Diffraction of large-number whispering gallery mode by boundary straightening with jump of curvatureDiffraction of a high-frequency large-number whispering gallery mode is studied, which runs along a concave curve turning to a straight line. At the point of straitening, the curvature of the…E. A. Zlobina·Aug 7, 2024SaveLearn
Transparent PT-symmetric nonlinear networksWe consider reflectionless wave propagation in networks modeled in terms of the nonlocal nonlinear Schr\"odinger (NNLS) equation on metric graphs, for which transparent boundary conditions are…Mashrab Akramov, Jambul Yusupov, Matthias Ehrhardt et al.·Aug 7, 2024SaveLearn
Application of the Theory of Functional Connections to the Perturbed Lambert's ProblemA numerical approach to solve the perturbed Lambert's problem is presented. The proposed technique uses the Theory of Functional Connections, which allows the derivation of a constrained functional…Franco Criscola, David Canales, Daniele Mortari·Aug 6, 2024SaveLearn
Combinatorial proof of a Non-Renormalization TheoremWe provide a direct combinatorial proof of a Feynman graph identity which implies a wide generalization of a formality theorem by Kontsevich. For a Feynman graph , we associate to each vertex…Paul-Hermann Balduf, Davide Gaiotto·Aug 6, 2024SaveLearn
Scattering theory for C2 long-range potentialsWe develop a complete stationary scattering theory for Schr\"odinger operators on Rd, d 2, with C2 long-range potentials. This extends former results in the literature, in…K. Ito, E. Skibsted·Aug 6, 2024SaveLearn
Degenerate and irregular topological recursionWe use the theory of x-y duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recursion". This new…Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski et al.·Aug 5, 2024SaveLearn
Integrable hierarchies and F-manifolds with compatible connectionBuilding on the interplay between geometry and integrability, we show that F-manifolds with compatible connection (∇,,e) are the geometric counterpart of integrable systems of quasilinear…Paolo Lorenzoni, Sara Perletti, Karoline van Gemst·Aug 5, 2024SaveLearn
Cospectral trees indistinguishable by scatteringLet v1 and v2 be two distinct vertices of a tree T0. Let φN(i) (i=1,2) be the characteristic functions of the Sturm-Liouville problem on T0 rooted at vi with Neumann conditions at the…Mats-Erik Pistol, Vyacheslav Pivovarchik·Aug 4, 2024SaveLearn
Green's function estimates for quasi-periodic operators on Zd with power-law long-range hoppingWe establish quantitative Green's function estimates for a class of quasi-periodic (QP) operators on Zd with power-law long-range hopping and analytic cosine type potentials. As…Yunfeng Shi, Li Wen·Aug 4, 2024SaveLearn
Inverse problem for 3-rd order operators under the 3-point Dirichlet conditionsWe solve an inverse problem for a third order differential operator under the 3-point Dirichlet conditions. The third-order operator is an L-operator in the Lax pair for the good Boussinesq…Andrey Badanin, Evgeny Korotyaev·Aug 3, 2024SaveLearn
Inverse problem for the L-operator in the Lax Pair of the Boussinesq equation on the circleWe consider a third-order non-self-adjoint operator, which is an L-operator in the Lax pair for the Boussinesq equation on the circle. We construct a mapping from the set of operator coefficients…Andrey Badanin, Evgeny Korotyaev·Aug 3, 2024SaveLearn
Poisson superalgebras and quantizationIn this work, we find the Poisson superalgebras related to schemes of quantization. Initially, we consider the Dirac superbracket in the context of the quantization of constrained systems. Next, we…Marco A. S. Trindade·Aug 3, 2024SaveLearn
Notions of Fermionic Entropies of a Causal Fermion SystemThe fermionic von Neumann entropy, the fermionic entanglement entropy and the fermionic relative entropy are defined for causal fermion systems. Our definition makes use of entropy formulas for…Felix Finster, Robert H. Jonsson, Magdalena Lottner et al.·Aug 3, 2024SaveLearn
Laplacian and codifferential operators on p-forms in (Anti)-de Sitter spaces: restriction and continuationWe derive explicit restriction and continuation formulas between n-dimensional (Anti)-de Sitter spaces and the (n + 1)-dimensional Minkowskian ambient space for the codifferential and Laplace-de Rham…E. Huguet, J. Queva, J. Renaud·Aug 2, 2024SaveLearn
Baryogenesis in Minkowski SpacetimeBased on a mechanism originally suggested for causal fermion systems, the present paper paves the way for a rigorous treatment of baryogenesis in the language of differential geometry and global…Felix Finster, Marco van den Beld-Serrano·Aug 2, 2024SaveLearn
On the Feynman Graph Integrals on Elliptic CurvesWe introduce the regularized integrals for decorated graphs on elliptic curves, which produces an almost holomorphic function on upper half plane. Then we give the graph version of holomorphic…Xiaoxiao Yang·Aug 2, 2024SaveLearn
Geometric Linearization for Constraint Hamiltonian SystemsThis study investigates the geometric linearization of constraint Hamiltonian systems using the Jacobi metric and the Eisenhart lift. We establish a connection between linearization and maximally…Andronikos Paliathanasis·Aug 2, 2024SaveLearn
Affine Connection Approach to the Realization of Nonholonomic Constraints by Strong Friction ForcesIn this paper, we study an affine connection approach to realizing nonholonomic mechanical systems mediated by viscous friction forces with large coefficients, viewed as a singular perturbation of…Vaughn Gzenda, Robin Chhabra·Jul 31, 2024SaveLearn
Kramers-Kronig relations via Laplace formalism and L1 integrabilityKramers-Kronig relations link the real and imaginary part of the Fourier transform of a well-behaved causal transfer function describing a linear, time-invariant system. From the physical point of…Marco Prevedelli, Alessio Perinelli, Leonardo Ricci·Jul 31, 2024SaveLearn
A network based approach for unbalanced optimal transport on surfacesIn this paper, we present a neural network approach to address the dynamic unbalanced optimal transport problem on surfaces with point cloud representation. For surfaces with point cloud…Jiangong Pan, Wei Wan, Yuejin Zhang et al.·Jul 31, 2024SaveLearn
Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fieldsThe Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra Uq(A2(2)) symmetry. Applying the t-W method, we derive the homogeneous zero roots Bethe…Pengcheng Lu, Junpeng Cao, Wen-Li Yang et al.·Jul 31, 2024SaveLearn
Lectures on Coulomb and Riesz gasesThis is the preliminary version of a book on Coulomb and Riesz gases that grew out of a set of notes written for graduate courses taught at the Courant Institute, at the Ecole Normale Sup\'erieure,…Sylvia Serfaty·Jul 30, 2024SaveLearn
Comparative Analyses of the Type D ASEP: Stochastic Fusion and Crystal BasesThe Type D asymmetric simple exclusion process (ASEP) is a particle system involving two classes of particles that can be viewed from both a probabilistic and an algebraic perspective…Erik Brodsky, Eva R. Engel, Connor Panish et al.·Jul 30, 2024SaveLearn
On crystallization in the plane for pair potentials with an arbitrary normWe investigate two-dimensional crystallization phenomena, i.e. minimality of a lattice's patch for interaction energies, with pair potentials of type (x,y) V(\|x-y\|) where \|·\| is an…Laurent Bétermin, Camille Furlanetto·Jul 30, 2024SaveLearn
Abstract semiclassical analysis of the van Hove modelIn this paper we study the semiclassical limit 0 of a completely solvable model in quantum field theory: the van Hove model, describing a scalar field created and annihilated by an…Marco Falconi, Lorenzo Fratini·Jul 30, 2024SaveLearn