50 citations · 162 across the 31 of their papers we have counts for
4 papers · 1 filter
Null-recurrence and transience of random difference equations in the contractive case
Gerold Alsmeyer, Dariusz Buraczewski, Alexander Iksanov
Given a sequence of independent, identically distributed ran\-dom vectors with nonnegative components, we consider the recursive Markov chain $(X_{n})_{n\…
Stability of perpetuities in Markovian environment
Gerold Alsmeyer, Fabian Buckmann
The stability of iterations of affine linear maps , , is studied in the presence of a Markovian environment, more precisely, for the situation…
Fluctuation theory for Markov random walks
Gerold Alsmeyer, Fabian Buckmann
Two fundamental theorems by Spitzer/Erickson and Kesten/Maller on the fluctuation type (positive divergence, negative divergence or oscillation) of a real-valued random walk $(S_{n…
Leader election using random walks
Gerold Alsmeyer, Zakhar Kabluchko, Alexander Marynych
In the classical leader election procedure all players toss coins independently and those who get tails leave the game, while those who get heads move to the next round where the p…