… in a directed graph at measurement instant t is written as \(N_{t}\left( u\right) =\{v \in V: \left( u,
v\right) \in E_{t}\}\). We further write the degree of vertex u in measurement … at measurement …

We propose the thermodynamic Cucker–Smale system with unit-speed constraints (TCSUS)
and study its emergent dynamics with rigorous proofs. For this, three dissipative differential …

… sequence to each vertex of a directed graph that has length equal to … of some rough
McKean-Vlasov equation, we would see … In practice, we will be working with measure functionals …

… Since in situ measurements of jet conditions are … of coupled equations that is commonly
known as the Vlasov equations, where the kinetic equation (3.9) is known as the Vlasov equation …

… On the maximal number of strongly independent vertices in a random acyclic directed
graph… Our proof of convergence to stationary probability measure is novel and it relies on a …

… or dynamic equation because it is updated based on exogenous measurements obtained by
… path algorithm on a nonnegative weighted directed graph [36], [37]. At every time step k, the …

… In gyrokinetic codes, a 5D Vlasov equation coupled with a 3D Poisson-like equation must …
the OpenMP dependencies, we obtain a directed graph of tasks which prevents any conflicts …

… to the work of Boltzmann, Vlasov, McKean, and others (see eg, … games on any weighted,
directed graph that converges in cut … We equip all spaces of measure with the topology of weak …

… the new control scheme where the communication network is modeled by a directed graph.
… duration, measurement, and reinitialization, we can obtain approximated equations for 𝜙i’s …

… Finally, we study an adaptive Kuramoto model on (un)directed graphs, mainly for N = 2 and
… 15we will not dive into measure theory in this thesis, here it will su ce to know that every …