25 citations · 92 across the 22 of their papers we have counts for
22 papers
Invariant polynomials, gaps, and sparseness
John P. D'Angelo, Dusty E. Grundmeier, Daniel A. Lichtblau
We consider each of the three classes of representations of cyclic groups that arise in the study of rational sphere maps. We study the possible number of terms for invariant polyn…
Integer Sequences and Output Arrays
John P. D'Angelo, Jiri Lebl
The first author recently introduced an integer sequence now numbered A355519 in OEIS. This sequence arose from counting bracket tournaments; its study evokes the analysis of the C…
Rational sphere maps, linear programming, and compressed sensing
John P. D'Angelo, Dusty Grundmeier, Jiri Lebl
We develop a link between degree estimates for rational sphere maps and compressed sensing. We provide several new ideas and many examples, both old and new, that amplify connectio…
Symmetries and regularity for holomorphic maps between balls
John P. D'Angelo, Ming Xiao
Let be a holomorphic map. We study subgroups and . When is…
A remark on finite type conditions
John P. D'Angelo
We prove that a certain positivity condition, considerably more general than pseudoconvexity, enables one to conclude that the regular order of contact and singular order of contac…
On the classification of rational sphere maps
John P. D'Angelo
We prove a new classification result for (CR) rational maps from the unit sphere in some to the unit sphere in . To so so, we work at the level of He…