Tracing the limits

tracing the progress of process tracing

Building on a Lakatosian approach that sees Social Science as an endeavour that confronts rival theories with systematic empirical observations, this article responds to probing questions that have been raised about the appropriate ways in which to conduct systematic process analysis and comparative enquiry. It explores varieties of process tracing, the role of interpretation in case studies, a...

Generalized Covering Groups and Direct Limits

Limits in modified categories of interest

‎We firstly prove the completeness of the category of crossed modules in a modified category of interest‎. ‎Afterwards‎, ‎we define pullback crossed modules and pullback cat objects that are both obtained by pullback diagrams with extra structures on certain arrows‎. ‎These constructions unify many corresponding results for the cases of groups‎, ‎commutative algebras and can also be adapted to ...

A stochastic SIR model with contact-tracing: large population limits and statistical inference.

This paper is devoted to the presentation and study of a specific stochastic epidemic model accounting for the effect of contact-tracing on the spread of an infectious disease. Precisely, one considers here the situation in which individuals identified as infected by the public health detection system may contribute to detecting other infectious individuals by providing information related to p...

Ray-tracing and Interferometry in Schwarzschild Geometry

Here, we investigate the possible optical anisotropy of vacuum due to gravitational field. In doing this, we provide sufficient evidence from direct coordinate integration of the null-geodesic equations obtained from the Lagrangian method, as well as ray-tracing equations obtained from the Plebanski’s equivalent medium theory. All calculations are done for the Schwarzschild geometry, which resu...