We review what is known, unknown, and expected about the mathematical properties of
Coulomb and Riesz gases. Those describe infinite configurations of points in R d interacting …

In this work, we present observable consequences of a parity-violating odd-viscosity term in
incompressible 2+ 1D hydrodynamics. For boundary conditions depending on the velocity …

We consider free surface dynamics of a two-dimensional incompressible fluid with odd
viscosity. The odd viscosity is a peculiar part of the viscosity tensor which does not result in …

Hyperbolic lattices underlie a new form of quantum matter with potential applications to
quantum computing and simulation and which, to date, have been engineered artificially. A …

arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 1 Lectures on Coulomb and Riesz Gases
Sylvia Serfaty arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …

We consider an isotropic compressible nondissipative fluid with broken parity subject to free
surface boundary conditions in two spatial dimensions. The hydrodynamic equations …

This paper begins with a summary of a powerful formalism for the study of electronic states
in condensed matter physics called “gauge theory of states/phases of matter.” The chiral …

Topological superconductors are characterized by topological invariants that describe the
number and nature of their robust boundary modes. These invariants must also have …

A Hele-Shaw cell is a device used to study fluid flow between two parallel plates separated
by a small gap. The governing equation of flow within a Hele-Shaw cell is Darcy's law, which …

We present variational and Hamiltonian formulations of incompressible fluid dynamics with a
free surface and nonvanishing odd viscosity. We show that within the variational principle …