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A DECOMPOSITION ALGORITHM FOR TWO-STAGE STOCHASTIC PROGRAMS WITH NONCONVEX RECOURSE FUNCTIONS. [PDF]
SIAM J OptimLi H, Cui Y.
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Effective Behaviour of Critical-Contrast PDEs: Micro-Resonances, Frequency Conversion, and Time Dispersive Properties. II. [PDF]
Commun Math PhysCherednichenko K +3 more
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Importance sampling for stochastic reaction-diffusion equations in the moderate deviation regime. [PDF]
Stoch Partial Differ EquGasteratos I, Salins M, Spiliopoulos K.
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On the Converse of Pansu's Theorem. [PDF]
Arch Ration Mech AnalDe Philippis G +4 more
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Mathematical Notes of the Academy of Sciences of the USSR, 1977
It is proved that the following conditions are equivalent: the function ϕ [a, b]→R is absolutely upper semicontinuous (see [1]); ϕ is a function of bounded variation with decreasing singular part; there exists a summable function g: [a, b] → R such that for anyt′∈[a, b] andt″∈[t′, b], we have ϕ(t″)−ϕ(t′)⩽∫ t′ t″ g (s) ds.
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It is proved that the following conditions are equivalent: the function ϕ [a, b]→R is absolutely upper semicontinuous (see [1]); ϕ is a function of bounded variation with decreasing singular part; there exists a summable function g: [a, b] → R such that for anyt′∈[a, b] andt″∈[t′, b], we have ϕ(t″)−ϕ(t′)⩽∫ t′ t″ g (s) ds.
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Upper semicontinuous representations of interval orders
Mathematical Social Sciences, 2014Given an interval order on a topological space, we characterize its representability by means of a pair of upper semicontinuous real-valued functions. This characterization is only based on separability and continuity conditions related to both the interval order and one of its two traces.
BOSI, GIANNI, Zuanon M.
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