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math.PR2019
SINR percolation for Cox point processes with random powers
Benedikt Jahnel, András Tóbiás
Signal-to-interference plus noise ratio (SINR) percolation is an infinite-range dependent variant of continuum percolation modeling connections in a telecommunication network. Unli…
math.PR2019
Lower large deviations for geometric functionals
Christian Hirsch, Benedikt Jahnel, András Tóbiás
This work develops a methodology for analyzing large-deviation lower tails associated with geometric functionals computed on a homogeneous Poisson point process. The technique appl…
math.PR2019
Invasion and fixation of microbial dormancy traits under competitive pressure
Jochen Blath, András Tóbiás
Microbial dormancy is an evolutionary trait that has emerged independently at various positions across the tree of life. It describes the ability of a microorganism to switch to a…