Vogel's Universality and its ApplicationsThe present thesis represents developments in two main directions related to the simple Lie algebras. The first one is devoted to the representation theory of the simple Lie algebras. Specifically,…Mane Avetisyan·Jul 9, 2022SaveLearn
Green hyperbolic complexes on Lorentzian manifoldsWe develop a homological generalization of Green hyperbolic operators, called Green hyperbolic complexes, which cover many examples of derived critical loci for gauge-theoretic quadratic action…Marco Benini, Giorgio Musante, Alexander Schenkel·Jul 8, 2022SaveLearn
Contact Lie systemsWe define and analyse the properties of contact Lie systems, namely systems of first-order differential equations describing the integral curves of a t-dependent vector field taking values in a…Javier de Lucas, Xavier Rivas·Jul 8, 2022SaveLearn
The diagonal behaviour of the one-particle Coulombic density matrixWe obtain bounds for all derivatives of the non-relativistic Coulombic one-particle density matrix γ(x, y) near the diagonal x = y.Peter Hearnshaw, Alexander V. Sobolev·Jul 8, 2022SaveLearn
Spectral transition model with the general contact interactionUsing a technique introduced by Sergei Naboko, we analyze a generalization of the parameter-controlled model of spectral transition, originally proposed by Smilansky and Solomyak, to the situation…Pavel Exner, Jiří Lipovský·Jul 8, 2022SaveLearn
A geometric model for non-uniform processes of morphogenesisIn this paper we present an application of the groupoid theory to the study of relevant case of material evolution phenomena, the process of morphogenesis. Our theory is inspired by Walter…V. M. Jiménez, M. de León·Jul 7, 2022SaveLearn
The Fr\"ohlich Polaron at Strong Coupling -- Part I: The Quantum Correction to the Classical EnergyWe study the Fr\"ohlich polaron model in R3, and establish the subleading term in the strong coupling asymptotics of its ground state energy, corresponding to the quantum corrections to…Morris Brooks, Robert Seiringer·Jul 7, 2022SaveLearn
Combinatorics of the Berezin-Karpelevich IntegralThe Berezin-Karpelevich integral is a double integral over unitary matrices which plays the role of the Itzykson-Zuber integral in rectangular matrix models. We obtain a topological expansion of the…Jonathan Novak·Jul 6, 2022SaveLearn
Symmetry classification of scalar autonomous Ito stochastic differential equations with simple noiseIt is known that knowledge of a symmetry of a scalar Ito stochastic differential equations leads, thanks to the Kozlov substitution, to its integration. In the present paper we provide a…Giuseppe Gaeta, Miguel Angel Rodriguez·Jul 5, 2022SaveLearn
Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebraThe eigenvalues of the complete commuting set of self-adjoint operators determine the classification of states. We construct a classification for the image of the Jordan-Schwinger mapping of the…G. V. Tushavin, A. I. Trifanov, E. V. Zaitseva·Jul 5, 2022SaveLearn
On the parabolic Cauchy problem for quantum graphs with vertex noiseWe investigate the parabolic Cauchy problem associated with quantum graphs including Lipschitz or polynomial type nonlinearities and additive Gaussian noise perturbed vertex conditions. The vertex…Mihály Kovács, Eszter Sikolya·Jul 5, 2022SaveLearn
Momentum map reduction for nonholonomic systemsThis paper presents a reduction procedure for nonholonomic systems admitting suitable types of symmetries and conserved quantities. The full procedure contains two steps. The first (simple) step…Paula Balseiro, Maria E. Garcia, Cora Tori et al.·Jul 5, 2022SaveLearn
On some aspects of the dynamics of a ball in a rotating surface of revolution and of the kasamawashi artWe study some aspects of the dynamics of the nonholonomic system formed by a heavy homogeneous ball constrained to roll without sliding on a steadily rotating surface of revolution. First, in the…Francesco Fassò, Nicola Sansonetto·Jul 5, 2022SaveLearn
Duality of Orthogonal and Symplectic Random Tensor ModelsThe groups O(N) and Sp(N) are related by an analytic continuation to negative values of N, O(-N) Sp(N). This duality has been studied for vector models, SO(N) and Sp(N) gauge…Razvan Gurau, Hannes Keppler·Jul 5, 2022SaveLearn
Scaling Asymptotics of Wigner Distributions of Harmonic Oscillator Orbital Coherent StatesThe main result of this article gives scaling asymptotics of the Wigner distributions W_Nγ,Nγ of isotropic harmonic oscillator orbital coherent states…Nicholas Lohr·Jul 4, 2022SaveLearn
Adiabatic Ground States in Non-Smooth SpacetimesGround states are a well-known class of Hadamard states in smooth spacetimes. In this paper we show that the ground state of the Klein-Gordon field in a non-smooth ultrastatic spacetime is an…Yafet Sanchez Sanchez, Elmar Schrohe·Jul 4, 2022SaveLearn
Integrable equations associated with the finite-temperature deformation of the discrete Bessel point processWe study the finite-temperature deformation of the discrete Bessel point process. We show that its largest particle distribution satisfies a reduction of the 2D Toda equation, as well as a discrete…Mattia Cafasso, Giulio Ruzza·Jul 4, 2022SaveLearn
Quantitative approach to Grover's quantum walk on graphsIn this paper, we study Grover's search algorithm focusing on continuous-time quantum walk on graphs. We propose an alternative optimization approach to Grover's algorithm on graphs that can…Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou et al.·Jul 4, 2022SaveLearn
Norm approximation for the Fröhlich dynamics in the mean-field regimeWe study the time evolution of the Fröhlich Hamiltonian in a mean-field limit in which many particles weakly couple to the quantized phonon field. Assuming that the particles are initially in a…Nikolai Leopold·Jul 4, 2022SaveLearn
Integrability of Dynamical Systems: A Geometrical ViewpointThe physical phenomena are described by physical quantities related by specific physical laws. In the context of a Physical Theory, the physical quantities and the physical laws are described,…Antonios Mitsopoulos·Jul 4, 2022SaveLearn
Errata and Addenda to: "Hydrodynamic Vortex on Surfaces" and "The motion of a vortex on a closed surface of constant negative curvature"The two papers in the title contain some equations that are not complete. The missing terms, which are of topological origin, were recently unveiled by Bjorn Gustafsson. In this note we present the…Clodoaldo Grotta-Ragazzo·Jul 4, 2022SaveLearn
Hamiltonian gauge theory with corners: constraint reduction and flux superselectionWe study gauge theories on spacetime manifolds with a codimension-1 submanifold with boundary. We characterise the reduced phase space of the theory whenever it is described by a local momentum map…Aldo Riello, Michele Schiavina·Jul 1, 2022SaveLearn
Universal scaling of higher-order spacing ratios in Gaussian random matricesHigher-order spacing ratios are investigated analytically using a Wigner-like surmise for Gaussian ensembles of random matrices. For k-th order spacing ratio (r(k), k>1) the matrix of…Udaysinh T. Bhosale·Jul 1, 2022SaveLearn
Poisson brackets in Sobolev spaces: a mock holonomy-flux algebraThe purpose of this paper is to discuss a number of issues that crop up in the computation of Poisson brackets in field theories. This is specially important for the canonical approaches to…J Fernando Barbero G, Marc Basquens, Bogar Díaz et al.·Jul 1, 2022SaveLearn
Some Remarks on the Regularized Hamiltonian for Three Bosons with Contact InteractionsWe discuss some properties of a model Hamiltonian for a system of three bosons interacting via zero-range forces in three dimensions. In order to avoid the well known instability phenomenon, we…Daniele Ferretti, Alessandro Teta·Jul 1, 2022SaveLearn