no code implementations • 11 Feb 2021 • Keller Blackwell, Neelima Borade, Arup Bose, Charles Devlin VI, Noah Luntzlara, Renyuan Ma, Steven J. Miller, Soumendu Sundar Mukherjee, Mengxi Wang, Wanqiao Xu
For definiteness we concentrate on the ensemble of palindromic real symmetric Toeplitz (PST) matrices and the ensemble of real symmetric matrices, whose limiting spectral measures are the Gaussian and semi-circular distributions, respectively; these were chosen as they are the two extreme cases in terms of moment calculations.
Probability 15A52 (primary), 60F99, 62H10 (secondary)
no code implementations • 28 Oct 2020 • Yanan Jiang, Steven J. Miller
In this paper, we generalize their results in two directions: by raising prime factors to a power and allowing a small difference between $f(n)$ and $f(n+1)$.
Number Theory 11N05 (primary), 11N56, 11P32 (secondary)
no code implementations • 26 Sep 2020 • Elżbieta Bołdyriew, Anna Cusenza, Linglong Dai, Pei Ding, Aidan Dunkelberg, John Haviland, Kate Huffman, Dianhui Ke, Daniel Kleber, Jason Kuretski, John Lentfer, Tianhao Luo, Steven J. Miller, Clayton Mizgerd, Vashisth Tiwari, Jingkai Ye, Yunhao Zhang, Xiaoyan Zheng, Weiduo Zhu
We show that the game is finite and ends at the unique decomposition of $n$, and that either player can win in a two-player game.
Number Theory
2 code implementations • 19 Sep 2019 • Sara Fish, Dylan King, Steven J. Miller, Eyvindur A. Palsson, Catherine Wahlenmayer
We prove that for $n \geq 7$, every line-like crescent configuration of size $n$ in the Chebyshev norm must have a rigid structure.
Combinatorics
1 code implementation • 1 Sep 2019 • Hallee E. Wong, Brianna C. Heggeseth, Steven J. Miller
We found substituting ICD majors for the CoFA-identified clusters simplified the model without compromising the accuracy of predictions.
1 code implementation • 29 Sep 2005 • Steven J. Miller
RA) is the mean of the random variable corresponding to runs scored (allowed), and RS - b (resp.
Statistics Theory History and Overview Statistics Theory