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We consider the problem of minimizing a sum of non-convex functions over a compact domain, subject to linear inequality and equality constraints. We consider approximate solutions obtained by solving ...
In this paper we develop a bubble tree structure for a degenerating class of Riemannian metrics satisfying some global conformal bounds on compact manifolds of dimension 4. Applying the bubble tree st...
Let $ X_{\beta}$ be a sofic $ \beta $-shift for $ \beta \in (1,\,2] $?#128;Ž. ?#128;ŽWe show that there is an $ S $-gap shift $ X(S) $ such that $ X_{\beta} $ and $ X(S) $ are right-resolvin...
Abstract: I propose a notion of $(\omega_1,\beta)$-morass for the case $\omega_1 \leq \beta$.
Abstract: In a previous paper I proposed a notion of $(\omega_1,\beta)$-morasses for $\omega_1 \leq \beta$. In the present paper such morasses are constructed in an inner model which satisfies amenabi...
Let A+ denote the set of Laplace transforms of complex Borel measures μ on [0,+1) such that μ does not have a singular non-atomic part. In [1], an extension of the classical -metric of Vinnicombe was...
In this paper, we survey research that studies the connection between the computational complexity of optimization problems on the one hand, and the duality gap between the primal and dual optimizatio...
We consider the nonlinear Schr\"{o}dinger equation $(-\Delta +V(x))u = \Gamma(x) |u|^{p-1}u$, $x\in \R^n$ with $V(x) = V_1(x) \chi_{\{x_1>0\}}(x)+V_2(x) \chi_{\{x_1<0\}}(x)$ and $\Gamma(x) = \Gamma_1(...
We give sufficient conditions for a shift space $(\Sigma,\sigma)$ to be intrinsically ergodic, along with sufficient conditions for every subshift factor of $\Sigma$ to be intrinsically ergodic. As a...
We consider the one-dimensional totally asymmetric simple exclusion model (TASEP model) with open boundary conditions and present the analytical computations leading to the exact formula for distance...
We prove an optimal W(n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal multi-pass space lower...
In this work, we prove the absence of a spectral gap for the normalized Laplacian of the Erdos-Renyi random graph G(n; p) when p = d n for d > 1 as n ! 1. We also prove that for any positive  the Er...
The cognitive interference channel (C-IFC) consists of a classical two-user interference channel in which the message of one user (the “primary” user) is non-causally available at the transmitter of ...
We study two-dimensional (2D) matter-wave gap solitons trapped in an elliptically deformed concentric lattice potential, within the framework of the Gross-Pitaevskii equation (GPE) with self-attractio...
GAP 的意思是 Groups, Algorithms and Programming,即群,算法,程序设计。是一个计算离散代数系统,重点是计算群论。GAP提供一种程序设计语言,是一个用GAP语言开发的实现代数算法的功能库,同时也是包含代数项目的一个大型数据库图书馆。GAP被用在群及其表达式、环、向量空间、代数学、组合结构等方面的研究和教学上。而且这是一个开放和自由软件,你可以学会它,并轻松修改...

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