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Comptes rendus - Mathematique, ISSN 1631-073X, 11/2017, Volume 355, Issue 11, p. 1185
To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1016/j.crma.2017.10.016 In 1980,... 
Journal Article
European Physical Journal D, ISSN 1434-6060, 06/2010, Volume 58, Issue 3, pp. 385 - 396
We prove versions of the Bell and the GHZ theorems that do not assume locality but only the effect after cause principle (EACP) according to which for any... 
MECHANICS | INEQUALITIES | OPTICS | QUANTUM CORRELATIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Refuse | Observers | Bells | Theorems | Invariance | Physics - Quantum Physics
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 06/2015, Volume 75, pp. 218 - 242
Toward the middle of 2001, the authors started arguing that fractals are important when discussing the operational resilience of information systems and... 
BROWNIAN-MOTION | UNIVERSALITY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | DIMENSION | PHASE-TRANSITIONS | TURBULENCE | DIFFUSION | PHYSICS, MATHEMATICAL | RENORMALIZATION
Journal Article
Israel Journal of Mathematics, ISSN 0021-2172, 9/2017, Volume 221, Issue 1, pp. 445 - 469
We study the absorbing invariant set of a dynamical system defined by a map derived from Error Diffusion, a greedy online approximation algorithm that... 
Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | CONVEX DYNAMICS | AFFINE MAPS | PIECEWISE ROTATIONS | SETS | Algorithms | Research | Mathematical research | Error analysis (Mathematics) | Invariants
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 2015, Volume 56, Issue 9, p. 92104
We prove a version of Bell's theorem in which the locality assumption is weakened. We start by assuming theoretical quantum mechanics and weak forms of... 
PHYSICS, MATHEMATICAL | HIDDEN-VARIABLES | LOCALITY | Theorems | Correlation | Quantum mechanics | Relativity | Relativism | Quantum physics | Quantum theory | Relativistic effects | BELL THEOREM | CORRELATION FUNCTIONS | ORIGIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CAUSALITY | CORRELATIONS | HIDDEN VARIABLES | QUANTUM MECHANICS | RELATIVISTIC RANGE
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 09/2007, Volume 17, Issue 3, pp. 033110 - 033110-12
We discuss the greedy algorithm for approximating a sequence of inputs in a family of polytopes lying in affine spaces by an output sequence made of vertices... 
PHYSICS, MATHEMATICAL | MATHEMATICS, APPLIED | FAIRNESS
Journal Article
Physical Review Letters, ISSN 0031-9007, 06/2013, Volume 110, Issue 26, p. 260409
Given a sequence of pairs (pi, (p) over bar (i)) of spin-1/2 particles in the singlet state, assume that Alice measures the normalized projections a(i) of the... 
PHYSICS, MULTIDISCIPLINARY | HIDDEN-VARIABLES | QUANTUM | Physics - Quantum Physics
Journal Article
Experimental Mathematics, ISSN 1058-6458, 10/2014, Volume 23, Issue 4, pp. 363 - 382
We investigate the so-called persistence problem of Sloane, exploiting connections with the dynamics of circle maps and the ergodic theory of actions. We also... 
Primary 37E10 | persistence | circle maps | ergodic | actions | Secondary 37A45 | Persistence | Ergodic Z | Circle maps | MATHEMATICS | ergodic Z(d)-actions
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 8/2001, Volume 21, Issue 4, pp. 959 - 999
We discuss the dynamics of a class of non-ergodic piecewise affine maps of the torus. These maps exhibit highly complex and little understood behavior. We... 
SAWTOOTH MAP | PERIODIC-ORBITS | CHAOS | FRACTALS | MATHEMATICS, APPLIED | OVERFLOW NONLINEARITY | POLYGONAL BILLIARDS | 2ND-ORDER DIGITAL-FILTER | BEHAVIOR | INTERVAL EXCHANGE TRANSFORMATIONS | OSCILLATIONS
Journal Article
Comptes Rendus Mathematique, ISSN 1631-073X, 11/2017, Volume 355, Issue 11, pp. 1185 - 1189
In 1980, Yano showed that on smooth compact manifolds, for endomorphisms in dimension one or above and homeomorphisms in dimensions greater than one,... 
Journal Article
ACM Transactions on Algorithms (TALG), ISSN 1549-6325, 07/2011, Volume 7, Issue 3, pp. 1 - 22
We study several classes of related scheduling problems including the carpool problem, its generalization to arbitrary inputs and the chairman assignment... 
Carpool problems | greedy algorithm | chairman problems | optimality | Greedy algorithm | Chairman problems | Optimality | MATHEMATICS, APPLIED | CONVEX DYNAMICS | FAIRNESS | COMPUTER SCIENCE, THEORY & METHODS | Greedy algorithms | Algorithms | Upper bounds | On-line systems | Scheduling | Online | Optimization
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2000, Volume 209, Issue 1, pp. 123 - 178
Consider real cubic maps of the interval onto itself, either with positive or with negative leading coefficient. This paper completes the proof of the... 
DIMENSIONAL DYNAMICAL-SYSTEMS | PERIODIC-ORBITS | VOLUME GROWTH | ANTIMONOTONICITY | NONEXISTENCE | BIMODAL MAPS | GENEALOGY | PHYSICS, MATHEMATICAL | WANDERING INTERVALS | TOPOLOGICAL ATTRACTORS | SKELETON
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 09/2015, Volume 56, Issue 9, p. 1
We prove a version of Bell's theorem in which the locality assumption is weakened. We start by assuming theoretical quantum mechanics and weak forms of... 
Theorems | Correlation analysis | Kinematics | Causality | Quantum physics
Journal Article
Comptes rendus - Mathématique, ISSN 1631-073X, 11/2017, Volume 355, Issue 11, pp. 1185 - 1189
In 1980, Yano showed that on smooth compact manifolds, for endomorphisms in dimension one or above and homeomorphisms in dimensions greater than one,... 
MATHEMATICS
Journal Article
Experimental Mathematics, ISSN 1058-6458, 10/2014, Volume 23, Issue 4, pp. 363 - 382
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 03/2004, Volume 14, Issue 1, pp. 55 - 71
A greedy algorithm for scheduling and digital printing with inputs in a convex polytope, and vertices of this polytope as successive outputs, has recently been... 
MATHEMATICS, APPLIED | CONTINUOUS PARAMETERS | QUADRATIC-FORMS | PHYSICS, MATHEMATICAL | THEOREM | RENORMALIZATION | Signal Processing, Computer-Assisted | Algorithms | Models, Statistical | Nonlinear Dynamics | Computer Simulation
Journal Article
Nonlinearity, ISSN 0951-7715, 09/2004, Volume 17, Issue 5, pp. 1645 - 1676
A greedy algorithm for scheduling and digital printing with inputs in a polytope lying in an affine space, and vertices of this polytope as successive outputs,... 
MATHEMATICS, APPLIED | PIECEWISE | CONTINUOUS PARAMETERS | QUADRATIC-FORMS | PHYSICS, MATHEMATICAL
Journal Article
09/2017
For bi-Lipschitz homeomorphisms of a compact manifold it is known that topological entropy is always finite. For compact manifolds of dimension two or greater,... 
Mathematics - Dynamical Systems
Journal Article
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