In software product line (SPL) development, evolutions occur in core assets and application products. How to ensure their alignment in evolution is a big challenge. Products in an SPL share a reference architecture, which centers in SPL development and evolution, so architectural evolution management is a natural and essential choice for SPL. In this paper, we propose an architecture-based evol...

Tandem duplication is an evolutionary process whereby a segment of DNA is replicated and proximally inserted. The different configurations that can arise from this process give rise to some interesting combinatorial questions. Firstly, we introduce an algebraic formalism to represent this process as a word producing automaton. The number of words arising from n tandem duplications can then be r...

Nowadays, the industrial and technological context is characterised by the uncertainty and the complexity of its evolutions. In this boarder, companies, particularly in the manufacturing and product design fields, need flexible and adaptable Information Systems (IS) to support their business strategies as well as to facilitate their adaptation to the evolutions of the external environment. In t...

Backward diffusion and purely repulsive swarm dynamics are generally feared as ill-posed, highly unstable processes. On the other hand, it is well-known that minimising strictly convex energy functionals by gradient descent creates well-posed, stable evolutions. We prove a result that appears counterintuitive at first glance: We derive a class of one-dimensional backward evolutions from the min...

Currently Configuration Management (CM) tool and Process Management (PM) tool are both largely applied in software organizations. However, neither of them can effectively support the complex evolutions in today’s software development solely. So we must integrate CM and PM together to provide a systematic framework for managing evolutions. This paper introduces a configuration management framewo...

We consider crack propagation in brittle non-linear elastic materials in the context of quasi-static evolutions of energetic type. Given a sequence of self-similar domains nΩ on which the imposed boundary conditions scale according to Bažant’s law, we show, in agreement with several experimental data, that the corresponding sequence of evolutions converges (for n → ∞) to the evolution of a crac...

Stochastic Loewner evolutions (SLEκ) are random growth processes of sets, called hulls, embedded in the two dimensional upper half plane. We elaborate and develop a relation between SLEκ evolutions and conformal field theories (CFT) which is based on a group theoretical formulation of SLEκ processes and on the identification of the proper hull boundary states. This allows us to define an infini...

My research involves developing models and tools to support architecture-level planning of large software evolutions. Over the past couple of years, we have developed a theoretical framework that we think encapsulates the most important issues in these kinds of evolutions, as well as formal models and tool prototypes within this framework. One important component of our framework involves the f...