Bryce A. Christopherson

works on

Čech cohomology 1 feedback stabilization 1 nonlinear control 1 topological obstruction 1 Vietoris-Begle theorem 1

From the 1 of 7 linked papers with an AI index.

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math.CO2026

Conditional Park--Pham Bounds under Positive Correlation

Bryce Alan Christopherson, Darian Colgrove

We record a conditional form of the $I^µ$ -dependent Park--Pham theorem. If a monotone property $F \subseteq 2^{X}$ is positively correlated with a conditioning event $B\subse…

math.CO2025

Bounds on the Threshold Ramsey Multiplicity of Ramsey Numbers with Many Colors

Bryce Christopherson, Casia Steinhaus

The Ramsey number $R (s, t)$ is the least integer $n$ such that any coloring of the edges of $K_{n}$ with two colors produces either a monochromatic $K_{s}$ in one color or a monochromat…

math.CO2025

When do the Kahn-Kalai Bounds Provide Nontrivial Information?

Bryce Alan Christopherson, Jack Baretz

The Park-Pham theorem (previously known as the Kahn-Kalai conjecture), bounds the critical probability, $p_{c} (F)$ , of the a non-trivial property $F \subseteq 2^{X}$ …

math.CO2025

Ramsey-Theoretic Characterizations of Classically Non-Ramseyian Problems

Bryce Alan Christopherson

In this paper, we will develop a significantly more general notion of classical Ramsey numbers (extending most other graph-theoretic generalizations) and make some preliminary char…