Resurgence and Mould CalculusResurgence Theory and Mould Calculus were invented by J. Ecalle around 1980 in the context of analytic dynamical systems and are increasingly more used in the mathematical physics community,…David Sauzin·Oct 23, 2023SaveLearn
On Airy Solutions of PII and Complex Cubic Ensemble of Random Matrices, IWe show that the one-parameter family of special solutions of PII, the second Painlev\'e equation, constructed from the Airy functions, as well as associated solutions of…Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño et al.·Oct 23, 2023SaveLearn
On the microscopic propagation speed of long-range quantum many-body systemsWe consider the time-dependent Schr\"odinger equation that is generated on the bosonic Fock space by a long-range quantum many-body Hamiltonian. We derive the first bound on the maximal speed of…Marius Lemm, Carla Rubiliani, Jingxuan Zhang·Oct 23, 2023SaveLearn
Elementary catastrophes underlying bifurcations of vector fields and PDEsA practical method was proposed recently for finding local bifurcation points in an n-dimensional vector field F by seeking their 'underlying catastrophes'. Here we apply the idea to the homogeneous…Mike R Jeffrey·Oct 23, 2023SaveLearn
Catastrophe conditions for vector fields in RnPractical conditions are given here for finding and classifying high codimension intersection points of n hypersurfaces in n dimensions. By interpreting those hypersurfaces as the nullclines of a…Mike R. Jeffrey·Oct 23, 2023SaveLearn
Group foliations, invariant solutions, and conservation laws of the geopotential forecast equationDespite the large number of publications on symmetry analysis of the geopotential forecast equation, its group foliations laws have not been considered previously. The present publication aims to…E. I. Kaptsov·Oct 23, 2023SaveLearn
The dressing field method for diffeomorphisms: a relational frameworkThe dressing field method is a tool to reduce gauge symmetries. Here we extend it to cover the case of diffeomorphisms. The resulting framework is a systematic scheme to produce Diff(M)-invariant…Jordan T. Francois Andre·Oct 23, 2023SaveLearn
On explicit soliton solutions and blow-up for coupled variable coefficient nonlinear Schr\"odinger equationsThis work is concerned with the study of explicit solutions for a generalized coupled nonlinear Schr\"odinger equations (NLS) system with variable coefficients. Indeed, we show, employing…Jose Escorcia, Erwin Suazo·Oct 22, 2023SaveLearn
Einstein-Yang-Mills wormholes haunted by a phantom fieldIn this article, we study wormhole spacetimes in the framework of the static spherically symmetric SU(2) Einstein-Yang-Mills theory coupled to a phantom scalar field. We show rigorously the existence…Marko Sobak·Oct 22, 2023SaveLearn
The existence of topological solutions to the Chern-Simons model on lattice graphsWe prove the existence of topological solutions to the self-dual Chern-Simons model and the Abelian Higgs system on the lattice graphs Zn for n>1. This extends the results in Huang, Lin and Yau…Bobo Hua, Genggeng Huang, Jiaxuan Wang·Oct 21, 2023SaveLearn
Classification of higher grade graphs for U(N)2× O(D) multi-matrix modelsThe authors studied in [Ann. Inst. Henri Poincar\'e D 9, 367-433, (2022)], a complex multi-matrix model with U(N)2 × O(D) symmetry, and whose double scaling limit where…Rémi Cocou Avohou, Reiko Toriumi, Matthias Vancraeynest·Oct 20, 2023SaveLearn
Applications of residues and poles in solutions of some improper integrals evaluationIn Physics, we are generally interested in real solutions involving natural phenomena, where knowledge of real functions of real variables is sufficient to obtain physically relevant results.…José Moreira de Sousa·Oct 20, 2023SaveLearn
The scaling limit of the continuous solid-on-solid modelWe prove that the scaling limit of the continuous solid-on-solid model in Zd is a multiple of the Gaussian free field.Scott Armstrong, Wei Wu·Oct 20, 2023SaveLearn
Dually weighted multi-matrix models as a path to causal gravity-matter systemsWe introduce a dually-weighted multi-matrix model that for a suitable choice of weights reproduce two-dimensional Causal Dynamical Triangulations (CDT) coupled to the Ising model. When Ising degrees…Juan L. A. Abranches, Antonio D. Pereira, Reiko Toriumi·Oct 20, 2023SaveLearn
Poisson structure and Integrability of a Hamiltonian flow for the inhomogeneous six-vertex modelWe compute the action-angle variables for a Hamiltonian flow of the inhomogeneous six-vertex model, from a formulation introduced in a 2022 work due to Keating, Reshetikhin, and Sridhar, hence…Pete Rigas·Oct 20, 2023SaveLearn
Note on the group of vertical diffeomorphisms of a principal bundle, and its relation to the Fr\"olicher-Nijenhuis bracketThe group of vertical diffeomorphisms of a principal bundle forms the generalised action Lie groupoid associated to the bundle. The former is generated by the group of maps with value in the…Jordan François·Oct 19, 2023SaveLearn
A variational framework for higher order perturbationsA covariant, global, variational framework for perturbations in field theories is presented. Perturbations are obtained as vertical vector fields on the configuration bundle and they drag, exactly,…F. Chiaffredo, L. Fatibene, M. Ferraris et al.·Oct 19, 2023SaveLearn
Asymptotic Relaxation of Moment Equations for a Multi-Species, Homogeneous BGK ModelMulti-species BGK models describe the dynamics of rarefied gases with constituent particles of different elements or compounds with potentially non-trivial velocity distributions. In this paper,…Evan Habbershaw, Ryan S. Glasby, Jeffrey R. Haack et al.·Oct 19, 2023SaveLearn
Stability of the one electron atom Schr\"odinger model with magnetic field in two dimensionsWe study the stability of the one electron atom Schr\"odinger model with self-generated magnetic field in two dimensions. The magnetic energy is taken of the general form K∫R2 |B|p…Ayoub Arraji, Saad Benjelloun, Salma Lahbabi·Oct 19, 2023SaveLearn
Tranlation-invariant Gibbs measures for the Hard-Core model with a countable set of spin valuesIn this paper, we study the Hard Core (HC) model with a countable set Z of spin values on a Cayley tree of order k=2. This model is defined by a countable set of parameters (that is, the…R. M. Khakimov, M. T. Makhammadaliev·Oct 19, 2023SaveLearn
Soliton resolution and asymptotic stability of N-loop-soliton solutions for the Ostrovsky-Vakhnenko equationThe Ostrovsky-Vakhnenko (OV) equation align* &utxx-3 ux+3uxuxx+uuxxx=0 align* is a short wave model of the well-known Degasperis-Procesi equation and admits a $3×…Ruihong Ma, Engui Fan·Oct 19, 2023SaveLearn
Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit for general interaction potentialsWe consider a homogeneous Bose gas in the Gross--Pitaevskii limit at temperatures that are comparable to the critical temperature for Bose--Einstein condensation. Recently, an upper bound for the…Marco Caporaletti, Andreas Deuchert·Oct 18, 2023SaveLearn
Spectral theory of p-adic unitary operatorThe p-adic unitary operator U is defined as an invertible operator on p-adic ultrametric Banach space such that |U |= |U-1 |=1. We point out U has a spectral…Zhao Tianhong·Oct 18, 2023SaveLearn
Classification of 2-Orthogonal Polynomials with Brenke Type Generating FunctionsThe Brenke type generating functions are the polynomial generating functions of the form Σn=0∞Pn(x ) n!tn=A(t)B(xt), where A and B are two formal power series subject…Hamza Chaggara, Abdelhamid Gahami·Oct 18, 2023SaveLearn
Diagonalizing Bose Gases in the Gross-Pitaevskii Regime and BeyondWe present a novel approach to the Bogoliubov theory of dilute Bose gases, allowing for an elementary derivation of the celebrated Lee-Huang-Yang formula in the Gross-Pitaevskii regime. Furthermore,…Morris Brooks·Oct 17, 2023SaveLearn