author = { Kritzer, Peter AND Niederreiter, Harald AND Pillichshammer, Friedrich AND Winterhof, Arne },

title = { Uniform Distribution and Quasi-Monte Carlo Methods Discrepancy, Integration and Applications },

publisher = {De Gruyter},

isbn = {9783110317947},

isbn = {9783110317930},

keywords = { Monte Carlo method , Uniform distribution (Probability theory) , Monte Carlo method. , Uniform distribution (Probability theory). , Gleichmäßige Verteilung. , Mathematik. , Monte-Carlo-Simulation. , Gleichmäßige Verteilung Quasi-Monte-Carlo-Methode , MATHEMATICS / Number Theory , Electronic books , Konferenzschrift , Konferenzschrift 2013 Linz , Gleichmäßige Verteilung , Monte-Carlo-Simulation },

year = {2014},

abstract = {Literaturangaben},

abstract = {Preface; Contents; Metric number theory, lacunary series and systems of dilated functions; 1 Uniform distribution modulo 1; 2 Metric number theory; 3 Discrepancy; 4 Lacunary series; 5 Almost everywhere convergence; 6 Sums involving greatest common divisors; Strong uniformity; 1 Introduction; 2 Superuniformity and super-duper uniformity; 2.1 Superuniformity of the typical billiard paths; 2.2 Super-duper uniformity of the 2-dimensional ray; 3 Superuniformmotions; 3.1 Billiards in other shapes; 3.2 Superuniformity of the geodesics on an equifacial tetrahedron surface},

abstract = {Discrepancy theory and harmonic analysis1 Introduction; 2 Exponential sums; 3 Fourier analysis methods; 3.1 Rotated rectangles; 3.2 The lower bound for circles; 3.3 Further remarks; 4 Dyadic harmonic analysis: discrepancy function estimates; 4.1 Lp -discrepancy, 1 < p < ∞ ; 4.2 The L∞discrepancy estimates; 4.3 The other endpoint, L1; Explicit constructions of point sets and sequences with low discrepancy; 1 Introduction; 2 Lower bounds; 3 Upper bounds; 4 Digital nets and sequences; 5 Walsh series expansion of the discrepancy function},

abstract = {6 The construction of finite point sets according to Chen and Skriganov7 The construction of infinite sequences according to Dick and Pillichshammer; 8 Extensions to the Lqdiscrepancy; 9 Extensions to Orlicz norms of the discrepancy function; Subsequences of automatic sequences and uniform distribution; 1 Introduction; 2 Automatic sequences; 3 Subsequences along the sequence nc; 4 Polynomial subsequences; 5 Subsequences along the primes; On Atanassov's methods for discrepancy bounds of low-discrepancy sequences; 1 Introduction; 2 Atanassov's methods for Halton sequences},

abstract = {2.1 Review of Halton sequences2.2 Review of previous bounds for the discrepancy of Halton sequences; 2.3 Atanassov's methods applied to Halton sequences; 2.4 Scrambling Halton sequences with matrices; 3 Atanassov's method for(t,s)-sequences ; 3.1 Review of (t,s)-sequences; 3.2 Review of bounds for the discrepancy of (t,s)-sequences; 3.3 Atanassov'smethod applied to (t,s)-sequences; 3.4 The special case of even bases for (t,s)-sequences; 4 Atanassov's methods for generalized Niederreiter sequences and (??, e, ??)- sequences; The hybrid spectral test: a unifying concept; 1 Introduction},

abstract = {2 Adding digit vectors3 Notation; 4 The hybrid spectral test; 5 Examples; 5.1 Example I: Integration lattices; 5.2 Example II: Extreme and star discrepancy; Tractability of multivariate analytic problems; 1 Introduction; 2 Tractability; 3 A weighted Korobov space of analytic functions; 4 Integration in H(Ks,a,b) ; 5 L2-approximation inH(Ks,a,b); 6 Conclusion and outlook; Discrepancy estimates for sequences: new results and open problems; 1 Introduction; 2 Metrical and average type discrepancy estimates for digital point sets and sequences and for good lattice point sets},

abstract = {3 Discrepancy estimates for and applications of hybrid sequences},

booktitle = {Radon Series on Computational and Applied Mathematics ; 15},

booktitle = {De Gruyter eBook-Paket Mathematik und Physik},

address = { Berlin [u.a.] },

url = { http://slubdd.de/katalog?TN_libero_mab2 }