24 citations · 112 across the 33 of their papers we have counts for
4 papers · 2 filters
Precise large deviations for random walk in random environment
Dariusz Buraczewski, Piotr Dyszewski
We study one-dimensional nearest neighbour random walk in site-random environment. We establish precise (sharp) large deviations in the so-called ballistic regime, when the random…
Large deviation estimates for branching random walks
Dariusz Buraczewski, Mariusz Maslanka
We consider the branching random walk drifting to and we investigate large deviations-type estimates for the first passage time. We prove the corresponding law of large n…
Precise large deviation estimates for branching process in random environment
Dariusz Buraczewski, Piotr Dyszewski
We consider the branching process in random environment , which is a~population growth process where individuals reproduce independently of each other with the r…
On perpetuities with gamma-like tails
Dariusz Buraczewski, Piotr Dyszewski, Alexander Iksanov +1
An infinite convergent sum of independent and identically distributed random variables discounted by a multiplicative random walk is called perpetuity, because of a possible actuar…