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THREE PROBLEMS IN SEARCHING FOR A MOVING TARGET BETWEEN TWO SITES: 《Acta Mathematica Scientia》2015年第2期359-365,共7页余旌胡叶文敏; Suppose that a moving target moves randomly between two sites and its movement is modeled by a homogeneous Markov chain. We consider three classical problems：（1） what kind of strategies are valid？（2） what stra...; 关键词：Search theory moving target Markov chain

MULTI-DIMENSIONAL MARKOV CHAIN–BASED ANALYSIS OF CONFLICT PROBABILITY FOR SPECTRUM RESOURCE SHARING: 《Acta Mathematica Scientia》2015年第1期207-215,共9页张轶喻莉张利维; supported in part by the National Natural Science Foundation of China(60972016,61231010);the Funds of Distinguished Young Scientists(2009CDA150);China-Finnish Cooperation Project(2010DFB10570);Specialized Research Fund for the Doctoral Program of Higher Education(20120142110015); In this paper, we consider the optimal problem of channels sharing with het-erogeneous traffic （real-time service and non-real-time service） to reduce the data conflict probability of users. Moreover, a multi-dimens...; 关键词：multi-dimensional Markov chain model independent Poisson process negative exponential distribution forced termination probability blocking probability

EVOLUTIONARY DYNAMICS ON ONE-DIMENSIONAL CYCLE WITH SHIFTING MECHANISM AND TINY MUTATION RATE被引量：1: 《Acta Mathematica Scientia》2015年第1期95-104,共10页王先甲兰军董前进雷国梁; Supported by National Natural Science Foundation of China(71231007,50909073); In this paper we study the impact of tiny mutation on the evolutionary dynamics on one-dimensional cycle with shifting mechanism. The evolutionary success is evaluated by investigating the stationary distribution of t...; 关键词：evolutionary games Moran process Markov chain prisoner＇s dilemma game

DOUBLE-MARKOV RISK MODEL: 《Acta Mathematica Scientia》2013年第2期333-340,共8页莫晓云周杰明欧辉杨向群; supported by NSFC (11171101, 11271121);Doctoral Fund of Education Ministry of China (20104306110001);Scientific Research Fund of Hunan Provincial Education Department (12C0562); Given a new Double-Markov risk model DM = （μ, Q, v, H; Y, Z） and Double-Markov risk process U = {U（t）, t 〉 0}. The ruin or survival problem is addressed. Equations which the survival probability satisfied and th...; 关键词：Q process Markov chain Double-Markov risk characterization survival prob-ability recursion formula

MARKOV CHAIN INVERSION APPROACH TO IDENTIFY THE TRANSITION RATES OF ION CHANNELS被引量：3: 《Acta Mathematica Scientia》2012年第5期1703-1718,共16页向绪言邓迎春杨向群; Supported by National Natural Science Foundation of China (10871054;11171101);Provincial Natural Science Foundation of Hunan (09JJ6016);Scientific Research Fund of Hunan Provincial Education Department (10B073); We consider how to identify the transition rates of ion channels with the underlying scheme which is kinetically modelled as time-homogeneous Markov chain. A Markov chain inversion approach is developed to perform a d...; 关键词：Maxkov chain transition rate INVERSION lifetime distribution

MARKOV-MODULATED MEAN-VARIANCE PROBLEM FOR AN INSURER被引量：2: 《Acta Mathematica Scientia》2011年第3期1051-1061,共11页王伟毕俊娜; supported by National Basic Research Program of China(973 Program)(2007CB814905);the National Natural Science Foundation of China(10871102);the Research Fund for the Doctorial Program of Higher Education; In this paper, we consider an insurance company which has the option of investing in a risky asset and a risk-free asset, whose price parameters are driven by a finite state Markov chain. The risk process of the insur...; 关键词：Markov chain MEAN-VARIANCE efficient strategy efficient frontier Lagrange multiplier

STABILITY OF THE LCD MODEL: 《Acta Mathematica Scientia》2010年第5期1523-1528,共6页候振挺谭利史定华; Supported by the National Natural Science Foundation of China(10671212,60874083,10872119); The growing network model with loops and multiple edges proposed by Bollobes et al. （Random Structures and Algorithms 18（2001）） is restudied from another perspective. Based on the first-passage probability of Mark...; 关键词：Markov chain STABILITY POWER-LAW

ON MARKOV CHAINS IN SPACE-TIME RANDOM ENVIRONMENTS被引量：7: 《Acta Mathematica Scientia》2009年第1期1-10,共10页胡迪鹤胡晓予; Supported by the National Natural Science Foundation of China (10771185 and 10871200); In Section 1, the authors establish the models of two kinds of Markov chains in space-time random environments (MCSTRE and MCSTRE(+)) with abstract state space. In Section 2, the authors construct a MCSTRE and a MCSTR...; 关键词：Random Markov kernel Markov chain in space-time random environemnt random walk in space-time random environment Markov branching chain in space-time random environment

THE CONSTRUCTION OF MULTITYPE CANONICAL MARKOV BRANCHING CHAINS IN RANDOM ENVIRONMENTS被引量：2: 《Acta Mathematica Scientia》2006年第3期431-442,共12页胡迪鹤; Project supported by the National Natural Science Foundation of China and the Foundation of Wuhan University; The investigation for branching processes has a long history by their strong physics background, but only a few authors have investigated the branching processes in random environments. First of all, the author introd...; 关键词：Random Markov matrix Markov chain in random environment Markov branching chain in random environment canonical Markov branching chain in random environment generator random variables

THE DECOMPOSITION OF STATE SPACE FOR MARKOV CHAIN IN RANDOM ENVIRONMENT被引量：6: 《Acta Mathematica Scientia》2005年第3期555-568,共14页胡迪鹤; Supported by the National Natural Science Foundation of China (10371092) and the Foundation of Wuhan University.; This paper is a continuation of [8] and [9]. The author obtains the decomposition of state space X of an Markov chain in random environment by making use of the results in [8] and [9], gives three examples, random wal...; 关键词：Markov chain in random environment recurrent state transient state DECOMPOSITION

MARKOV_CHAIN