In this paper, we analyze the asymptotic behavior of solutions of the continuous kinetic
version of flocking by Cucker and Smale [IEEE Trans. Automat. Control, 52 (2007), pp. 852–862], …

Under certain conditions (known as the restricted isometry property, or RIP) on the m × N matrix
Φ (where m < N), vectors x ∈ ℝ N that are sparse (ie, have most of their entries equal to 0…

We review the state-of-the-art in the modelling of the aggregation and collective behavior of
interacting agents of similar size and body type, typically called swarming. Starting with …

The quasi-static brittle fracture model proposed by G. Francfort and J.-J. Marigo can be $\Gamma$-approximated
at each time evolution step by the Ambrosio--Tortorelli functional. In …

We introduce the concept of mean-field optimal control which is the rigorous limit process
connecting finite dimensional optimal control problems with ODE constraints modeling multi-…

A decomposition of a Hilbert space H into a quasi-orthogonal family of closed subspaces is
introduced. We shall investigate conditions in order to derive bounded families of …

We introduce the rigorous limit process connecting finite dimensional sparse optimal control
problems with ODE constraints, modelling parsimonious interventions on the dynamics of a …

We present and analyze an efficient implementation of an iteratively reweighted least
squares algorithm for recovering a matrix from a small number of linear measurements. The …

Vector-valued data appearing in concrete applications often possess sparse expansions
with respect to a preassigned frame for each vector component individually. Additionally, …

A continuous frame is a family of vectors in a Hilbert space which allows reproductions of
arbitrary elements by continuous superpositions. Associated to a given continuous frame we …