Agency theory meets matching theory

Hamilton's rule: Game theory meets coalescent theory.

When graph theory meets knot theory

Since the early 1980s, graph theory has been a favorite topic for undergraduate research due to its accessibility and breadth of applications. By the early 1990s, knot theory was recognized as another such area of mathematics, in large part due to C. Adams’ text, The Knot Book. In this paper, we discuss the intersection of these two fields and provide a survey of current work in this area, much...

Domain Theory Meets Default

1 Abstract. We present a development of the theory of default information structures, combining ideas from domain theory with ideas from non-monotonic logic. Conceptually, our treatment is distinguished from standard default logic in that we view default structures as generating models rather than theories. Reiter's default rules are viewed as non-deterministic algorithms for generating preferr...

Combinatorics Meets Potential Theory

Using potential theoretic techniques, we show how it is possible to determine the dominant asymptotics for the number of walks of length n, restricted to the positive quadrant and taking unit steps in a “balanced” set Γ. The approach is illustrated through an example of inhomogeneous space walk. This walk takes its steps in {←, ↑,→, ↓} or {↙,←,↖, ↑,↗,→,↘, ↓}, depending on the parity of the coor...

Rotational spectroscopy meets theory.

Rotational spectroscopy is known to be a technique that is widely used to infer information on molecular structure and dynamics. In the last few decades, its role in the field of atmospheric and astrophysical investigations has rapidly grown. However, several are the challenging aspects in rotational spectroscopy, since the detection and analysis of spectra as well as interpretation of obtained...