منابع مشابه
Invariance Principle on the Slice
The non-linear invariance principle of Mossel, O’Donnell and Oleszkiewicz establishes that if fpx1, . . . , xnq is a multilinear low-degree polynomial with low influences then the distribution of fpB1, . . . ,Bnq is close (in various senses) to the distribution of fpG1, . . . ,Gnq, where Bi PR t ́1, 1u are independent Bernoulli random variables and Gi „ Np0, 1q are independent standard Gaussians...
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Einstein equations for several matter sources in Robertson-Walker and Bianchi I type metrics, are shown to reduce to a kind of second order nonlinear ordinary differential equation ÿ + αf(y)ẏ + βf(y) ∫ f(y) dy + γf(y) = 0. Also, it appears in the generalized statistical mechanics for the most interesting value q = −1. The invariant form of this equation is imposed and the corresponding nonlocal...
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In this article, the rotational invariance of entangled quantum states is investigated as a possible cause of the Pauli exclusion principle. First, it is shown that a certain class of rotationally invariant states can only occur in pairs. This will be referred to as the coupling principle. This in turn suggests a natural classification of quantum systems into those containing coupled states and...
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We study a continuous time random walk X in an environment of i.i.d. random conductances μe ∈ [0,∞) in Zd. We assume that P(μe > 0) > pc, so that the bonds with strictly positive conductances percolate, but make no other assumptions on the law of the μe. We prove a quenched invariance principle for X, and obtain Green’s functions bounds and an elliptic Harnack inequality.
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Consider the most general 3 x 3 Majorana neutrino mass matrix M. Motivated by present neutrino-oscillation data, much theoretical effort is directed at reducing it to a specific texture in terms of a small number of parameters. This procedure is often ad hoc. I propose instead that for any M one may choose, it should satisfy the condition UMU(T)=M, where U not equal 1 is a specific unitary matr...
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ژورنال
عنوان ژورنال: Gravitation and Cosmology
سال: 2011
ISSN: 0202-2893,1995-0721
DOI: 10.1134/s0202289311030108