Andere Kunden interessierten sich auch für
![Young Measures and Compactness in Measure Spaces]( "Young Measures and Compactness in Measure Spaces")
Young Measures and Compactness in Measure Spaces145,99 €![Potential Theory and Right Processes]( "Potential Theory and Right Processes")
Potential Theory and Right Processes37,99 €![Potential Theory and Right Processes]( "Potential Theory and Right Processes")
Potential Theory and Right Processes61,99 €![Multifrequency Oscillations of Nonlinear Systems]( "Multifrequency Oscillations of Nonlinear Systems")
Multifrequency Oscillations of Nonlinear Systems83,99 €![Discrete Spectral Synthesis and Its Applications]( "Discrete Spectral Synthesis and Its Applications")
Discrete Spectral Synthesis and Its Applications61,99 €![An Introduction to Minimax Theorems and Their Applications to Differential Equations]( "An Introduction to Minimax Theorems and Their Applications to Differential Equations")
An Introduction to Minimax Theorems and Their Applications to Differential Equations74,99 €![Kolmogorov Operators in Spaces of Continuous Functions and Equations for Measures]( "Kolmogorov Operators in Spaces of Continuous Functions and Equations for Measures")
Kolmogorov Operators in Spaces of Continuous Functions and Equations for Measures28,99 €
Classicalexamples of moreand more oscillatingreal valued functions on a domain N ?of R are the functions u (x)=sin(nx)with x=(x ,...,x ) or the so-called n 1 1 n n+1 Rademacherfunctionson]0,1[,u (x)=r (x) = sgn(sin(2 ?x))(seelater3.1.4). n n They may appear as the gradients?v of minimizing sequences (v ) in some n n n?N variationalproblems. Intheseexamples,thefunctionu convergesinsomesenseto n ameasure µ on ? ×R, called Young measure. In Functional Analysis formulation, this is the narrow convergence to µ of the image of the Lebesgue measure on ? by ? ? (?,u (?)). In the disintegrated form (µ ) ,the parametrized measure µ n ? ??? ? captures the possible scattering of the u around ?. n Curiously if (X ) is a sequence of random variables deriving from indep- n n?N dent ones, the n-th one may appear more and more far from the k ?rst ones as 2 if it was oscillating (think of orthonormal vectors in L which converge weakly to 0). More precisely when the laws L(X ) narrowly converge to some probability n measure , it often happens that for any k and any A in the algebra generated by X ,...,X , the conditional law L(X A) still converges to (see Chapter 9) 1 k n which means 1 ??? C (R) ?(X (?))dP(?)?? ?d b n P(A) A R or equivalently, ? denoting the image of P by ? ? (?,X (?)), n X n (1l ??)d? ?? (1l ??)d[P? ].
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
From the reviews: "This book presents a wealth of results on Young measures on topological spaces in a very general framework. It is very likely that it will become the reference and starting point for any further developments in the field." (Georg K. Dolzmann, Mathematical Reviews, 2005k)