Symmetries of F-cohomological field theories and F-topological recursionWe define F-topological recursion (F-TR) as a non-symmetric version of topological recursion, which associates a vector potential to some initial data. We describe the symmetries of the initial data…Gaëtan Borot, Alessandro Giacchetto, Giacomo Umer·Jun 10, 2024SaveLearn
Hierarchical Cubes: Gibbs Measures and Decay of CorrelationsWe study a hierarchical model of non-overlapping cubes of sidelengths 2j, j ∈ Z. The model allows for cubes of arbitrarily small size and the activities need not be translationally…Sabine Jansen, Jan Philipp Neumann·Jun 10, 2024SaveLearn
The wave function of stabilizer states and the Wehrl conjectureWe focus on quantum systems represented by a Hilbert space L2(A), where A is a locally compact Abelian group that contains a compact open subgroup. We examine two interconnected issues related…Fabio Nicola·Jun 10, 2024SaveLearn
Wick rotation in the lapse, admissible complex metrics, and foliation changing diffeomorphismsA Wick rotation in the lapse (not in time) is introduced that interpolates between Riemannian and Lorentzian metrics on real manifolds admitting a codimension-one foliation. The definition refers to…Rudrajit Banerjee, Max Niedermaier·Jun 10, 2024SaveLearn
A model for slowing particles in random mediaWe present a simple model in dimension d≥ 2 for slowing particles in random media, where point particles move in straight lines among and inside spherical identical obstacles with Poisson…François Golse, Valeria Ricci, Ana Jacinta Soares·Jun 9, 2024SaveLearn
Topological Classification of Insulators: II. Quasi-Two-Dimensional LocalityWe provide an alternative characterization of two-dimensional locality (necessary e.g. to define the Hall conductivity of a Fermi projection) using the spectral projections of the Laughlin flux…Jui-Hui Chung, Jacob Shapiro·Jun 8, 2024SaveLearn
A tiling algorithm for the aperiodic monotile Tile(1,1)An algorithm is provided to tile the plane with the aperiodic monotile Tile(1,1) recently discovered by Smith et al. (2023). Their geometric construction guidelines are expanded into a numerical…Henning U. Voss·Jun 7, 2024SaveLearn
Interacting Fermi systems in the tracial stateWe argue that for Fermi systems on lattices or the continuum with interaction invariant under a kind of Galilei transformation the time evolution is either weakly asymptotically abelian or at least…Heide Narnhofer·Jun 7, 2024SaveLearn
Stability of stationary states for mean field models with multichromatic interaction potentialsWe consider weakly interacting diffusions on the torus, for multichromatic interaction potentials. We consider interaction potentials that are not H-stable, leading to phase transitions in the mean…Benedetta Bertoli, Benjamin D. Goddard, Grigorios A. Pavliotis·Jun 7, 2024SaveLearn
Quantum Mechanics of Particles Constrained to Spiral Curves with Application to Polyene ChainsContext: Due to advances in synthesizing lower dimensional materials there is the challenge of finding the wave equation that effectively describes quantum particles moving on 1D and 2D domains.…Eduardo V. S. Anjos, Antonio C. Pavão, Luiz C. B. da Silva et al.·Jun 7, 2024SaveLearn
C*-framework for higher-order bulk-boundary correspondencesA typical crystal is a finite piece of a material which may be invariant under some point symmetry group. If it is a so-called intrinsic higher-order topological insulator or superconductor, then it…Danilo Polo Ojito, Emil Prodan, Tom Stoiber·Jun 6, 2024SaveLearn
Minimal W-algebras with non-admissible levels and intermediate Lie algebrasIn Kawasetsu:2018irs, Kawasetsu proved that the simple W-algebra associated with a minimal nilpotent element Wk(g,fθ) is rational and C2-cofinite for…Kaiwen Sun·Jun 6, 2024SaveLearn
Equivariant Connections and their applications to Yang-Mills equationsWe reduce Yang-Mills equations for SO+(p,q), Spin+(p,q) and SU(n) bundles, with constant and isotropic metrics, by developing the concept of SO+(p,q)-equivariance. This allows us to model…Driss Maîtrejean·Jun 6, 2024SaveLearn
Scattering of Vortices with Excited Normal ModesWe consider head-on collisions at critical coupling of vortices modelled by the Abelian-Higgs model. We investigate the 2-vortex scattering, whereby the vortices are excited by the shape mode causing…Steffen Krusch, Morgan Rees, Thomas Winyard·Jun 6, 2024SaveLearn
A mathematical analysis of IPT-DMFTWe provide a mathematical analysis of the Dynamical Mean-Field Theory, a celebrated representative of a class of approximations in quantum mechanics known as embedding methods. We start by a…Éric Cancès, Alfred Kirsch, Solal Perrin-Roussel·Jun 5, 2024SaveLearn
The Schouten-Nijenhuis bracket, codifferential of products and generalized interior products of p-formsIdentities pertaining to the de Rham codifferential δ in differential geometry are scattered in the literature. This article gathers such formulas involving usual differential operators (Lie…E. Huguet, J. Queva, J. Renaud·Jun 4, 2024SaveLearn
Solving Partial Differential Equations in Different Domains by Operator Learning method Based on Boundary Integral EquationsThis article explores operator learning models that can deduce solutions to partial differential equations (PDEs) on arbitrary domains without requiring retraining. We introduce two innovative models…Bin Meng, Yutong Lu, Ying Jiang·Jun 4, 2024SaveLearn
Integrated density of states for the Poisson point interactions on R3We determine the principal term of the asymptotics of the integrated density of states (IDS) N(λ) for the Schr\"odinger operator with point interactions on R3 as $λ …Masahiro Kaminaga, Takuya Mine, Fumihiko Nakano·Jun 4, 2024SaveLearn
Learning Hamiltonian neural Koopman operator and simultaneously sustaining and discovering conservation lawAccurately finding and predicting dynamics based on the observational data with noise perturbations is of paramount significance but still a major challenge presently. Here, for the Hamiltonian…Jingdong Zhang, Qunxi Zhu, Wei Lin·Jun 4, 2024SaveLearn
Polynomial Poisson Algebras and Superintegrable Systems from Cartan centralisers of Types B3, C3 and D3In this work, we construct explicit formulas for the generators of the Cartan centralisers of complex semisimple Lie algebras Bn,Cn and Dn, the case An being already known…Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette et al.·Jun 4, 2024SaveLearn
Spectral Flow for the Riemann zerosRecently, with Mussardo we defined a quantum mechanical problem of a single particle scattering with impurities wherein the quantized energy levels En (σ) are exactly equal to the zeros of…André LeClair·Jun 3, 2024SaveLearn
Categories of quantum cposThis paper unites two research lines. The first involves finding categorical models of quantum programming languages and their type systems. The second line concerns the program of quantization of…Andre Kornell, Bert Lindenhovius, Michael Mislove·Jun 3, 2024SaveLearn
The Optimal Reduction of a 2-Body Problem in R3In this paper we describe optimal reduction for the system of two bodies in R3 whose Hamiltonian is invariant under rotations and translations. In doing this, we introduce…Hernán Cendra, María Eugenia García·Jun 3, 2024SaveLearn
Remarks on the geometric structure of port-Hamiltonian systemsWe study the geometric structure of port-Hamiltonian systems. Starting with the intuitive understanding that port-Hamiltonian systems are "in between" certain closed Hamiltonian systems, the…Jonas Kirchhoff, Bernhard Maschke·Jun 3, 2024SaveLearn
Volichenko-type metasymmetry of braided Majorana qubitsThis paper presents different mathematical structures connected with the parastatistics of braided Majorana qubits and clarifies their role; in particular, mixed-bracket Heisenberg-Lie algebras are…Francesco Toppan·Jun 2, 2024SaveLearn