Titlebook: Harmonic Analysis and Discrete Potential Theory; Massimo A. Picardello Book 1992 Springer Science+Business Media New York 1992 Maxima.Pois

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,Measure-Theoretic Boundaries of Markov Chains, 0–2 Laws and Entropy,it follows from its very name). Given a . on a state space . one can easily define . as invariant functions of the operator ., but in order to speak about their boundary values one needs a boundary, because no boundary is normally attached to the state space of a Markov chain (as distinct from bound

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Potential Theory on Non-Unimodular Groups,er then . and .. = e. which is a convolution semigroup since it commutes with the left action of .. It follows that if we denote by ... the left Haar measure of ., we have ., cf. [1]. The behaviour of .. as . when . is unimodular, i.e. when ... = . (= the right Haar measure up to multiplicative cons

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Harmonic Analysis of Random Walks on the Daisy Library Graph,stance. One wants to study the canonical random walk on ., in which a particle starts from a given vertex .. ∈ . at . = 0 and then jumps from any vertex . to any of its .. nearest neighbours with uniform probability (..)..

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model of civil violence by including the mechanisms of “massive fear loss” (generalized vanishing of the risk perception), value-sensitive relative deprivation, legitimacy feedback, and network influences. The results of the computer simulations were discussed using analyses of conflict events in e

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Andrzej Hulanickicreasing complexity of the current waste management systems makes the optimization of the waste management strategies and policies challenging. For this reason, waste prevention is the most desirable goal to achieve. Despite this, low levels of household recycling represent the key factor that compl

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Martine Babillotarket participants can purchase and sell electrical energy through centralized markets and bilateral contracts. The revenue and cost certainty associated with bilateral contracts presents a number of benefits to producers and consumers, notably price stability and mitigation of market power. An agen

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