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On zero-sum $\mathbb{Z}_{2j}^k$-magic graphs
Let $G = (V,E)$ be a finite graph and let $(\mathbb{A},+)$ be an abelian group with identity 0. Then $G$ is \textit{$\mathbb{A}$-magic} if and only if there exists a function $\phi$ from $E$ into $\mathbb{A} - \{0\}$ such that f ... Read More >
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Numerical Solution of the Neural Field Equation in the Two-dimensional Case
We are concerned with the numerical solution of a class integro-differential equations, known as Neural Field Equations, which describe the large-scale dynamics of spatially structured networks of neurons. These equations have m ... Read More >
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Numerical Methods for the Inverse Nonlinear Fourier Transform
We introduce a new numerical method for the computation of the inverse nonlinear Fourier transform and compare its computational complexity and accuracy to those of other methods available in the literature. For a given accuracy ... Read More >
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Convolution of probability measures on Lie groups and homogenous spaces
We study (weakly) continuous convolution semigroups of probability measures on a Lie group G or a homogeneous space G/K, where K is a compact subgroup. We show that such a convolution semigroup is the convolution product of its ... Read More >
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Hadamard gap series in weighted-type spaces on the unit ball
We give a sufficient and necessary condition for an analytic function $f(z)$ on the unit ball $\BB$ in $\CC^n$ with Hadamard gaps, that is, for $f(z)=\sum_{k=1}^\infty P_{n_k}(z)$ where $P_{n_k}(z)$ is a homogeneous polynomial o ... Read More >
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Entropy rigidity of Hilbert and Riemannian metrics
In this paper we provide two new characterizations of real hyperbolic $n$-space using the Poincar\'e exponent of a discrete group and the volume growth entropy. The first characterization is in the space of Hilbert metrics and g ... Read More >
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Fekete-Szegö problem and Second Hankel Determinant for a class of bi-univalent ...
In this sequel to the recent work (see Azizi et al., 2015), we investigate a subclass of analytic and bi-univalent functions in the open unit disk. We obtain bounds for initial coefficients, the Fekete-Szeg\"o inequality and the ... Read More >
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Equiaffine Darboux Frames for Codimension 2 Submanifolds contained in Hypersurfa ...
Consider a codimension $1$ submanifold $N^n\subset M^{n+1}$, where $M^{n+1}\subset\mathbb{R}^{n+2}$ is a hypersurface. The envelope of tangent spaces of $M$ along $N$ generalizes the concept of tangent developable surface of a s ... Read More >
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Tight chiral polyhedra
A chiral polyhedron with Schl\"afli symbol $\{p, q\}$ is called tight if it has $2pq$ flags, which is the minimum possible. In this paper, we fully characterize the Schl\"afli symbols of tight chiral polyhedra. We also provide p ... Read More >
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Redundancy of Fusion frames in Hilbert Spaces
Upon improving and extending the concept of redundancy of frames, we introduce the notion of redundancy of fusion frames, which is concerned with the properties of lower and upper redundancies. These properties are achieved by c ... Read More >