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New Formulas of Feedback Capacity for AGN Channels with Memory: A Time-Domain Sufficient Statistic Approach. [PDF]
Entropy (Basel)Charalambous CD +2 more
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Quantum circuit simulation with a local time-dependent variational principle
Eisert J +8 more
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Asymptotically lacunary I2-invariant equivalence [PDF]
Journal of Intelligent and Fuzzy Systems, 2019 In this paper, the concept of asymptotically lacunary I 2 -invariant equivalence, the concepts of asymptotically lacunary σ 2 -equivalence and the concept of ...
Uğur Ulusu, Erdinç Dündar
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The American Mathematical Monthly, 2005
Since (x, y, z) is integral, the claim follows. (b) The formulas given for x, y, and z in terms of a, ,8, s, and t give valid points in N(a, b, c) also when s + t is even or gcd(s, t) > 1. (c) Let g(x) = (a/x)2 + (b/(c x))2. Since g is convex on (0, c), the equation g(x) = 1 has zero, one, or two solutions, depending on the minimum of g(x) over (0, c).
Slavko Simic, John H. Lindsey
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Since (x, y, z) is integral, the claim follows. (b) The formulas given for x, y, and z in terms of a, ,8, s, and t give valid points in N(a, b, c) also when s + t is even or gcd(s, t) > 1. (c) Let g(x) = (a/x)2 + (b/(c x))2. Since g is convex on (0, c), the equation g(x) = 1 has zero, one, or two solutions, depending on the minimum of g(x) over (0, c).
Slavko Simic, John H. Lindsey
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Asymptotically unitary equivalence and asymptotically inner automorphisms [PDF]
American Journal of Mathematics, 2009 Let $C$ be a unital AH-algebra and let $A$ be a unital separable simple $C^*$-algebra with tracial rank zero. Suppose that $\phi_1, \phi_2\colon \ C\to A$ are two unital monomorphisms. We show that there is a continuous path of unitaries $\{u_t\colon \ t\in [0, \infty)\}$ of $A$ such that $$ \lim_{t\to\infty}u_t^*\phi_1(a)u_t=\phi_2(a)\quad\hbox{\rm ...
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Asymptotic Revenue Equivalence in Auctions
Journal of Economic Theory, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bali, Valentina, Jackson, Matthew
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Asymptotically Equivalent Singular Perturbation Problems
Studies in Applied Mathematics, 1976A study is made of a two‐point nonlinear boundary‐value problem with a small parameter multiplying the highest derivative. It is shown that under certain circumstances the asymptotic solution to the problem is expressible in terms of the solution to a linear boundary‐value problem—in which case the two problems are said to be asymptotically equivalent.
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Asymptotic Unitary Equivalence in KK-Theory
K-Theory, 2001We cite from the introduction: ``The versatility of KK-theory is due to some extent to the remarkable fact that all ``reasonable'' equivalence relations on the set of Kasparov-bimodules over a pair of (separable) \(C^*\)-algebras, ranging from homotopy to cobordism, prove to be the same.
Dadarlat, Marius, Eilers, Søren
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Asymptotic Equivalence of Seat Bias Models
Statistical Papers, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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