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Nonlocal Cellular Automata
"... Nonlocal cellular automata are fully discretized and uniform highdimensional dynamical systems with nonlocal interactions. It is emphasized that although nonlocal interaction is not considered as a correct description of the physical world at its lowest level, at higher levels, it nevertheless i ..."
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Nonlocal cellular automata are fully discretized and uniform highdimensional dynamical systems with nonlocal interactions. It is emphasized that although nonlocal interaction is not considered as a correct description of the physical world at its lowest level, at higher levels, it nevertheless
Perturbation by NonLocal Operators
, 2012
"... Suppose that d ≥ 1 and 0 < β < α < 2. We establish the existence and uniqueness of the fundamental solution q b (t, x, y) to a class of (possibly nonsymmetric) nonlocal operators L b = ∆ α/2 + S b, where S b ∫ f(x): = A(d, −β) R d f(x + z) − f(x) − ∇f(x) · z1{z≤1}) b(x, z) dz z d+β ..."
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Cited by 4 (3 self)
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Suppose that d ≥ 1 and 0 < β < α < 2. We establish the existence and uniqueness of the fundamental solution q b (t, x, y) to a class of (possibly nonsymmetric) nonlocal operators L b = ∆ α/2 + S b, where S b ∫ f(x): = A(d, −β) R d f(x + z) − f(x) − ∇f(x) · z1{z≤1}) b(x, z) dz z d
Examples of nonlocality
"... Elementary Classes (AEC) which satisfy the amalgamation property but fail various conditions on the locality of Galoistypes. We introduce the notion that an AEC admits intersections. We conclude that for AEC which admit intersections, the amalgamation property can have no positive effect on localit ..."
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Cited by 3 (1 self)
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on locality: there is a transformation of AEC’s which preserves nonlocality but takes any AEC which admits intersections to one with amalgamation. More specifically we have: Theorem 5.3. There is an AEC with amalgamation which is not (ℵ0, ℵ1)tame but is (2 ℵ0, ∞)tame; Theorem 3.3. It is consistent with ZFC
NonLocal Dispersal
"... Equations with nonlocal dispersal have been used extensively as models in material science, ecology and neurology. We discuss the scalar bistable case u t (x) = ae fi(x; y)u(y)dy \Gamma u(x) + f(u) and contrast it with the corresponding reactiondiffusion equation. We show that for large ..."
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Cited by 1 (0 self)
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Equations with nonlocal dispersal have been used extensively as models in material science, ecology and neurology. We discuss the scalar bistable case u t (x) = ae fi(x; y)u(y)dy \Gamma u(x) + f(u) and contrast it with the corresponding reactiondiffusion equation. We show that for large
Is Quantum Mechanics NonLocal?
, 1998
"... Stapp has recently argued from a version of the Hardy type experiments that quantum mechanics must be nonlocal, independent of any additional assumptions like realism or hidden variables. I argue that either his conclusions do not follow from his assumptions, or that his assumptions are not true of ..."
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Stapp has recently argued from a version of the Hardy type experiments that quantum mechanics must be nonlocal, independent of any additional assumptions like realism or hidden variables. I argue that either his conclusions do not follow from his assumptions, or that his assumptions are not true
Nonlocal operators and applications
, 2008
"... One of the main objectives of this workshop was to present a state of the art of current research on nonlocal operators. Over the last few years, there has been a lot of interests for such operators, and much progress have been made by mathematicians working in many different areas. The goal of thi ..."
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One of the main objectives of this workshop was to present a state of the art of current research on nonlocal operators. Over the last few years, there has been a lot of interests for such operators, and much progress have been made by mathematicians working in many different areas. The goal
Nonlocal Dielectric Response
, 2000
"... The problem of the ground state of hydrated electron is revisited with a focus on the effects due to nonlocal dielectric response of water. The standard variational analysis is performed. It takes into account – in addition to nonlocal polarization of nuclear modes – the electron repulsion from the ..."
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The problem of the ground state of hydrated electron is revisited with a focus on the effects due to nonlocal dielectric response of water. The standard variational analysis is performed. It takes into account – in addition to nonlocal polarization of nuclear modes – the electron repulsion from
Nonlocality: what are the odds?
, 2004
"... As part of a challenge to critics of Bell’s analysis of the EPR argument, framed in the form of a bet, R. D. Gill formulated criteria to assure that all nonlocality is precluded from simulationalgorithms used to test Bell’s theorem. This is achieved in part by parceling out the subroutines for the ..."
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As part of a challenge to critics of Bell’s analysis of the EPR argument, framed in the form of a bet, R. D. Gill formulated criteria to assure that all nonlocality is precluded from simulationalgorithms used to test Bell’s theorem. This is achieved in part by parceling out the subroutines
NonLocal Modification of Gravity and the
, 2002
"... We propose a phenomenological approach to the cosmological constant problem based on generally covariant nonlocal and acausal modifications of fourdimensional gravity at enormous distances. The effective Newton constant becomes very small at large length scales, so that sources with immense wavele ..."
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We propose a phenomenological approach to the cosmological constant problem based on generally covariant nonlocal and acausal modifications of fourdimensional gravity at enormous distances. The effective Newton constant becomes very small at large length scales, so that sources with immense
Nonlocal Evolutionary Adaptation in
"... Abstract — A simulated model of plant growth and evolution was studied. Plants start out as seeds on a 2dimensional grid. Plant genomes are modeled as instructions telling a plant where to grow and where to place seeds. Energy is gained by occupying grid space in analogy to collection of light by l ..."
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exclusion, in which grid space is a limited resource. This paper tested the hypothesis that the evolved plants would display nonlocal adaptation, i.e. that the plants would not only adapt to their local environment, but would acquire general skill that would enable them to grow competitively against plants
Results 11  20
of
1,714,431