various types of ergodicity using modern techniques like coupling and duality methods. The book also covers martingale theory, Brownian motions, stochastic integral, stochastic differential equations, and multidimensional stochastic integral and equations. It introduces topics like the Feynman-Kac formula, random time transform, and Girsanov transform, and the Brunn-Minkowski inequality in convex geometry. The book also features modern probability theory used in fields like MCMC and convex geometry and number theory.
650 _aStochastic Processes
650 _aMathematics
700 _aMao, Yong-Hua
942 _cBK
999 _c7010
_d7010