Michele Correggi,Davide Fermi
Michele Correggi
We study the Schrödinger operator describing a two-dimensional quantum particle moving in the presence of N ⩾ 1 Aharonov-Bohm magnetic fluxes. We classify all the self-adjont realizations of such an operator, providing an explicit ...
Harriet Apel,Toby Cubitt
Harriet Apel
Analogue Hamiltonian simulation is a promising near-term application of quantum computing and has recently been put on a theoretical footing alongside experiencing wide-ranging experimental success. These ideas are closely related to the no...
CLT for [Formula: see text] -Ensembles at High Temperature and for Integrable Systems: A Transfer Operator Approach [0.03%]
高温度下的[Formula: see text]-ensembles和可积系统的CLT：一种转移算子方法
G Mazzuca,R Memin
G Mazzuca
In this paper, we prove a polynomial central limit theorem for several integrable models and for the β -ensembles at high temperature with polynomial potential. Furthermore, we connect the mean values, the variances and the correlation...
The Small- N Series in the Zero-Dimensional O(N) Model: Constructive Expansions and Transseries [0.03%]
零维O(N)模型中的小N级数：构造展开和transseries
Dario Benedetti,Razvan Gurau,Hannes Keppler et al.
Dario Benedetti et al.
We consider the zero-dimensional quartic O(N) vector model and present a complete study of the partition function Z(g, N) and its logarithm, the free energy W(g, N), seen as functions of the coupling g on a Riemann surface. We are, in parti...
On the Fourier Analysis of the Einstein-Klein-Gordon System: Growth and Decay of the Fourier Constants [0.03%]
爱因斯坦-克莱因-戈登系统的傅里叶分析：傅里叶常数的增长与衰减
Athanasios Chatzikaleas
Athanasios Chatzikaleas
We consider the ( 1 + 3 ) -dimensional Einstein equations with negative cosmological constant coupled to a spherically symmetric, massless scalar field and study perturbations around the anti-de Sitter spacetime. We derive the resonant sys...
A KAM Approach to the Inviscid Limit for the 2D Navier-Stokes Equations [0.03%]
KAM技术在二维Navier-Stokes方程的非粘性极限中的应用
Luca Franzoi,Riccardo Montalto
Luca Franzoi
In this paper, we investigate the inviscid limit ν → 0 for time-quasi-periodic solutions of the incompressible Navier-Stokes equations on the two-dimensional torus T 2 , with a small time-quasi-periodic external force. More pr...
Global Stability for Charged Scalar Fields in an Asymptotically Flat Metric in Harmonic Gauge [0.03%]
带电标量场在渐近平坦度规中的整体稳定性（调和规范）
Christopher Kauffman
Christopher Kauffman
We prove global stability for the charged scalar field system on a background spacetime, which is close to 1 + 3 -dimensional Minkowski space and whose outward light cones converge to those for the Schwarzs-child metric at null infinity. T...
Antonio Celani,Gautam Reddy,Massimo Vergassola
Antonio Celani
We investigate the role of partial stickiness among particles or with a surface for turbulent transport. For the former case, we re-derive known results for the case of the compressible Kraichnan model by using a method based on bi-orthogon...
Berezin Quantization, Conformal Welding and the Bott-Virasoro Group [0.03%]
Berezin量化，共形焊接和Bott-Virasoro群
A Alekseev,S Shatashvili,L Takhtajan
A Alekseev
Following Nag-Sullivan, we study the representation of the group Diff+(S1) of diffeomorphisms of the circle on the Hilbert space of holomorphic functions. Conformal welding provides triangular decompositions for the corresponding symplectic...
Christopher Beem,Sujay Nair
Christopher Beem
In the TQFT formalism of Moore-Tachikawa for describing Higgs branches of theories of class S, the space associated to the unpunctured sphere in type g is the universal centraliser ZG, where g=Lie(G). In more physical terms, this space aris...