25 citations
15 papers
The sum-product problem for small sets
Ginny Ray Clevenger, Haley Havard, Patch Heard +3
For , let and . For , let denote the minimum value of over all $A…
Schur's theorem in integer lattices
Vishal Balaji, Andrew Lott, Alex Rice
A standard proof of Schur's Theorem yields that any -coloring of yields a monochromatic solution to , where is the classical -color Ramsey…
Sets in determining taxicab distances
Vajresh Balaji, Olivia Edwards, Anne Marie Loftin +4
We address an analog of a problem introduced by Erdős and Fishburn, itself an inverse formulation of the famous Erdős distance problem, in which the usual Euclidean distance is rep…
On Single Particle Energies and Nuclear g Factors
Shadow Robinson, Larry Zamick
If we add one neutron to doubly magic ^{100}Sn, we can associate the low lying states in^{101} Sn with single particle states.The the J=5/2^{+} and J= 7/2^{+} states are identified…
Counterintuitive Behaviors in Configuration Mixing
Xiaofei Yu, Larry Zamick, Shadow Robinson
By starting with a simple configurations of 2 neutrons in a single j shell we hare able to learn the effects of high lying configurations on physical properties such as nuclear mag…
Consequences of omitting spin-orbit partner configurations on B(E2)'s and quadrupole moments in nuclei
Larry Zamick, Yitzhak Sharon, Shadow Robinson +1
Calculations of B(E2)'s and quadruplole moments in the g_{9/2 region below ^{100} Sn are hampered by the fact that the inclusion of the g_{7/2}configuration leads to model spaces t…