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{\Large Department of Mathematics, BGU}

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{\Huge BGU Probability and Ergodic Theory  (PET) seminar}\\[0.2\baselineskip]

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\textbf{On} \emph{Tuesday, December  5, 2017}
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\textbf{At} \emph{11:00 -- 12:00}
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\textbf{In} \emph{201}

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{\large\scshape Oliver Sargent}
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will talk about
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{\Large\bfseries Random walks on primitive lattice points\par}
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\textsc{Abstract:}
Random walks on lattices have been studied for decades and are by now
very well understood. In this talk we will define a random walk on the
primitive points of a lattice and discuss its properties. The random
walk is obtained in a similar manner to the classical one with the
difference that one divides by the gcd at each step.
Subject to suitable conditions on the measure generating the walk,
we will see how these random walks correspond to positive recurrent
Markov chains. In particular we will see that there is a unique
stationary distribution for these random walks.








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