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Distribution of Eigenvalues for the Ensemble of Real
Symmetric Toeplitz Matrices

- Christopher N. B. Hammond, S. Miller
- Mathematics
- 1 July 2005

AbstractConsider the ensemble of real symmetric Toeplitz matrices whose entries are
i.i.d. random variable from a fixed probability distributionpof mean 0,variance 1, and finite moments of all order.… Expand

Explicit Constructions of Infinite Families of MSTD Sets

- S. Miller, Brooke Orosz, Daniel Scheinerman
- Mathematics
- 26 September 2008

An Invitation to Modern Number Theory

- S. Miller, Ramin Takloo-Bighash
- Education
- 21 July 2020

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Investigations of Zeros near the Central Point of Elliptic Curve L-Functions

- S. Miller
- MathematicsExp. Math.
- 8 August 2005

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A Derivation of the Pythagorean Won-Loss Formula in Baseball

- S. Miller
- Mathematics
- 29 September 2005

It has been noted that in many professional sports leagues a good predictor of a team’s end of season won-loss percentage is Bill James’ Pythagorean Formula RSobs γ RSobs +RAobs γ , where RSobs… Expand

One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries

- S. Miller
- MathematicsCompositio Mathematica
- 12 October 2003

Following Katz–Sarnak, Iwaniec–Luo–Sarnak and Rubinstein, we use the one- and two-level densities to study the distribution of low-lying zeros for one-parameter rational families of elliptic curves… Expand

Introduction to: 1- and 2-Level Densities for Families of Elliptic Curves: Evidence for the Underlying Group Symmetries

- S. Miller
- Mathematics
- 2003

Following Rubinstein [Ru], Iwaniec-Luo-Sarnak [ILS], and Katz-Sarnak [KS1], [KS2], we use the 1and 2-level densities to study the distribution of low lying zeros for families of elliptic curves. For… Expand

A Symplectic Test of the L-Functions Ratios Conjecture

- S. Miller
- Mathematics
- 6 April 2007

Recently Conrey, Farmer and Zirnbauer [8, 9] conjectured formulas for the averages over a family of ratios of products of shifted L-functions. Their L-functions Ratios Conjecture predicts both the… Expand

Benford’s Law Applied to Hydrology Data—Results and Relevance to Other Geophysical Data

- M. Nigrini, S. Miller
- Environmental Science
- 29 August 2007

Abstract
Benford’s Law gives the expected frequencies of the digits in tabulated data and asserts that the lower digits (1, 2, and 3) are expected to occur more frequently than the higher digits.… Expand

The Distribution of the Largest Nontrivial Eigenvalues in Families of Random Regular Graphs

- S. Miller, Tim Novikoff, Anthony Sabelli
- MathematicsExp. Math.
- 1 January 2008

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