Results 41 to 50 of about 166,082,168 (134)
Conditioning an additive functional of a markov chain to stay non-negative. I, Survival for a long time [PDF]
, 2005 Let (X-t)(t >= 0) be a continuous-time irreducible Markov chain on a finite state space E, let v be a map v: E -> R \ {0}, and let (phi(t))(t >= 0) be an additive functional defined by phi(t) = integral(0)(t)(X-s) ds.
Warren, Jon +2 more
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On Value Distribution of One Epstein Zeta-Function
MathematicsThe paper is devoted to Epstein zeta-function ζ3(s), s=σ+it, of a quadratic form of three variables. We obtain a probabilistic characterization of the function ζ3(s) in terms of weak convergence of probability measures in the space of analytic functions ...
Kalyan Chakraborty, Antanas Laurinčikas
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Joint Discrete Approximation by Shifts of Hurwitz Zeta-Function: The Case of Short Intervals
MathematicsSince 1975, it has been known that the Hurwitz zeta-function has a unique property to approximate by its shifts all analytic functions defined in the strip D={s=σ+it:1 ...
Antanas Laurinčikas +1 more
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WEAK CONVERGENCE OF PROBABILITY MEASURES ALONG PROJECTIVE SYSTEMS
Demonstratio Mathematica, 1993 The author generalizes the notion of weak convergence of probability measures to the case when each measure \(\mu_ \alpha\) of a net \(\{\mu_ \alpha\}\) of probability measures is defined on the Borel \(\sigma\)- algebra of a metrizable topological space \(\Omega_ \alpha\) and the system \(\{\Omega_ \alpha\}\) forms a projective system of topological ...
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Joint approximation of analytic functions by the shifts of Hurwitz zeta-functions in short intervals
Open MathematicsIn the article, we obtain that, for algebraically independent over Q{\mathbb{Q}} parameters α1,…,αr{\alpha }_{1},\ldots ,{\alpha }_{r}, there are infinitely many shifts (ζ(s+iτ,α1),…,ζ(s+iτ,αr))\left(\zeta \left(s+i\tau ,{\alpha }_{1}),\ldots ,\zeta ...
Laurinčikas Antanas +1 more
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Discrete Limit Bohr–Jessen Type Theorem for the Epstein Zeta-Function in Short Intervals
AxiomsWe prove a probabilistic limit theorem for the Epstein zeta-function ζ(s;Q) in the interval [N,N+M] as N→∞, using discrete shifts ζ(σ+ikh;Q), where h>0 and σ>n−12 are fixed. Here, Q is a positive-definite n×n matrix, and the interval length M satisfies h−
Antanas Laurinčikas, Renata Macaitienė
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BMC Medical Education, 2018 Background The recent introduction of the Professional Performance Framework by the Medical Board of Australia is intended to strengthen continuing professional development for the 100,000 or so medical practitioners in Australia.
Ajit Narayanan +2 more
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Equivalents of the Riemann hypothesis involving the Gram points
Mathematical Modelling and AnalysisThe Riemann hypothesis (RH) on zeros of the zeta-function $\zeta(s)$, $s=\sigma +it$, states that all zeros of $\zeta(s)$ in the strip $0< \sigma < 1$ lie on the line $\sigma =1/2$. Several equivalents of RH are known.
Julija Karaliūnaitė +1 more
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On Joint Approximation of Analytic Functions by Beurling Zeta-Functions
MathematicsFor j=1,…,r, let Pj be a system of generalized prime numbers, NPj the corresponding system of generalized integers, and ζPj(s), s=σ+it, the Beurling zeta-function. In the paper, we consider simultaneous approximation of a collection of analytic functions
Andrius Geštautas +2 more
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WEAK CONVERGENCE OF COMPOUND PROBABILITY MEASURES ON UNIFORM SPACES
Tamkang Journal of Mathematics, 1999 We obtain a convergence theorem of compound probability measures on a uniform space for a net of uniformly equicontinuous transition probabilities. This theorem contains convergence theorems of product or convolution measures.
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