Results 41 to 50 of about 63,918 (154)

A parametrix for quantum gravity?

open access: yes, 2016
In the sixties, DeWitt discovered that the advanced and retarded Green functions of the wave operator on metric perturbations in the de Donder gauge make it possible to define classical Poisson brackets on the space of functionals that are invariant ...
Esposito, Giampiero
core   +1 more source

Blow Up for the Semilinear Wave Equation in Schwarzschild Metric

open access: yes, 2004
We study the semilinear wave equation in Schwarzschild metric (3+1 dimensional space--time). First, we establish that the problem is locally well--posed in $\cs H^\sigma$ for any $\sigma \geq 1$; then we prove the blow up of the solution for every real ...
Catania, Davide, Georgiev, Vladimir
core   +1 more source

Comonotonic Book-Making with Nonadditive Probabilities [PDF]

open access: yes
This paper shows how de Finetti's book-making principle, commonly used to justify additive subjective probabilities, can be modi-ed to agree with some nonexpected utility models.More precisely, a new foundation of the rank-dependent models is presented ...
Diecidue, E., Wakker, P.P.
core   +1 more source

Two laws of large numbers for sublinear expectations

open access: yes, 2015
In this paper, we consider the sublinear expectation on bounded random vari- ables. With the notion of uncorrelatedness for random variables under the sublinear expectation, a weak law of large numbers is obtained.
Sun, Chuanfeng
core  

Risk measurement with the equivalent utility principles. [PDF]

open access: yes
Risk measures have been studied for several decades in the actuarial literature, where they appeared under the guise of premium calculation principles. Risk measures and properties that risk measures should satisfy have recently received considerable at-
Denuit, M   +4 more
core  

Learning nonlinear monotone classifiers using the Choquet Integral

open access: yes, 2014
The learning of predictive models that guarantee a monotonic relationship between the output (response) and input (predictor) variables has received increasing attention in machine learning in recent years. While being less problematic for linear models, the difficulty of ensuring monotonicity increases with the ...
openaire   +2 more sources

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