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Quantum renewal processes [PDF]
AbstractWe introduce a general construction of master equations with memory kernel whose solutions are given by completely positive trace-preserving maps. These dynamics going beyond the Lindblad paradigm are obtained with reference to classical renewal processes, so that they are termed quantum renewal processes.
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Load-Aware Channel Allocation for IEEE 802.11ah-Based Networks
Most wireless communication technologies for Internet of Things (IoT) applications face the bottleneck of dense and large-scale use cases. One solution to this problem is a periodic channel reservation strategy, in which only a small group of stations ...
Hamid Taramit +4 more
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Learning the spatial organization of the environment is essential for most animals’ survival. This requires the animal to derive allocentric spatial information from egocentric sensory and motor experience.
Avner Wallach +4 more
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On the Fractional Poisson Process and the Discretized Stable Subordinator
We consider the renewal counting number process N = N(t) as a forward march over the non-negative integers with independent identically distributed waiting times.
Rudolf Gorenflo, Francesco Mainardi
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Large Deviations for Continuous Time Random Walks
Recently observation of random walks in complex environments like the cell and other glassy systems revealed that the spreading of particles, at its tails, follows a spatial exponential decay instead of the canonical Gaussian.
Wanli Wang, Eli Barkai, Stanislav Burov
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On occupation time for on-off processes with multiple off-states
The need to model a Markov renewal on-off process with multiple off-states arise in many applications such as economics, physics, and engineering. Characterization of the occupation time of one specific off-state marginally or two off-states jointly is ...
Chaoran Hu, Vladimir Pozdnyakov, Jun Yan
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The renewal equation in nonlinear approximation
The family of Markov processes are considered in the article. We study the multidimensional renewal equation in nonlinear approximation. The purpose of the work is to find the limit of renewal function.
O.A. Yarova, Ya.I. Yeleyko
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Mean time to recruitment for three grades with two sources of depletion
In any organization when the policy decisions related to emoluments, benefits and objectives are announced then the exit of personnel is occurred. When the exit of personnel occurs, time overwhelming and expense happened for the recruitment , so that ...
T. Rojamary, K. P. Uma, K. Anuradha
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Moments of Compound Renewal Sums with Dependent Risks Using Mixing Exponential Models
In this paper, we study the discounted renewal aggregate claims with a full dependence structure. Based on a mixing exponential model, the dependence among the inter-claim times, the claim sizes, as well as the dependence between the inter-claim times ...
Fouad Marri +2 more
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A Renewal Shot Noise Process with Subexponential Shot Marks
We investigate a shot noise process with subexponential shot marks occurring at renewal epochs. Our main result is a precise asymptotic formula for its tail probability.
Yiqing Chen
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