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Polynomial ergodicity of Markov transition kernels
Stochastic Processes and their Applications, 2003 Let \(\varPhi \) be a time-homogeneous Markov chain on a countably generated measure space \((X,\mathfrak B)\) with a \(\varphi \)-irreducible and aperiodic transition kernel \(P\). Let \(f\geq 1\) be a measurable function on \(X\) and \(r=(r(n))_ {n\geq 1}\) a polynomial sequence, that is, \(\liminf r(n)(n+1)^ {-\beta }>0\), \(\limsup r(n)(n+1 ...
Fort, G., Moulines, E.
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Optimal measures and Markov transition kernels [PDF]
Journal of Global Optimization, 2012 We study optimal solutions to an abstract optimization problem for measures, which is a generalization of classical variational problems in information theory and statistical physics. In the classical problems, information and relative entropy are defined using the Kullback-Leibler divergence, and for this reason optimal measures belong to a one ...
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Should I stay or should I go? A habitat-dependent dispersal kernel improves prediction of movement. [PDF]
PLoS ONE, 2011 The analysis of animal movement within different landscapes may increase our understanding of how landscape features affect the perceptual range of animals.
Fabrice Vinatier +5 more
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Evolution and prediction of land use around metro stations
Frontiers in Environmental Science, 2023 Metro stations are considered high-quality resources for promoting urban development, which have great influences on the surrounding land use changes. The simulation and prediction of land use change can provide a scientific basis for urban land planning.
Fei Fu +6 more
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Quantitative Approximation of the Probability Distribution of a Markov Process by Formal Abstractions [PDF]
Logical Methods in Computer Science, 2015 The goal of this work is to formally abstract a Markov process evolving in discrete time over a general state space as a finite-state Markov chain, with the objective of precisely approximating its state probability distribution in time, which allows for
Sadegh Esmaeil Zadeh Soudjani +1 more
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Accelerated training of max-margin Markov networks with kernels [PDF]
Theoretical Computer Science, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinhua Zhang +2 more
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Maximum asymmetry of copulas revisited
Dependence Modeling, 2018 Motivated by the nice characterization of copulas A for which d∞(A, At) is maximal as established independently by Nelsen [11] and Klement & Mesiar [7], we study maximum asymmetry with respect to the conditioning-based metric D1 going back to Trutschnig [
Kamnitui Noppadon +2 more
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How Quantum Evolution with Memory is Generated in a Time-Local Way
Physical Review X, 2021 Two widely used but distinct approaches to the dynamics of open quantum systems are the Nakajima-Zwanzig and time-convolutionless quantum master equation, respectively.
K. Nestmann, V. Bruch, M. R. Wegewijs
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Agriculture, 2021 Based on the grain production data of the counties (cities, districts) in Poyang Lake Basin, this paper uses the productivity index of Epsilon Based Measure of Malmquist Luenberger (EBM-ML Index) to analyse the green total factor productivity (GTFP) of ...
Bingfei Bao +4 more
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Duality and intertwining for discrete Markov kernels: relations and examples [PDF]
Advances in Applied Probability, 2011 We supply some relations that establish intertwining from duality and give a probabilistic interpretation. This is carried out in the context of discrete Markov chains, fixing up the background of previous relations established for monotone chains and their Siegmund duals. We revisit the duality for birth-and-death chains and the nonneutral Moran model,
Huillet, Thierry, Martinez, Servet
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