Results 11 to 20 of about 35,702 (155)
On local linearization of control systems [PDF]
, 2009 We consider the problem of topological linearization of smooth (C infinity or real analytic) control systems, i.e. of their local equivalence to a linear controllable system via point-wise transformations on the state and the control (static feedback ...
A Juditsky +23 more
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Background independent quantizations: the scalar field II [PDF]
, 2006 We are concerned with the issue of quantization of a scalar field in a diffeomorphism invariant manner. We apply the method used in Loop Quantum Gravity. It relies on the specific choice of scalar field variables referred to as the polymer variables. The
Andrzej Okołów +26 more
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Linearization of homeomorphism groups [PDF]
Proceedings of the American Mathematical Society, 1975 A theorem of Beboutov and Kakutani is extended to a large class of homeomorphism groups.
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New cw-expansive homeomorphisms of surfaces [PDF]
, 2019 In this article we characterize monotone extensions of cw-expansive homeomorphisms of compact metric spaces. We study the topology of its quotient space in the case of a compact surface.
Achigar, Mauricio +2 more
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Groups of piecewise linear homeomorphisms of flows [PDF]
Compositio Mathematica, 2020 To every dynamical system$(X,\varphi )$over a totally disconnected compact space, we associate a left-orderable group$T(\varphi )$. It is defined as a group of homeomorphisms of the suspension of$(X,\varphi )$which preserve every orbit of the suspension flow and act by dyadic piecewise linear homeomorphisms in the flow direction.
Matte Bon, Nicolás, Triestino, Michele
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Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space
Abstract and Applied Analysis, 2012 We define and study the notions of positively and negatively -asymptotic points for a homeomorphism on a metric -space. We obtain necessary and sufficient conditions for two points to be positively/negatively -asymptotic.
Ruchi Das, Tarun Das
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Mathematics, 2020 In practical applications, stochastic effects are normally viewed as the major sources that lead to the system’s unwilling behaviours when modelling real neural systems. As such, the research on network models with stochastic effects is significant.
Pharunyou Chanthorn +6 more
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Linearization of a Contractive Homeomorphism [PDF]
Canadian Journal of Mathematics, 1968 Let X be a topological space and ϕ: X ⟶ X a continuous self-mapping of X. We say that ϕ is linearized in L by Φ if there exists a topological embedding μ: X ⟶ L of the space X into the linear topological vector space L such that for all x ϵ X, μ (ϕ (x)) = Φ (μ (x)), where ϕ is a continuous linear operator on L.
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Hopf differentials and smoothing Sobolev homeomorphisms [PDF]
, 2010 We prove that planar homeomorphisms can be approximated by diffeomorphisms in the Sobolev space $W^{1,2}$ and in the Royden algebra. As an application, we show that every discrete and open planar mapping with a holomorphic Hopf differential is harmonic ...
Iwaniec, Tadeusz +2 more
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Piecewise linear homeomorphisms: the scalar case
Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium, 2000 The class of piecewise linear homeomorphisms (PLH) provides a convenient functional representation for many applications wherein an approximation to data is required that is invertible in closed form. In this paper we introduce the graph intersection (GI) algorithm for "learning" piecewise linear scalar functions in two settings: "approximation", where
Richard E. Groff +2 more
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