Complexity of some natural problems in automatic structures

We prove that the automatic isomorphism problem for automatic structures, the automatic automorphism problem for an automatic structure, and the automatic embedding problem for automatic structures are $ \overset{\lower0.5em\hbox{$ \overset{\lower0.5em\hbox{ Matematicheski $ \overset{\lower0.5em\hbox{$ \overset{\lower0.5em\hbox{ Zhurnal, Vol. 46, No. 1, pp. 71–78, January–February, 2005.     

Large deviations for random walks with nonidentically distributed jumps having infinite variance

Let = _i = 1^n _i , S_n = _k n S_k

Asymptotic Properties of the Maximum Likelihood Estimate in Generalized Linear Models with Stochastic Regressors

For generalized linear models （GLM）, in case the regressors are stochastic and have different distributions, the asymptotic properties of the maximum likelihood estimate （MLE） β^n of the parameters are studied. Under reasonable conditions, we prove the weak, strong consistency and asymptotic normality of β^n     

Existence of periodic solutions for p-Laplacian equation under the frame of Fu$ \overset{\lower0.5em\hbox{$ \overset{\lower0.5em\hbox{ik spectrum

In this paper, under the frame of Fu$ \overset{\lower0.5em\hbox{$ \overset{\lower0.5em\hbox{ik spectrum, we study the existence of periodic solutions for p-Laplacian equation by asymptotic behaviors of potential function, improve some results to some extent.