Steven J. Miller

activity

20242026

collaborators

6 papers

math.CO2026

Braess' Paradox in Uniform Affine Grid Networks

Andy Lu, Steven J. Miller

Braess' Paradox is the phenomenon in which adding an edge to a congestion network increases total travel time. We study the paradox in directed rectangular grids where every edge s…

math.PR2025

The Limiting Spectral Distribution of Various Matrix Ensembles Under the Anticommutator Operation

Glenn Bruda, Bruce Fang, Raul Marquez +6

Inspired by the quantization of classical quantities and Rankin Selberg convolution, we study the anticommutator operation ${\cdot, \cdot}$ , where ${A, B} = A B + B A$ , applied to…

q-bio.PE2024

Leslie Population Models in Predator-prey and Competitive populations: theory and applications by machine learning

Pico Gilman, Steven J. Miller, Daeyoung Son +2

We introduce a new predator-prey model by replacing the growth and predation constant by a square matrix, and the population density as a population vector. The classical Lotka-Vol…

math.CO2024

Hyper-bishops, Hyper-rooks, and Hyper-queens: Percentage of Safe Squares on Higher Dimensional Chess Boards

Caroline Cashman, Joseph Cooper, Raul Marquez +2

The $n$ queens problem considers the maximum number of safe squares on an $n \times n$ chess board when placing $n$ queens; the answer is only known for small $n$ . Miller, Sheng an…

math.CO2024

A closed formula for linear recurrences with constant coefficients

Glenn Bruda, Bruce Fang, Pico Gilman +6

Given a linear recurrence of the form $c_{n} = a_{1} c_{n - 1} + \dots + a_{j} c_{n - j}$ , it is well-known that $c_{n} = \sum_{r} p_{r} (n) r^{n}$ , where the sum is taken over the set of characteristic root…

math.CO2024

Variants of Conway Checkers and k-nacci Jumping

Glenn Bruda, Joseph Cooper, Kareem Jaber +2

Conway Checkers is a game played with a checker placed in each square of the lower half of an infinite checkerboard. Pieces move by jumping over an adjacent checker, removing the c…