We correct an error in Lemma 2.3 our paper with the above title, published J. Geom. Anal. 30: 223–247.

A special class of differentiable functions on an infinite integral domain which is not a field is introduced. Some facts about these functions are established and the special case of z is studied in more detail

We study first-passage properties for a particle that diffuses either inside or outside of generalized paraboloids, defined by y = a(x1 + · · ·+ xd−1) where p > 1, with absorbing boundaries. When the particle is inside the paraboloid, the survival probability S(t) generically decays as a stretched exponential, lnS ∼ −t(p−1)/(p+1), independent of the spatial dimension. For a particle outside the...

Many important tasks can be cast as weighted relational satisfiability problems. Propositionalizing relational theories and making inferences with them using SAT algorithms has proven effective in many cases. However, these approaches require that all objects in a domain be known in advance. Many domains, from language understanding to machine vision, involve reasoning about objects that are no...

Numerical methods (finite element methods) for the approximate solution of elliptic partial differential equations on unbounded domains are considered, and error bounds, with respect to the number of unknowns which have to be determined, are proven.