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This paper is devoted to diffusion limits of linear Boltzmann equations. When the equilibrium distribution function is a Maxwellian distribution, it is well known that for an appropriate time scale, t...
Fractional Analytic Index     Fractional  Analytic Index       2015/3/19
Fractional Analytic Index.
In this paper we consider critical points of the following nonlocal energy Ln(u) = Z IRn |(−)n/4u(x)|2dx , (1) where u: Hn/2(IRn) → N N ⊂ IRm is a compact k dimensional smooth manifold w...
We examine LDPC codes decoded using linear programming (LP). Four contributions to the LP framework are presented. First, a new method of tightening the LP relaxation,and thus improving the LP decoder...
We establish a Feynman-Kac-type formula to define fractional Schr\"odinger operators for fractional Kato-decomposable potentials as self-adjoint operators. In this functional integral representation ...
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations. A time-f...
In this article, the so-called "Nyström method" is tested to compute optimal quantizers of Gaussian processes. In particular, we derive the optimal quantization of the fractional Brownian motion ...
A Berezin-Li-Yau type inequality for (−) /2|, the fractional Laplacian op-erators restriced to a bounded domain ⊂ Rd for ∈ (0, 2], d ≥ 2, has not been known so far. First we positivel...
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. ...
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator to...
Let $B^\a = \{B^{\alpha}(t), t \in {\mathbb R}^N\}$ be an $(N,d)$-fractional Brownian motion with Hurst index ${\alpha} \in (0,1)$. By applying the strong local nondeterminism of $B^{\alpha}$, we prov...
In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter. The inverse spectral problem consisting of the recovering of the oper...

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