PROBLEM: Poissonian and Non-Poissonian Behavior in {n^k alpha}

INVESTIGATOR: Nathan Miller

DESCRIPTION: The ordered spacings between {n^2 alpha}, n ranging from 1 to
N_m, are known to have non-Poissonian behavior for certain N_m. An analysis was
made of the length around these N_m one must travel before recovering Poissonian
behavior. Additionally, the ordered spacings were studied for n ranging from N to
N+M for M much smaller than N. For such small ranges, nothing is known theoretically
about how the spacings should behave.

PAPERS: nonpoisspaper.dvi    nonpoisspaper.pdf    nonpoisspaper.tex

cumprob_eta_gr1.eps   cumprob5beta_gr1.eps   discplot4beta_gr1.eps   discploteta_gr1.eps

PROGRAMS: etacalc.nb   gammacalc.nb    seminarprog.nb    notebooks.zip

 

INVESTIGATOR: Gloria Boyd

DESCRIPTION: The ordered spacings between {n^2 alpha} and {n^3 alpha} are
studied for various choices of alpha, and compared to Poissonian Satistics.

PAPERS:  gloria2.dvi   gloria2.tex

PROGRAMS:   finalproject01.eps  02.eps  03.eps  05.eps  06.eps  07.eps  201.eps  202.eps

PROGRAMS: Part1finalproject.mws  Part2.mws  Part3.mws   Part4.mws  Part5.mws  finalproject2.mws