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Stochastic Fixed Point Equation with Nonnegative Coefficients

Tvrtko Tadic, Microsoft
Monday, April 22, 2019 - 2:30pm to 3:30pm
MEB 238

We are looking into solution of the stochastic fixed point equation X=AX+B with nonnenegative coefficients.

Primarily, we are interested in the behavior of the distribution of X around 0. In a recent paper it was shown that if B is an IED (inverse exponential decay) random variable, and A and B are PQD (positively quadrant dependent), then X is also an IED-random variable.

In this talk we will dive into the question about general solutions of this equation and will show what happens if A and B are not PQD. Specially, this will solve the equation that models the long term behavior of a Fleming-Viot type process. Joint work with K. Burdzy.

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