Results 21 to 30 of about 10,784,145 (367)
Nonlinear inviscid damping near monotonic shear flows [PDF]
Acta Mathematica, 2020 We prove nonlinear asymptotic stability of a large class of monotonic shear flows among solutions of the 2D Euler equations in the channel $\mathbb{T}\times[0,1]$. More precisely, we consider shear flows $(b(y),0)$ given by a function $b$ which is Gevrey
A. Ionescu, H. Jia
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Quantum monotone metrics induced from trace non-increasing maps and additive noise [PDF]
Journal of Mathematical Physics 61, 052202 (2020), 2020 Quantum monotone metric was introduced by Petz,and it was proved that quantum monotone metrics on the set of quantum states with trace one were characterized by operator monotone functions. Later, these were extended to monotone metrics on the set of positive operators whose traces are not always one based on completely positive, trace preserving (CPTP)
arxiv +1 more source
Completely Monotonic Gamma Ratio and Infinitely Divisible H-Function of Fox [PDF]
, 2015 We investigate conditions for logarithmic complete monotonicity of a quotient of two products of gamma functions, where the argument of each gamma function has a different scaling factor.
D. Karp, E. Prilepkina
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Complete monotonicity involving some ratios of gamma functions
Journal of Inequalities and Applications, 2017 In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic.
Zhen-Hang Yang, Shen-Zhou Zheng
doaj +1 more source
Orthosymmetrical monotone functions [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2007 A straightforward generalization of the classical inverse of a real function based on reflections leads to several insuperable difficulties. We introduce a new type of inverse w.r.t. monotone bijections $\phi$ that is determined by the direction of the base vectors of the real Euclidean plane.
Maes, K. C., De Baets, B.
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On the monotonicity of Hilbert functions [PDF]
Rendiconti del Seminario Matematico della Università di Padova, 2018 In this paper we show that a large class of one-dimensional Cohen–Macaulay local rings (\mathcal A,\mathfrak m) has the property that if M is a maximal Cohen–Macaulay A -module ...
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A completely monotonic function involving the tri- and tetra-gamma functions [PDF]
, 2010 The di-gamma function ψ(x) is defined on (0,∞) by $\psi (x) = \frac{{\Gamma '(x)}} {{\Gamma (x)}} $ and ψ(i)(x) for i ∈ ℕ denote the polygamma functions, where Γ(x) is the classical Euler’s gamma function. In this paper we prove that a function involving
Bai-Ni Guo (郭白妮) +2 more
semanticscholar +1 more source
On monotonic bijections on subgroups of R
Applied General Topology, 2016 We show that for any continuous monotonic bijection $f$ on a $\sigma$-compact subgroup $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$ is a topological group topologically isomorphic to $\langle G, +\rangle$
Raushan Buzyakova
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A Note on Superspirals of Confluent Type
Mathematics, 2020 Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function.
Jun-ichi Inoguchi +2 more
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On the monotonicity of the broadcast function
Discrete Mathematics, 2003 AbstractThe broadcast function, B(n), is the minimum number of edges in any graph on n vertices such that each vertex can broadcast in time ⌈logn⌉. It is a long-standing conjecture that B(n) is non-decreasing for n in the range 2m−1+1⩽n⩽2m. We show that the conjecture holds for n in the range 2m−1+1⩽n⩽2m−1+2m−3.
Hovhannes A. Harutyunyan +1 more
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