Prof. Dr. Friedrich Götze

Contact-Details:

eMail: goetze@math.uni-bielefeld.de

Recent Preprints


06003	On the concentration of high dimensional matrices with randomly signed entries	PDF
06040	Effective measure estimates for sets of real numbers related to Mahler's classification	PDF
06041	Rate of Convergence to The Semicircle Law almost surely	PDF
06042	Limit correlation functions for fixed trace random matrix ensembles	PDF
06043	Limit correlation functions at zero for fixed trace random matrix ensembles	PDF
07016	On the Circular Law	PDF
07026	Limit theorems in free probability theory. II	PDF
07057	Bounds for the rate of strong approximation in the multidimensional invariance principle	PDF
07073	The Circular Law for Random Matrices	PDF
07076	Lower bounds for the number of integer polynomials with given order of discriminants and Diophantine approximations	PDF
07091	The rate of convergence of spectra of sample covariance matrices	PDF
08016	On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix	PDF
08058	Asymptotic expansions in the free Central Limit Theorem	PDF
08070	Concentration of empirical distribution functions with applications to non i.i.d. models	PDF
08110	On concentration of empirical measures and convergence to the semi-circle law	PDF
08116	Characterization problems for linear forms with free summands	PDF
08117	On the divisibility of the discrimant of an integer polynomial by prime powers	PDF
08119	Uniform rates of convergence in the CLT for quadratic forms	PDF
09055	The distribution of close conjugate algebraic numbers	PDF
09063	On algebraic points in the plane near smooth curves	PDF
09067	Birth of a strongly connected giant in an inhomogeneous random digraph	PDF
09072	The accuracy of approximation in the multidimensional invariance principle for sums of independent identically distributed random vectors with finite moments	PDF
09073	Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms of sums of i.i.d. random vectors	PDF
10010	Asymptotic distribution of singular values of powers of random matrices	PDF
10036	Distribution of values of quadratic forms at integral points	PDF
10086	Explicit rates of approximation in the CLT for quadratic forms	PDF
10097	On the asymptotic distribution of the singular values of powers of random matrices	PDF
11004	On the asymptotic of spectrum of products of independent random matrices	PDF
10102	On the asymptotic distribution of singular values of products of large rectangular random matrices	PDF
11010	Freenes of linear and quadratic forms in Von Neumann algebras	PDF
11042	Non-uniform bounds in local limit theorems in case of fractional moments	PDF
11043	Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem	PDF
11044	Convergence to stable laws in relative entropy	PDF
11052	Bounds for characteristic functions in terms of quantiles and entropy	PDF
11053	Berry-Esseen bounds in the entropic central limit theorem	PDF
11133	Rate of convergence in the entropic free CLT	PDF
11134	Asymptotic expansions in the CLT in free probability	PDF
11135	Characterization problems for linear forms with free summands	PDF
11136	On the Rate of Convergence to the Marchenko–Pastur Distribution	PDF
11137	On the rate of convergence to the semi-circular law	PDF
11140	On the distribution of complex roots of random polynomials with heavy-tailed coefficients	PDF
12047	Estimates for the rate of strong approximation in Hilbert space	PDF
12048	Estimates for the concentration functions in the Littlewood-Offord problem	PDF
12049	Local universality of repulsive particle systems and random matrices	PDF
12050	Fisher information and convergence to stable laws	PDF
12051	Fisher information and the central limit theorem	PDF
12062	Free Infinitely Divisible Approximations of n-fold Free Convolutions	PDF
12064	The arithmetic of distributions in free probability theory	PDF
13003	Distribution of values of quadratic forms at integral points	PDF
13029	Semicircle law for a class of random matrices with dependent entries	PDF
11145	Entropic instability of Cramer’s characterization of the normal law	PDF
11146	Stability problems in Cramer-type characterization in case of i.i.d. summands	PDF
13073	Summer School Randomness in Physics and Mathematics	PDF
15025	Asymptotic analysis of symmetric functions	PDF
15031	Arak inequalities for concentration functions and the Littlewood–Offord problem	PDF
15055	Rate of Convergence of the Empirical Spectral Distribution Function to the Semi-Circular Law	PDF
15056	Rate of Convergence of the Expected Spectral Distribution Function to the Marchenko – Pastur Law	PDF
15057	Distribution of linear statistics of singular values of the product of random matrices	PDF
15058	Asymptotic Spectra of Matrix-Valued Functions of Independent Random Matrices and Free Probability	PDF
15059	Multidimensional Hungarian construction for vectors with almost Gaussian smooth distributions	PDF
15060	Preferred attachment model of affiliation network	PDF
15064	The asymptotic number of integral cubic polynomials with bounded heights and discriminants	PDF
15065	Discriminant and root separation of integral polynomials	PDF
15066	Distribution of complex algebraic numbers	PDF
15067	Correlations between real conjugate algebraic numbers	PDF
15068	Correlation functions of real zeros of random polynomials	PDF
15069	Integral polynomials with small discriminants and resultants	PDF
15080	Regularized Distributions and Entropic Stability of Cramer's Characterization of the Normal Law	PDF
15081	Second order concentration on the sphere	PDF
15082	On one generalization of the elliptic law for random matrices	PDF
15083	Optimal Bounds for Convergence of Expected Spectral Distributions to the Semi-Circular Law	PDF
15084	Optimal bounds for convergence of expected spectral distributions to the semi-circular law for the $4+\epsilon$ moment ensemble	PDF
15085	Local semicircle law under moment conditions. Part I: The Stieltjes transform	PDF
15086	Local semicircle law under moment conditions. Part II: Localization and delocalization	PDF
15087	Asymptotic Expansions in Free Limit Theorems	PDF
16046	New applications of Arak’s inequalities to the Littlewood–Offord problem	PDF
16047	Rényi divergence and the central limit theorem	PDF
16048	Second order concentration via logarithmic Sobolev inequalities	PDF
16049	On the local semicircular law for Wigner ensembles	PDF
16050	Correlations between real and complex zeros of a random polynomial	PDF
16051	Stability of Cramer’s characterization of normal laws in information distances	PDF
16052	On distribution of points with algebraically conjugate coordinates in neighborhood of smooth curves	PDF
16053	On points with algebraically conjugate coordinates close to smooth curves	PDF
16054	On algebraic integers in short intervals and near smooth curves	PDF
14076	Radial spacing distributions from planar points sets	PDF

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