The concepts of Markov process in random environment, q-matrix in random environment, and q-process in random environment are introduced. The minimal q-process in random environment is constructed and the necessary an...The concepts of Markov process in random environment, q-matrix in random environment, and q-process in random environment are introduced. The minimal q-process in random environment is constructed and the necessary and sufficient conditions for the uniqueness of q-process in random environment are given.展开更多
This paper introduces some concepts such as q- process in random environment, Laplace transformation, ergodic potential kernel, error function and some basic lemmas.We study the continuity and Laplace transformation o...This paper introduces some concepts such as q- process in random environment, Laplace transformation, ergodic potential kernel, error function and some basic lemmas.We study the continuity and Laplace transformation of random transition function. Finally, we give the sufficient condition for the existence of ergodic potential kernel for homogeneous q- processes in random environments.展开更多
This article is a continuation of[9].Based on the discussion of random Kolmogorov forward（backward）equations,for any given q-matrix in random environment, Q（θ）=（q（θ;x,y）,x,y∈X）,an infinite class of q-proces...This article is a continuation of[9].Based on the discussion of random Kolmogorov forward（backward）equations,for any given q-matrix in random environment, Q（θ）=（q（θ;x,y）,x,y∈X）,an infinite class of q-processes in random environments satisfying the random Kolmogorov forward（backward）equation is constructed.Moreover, under some conditions,all the q-processes in random environments satisfying the random Kolmogorov forward（backward）equation are constructed.展开更多
We introduce some basic concepts such as random (sub-)transition function,q-function in random environment, q-process in random environment and some basic lemmas. For any continuous q-function in random environment, w...We introduce some basic concepts such as random (sub-)transition function,q-function in random environment, q-process in random environment and some basic lemmas. For any continuous q-function in random environment, we prove that the q-process in random environment always exists, and that any q-process in random environment satisfies the random Kolmogorov backward equation and the minimal q-process in random environment always exists. When q is a continuous and conservative q-function in random environment, the necessary and sufficient conditions for the uniqueness of q-process in random environment are given. Finally the special cases, homogeneous random transition functions and homogeneous q-processes in random environments are considered.展开更多
研究了一步淬火配分(Quenching and partitioning,Q&P)和两步Q&P工艺对430铁素体不锈钢微观组织与力学性能的影响。结果表明,经两步Q&P处理后,430铁素体不锈钢形成了铁素体、马氏体和残留奥氏体复相组织;而经一步Q&P工...研究了一步淬火配分(Quenching and partitioning,Q&P)和两步Q&P工艺对430铁素体不锈钢微观组织与力学性能的影响。结果表明,经两步Q&P处理后,430铁素体不锈钢形成了铁素体、马氏体和残留奥氏体复相组织;而经一步Q&P工艺处理后,仅形成铁素体和马氏体双相组织。在一步Q&P工艺中,由于碳原子的扩散速率较低,无论是调控配分时间还是配分温度,均未能使残留奥氏体稳定保留至室温。经一步Q&P工艺处理后,试样的强塑积范围为9.3~11.4 GPa·%,而经过两步Q&P工艺处理后,试样的强塑积为17.0 GPa·%。残留奥氏体的存在显著提升了材料的塑性和强塑积。尽管一步Q&P工艺具有简便高效的优势,但并不适用430铁素体不锈钢的性能优化。展开更多
文摘The concepts of Markov process in random environment, q-matrix in random environment, and q-process in random environment are introduced. The minimal q-process in random environment is constructed and the necessary and sufficient conditions for the uniqueness of q-process in random environment are given.
基金Supported by the National Natural Science Foundation of China (10371092)
文摘This paper introduces some concepts such as q- process in random environment, Laplace transformation, ergodic potential kernel, error function and some basic lemmas.We study the continuity and Laplace transformation of random transition function. Finally, we give the sufficient condition for the existence of ergodic potential kernel for homogeneous q- processes in random environments.
基金the NNSF of China(10371092,10771185,10471148)the Foundation of Wuhan University
文摘This article is a continuation of[9].Based on the discussion of random Kolmogorov forward（backward）equations,for any given q-matrix in random environment, Q（θ）=（q（θ;x,y）,x,y∈X）,an infinite class of q-processes in random environments satisfying the random Kolmogorov forward（backward）equation is constructed.Moreover, under some conditions,all the q-processes in random environments satisfying the random Kolmogorov forward（backward）equation are constructed.
基金This work was supported by the National Natural Science Foundation of China(Grant No:10371092)the Foundation of Wuhan University.
文摘We introduce some basic concepts such as random (sub-)transition function,q-function in random environment, q-process in random environment and some basic lemmas. For any continuous q-function in random environment, we prove that the q-process in random environment always exists, and that any q-process in random environment satisfies the random Kolmogorov backward equation and the minimal q-process in random environment always exists. When q is a continuous and conservative q-function in random environment, the necessary and sufficient conditions for the uniqueness of q-process in random environment are given. Finally the special cases, homogeneous random transition functions and homogeneous q-processes in random environments are considered.
文摘研究了一步淬火配分(Quenching and partitioning,Q&P)和两步Q&P工艺对430铁素体不锈钢微观组织与力学性能的影响。结果表明,经两步Q&P处理后,430铁素体不锈钢形成了铁素体、马氏体和残留奥氏体复相组织;而经一步Q&P工艺处理后,仅形成铁素体和马氏体双相组织。在一步Q&P工艺中,由于碳原子的扩散速率较低,无论是调控配分时间还是配分温度,均未能使残留奥氏体稳定保留至室温。经一步Q&P工艺处理后,试样的强塑积范围为9.3~11.4 GPa·%,而经过两步Q&P工艺处理后,试样的强塑积为17.0 GPa·%。残留奥氏体的存在显著提升了材料的塑性和强塑积。尽管一步Q&P工艺具有简便高效的优势,但并不适用430铁素体不锈钢的性能优化。
