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...

Stochastic Loewner evolutions (SLEκ) are random growth processes of domains in the two dimensional upper half plane which represent critical clusters. We elaborate and developp 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 de...

We present the redshift evolutions and distributions of the gamma-ray luminosity and photon spectral index of flat spectrum radio quasar (FSRQ) type blazars, using non-parametric methods to obtain the evolutions and distributions directly from the data. The sample we use for analysis consists of almost all FSRQs observed with a greater than approximately 7σ detection threshold in the first-year...

The ZX-Calculus is a powerful diagrammatic language devoted to represent complex quantum evolutions. But the advantages of quantum computing still exist when working with rebits, and evolutions with real coefficients. Some models explicitly use rebits, but the ZX-Calculus can not handle these evolutions as it is. Hence, we define an alternative language solely dealing with real matrices, with a...