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math.NT2019
Gaps of Summands of the Zeckendorf Lattice
Neelima Borade, Dexter Cai, David Z. Chang +4
A beautiful theorem of Zeckendorf states that every positive integer has a unique decomposition as a sum of non-adjacent Fibonacci numbers. Such decompositions exist more generally…
math.PR2019
Distribution of Eigenvalues of Random Real Symmetric Block Matrices
Keller Blackwell, Neelima Borade, Charles Devlin VI +5
Random Matrix Theory (RMT) has successfully modeled diverse systems, from energy levels of heavy nuclei to zeros of -functions. Many statistics in one can be interpreted in term…