The past decade has witnessed dramatic progress related to various aspects of emergent
topological polar textures in oxide nanostructures displaying vortices, skyrmions, merons …

This is a tutorial review on the Potts model aimed at bringing out in an organized fashion the
essential and important properties of the standard Potts model. Emphasis is placed on exact …

This paper has three parts. The first part is a simplified presentation of the basic ideas of the
renormalization group and the c. expansion applied to critical phenomena, following roughly …

Page 1 m(T) James Glimm Arthur Jaffe Quantum Physics Second Edition A Functional Integral
Point of View T Springer-Verlag T Page 2 Quantum Physics Page 3 James Glimm Arthur Jaffe …

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 …

We prove that the Green's function of the Anderson tight binding Hamiltonian decays
exponentially fast at long distances on ℤ v, with probability 1. We must assume that either …

We examine the performance of the single-mode Gottesman-Kitaev-Preskill (GKP) code and
its concatenation with the toric code for a noise model of Gaussian shifts, or displacement …

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 reconsider the conceptual foundations of the renormalization-group (RG) formalism, and
prove some rigorous theorems on the regularity properties and possible pathologies of the …

This work is concerned with thermal quantum states of Hamiltonians on spin-and fermionic-
lattice systems with short-range interactions. We provide results leading to a local definition …