Results 101 to 110 of about 16,140 (179)
Random walk on the Poincaré disk induced by a group of Möbius transformations
Markov processes and related fields, 2018 We consider a discrete-time random motion, Markov chain on the Poincaré disk. In the basic variant of the model a particle moves along certain circular arcs within the disk, its location is determined by a composition of random Möbius transformations.
McCarthy, Charles +3 more
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IET Cyber-Systems and Robotics, Volume 8, Issue 1, January/December 2026.ABSTRACT Reduced‐order models (ROMs) are widely employed in biped robot control due to their computational efficiency, but their simplified representations often neglect critical nonlinear dynamics, leading to limited robustness under real‐world disturbances.
Jia Li, Yan Liu
wiley +1 more source
The Poincare conjecture for digital spaces. Properties of digital n-dimensional disks and spheres
CoRR, 2006 Motivated by the Poincare conjecture, we study properties of digital n-dimensional spheres and disks, which are digital models of their continuous counterparts. We introduce homeomorphic transformations of digital manifolds, which retain the connectedness, the dimension, the Euler characteristics and the homology groups of manifolds. We find conditions
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Poincaré disk as a model of squeezed states of a harmonic oscillator
Journal of Mathematical PhysicsSingle-mode squeezed states exhibit a direct correspondence with points on the Poincaré disk. In this study, we delve into this correspondence and describe the motions of the disk generated by a quadratic Hamiltonian. This provides a geometric representation of squeezed states and their evolution.
Ian Chi, Martin Fraas, Tina Tan
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Probability Distributions attached to generalised Bergman Spaces on the Poincaré Disk
, 2010 A family of probability distributions attached to a class of generalized weighted Bergman spaces on the Poincaré disk are introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As application, photon number statistics related to coherent states under consideration are discussed.
Askour, Nour Eddine, Mouayn, Zouhair
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Collinearity of points on Poincaré unit disk and Riemann sphere
Publicationes Mathematicae DebrecenWe study certain points significant for the hyperbolic geometry of the unit disk.~We give explicit formulas for the intersection points of the Euclidean lines and the stereographic projections of great circles of the Riemann sphere passing through these points.
Masayo Fujimura +2 more
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Nuclear Physics BIn this work, we investigate the trajectories of a charged test particle in the spacetime of a charged Kalb-Ramond black hole under a small violation of Lorentz symmetry.
Mona Bin-Asfour +3 more
doaj +1 more source
Formulation Of Quantum Mechanics On Poincaré Disks
, 2021 The unexploited unification of general relativity and quantum mechanics (QM) prevents the proper understanding of the micro- and macroscopic world. Here we put forward a mathematical approach that introduces the problem in terms of negative curvature manifolds.
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A non commutative Kähler structure on the Poincaré disk of a C*-algebra
, 2019 We study the Poincaré disk $\d=\{z\in\a: \|z\|<1\}$ of a C$^*$-algebra $\a$ as a homogeneous space under the action of an appropriate Banach-Lie group $\u(θ)$ of $2\times 2$ matrices with entries in $\a$. We define on $\d$ a homogeneous Kähler structure in a non commutative sense.
Andruchow, Esteban +2 more
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Measurement + ControlIn this study, a biomechanical model mimicking the human hand-arm system under heavy disk excitation is developed to define the stability threshold between the preload vibration and the stress of the human hand-arm system.
Bernard Xavier Tchomeni Kouejou +1 more
doaj +1 more source