Results 61 to 70 of about 16,119 (189)
Seven-Disk Manifold, alpha-attractors and B-modes
Cosmological alpha-attractor models in \cN=1 supergravity are based on hyperbolic geometry of a Poincar\'e disk with the radius square {\cal R}^2=3\alpha. The predictions for the B-modes, r\approx 3\alpha {4\over N^2}, depend on moduli space geometry and
Ferrara, Sergio, Kallosh, Renata
core +1 more source
Mating parabolic rational maps with Hecke groups
Abstract We prove that any degree d$d$ rational map having a parabolic fixed point of multiplier 1 with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group Hd+1$\mathcal {H}_{d+1}$, with the mating realised by an algebraic correspondence.
Shaun Bullett +3 more
wiley +1 more source
Transcendental Equations for Nonlinear Optimization in Hyperbolic Space
We present a novel application of transcendental equations for nonlinear distance optimization in hyperbolic space. Through asymptotic approximations using Fourier and Taylor series expansions, we obtain approximations for the transcendental equations ...
Pranav Kulkarni, Harmanjot Singh
doaj +1 more source
Nonlinear Dynamic Analysis of Rotor Rub-Impact System
A dynamic model of a double-disk rub-impact rotor-bearing system with rubbing fault is established. The dynamic differential equation of the system is solved by combining the numerical integration method with MATLAB.
Youfeng Zhu +5 more
doaj +1 more source
Spectral Resolution of the Neumann–Poincaré Operator on Intersecting Disks and Analysis of Plasmon Resonance [PDF]
The purpose of this paper is to investigate the spectral nature of the Neumann-Poincar operator on the intersecting disks, which is a domain with the Lipschitz boundary. The complete spectral resolution of the operator is derived, which shows in particular that it admits only the absolutely continuous spectrum, no singularly continuous spectrum and ...
Kang, Hyeonbae +2 more
openaire +3 more sources
Harmonic maps to the circle with higher dimensional singular set
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley +1 more source
Searching for ribbons with machine learning
We apply Bayesian optimization and reinforcement learning to a problem in topology: the question of when a knot bounds a ribbon disk. This question is relevant in an approach to disproving the four-dimensional smooth Poincaré conjecture; using our ...
Sergei Gukov +3 more
doaj +1 more source
A Scalable Architecture for Secured Access to Distributed Services
Web services which are an implementation of Services Oriented Architecture (SOA), are emergent technologies and promising the development, the deployment and the integration of Internet applications. They are initially based on three main layers that are
Telesphore Tiendrebeogo
doaj +1 more source
Gravitational Wave Signals from Chaotic System: A Point Mass with A Disk
We study gravitational waves from a particle moving around a system of a point mass with a disk in Newtonian gravitational theory. A particle motion in this system can be chaotic when the gravitational contribution from a surface density of a disk is ...
G. Contopoulos +8 more
core +1 more source
WDVV‐based recursion for open Gromov–Witten invariants
Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley +1 more source

