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Reliability-Aware VNF Provisioning in Homogeneous and Heterogeneous Multi-access Edge Computing
In the emerging network architecture of multi-access edge computing (MEC), virtualized network function (VNF) can be deployed to provide network...
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Spreading in Homogeneous and Shifting Environments
In this chapter, we discuss the Fisher–KPP model in R1. First, we introduce the notion of spreading speed, and establish the classical result for...
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A Geometrical Framework for Amplitude Recursions: Bridging Between Trees and Loops
Various methods for the recursive evaluation of scattering amplitudes in quantum field theory and string theory have been put forward during the last...
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A non-interactive (t, n)-publicly verifiable multi-secret sharing scheme
A non-interactive publicly verifiable multi secret sharing (PVMSS) scheme is a secret sharing scheme that the dealer shares multiple secrets among...
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Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment
Molecular reactions within a cell are inherently stochastic, and cells often differ in morphological properties or interact with a heterogeneous...
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Approximating the linear response of physical chaos
Parametric derivatives of statistics are highly desired quantities in prediction, design optimization and uncertainty quantification. In the presence...
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Hypergeometric structures in Feynman integrals
For the precision calculations in perturbative Quantum Chromodynamics (QCD) gigantic expressions (several GB in size) in terms of highly complicated...
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Quadratic ideals and Rogers–Ramanujan recursions
We give an explicit recursive description of the Hilbert series and Gröbner bases for the family of quadratic ideals defining the jet schemes of a...
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A two-step estimator for generalized linear models for longitudinal data with time-varying measurement error
We propose a novel approach for longitudinal data modeling within the Generalized Linear Models family, whenever a covariate of interest is affected...
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Generalisations of the Harer–Zagier recursion for 1-point functions
Harer and Zagier proved a recursion to enumerate gluings of a 2 d -gon that result in an orientable genus g surface, in their work on Euler...
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Natural Numbers, Mathematical Induction, Recursion
At the end of this chapter...
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Accelerating Bayesian inference for stochastic epidemic models using incidence data
We consider the case of performing Bayesian inference for stochastic epidemic compartment models, using incomplete time course data consisting of...
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Flexible Modelling of Diel and Other Periodic Variation in Hidden Markov Models
Animal behaviour is often characterised by periodic patterns such as seasonality or diel variation. Such periodic variation can be comprehensively...
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Elliptic classes of Schubert varieties
We introduce new notions in elliptic Schubert calculus: the (twisted) Borisov–Libgober classes of Schubert varieties in general homogeneous spaces G / P ...
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Iterative Methods for Systems of Linear Equations
We consider again the system of linear equations with nonsingular matrix $$A \in...
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Stochastic LQ Control with Extra Measurability Restriction
Different from the standard linear quadratic (LQ) problem for stochastic systems, the LQ problem considered in the paper has extra measurability...
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Recursion-free solution for two-loop vacuum integrals with “collinear” masses
We investigate the structure of a particular class of massive vacuum Feynman integrals at two loops. This class enjoys the linear relation m 1 + m 2 = m
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Extremal properties of evolving networks: local dependence and heavy tails
A network evolution with predicted tail and extremal indices of PageRank and the Max-Linear Model used as node influence indices in random graphs is...
