76 citations · 533 across the 32 of their papers we have counts for
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math.CO2016★ 32 cited
Upper tails for arithmetic progressions in random subsets
Lutz Warnke
We study the upper tail of the number of arithmetic progressions of a given length in a random subset of {1,...,n}, establishing exponential bounds which are best possible up to co…
math.PR2016★ 11 cited
On the missing log in upper tail estimates
Lutz Warnke
In the late 1990s, Kim and Vu pioneered an inductive method for showing concentration of certain random variables X. Shortly afterwards, Janson and Ruci{ń}ski developed an alternat…
math.PR2016★ 11 cited
On the critical probability in percolation
Svante Janson, Lutz Warnke
For percolation on finite transitive graphs, Nachmias and Peres suggested a characterization of the critical probability based on the logarithmic derivative of the susceptibility.…