000 a
999 _c31930
_d31930
008 230419b xxu||||| |||| 00| 0 eng d
020 _a9781944660512
082 _a519.23
_bCHE
100 _aChen, Mu-Fa
245 _aIntroduction to stochastic processes
260 _bWorld Scientific,
_aNew Jersey :
_c2023
300 _axiii, 230 p. ;
_bill.,
_c23 cm
365 _b1195.00
_cINR
_d01
490 _aWorld scientific series on probability theory and its applications, 2737-4467 ;
_vv2
504 _aIncludes bibliographical references and index.
520 _aThe book is so concise to cover the most important parts in stochastic processes: Markov chains and stochastic analysis. Some modern and new materials are included, such as the estimation of the first non-trivial eigenvalue and the Brunn-Minkowski inequality. The book provides abundant exercises for students, regarded as supplements to the main body of the book as well.
650 _aMarkov chains
650 _aDifferential equations
650 _aBranching process
650 _aBrunn-Minkowski's inequality
650 _aCollapse theorem
650 _aDoob's stopping theorem
650 _aEconomic model
650 _aErgodicity
650 _aFeynmann-Kac formula
650 _aGronwall's lemma
650 _a Hamilton -Jacobi-Bellman equation
650 _a Ito's formula
650 _a Kolmogorov backward equation
650 _a Person-Frobenius theorem
650 _aQueueing theory
650 _aSingle birth process
650 _aTransition probability matrix
650 _aUniqueness
700 _aMao, Yong-Hua
942 _2ddc
_cBK