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Abstract: We consider the dynamics of a tagged particle in an infinite particle environment moving according to a stochastic gradient dynamics. For singular interaction potentials this tagged particle...
In [12] we obtained a functional central limit theorem (known also as a weak invariance principle) for sums of the form P[Nt] n=1 F􀀀X(n),X(2n), ...,X(kn),X(qk+1(n)),X(qk+2(n)),
An invariance principle for processes indexed by two parameters and some statistical applications。
On a limit theorem and invariance principle for symmetric statistics。
We consider stationary homogeneous Markov chains and the polygonal processes defined by a usual way using such chains. There are many results about invariance principles of those processes. In this...
We study the relationship between the distribution of the supremum functional M, = sup,,,,,(X(t)-fit) for a process X with stationary, but not necessarily independent increments, and the I limiting...
The central limit theorem for the product of sums of various random variables has been studied in a variety of settings. The purpose of this note is to show that this kind of result is a corollary of ...
In this paper, we obtain the invariance principle for linear processes generated by a negatively associated sequence.

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