4 papers
A Convex Maximization Problem: Continuous Case
Steven Finch
We study a specific convex maximization problem in the space of continuous functions defined on a semi-infinite interval. An unexplained connection to the discrete version of this…
A Convex Maximization Problem: Discrete Case
Steven Finch
We study a specific convex maximization problem in n-dimensional space. The conjectured solution is proved to be a vertex of the polyhedral feasible region, but only a partial proo…
Zero Divisors in Associative Algebras over Infinite Fields
Michael Schweitzer, Steven Finch
Let F be an infinite field. We prove that the right zero divisors of a three-dimensional associative F-algebra A must form the union of at most finitely many linear subspaces of A.…
Several Constants Arising in Statistical Mechanics
Steven R. Finch
This is a brief survey of certain constants associated with random lattice models, including self-avoiding walks, polyominoes, the Lenz-Ising model, monomers and dimers, ice models…