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A spatially nonhomogeneous random walk t on the grid =m X n is considered. Let t
0 be a random walk homogeneous in time and space, and let t be obtained from it by changing transition probabilities on the set A= X n, || < , so that the walk remains homogeneous only with respect to the subgroup n of the group . It is shown that if >m 2 or the drift is distinct from zero, then the central limit theorem holds for t. 相似文献
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D. A. Yarotskii 《Mathematical Notes》1999,66(3):372-383
A nonhomogeneous random walk on the grid ℤ1 with transition probabilities that differ from those of a certain homogeneous random walk only at a finite number of points
is considered. Trajectories of such a walk are proved to converge to trajectories of a certain generalized diffusion process
on the line. This result is a generalization of the well-known invariance principle for the sums of independent random variables
and Brownian motion.
Translated fromMatematicheskie Zametki, Vol. 66, No. 3, pp. 459–472, September, 1999. 相似文献
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Conclusions A spectrophotometric method was proposed for the separate determination of hexoses and pentoses when jointly present, which is based on the difference in the absorption spectra of the reaction products of these sugars with o-toluidine reagent.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 4, pp. 877–880, April, 1974. 相似文献
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Conclusions A convenient method was proposed for obtaining cyclic O-benzylidene acetals of sugars.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 9, pp. 2160–2161, September, 1977. 相似文献
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