Regularizing Calabi-Yau topological conformal field theories using cutoff heat kernelsIn this paper we construct a family of topological conformal field theories (TCFTs) associated to a Calabi-Yau space by modifying the heat kernel and sections of the Calabi-Yau space. This is done by…Yashasvi Aulak·Oct 30, 2024SaveLearn
Some addition theorems for spin-weighted spherical harmonicsWe present some addition theorems for spin-weighted spherical harmonics, generalizing previous results for scalar (spin-zero) spherical harmonics. These addition theorems involve sums over the…Alessandro Monteverdi, Elizabeth Winstanley·Oct 30, 2024SaveLearn
Relative volume of comparable pairs under semigroup majorizationAny semigroup S of stochastic matrices induces a semigroup majorization relation S on the set n-1 of probability n-vectors. Pick X,Y at random in…Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna et al.·Oct 30, 2024SaveLearn
Derivation of Hartree theory for two-dimensional attractive Bose gases in almost Gross-Pitaevskii regimeWe study the ground state energy of trapped two-dimensional Bose gases with mean-field type interactions that can be attractive. We prove the stability of second kind of the many-body system and the…Lukas Junge, François Louis Antoine Visconti·Oct 30, 2024SaveLearn
Nearly cosine series and generalized trigonometric functionsA class of overlooked trigonometric-like functions is explored in this article, along with the relevant applications in applications. We show indeed that Taylor series, resembling that of an ordinary…A. Curcio, G. Dattoli, E. Di Palma et al.·Oct 30, 2024SaveLearn
Winding Number Statistics for Chiral Random Matrices: Universal Correlations and Statistical Moments in the Unitary CaseThe winding number is the topological invariant that classifies chiral symmetric Hamiltonians with one-dimensional parametric dependence. In this work we complete our study of the winding number…Nico Hahn, Mario Kieburg, Omri Gat et al.·Oct 30, 2024SaveLearn
Hankel Determinants for a Deformed Laguerre Weight with Multiple Variables and Generalized Painlev\'e V EquationWe study the Hankel determinant generated by the moments of the deformed Laguerre weight function xαe-xΠk=1N(x+tk)λk, where $x∈ [0,+∞…Xinyu Mu, Shulin Lyu·Oct 30, 2024SaveLearn
A note on cohomology mirror symmetry of toric manifoldsIn this note we describe a logarithmic version of mirror Landau-Ginzburg model for a semi-projective toric manifold and show the ring of state space of the Landau-Ginzburg model is isomorphic to the…Hao Wen·Oct 30, 2024SaveLearn
Revealing Noncanonical Hamiltonian Structures in Relativistic Fluid DynamicsWe present the noncanonical Hamiltonian structure of the relativistic Euler equations for a perfect fluid in Minkowski spacetime. By identifying the system's noncanonical Poisson bracket and…Keiichiro Takeda, Naoki Sato·Oct 30, 2024SaveLearn
Enhanced binding for a quantum particle coupled to scalar quantized fieldEnhanced binding of a quantum particle coupled to a quantized field means that the Hamiltonian of the particle alone does not have a bound state, while the particle-field Hamiltonian does. For the…Volker Betz, Tobias Schmidt, Mark Sellke·Oct 29, 2024SaveLearn
Which Meyer sets are regular model sets? A characterization via almost periodicityIn 2012, Meyer introduced the notions of generalized almost periodic measure and almost periodic pattern and proved that regular model sets in Euclidean space are almost periodic patterns. Here, we…Daniel Lenz, Christoph Richard, Nicolae Strungaru·Oct 29, 2024SaveLearn
Classification of 1+0 two-dimensional Hamiltonian operatorsIn this paper, we study Hamiltonian operators which are sum of a first order operator and of a Poisson tensor, in two spatial independent variables. In particular, a complete classification of these…Alessandra Rizzo·Oct 29, 2024SaveLearn
Discrete-time systems in quasi-standard form and the h6 coalgebra symmetryIn this paper, we characterize all discrete-time systems in quasi-standard form admitting coalgebra symmetry with respect to the Lie--Poisson algebra h6. The outcome of this study is…Pavel Drozdov, Giorgio Gubbiotti·Oct 29, 2024SaveLearn
Superintegrability in the interaction of two particles with spinWe initiate a research program for the systematic investigation of quantum superintegrable systems involving the interaction of two non-relativistic particles with spin 1/2 moving in the…O. Ogulcan Tuncer, I. Yurdusen·Oct 29, 2024SaveLearn
A spectral localizer approach to strong topological invariants in the mobility gap regimeTopological phases of gapped one-particle Hamiltonians with (anti)-unitary symmetries are classified by strong topological invariants according to the Altland-Zirnbauer table. Those indices are still…Tom Stoiber·Oct 29, 2024SaveLearn
Integrability properties and multi-kink solutions of a generalised Fokker-Planck equationWe analyse a generalised Fokker-Planck equation by making essential use of its linearisability through a Cole-Hopf transformation. We determine solutions of travelling wave and multi-kink type by…Francesco Giglio, Giulio Landolfi, Luigi Martina et al.·Oct 29, 2024SaveLearn
Optimization of quantum graph eigenvalues with preferred orientation vertex conditionsWe discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs we determine, under the condition of a fixed total…Pavel Exner, Jonathan Rohleder·Oct 29, 2024SaveLearn
Sharp palindromic criterion for semi-uniform dynamical localizationWe develop a sharp palindromic argument for general 1D operators, that proves absence of semi-uniform localization in the regime of exponential symmetry-based resonances. This provides the first…Svetlana Jitomirskaya, Wencai Liu, Lufang Mi·Oct 29, 2024SaveLearn
Nonlinear subwavelength resonances in three dimensionsIn this paper, we consider the resonance problem for the cubic nonlinear Helmholtz equation in the subwavelength regime. We derive a discrete model for approximating the subwavelength resonances of…Habib Ammari, Thea Kosche·Oct 28, 2024SaveLearn
Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statisticsRecently, a conjecture about the local bulk statistics of complex eigenvalues has been made based on numerics. It claims that there are only three universality classes, which have all been observed…Gernot Akemann, Noah Aygün, Mario Kieburg et al.·Oct 28, 2024SaveLearn
Contributions to the Algorithmic Foundations of Approximate Lie Symmetry Algebras of Differential EquationsLie symmetry transformations that leave a differential equation invariant play a fundamental role in science and mathematics. Such Lie symmetry groups uniquely determine their Lie symmetry algebras.…Siyuan Deng, Gregory Reid·Oct 27, 2024SaveLearn
Spectra and pseudospectra in the evaluation of material stability in phase field schemesWe consider the dynamics of bodies with "active" microstructure described by vector-valued phase fields. For waves with time-varying amplitude, the associated evolution equation involves a matrix…Michele Benzi, Daniele La Pegna, Paolo Maria Mariano·Oct 27, 2024SaveLearn
Skew-Hom-Lie algebras in Semi-Euclidean spacesIn this paper, first we introduce the notion of a skew-Hom-Lie algebra and give some examples. Then we study their representations and give the coboundary operator of skew-Hom-Lie algebras. As an…Zhen Xiong·Oct 27, 2024SaveLearn
Generalized and new solutions of the NRT nonlinear Schr\"odinger equationIn this paper we present new solutions of the non-linear Schr\"oodinger equation proposed by Nobre, Rego-Monteiro and Tsallis for the free particle, obtained from different Lie symmetry reductions.…P. R. Gordoa, A. Pickering, D. Puertas-Centeno et al.·Oct 26, 2024SaveLearn
Construction and analysis of multi-lump solutions of dispersive long wave equations via integer partitionsIn this paper, the relation between the integer partition theory and a kind of rational solution of the dispersion long wave equations is studied. For the integer partition λ=…Yong-Ning An, Rui Guo·Oct 26, 2024SaveLearn