On the tradeoff between almost sure error tolerance versus mean deviation frequency in martingale convergence
LF Estrada, MA Högele, A Steinicke - arXiv preprint arXiv:2310.09055, 2023 - arxiv.org
In this article we quantify almost sure martingale convergence theorems in terms of the
tradeoff between asymptotic almost sure rates of convergence (error tolerance) and the …
tradeoff between asymptotic almost sure rates of convergence (error tolerance) and the …
Planar reinforced -out percolation
We investigate the percolation properties of a planar reinforced network model. In this
model, at every time step, every vertex chooses $ k\ge 1$ incident edges, whose weight is …
model, at every time step, every vertex chooses $ k\ge 1$ incident edges, whose weight is …
P\'olya urns on hypergraphs
P Alves, M Barros, Y Lima - arXiv preprint arXiv:2310.00159, 2023 - arxiv.org
We study P\'olya urns on hypergraphs and prove that, when the incidence matrix of the
hypergraph is injective, there exists a point $ v= v (H) $ such that the random process …
hypergraph is injective, there exists a point $ v= v (H) $ such that the random process …