In “Curvature blow-up in perturbations of minimal cones evolving by mean curvature flow,” Velázquez constructed a countable collection flow solutions RN every dimension N?8. Each these becomes singular finite time at which the second fundamental form blows up. contrast, we confirm here that, N?8, infinitely many have uniformly bounded curvature.

Mean field approximation is a powerful technique to study the performance of large stochastic systems represented as n interacting objects. Applications include load balancing models, epidemic spreading, cache replacement policies, or large-scale data centers. asymptotically exact for composed homogeneous objects under mild conditions. In this paper, we what happens when are heterogeneous. This...