Explicit bounds for multidimensional linear recurrences with restricted coefficients
KS Berenhaut, JD Foley - Journal of Mathematical Analysis and …, 2006 - Elsevier
This note employs path counting techniques to extend recent results on bounds for odd
order linear recurrences to higher dimensions. The results imply optimal zero-free polydisks …
order linear recurrences to higher dimensions. The results imply optimal zero-free polydisks …
[PDF][PDF] Applications of recurrence bounds to networks and paths
KS Berenhaut, JD Foley - International Journal of Applied …, 2006 - researchgate.net
This note provides an equivalence between bounds for linear recurrences and results for a
model of network flow, wherein a signal is propagated over a series of repeaters with …
model of network flow, wherein a signal is propagated over a series of repeaters with …
[HTML][HTML] Bounds for fourth-order [0, 1] difference equations
KS Berenhaut, BG Gibson, JH Newman… - … & Mathematics with …, 2007 - Elsevier
This note examines bounds for fourth-order linear difference equations with coefficients
restricted to the unit interval. It is shown that all solutions are of order strictly less than (3/2) n …
restricted to the unit interval. It is shown that all solutions are of order strictly less than (3/2) n …
[PDF][PDF] Bounds for Recurrences on Ranked Posets
KS Berenhaut, AB O'Keefe, F Saidak - Int. J. Contemp. Math …, 2007 - libres.uncg.edu
This note considers an extension of the concept of linear recurrence to recurrences on
ranked posets. Some results on growth rates in the linear case are then extended to this …
ranked posets. Some results on growth rates in the linear case are then extended to this …