Academic literature on the topic 'Kronecker Flow'

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Journal articles on the topic "Kronecker Flow"

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Schwartzman, Sol. "Topological Transitivity on the Torus." Canadian Mathematical Bulletin 37, no. 4 (1994): 549–51. http://dx.doi.org/10.4153/cmb-1994-080-3.

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AbstractT. Ding has shown that a topologically transitive flow on the torus given by a real analytic vector field is orbitally equivalent to a Kronecker flow on the torus, modified so as to have a finite number of fixed points, provided the original flow had only a finite number of fixed points. In this paper it is shown that the assumption that there are only finitely many fixed points is unnecessary.
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Schöbel, Andreas, Jelena Aksentijevic, Mark Stefan, and Johann Blieberger. "Optimization of rail traffic flow using Kronecker algebra during maintenance on infrastructure." Transportation Research Procedia 27 (2017): 545–52. http://dx.doi.org/10.1016/j.trpro.2017.12.040.

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Allami, Ahmed J., Maria Grazia Concilio, Pavan Lally, and Ilya Kuprov. "Quantum mechanical MRI simulations: Solving the matrix dimension problem." Science Advances 5, no. 7 (2019): eaaw8962. http://dx.doi.org/10.1126/sciadv.aaw8962.

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We propose a solution to the matrix dimension problem in quantum mechanical simulations of MRI (magnetic resonance imaging) experiments on complex molecules. This problem is very old; it arises when Kronecker products of spin operators and spatial dynamics generators are taken—the resulting matrices are far too large for any current or future computer. However, spin and spatial operators individually have manageable dimensions, and we note here that the action by their Kronecker products on any vector may be computed without opening those products. This eliminates large matrices from the simul
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Putnam, Ian F. "Strong Morita equivalence for the Denjoy C*-Algebras." Canadian Mathematical Bulletin 31, no. 4 (1988): 439–47. http://dx.doi.org/10.4153/cmb-1988-064-7.

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AbstractThe C*-algebras associated with irrational rotations of the circle were classified up to strong Morita equivalence by M. A. Rieffel. As a corollary, he gave a complete classification of the C*-algebras arising from irrational or Kronecker flows on the 2-torus up to *-isomorphism. Here, we extend the result to the socalled Denjoy homeomorphisms. Specifically, we give a necessary and sufficient condition for the strong Morita equivalence of two C*-algebras arising from homeomorphisms of the circle without periodic points. As a corollary, we show that two C*-algebras arising from flows on
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Oh, HyungSeon. "A Unified and Efficient Approach to Power Flow Analysis." Energies 12, no. 12 (2019): 2425. http://dx.doi.org/10.3390/en12122425.

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Highly nonlinear and nonconvex power flow analysis plays a key role in the monitoring, control, and operation of power systems. There is no analytic solution to power flow problems, and therefore, finding a numerical solution is oftentimes an aim of modern computation in power system analysis. An iterative Newton-Raphson method is widely in use. While most times this method finds a solution in a reasonable time, it often involves numerical robustness issues, such as a limited convergence region and an ill-conditioned system. Sometimes, the truncation error may not be small enough to ignore, wh
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Hajiazizi, Mohammad, and Adel Graili. "A novel hybrid meshless method for seepage flows in non-homogeneous and anisotropic soils." Engineering Computations 35, no. 2 (2018): 867–86. http://dx.doi.org/10.1108/ec-07-2017-0245.

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Purpose The purpose of this paper is to extend the scaled boundary radial point interpolation method (SBRPIM), as a novel semi-analytical scheme, to the analysis of the steady state confined seepage flows. Design/methodology/approach This method combines the advantages of the scaled boundary finite element method and the BRPIM. In this method, only boundary nodes are used, no fundamental solution of the problem is required, and as the shape functions constructed based on the RPIM satisfy the Kronecker delta function property, the boundary conditions of problems can be imposed accurately and ea
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Ghoneim, Adam Yehudi. "The Meshfree Interface Finite Element Method for Numerical Simulation of Dendritic Solidification with Fluid Flow." International Journal of Computational Methods 15, no. 07 (2018): 1850057. http://dx.doi.org/10.1142/s0219876218500573.

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In this paper, we use the newly proposed meshfree interface finite element method (MIFEM) for numerical simulation of dendritic solidification with fluid flow. In the MIFEM, meshfree points without connectivity are imposed directly at the zero-isocontour of an implicit function defining the interface which is allowed to arbitrarily intersect the finite elements. The MIFEM utilizes the constructed interface points for meshfree solution of a variational level set equation based on the Ginzburg–Landau energy functional minimization such that the reinitialization procedure is completely eliminated
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Pomi, Andrés, Eduardo Mizraji, and Juan Lin. "Tensor Representation of Topographically Organized Semantic Spaces." Neural Computation 30, no. 12 (2018): 3259–80. http://dx.doi.org/10.1162/neco_a_01132.

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Human brains seem to represent categories of objects and actions as locations in a continuous semantic space across the cortical surface that reflects the similarity among categories. This vision of the semantic organization of information in the brain, suggested by recent experimental findings, is in harmony with the well-known topographically organized somatotopic, retinotopic, and tonotopic maps in the cerebral cortex. Here we show that these topographies can be operationally represented with context-dependent associative memories. In these models, the input vectors and, eventually also, th
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Stern, Thomas E., and Anwar I. Elwalid. "Analysis of separable Markov-modulated rate models for information-handling systems." Advances in Applied Probability 23, no. 01 (1991): 105–39. http://dx.doi.org/10.1017/s0001867800023363.

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In many communication and computer systems, information arrives to a multiplexer, switch or information processor at a rate which fluctuates randomly, often with a high degree of correlation in time. The information is buffered for service (the server typically being a communication channel or processing unit) and the service rate may also vary randomly. Accurate capture of the statistical properties of these fluctuations is facilitated by modeling the arrival and service rates as superpositions of a number of independent finite state reversible Markov processes. We call such models separable
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Stern, Thomas E., and Anwar I. Elwalid. "Analysis of separable Markov-modulated rate models for information-handling systems." Advances in Applied Probability 23, no. 1 (1991): 105–39. http://dx.doi.org/10.2307/1427514.

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In many communication and computer systems, information arrives to a multiplexer, switch or information processor at a rate which fluctuates randomly, often with a high degree of correlation in time. The information is buffered for service (the server typically being a communication channel or processing unit) and the service rate may also vary randomly. Accurate capture of the statistical properties of these fluctuations is facilitated by modeling the arrival and service rates as superpositions of a number of independent finite state reversible Markov processes. We call such models separable
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Dissertations / Theses on the topic "Kronecker Flow"

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Gottfridsson, Anneli. "Likelihood ratio tests of separable or double separable covariance structure, and the empirical null distribution." Thesis, Linköpings universitet, Matematiska institutionen, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-69738.

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The focus in this thesis is on the calculations of an empirical null distributionfor likelihood ratio tests testing either separable or double separable covariancematrix structures versus an unstructured covariance matrix. These calculationshave been performed for various dimensions and sample sizes, and are comparedwith the asymptotic χ2-distribution that is commonly used as an approximative distribution. Tests of separable structures are of particular interest in cases when data iscollected such that more than one relation between the components of the observationis suspected. For instance,
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Duwenig, Anna. "Poincaré self-duality of A_θ". Thesis, 2020. http://hdl.handle.net/1828/11678.

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The irrational rotation algebra A_θ is known to be Poincaré self-dual in the KK-theoretic sense. The spectral triple representing the required K-homology fundamental class was constructed by Connes out of the Dolbeault operator on the 2-torus, but so far, there has not been an explicit description of the dual element. We geometrically construct, for certain elements g of the modular group, a finitely generated projective module L_g over A_θ ⊗ A_θ out of a pair of transverse Kronecker flows on the 2-torus. For upper triangular g, we find an unbounded cycle representing the dual of said modu
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Conference papers on the topic "Kronecker Flow"

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Haji Mohammadi, Mohammad, and A. Shamsai. "Meshless Solution of 2D Fluid Flow Problems by Subdomain Variational Method Using MLPG Method With Radial Basis Functions (RBFs)." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98286.

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This paper deals with the solution of two-dimensional fluid flow problems using the truly meshless Local Petrov-Galerkin (MLPG) method. The present method is a truly meshless method based only on a number of randomly located nodes. Radial basis functions (RBF) are employed for constructing trial functions in the local weighted meshless local Petrov-Galerkin method for two-dimensional transient viscous fluid flow problems. No boundary integration is needed, no element matrix assembly is required and no special treatment is needed to impose the essential boundary conditions due to satisfaction o
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Haji Mohammadi, Mohammad. "Meshless Local Petrov-Galerkin (MLPG) Method for Incompressible Viscous Fluid Flows." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98426.

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In this paper, the truly Meshless Local Petrov-Galerkin (MLPG) method is extended for computation of unsteady incompressible flows, governed by the Navier–Stokes equations (NSE), in vorticity-stream function formulation. The present method is a truly meshless method based only on a number of randomly located nodes. The formulation is based on two equations including stream function Poisson equation and vorticity advection-dispersion-reaction eq. (ADRE). The meshless method is based on a local weighted residual method with the Heaviside step function and quartic spline as the test functions res
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Lukyanov, Alexander A. "Thermodynamically Consistent Anisotropic Plasticity Model." In 2006 International Pipeline Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/ipc2006-10398.

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The objective of the work presented in this paper is to consider the thermodynamically consistent anisotropic plasticity model based on full decomposition of stress tensor into generalised deviatoric part and generalised spherical part of stress tensor. Two fundamental tensors αij and βij which represents anisotropic material properties are defined and can be considered as generalisations of the Kronecker delta symbol which plays the main role in the theory of isotropic materials. Using two fundamental tensors, αij and βij, the concept of total generalised “pressure” and pressure corresponding
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