Results 111 to 120 of about 4,999,006 (239)
Quantum renormalization group approach to geometric phases in spin chains
, 2013 A relation between geometric phases and criticality of spin chains are studied by using the quantum renormalization-group approach. We have shown how the geometric phase evolve as the size of the system becomes large, i.e., the finite size scaling is ...
Aharonov +37 more
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On a p-Laplacian system with critical Hardy–Sobolev exponents and critical Sobolev exponents [PDF]
Ukrainian Mathematical Journal, 2012 We consider a quasilinear elliptic system involving the critical Hardy–Sobolev exponent and the Sobolev exponent. We use variational methods and analytic techniques to establish the existence of positive solutions of the system.
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One-arm exponent for critical 2D percolation [PDF]
, 2001 The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than $R$ is proved to decay like $R^{-5/48}$ as $R\to\infty$
Lawler, Gregory F. +2 more
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On the critical exponent of transversal matroids
Journal of Combinatorial Theory, Series B, 1984 AbstractIt is shown that loopless transveral matroids have critical exponent at most 2.
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, 1993 We study the random walk representation of the two-point function in statistical mechanics models near the critical point. Using standard scaling arguments we show that the critical exponent $\nu$ describing the vanishing of the physical mass at the ...
C. Itzykson +4 more
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Critical Exponents of the Riesz Projection
Computational Methods and Function TheoryLet $\mathfrak{p}_d(q)$ denote the critical exponent of the Riesz projection from $L^q(\mathbb{T}^d)$ to the Hardy space $H^p(\mathbb{T}^d)$, where $\mathbb{T}$ is the unit circle. We present the state-of-the-art on the conjecture that $\mathfrak{p}_1(q) = 4(1-1/q)$ for $1 \leq q \leq \infty$ and prove that it holds in the endpoint case $q = 1$.
Brevig, Ole Fredrik +2 more
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Critical exponents: old and new
The Electronic Journal of Linear Algebra, 2012 For Hadamard and conventional powering, we survey past and current work on the existence and values of critical exponents (CEs) for such matrix classes as doubly nonnegative, totally positive, M- and inverse M-matrices. There are remarkable similarities and differences between Hadamard and conventional CEs for the various classes. real t if appropriate)
Charles Johnson, Olivia Walch
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Critical exponents of the statistical multifragmentation model
Physics Letters B, 2001 For the statistical multifragmentation model the critical indices $ ^\prime, , ^\prime, $ are calculated as functions of the Fisher parameter $ $. It is found that these indices have different values than in Fisher's droplet model. Some peculiarities of the scaling relations are discussed.
Reuter, Philipp Tim, Bugaev, Kyrill A.
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Geometrical interpretation of critical exponents
Physical Review EWe develop the hypothesis that the dynamics of a given system may lead to the activity being constricted to a subset of space, characterized by a fractal dimension smaller than the space dimension. We also address how the response function might be sensitive to this change in dimensionality.
Henrique A. Lima +4 more
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The critical exponent for fast diffusion equation with nonlocal source
Boundary Value Problems, 2019 This paper considers the Cauchy problem for fast diffusion equation with nonlocal source ut=Δum+(∫Rnuq(x,t)dx)p−1qur+1 $u_{t}=\Delta u^{m}+ (\int_{\mathbb{R}^{n}}u^{q}(x,t)\,dx )^{\frac{p-1}{q}}u^{r+1}$, which was raised in [Galaktionov et al.
Chunxiao Yang +3 more
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