Limiting-type theorem for conditional distributions of products of independent unimodular 2×2 matrices
We consider a random process which is some version of the Brownian bridge in the space SL(2,R). Under simplifying assumptions we show that the increments of this process increase as √t as in the case of the usual Brownian motion in the Euclidean space. The main results describe the limiting distribution for properly normed increments.
KeywordsBrownian Motion Euclidean Space Random Process Conditional Distribution Brownian Bridge
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