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Bounds on Fluctuations of First Passage Times for Counting Observables in Classical and Quantum Markov Processes. [PDF]
J Stat PhysBakewell-Smith G +3 more
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A Multi-Source Circular Geodesic Voting Model for Image Segmentation. [PDF]
Entropy (Basel)Zhou S, Shu M, Di C.
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Minimum Energy Conical Intersection Optimization Using DFT/MRCI(2). [PDF]
J Chem Theory ComputWang TY, Neville SP, Schuurman MS.
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Separation of Convex Sets and Best Approximation in Spaces with Asymmetric Norm
Quaestiones Mathematicae, 2004No Abstract. Quaestiones Mathematicae Vol.
Stefan Cobzas
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The Banach--Mazur Theorem for Spaces with Asymmetric Norm
Mathematical Notes, 2001We establish an analog of the Banach—Mazur theorem for real separable linear spaces with asymmetric norm: every such space can be linearly and isometrically embedded in the space of continuous functions f on the interval [0,1] equipped with the asymmetric norm $$||f|$$
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Multidimensional inequalities between distinct metrics in spaces with an asymmetric norm
Sbornik: Mathematics, 1998For \(T^d\) the \(d\)-dimensional torus, \(L_{p,q}(T^d)\) is the space of functions \(f\) on \(T^d\) with \(f^+\in L_p(T^d)\), \(f^-\in L_q(T^d)\) and the norm \(\| f\|_{p,q}=\| f^+\|_p +\| f^-\|_q\). The trigonometric polynomial \(T_n\) of degree \(n_j\) in \(x_j\) satisfies the Jackson-Nikolskij type inequality \[ \| T_n\|_{q_1,q_2}\leq C_ ...
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Izvestiya: Mathematics, 1998
For \(p_1, p_2\in [1, \infty] \) the asymmetric norm of a real-valued measurable function \(f\) on \([-\pi, \pi]\) is defined by \(\|f \|_{p_1,p_2}=\|f^{+}\|_{p_1} + \|f^{-}\|_{p_2}\), where \(f^{+}(t)=\max \{0; f(t)\}\) and \(f^{-}(t)=\max \{0; -f(t)\}\).
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For \(p_1, p_2\in [1, \infty] \) the asymmetric norm of a real-valued measurable function \(f\) on \([-\pi, \pi]\) is defined by \(\|f \|_{p_1,p_2}=\|f^{+}\|_{p_1} + \|f^{-}\|_{p_2}\), where \(f^{+}(t)=\max \{0; f(t)\}\) and \(f^{-}(t)=\max \{0; -f(t)\}\).
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Izvestiya: Mathematics, 2002
Let \(\mathbb{T}\) be the one dimensional torus represented by the interval \([-\pi,\pi]\) with the end points \(-\pi\) and \(\pi\) identified. For \(\mathbf{p}=(p_1,p_2)\) (\(1\leq p_1,p_2\leq +\infty\)), \(\mathbf{\rho}=(\rho_+,\rho_-)\) (a pair of nonnegative functions which may assume infinite values) and \(\psi(u,v)\) (an arbitrary asymmetric and ...
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Let \(\mathbb{T}\) be the one dimensional torus represented by the interval \([-\pi,\pi]\) with the end points \(-\pi\) and \(\pi\) identified. For \(\mathbf{p}=(p_1,p_2)\) (\(1\leq p_1,p_2\leq +\infty\)), \(\mathbf{\rho}=(\rho_+,\rho_-)\) (a pair of nonnegative functions which may assume infinite values) and \(\psi(u,v)\) (an arbitrary asymmetric and ...
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