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

The aim of this edited collection is to bridge the gap between advanced research methods and models and the main fields of economic research by presenting a collection of articles demonstrating the applicability of new research methods to a wide range of current economic topics, including, but not limited to, mathematical modelling of financial market behavior, modeling in corporate finance and management and modeling of macroeconomic issues.

Uploaded March 2025

In this work we introduce and study a new notion of amenability for actions of locally compact groups on C*-algebras. Our definition extends the definition of amenability for actions of discrete groups due to Claire Anantharaman-Delaroche. We show that our definition has several characterizations and permanence properties analogous to those known in the discrete case. For example, for actions on commutative C*-algebras, we show that our notion of amenability is equivalent to measurewise amenability.

Uploaded March 2025

Fusing biography, razor-sharp science communication and intellectual history, Everything Is Predictable is a captivating tour of Bayes' theorem and its impact on modern life. From medical testing to artificial intelligence, Tom Chivers shows how a single compelling idea can have far-reaching consequences.