Traveling waves of a generalized Rotation-Camassa-Holm equation with the Coriolis effectIn this paper, we analyze the dynamics of a generalized Rotation-Camassa-Holm equation, which is the θ-equation augmented with the Coriolis effect, induced by the earth rotation. The generalized…N'Gbo N'Gbo, Yonghui Xia, Tonghua Zhang·Feb 23, 2022SaveLearn
Homotopy Cartan calculus and inner deformations of A∞-algebrasWe consider inner deformations of families of A∞-algebras. With the help of noncommutative Cartan's calculus, we prove the invariance of Hochschild (co)homology under inner deformations.…Alexey A. Sharapov, Evgeny D. Skvortsov·Feb 22, 2022SaveLearn
Rank One Perturbations Supported by Hybrid Geometries and Their DeformationsWe study the hybrid type of rank one perturbations in R2 and R3, where the perturbation supported by a circle/sphere is considered together with the delta potential supported…Fatih Erman, Sema Seymen, Osman Teoman Turgut·Feb 22, 2022SaveLearn
On the monodromy manifold of q-Painlevé VI and its Riemann-Hilbert problemWe study the sixth q-difference Painlevé equation (qPVI) through its associated Riemann-Hilbert problem (RHP) and show that the RHP is always solvable for irreducible…Nalini Joshi, Pieter Roffelsen·Feb 22, 2022SaveLearn
Ground state energy of a Bose gas in the Gross-Pitaevskii regimeWe review some rigorous estimates for the ground state energy of dilute Bose gases. We start with Dyson's upper bound, which provides the correct leading order asymptotics for hard spheres.…Giulia Basti, Serena Cenatiempo, Alessandro Olgiati et al.·Feb 21, 2022SaveLearn
Controlling nonautonomous matter waves in "smart" transient trap variationsIn this paper, we study the controllable behavior of nonautonomous matter waves in different "smart" transient trap variations in the context of the cigar-shaped Bose-Einstein condensates. By…S. Sree Ranjani, Tangirala Shreecharan, Thokala Soloman Raju·Feb 20, 2022SaveLearn
Characteristic Polynomials in Coupled Matrix ModelsWe study correlation functions of the characteristic polynomials in coupled matrix models based on the Schur polynomial expansion, which manifests their determinantal structure.Nicolas Babinet, Taro Kimura·Feb 19, 2022SaveLearn
Infinitesimal time reparametrisation and its applicationsA geometric approach to Sundman infinitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and…José F. Cariñena, Eduardo Martínez, Miguel C. Muñoz-Lecanda·Feb 19, 2022SaveLearn
The appearance of particle tracks in detectors -- II: the semi-classical realmThe appearance of tracks, close to classical orbits, left by charged quantum particles propagating inside a detector, such as a cavity periodically illuminated by light pulses, is studied for a…Tristan Benoist, Martin Fraas, Jürg Fröhlich·Feb 19, 2022SaveLearn
Coulomb and Riesz gases: The known and the unknownWe review what is known, unknown and expected about the mathematical properties of Coulomb and Riesz gases. Those describe infinite configurations of points in Rd interacting with the…Mathieu Lewin·Feb 18, 2022SaveLearn
Cut-and-join operators in cohomological field theory and topological recursionWe construct a cubic cut-and-join operator description for the partition function of the Chekhov-Eynard-Orantin topological recursion for a local spectral curve with simple ramification points. In…Alexander Alexandrov·Feb 18, 2022SaveLearn
States of finite effect algebrasIn this paper we characterize finite effect algebras which have a state. We construct two matrices A and B assigned to a finite effect algebra E and show that if E has a state then rankA=…G. Bińczak, J. Kaleta, A. Zembrzuski·Feb 18, 2022SaveLearn
Exact densities of loops in O(1) dense loop model and of clusters in critical percolation on a cylinder II: rotated latticeThis work continues the study started in Povolotsky2021, where the exact densities of loops in the O(1) dense loop model on an infinite strip of the square lattice with periodic boundary…A. M. Povolotsky·Feb 17, 2022SaveLearn
Corner Structure of Four-Dimensional General Relativity in the Coframe FormalismThis note describes a local Poisson structure (up to homotopy) associated to corners in four-dimensional gravity in the coframe (Palatini--Cartan) formalism. This is achieved through the use of the…Giovanni Canepa, Alberto S. Cattaneo·Feb 17, 2022SaveLearn
On BV Supermanifolds and the Super Atiyah ClassWe study global and local geometry of forms on odd symplectic BV supermanifolds, constructed from the total space of the bundle of 1-forms on a base supermanifold. We show that globally 1-forms are…Simone Noja·Feb 16, 2022SaveLearn
The Lp-boundedness of wave operators for four dimensional Schrödinger operators with threshold resonancesWe prove that the low energy parts of the wave operators W for Schrödinger operators H = - + V(x) on 4 are bounded in Lp(4) for 1<p≤ 2 and are unbounded for $2<p≤…Kenji Yajima·Feb 16, 2022SaveLearn
Completeness of Bethe ansatz for Gaudin models associated with gl(1|1)We study the Gaudin models associated with gl(1|1). We give an explicit description of the algebra of Hamiltonians (Gaudin Hamiltonians) acting on tensor products of polynomial…Kang Lu·Feb 16, 2022SaveLearn
On the connection formula of a higher rank analog of Painlevé VIIn this paper, we derive the connection formula for the higher rank analog of Painlevé VI arising from the isomonodromic deformation theory and the study of Frobenius manifolds.Xiaomeng Xu·Feb 16, 2022SaveLearn
A Direct Road to Entropy and the Second Law of ThermodynamicsThe entropy of classical thermodynamics is uniquely determined by the relation of adiabatical accessibilty between equilibrium states of thermodynamical systems. This review outlines the logical path…Jakob Yngvason·Feb 16, 2022SaveLearn
An algebraic QFT approach to the Wetterich equation on Lorentzian manifoldsWe discuss the scaling of the effective action for the interacting scalar quantum field theory on generic spacetimes with Lorentzian signature and in a generic state (including vacuum and thermal…Edoardo D'Angelo, Nicolò Drago, Nicola Pinamonti et al.·Feb 15, 2022SaveLearn
A construction of open descendant potentials in all generaWe present a construction of an open analogue of total descendant and total ancestor potentials via an "open version" of Givental's action. Our construction gives a genus expansion for an…Alexander Alexandrov, Alexey Basalaev, Alexandr Buryak·Feb 15, 2022SaveLearn
Asymptotic probability of energy increasing solutions to the homogeneous Boltzmann equationWeak solutions to the homogeneous Boltzmann equation with increasing energy have been constructed by Lu and Wennberg. We consider an underlying microscopic stochastic model with binary collision…Giada Basile, Dario Benedetto, Lorenzo Bertini et al.·Feb 15, 2022SaveLearn
Review of a Simplified Approach to study the Bose gas at all densitiesIn this paper, we will review the results obtained thus far by Eric A. Carlen, Elliott H. Lieb and me on a Simplified Approach to the Bose gas. The Simplified Approach yields a family of effective…Ian Jauslin·Feb 15, 2022SaveLearn
General relativistic Lagrangian continuum theories -- Part I: reduced variational principles and junction conditions for hydrodynamics and elasticityWe establish a Lagrangian variational framework for general relativistic continuum theories that permits the development of the process of Lagrangian reduction by symmetry in the relativistic…François Gay-Balmaz·Feb 14, 2022SaveLearn
Spectrum of the quantum integrable D(2)2 spin chain with generic boundary fieldsExact solution of the quantum integrable D(2)2 spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be factorized as the…Guang-Liang Li, Junpeng Cao, Wen-Li Yang et al.·Feb 14, 2022SaveLearn