This document discusses strategies for migrating monolithic applications to the cloud using the strangler pattern. It begins with an overview of the strangler pattern, which involves gradually building a new system around the edges of an existing monolith. It then provides examples of how to implement the strangler pattern on AWS by hosting the existing application, adding facades with API Gateway, detecting hot spots with X-Ray, replacing hot spots with Lambda functions, and iteratively strangulating more of the monolith over time until it is retired. The document emphasizes that this incremental approach allows migrating applications at a lower cost and risk compared to full rewrites.