We prove a moderate deviation principle for a super-Brownian motion with immigration of all dimensions, and consequently fill the gap between the central limit theorem and large deviation principle.
In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise....In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise.Here,we adopt a new sufficient condition for the weak convergence criterion of the large deviation principle,which was initially proposed by Matoussi,Sabbagh and Zhang(2021).展开更多
Thickness deviation of hot strip rolling needs to be strictly controlled in the computer system. An adaptive threading technique was researched, in which the measured data from threaded stands were used to predict thi...Thickness deviation of hot strip rolling needs to be strictly controlled in the computer system. An adaptive threading technique was researched, in which the measured data from threaded stands were used to predict thickness and material hardness errors, to modify the setup for the remaining unthreaded stands. After the adaptive threading model was used online on the hot strip mill of the Panzhihua Iron and Steel Group Co Ltd, the thickness deviation was decreased obviously. The hit rate of thickness control of different steel grades increases.展开更多
We represent the exponential moment of the Brownian functionals under a nonlinear expectation according to the solution to a backward stochastic differential equation.As an application,we establish a large deviation p...We represent the exponential moment of the Brownian functionals under a nonlinear expectation according to the solution to a backward stochastic differential equation.As an application,we establish a large deviation principle of the Freidlin and Wentzell type under the corresponding nonlinear probability for diffusion processes with a small diffusion coefficient.展开更多
Kinetic theory of electron cyclotron resonance maser (ECRM) with axial deviation between electron beam and cavity has been worked out. The dispersion equation of ECRM as well as the formulae of the starting current an...Kinetic theory of electron cyclotron resonance maser (ECRM) with axial deviation between electron beam and cavity has been worked out. The dispersion equation of ECRM as well as the formulae of the starting current and the frequency shift of gyromonotron is given in the paper with detailed discussion. Numerical calculations are also given. The results indicate that the eccentricity of electron beam gives serious influences on the parameters of the gyrotron.展开更多
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.10071008 and 10121101).
文摘We prove a moderate deviation principle for a super-Brownian motion with immigration of all dimensions, and consequently fill the gap between the central limit theorem and large deviation principle.
基金partially supported by the National Natural Science Foundation of China(11871382,12071361)partially supported by the National Natural Science Foundation of China(11971361,11731012)。
文摘In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise.Here,we adopt a new sufficient condition for the weak convergence criterion of the large deviation principle,which was initially proposed by Matoussi,Sabbagh and Zhang(2021).
基金National Natural Science Foundation of China (50104004)
文摘Thickness deviation of hot strip rolling needs to be strictly controlled in the computer system. An adaptive threading technique was researched, in which the measured data from threaded stands were used to predict thickness and material hardness errors, to modify the setup for the remaining unthreaded stands. After the adaptive threading model was used online on the hot strip mill of the Panzhihua Iron and Steel Group Co Ltd, the thickness deviation was decreased obviously. The hit rate of thickness control of different steel grades increases.
基金supported by National Natural Science Foundation of China (Grant No.10921101)WCU program of the Korea Science and Engineering Foundation (Grant No. R31-20007)National Science Foundation of US (Grant No. DMS-0906907)
文摘We represent the exponential moment of the Brownian functionals under a nonlinear expectation according to the solution to a backward stochastic differential equation.As an application,we establish a large deviation principle of the Freidlin and Wentzell type under the corresponding nonlinear probability for diffusion processes with a small diffusion coefficient.
文摘Kinetic theory of electron cyclotron resonance maser (ECRM) with axial deviation between electron beam and cavity has been worked out. The dispersion equation of ECRM as well as the formulae of the starting current and the frequency shift of gyromonotron is given in the paper with detailed discussion. Numerical calculations are also given. The results indicate that the eccentricity of electron beam gives serious influences on the parameters of the gyrotron.
