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Advances in Mathematics, ISSN 0001-8708, 05/2018, Volume 330, pp. 946 - 996
We show that for every ergodic system (X,μ,T1,…,Td) with commuting transformations, the... 
Topological models | Pointwise convergence | Cubic averages | MATHEMATICS | EXTENSIONS | SYSTEMS | CUBES | NORM CONVERGENCE | RECURRENCE | 2 COMMUTING TRANSFORMATIONS
Journal Article
Real Analysis Exchange, ISSN 0147-1937, 1/2019, Volume 44, Issue 1, pp. 167 - 180
For a compact set , we have two indexes given under simple parameters of the set (these parameters go back to Besicovitch and Taylor in the late 50's). In the... 
Open intervals | Mathematical theorems | Mathematical sets | RESEARCH ARTICLES | Lebesgue measures | Cubes | Ratio test | Mathematics | Mathematical functions | Density
Journal Article
Czechoslovak Mathematical Journal, ISSN 0011-4642, 6/2014, Volume 64, Issue 2, pp. 519 - 537
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2012, Volume 50, Issue 3, pp. 1433 - 1455
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 2/2018, Volume 288, Issue 1, pp. 333 - 360
We study threshold functions for the existence of solutions to linear systems of equations in random sets and present a unified framework which includes... 
Mathematics, general | Mathematics | MATHEMATICS | PROOF | LINEAR-EQUATION | THEOREM | VOLUME | Random sets | Matemàtiques i estadística | Geometria | Àrees temàtiques de la UPC | Random, variables de
Journal Article
Advanced Science Letters, ISSN 1936-6612, 10/2015, Volume 21, Issue 10, pp. 2974 - 2978
This study designs and proposes a Quality-of-Experience-based Digital-convergence iHome caregiving service platform with adaptive event construction and... 
Digital convergence | Integrated social network | Open services gateway initiative (OSGi) | Situation confliction | Quality of experience (QoE) | Remote sensors | Construction | Wireless networks | Cubes | Servers | Engines | Application servers | Convergence
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 04/2011, Volume 139, Issue 4, pp. 1445 - 1454
Journal Article
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2010, Volume 59, Issue 2, pp. 427 - 457
Journal Article
Russian Mathematical Surveys, ISSN 0036-0279, 2016, Volume 71, Issue 2, pp. 379 - 381
Let [dbl-struck I] super(n)= [0,1] super(n) be the n-dimensional cube, [dbl-struck T] super(i) [0,2[pi]) super(n) the n-dimensional torus, and C([dbl-struck I]... 
MATHEMATICS | Functions (mathematics) | Mathematical analysis | Cubes | Texts | Fourier series | Formulas (mathematics) | Continuity (mathematics) | Convergence
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 3/2012, Volume 32, Issue 3, pp. 1 - 21
We study the limiting behavior of multiple ergodic averages involving several, not necessarily commuting, measure-preserving transformations. We work on two... 
MATHEMATICS | MATHEMATICS, APPLIED | CUBES | RECURRENCE | THEOREM | Dynamical systems | Polynomials | Mathematics | Variability | Transformations | Combinatorial analysis | Constraining | Ergodic processes | Convergence
Journal Article
Neural Network World, ISSN 1210-0552, 2012, Volume 22, Issue 4, pp. 343 - 355
After sigmoid activation function is replaced with piecewise linear activation function, the adding decaying self-feedback continuous Hopfield neural network... 
Piecewise linear function | Adding decaying self-feedback continuous Hopfield neural network | Hyper-cube | Convergence analysis | convergence analysis | piecewise linear function | hyper-cube | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | GLOBAL CONVERGENCE
Journal Article
The Annals of Statistics, ISSN 0090-5364, 8/2000, Volume 28, Issue 4, pp. 1105 - 1127
Gaussian mixtures provide a convenient method of density estimation that lies somewhere between parametric models and kernel density estimators. When the... 
Density estimation | Maximum likelihood estimation | Lebesgue measures | Cubes | Maximum likelihood estimators | Inference | Entropy | Density | Parametric models | Estimators | Mixtures | Sieves | Rates of convergence | sieves | STATISTICS & PROBABILITY | BAYESIAN DENSITY-ESTIMATION | density estimation | mixtures | rates of convergence | none
Journal Article
Journal of Complexity, ISSN 0885-064X, 08/2014, Volume 30, Issue 4, pp. 444 - 468
This paper provides the theoretical foundation for the component-by-component (CBC) construction of randomly shifted lattice rules that are tailored to... 
Monte Carlo methods | Construction | Function space | Integrals | Lattices | Cubes | Strategy | Density
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2009, Volume 58, Issue 5, pp. 2369 - 2407
We study the asymptotic behaviour, as ε → 0, of a sequence {uε} of minimizers for the Ginzburg-Landau functional which satisfies local energy bounds of order |... 
Topological compactness | Interpolation | Mathematical sequences | Integral currents | Minimal surfaces | Cubes | Mathematical constants | Mathematical functions | Jacobians | Γ-convergence | Ginzburg-landau | Vortices | MATHEMATICS | FIELD | vortices | minimal surfaces | Gamma-convergence | Ginzburg-Landau | 3 DIMENSIONS | EQUATION
Journal Article
Studia Mathematica, ISSN 0039-3223, 2010, Volume 196, Issue 1, pp. 13 - 22
We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results.... 
Averages along cubes | Commuting transformations | Magic system | Ergodic seminorms | MATHEMATICS | commuting transformations | averages along cubes | magic system | ergodic seminorms
Journal Article
Applied Physics Letters, ISSN 0003-6951, 07/2018, Volume 113, Issue 5
We demonstrate acoustic trapping in both position and orientation of a non-spherical particle of sub-wavelength size in mid-air. To do so, we multiplex in time... 
Multiplexing | Pyramids | Torque | Acoustic levitation | Crickets | Levitation | Locks | Acoustics | Orientation | Convergence | Standing waves | Trapping | Insects | Cubes | Stiffness | Containment | Cylinders
Journal Article
Scandinavian Journal of Statistics, ISSN 0303-6898, 12/2005, Volume 32, Issue 4, pp. 639 - 660
Journal Article
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