We introduce a framework to justify hydrodynamic limits of the Vlasov-Navier-Stokes system. We specifically study high friction regimes, which take into account the fact that particles of the dispersed phase are light (resp. small) compared to the fluid part, and lead to the derivation of Transport-Navier-Stokes (resp. Inhomogenous Navier-Stokes) systems.

Uploaded March 2025

We introduce coordinates on the spaces of framed and decorated representations of the fundamental group of a surface with nonempty boundary into the symplectic group Sp(2n, R). These coordinates provide a noncommutative generalization of the parametrizations of the spaces of representations into SL(2, R) or PSL(2, R) given by Thurston, Penner, Kashaev and Fock–Goncharov.

Uploaded March 2025

Max Dehn (1878-1952) is known to mathematicians today for his seminal contributions to geometry and topology-Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert's famous problems.

Uploaded March 2025

We investigate periods, quasi-periods, logarithms, and quasi-logarithms of Anderson t-modules, as well as their hyperderivatives. We develop a comprehensive account of how these values can be obtained through rigid analytic trivializations of abelian and A-finite t-modules.

Uploaded March 2025

The definitive one-stop resource on structural equation modeling (SEM) from leading methodologists is now in a significantly revised second edition. Twenty-three new chapters cover model selection, bifactor models, item parceling, multitrait-multimethod models, exploratory SEM, mixture models, SEM with small samples, and more.

Uploaded March 2025

In this paper we treat faithful actions of simple algebraic groups on irreducible modules and on the associated Grassmannian varieties. By explicit calculation, we show that in each case, with essentially one exception, there is a dense open subset any point of which has stabilizer conjugate to a fixed subgroup, called the generic stabilizer.

Uploaded March 2025

This book, originating from a seminar held at Oberwolfach in 2022, introduces to state-of-the-art methods and results in the study of free boundary problems which are arising from compressible as well as from incompressible Eulers equations in general.

Uploaded March 2025

This Memoir concerns fundamental rogue-wave solutions of the focusing nonlinear Schrödinger equation in the limit that the order of the rogue wave is large and the independent variables (x, t)are proportional to the order (the far-field limit).

Uploaded March 2025

Arthur has conjectured the existence of what are now known as Arthur packets of representations of reductive algebraic groups over local and global fields. In the case of special orthogonal and symplectic groups, he subsequently gave a definition of these packets, using local and global methods.

Uploaded March 2025

This article is dedicated to the study of the acylindrical hyperbolicity of automorphism groups of graph products of groups. Our main result is that, if Γ is a finite graph which contains at least two vertices and is not a join and if G is a collection of finitely generated irreducible groups, then either ΓG is infinite dihedral or Aut(ΓG) is acylindrically hyperbolic.

Uploaded March 2025