Bobkov SG, Götze F, Tikhomirov AN. On Concentration of Empirical Measures and Convergence to the Semi-circle Law. JOURNAL OF THEORETICAL PROBABILITY. 2010;23(3):792-823.Concentration properties of the general empirical distribution functions and the rate of convergence of spectral empirical distributions to the semi-circle law in the case of symmetric high-dimensional random matrices are studied under Poincar,-type inequalities
Matrix concentration inequalities provide information about the probability that a random matrix is ...
Götze F, Tikhomirov A, Timushev DA. Rate of convergence to the semi-circle law for the Deformed Gaus...
This monograph offers an invitation to the field of matrix concentration inequalities. It begins wit...
Abstract. Concentration properties of the general empirical distribution functions and the rate of c...
Bobkov SG, Götze F. Concentration of empirical distribution functions with applications to non-i.i.d...
University of Minnesota Ph.D. dissertation. May 2013. Major: Mathematics. Advisor: Sergey G. Bobkov....
Götze F, Jalowy J. Rate of convergence to the Circular Law via smoothing inequalities for log-potent...
The bounds for the Lp-norm, p ≥ 2, for the Kolmogorov distance between spec-tral distribution functi...
Götze F, Tikhomirov A. Optimal bounds for convergence of expected spectral distributions to the semi...
48 pagesStarting from concentration of measure hypotheses on $m$ random vectors $Z_1,\ldots, Z_m$, t...
Abstract. The circular law asserts that if Xn is a n×n matrix with iid complex entries of mean zero ...
Götze F, Tikhomirov A. Rate of convergence to the semi-circular law. PROBABILITY THEORY AND RELATED ...
AbstractWe show that the mixing times of random walks on compact groups can be used to obtain concen...
It is well known that the spectral distribution Fn of a Wigner matrix converges to Wigner's semicirc...
Abstract. In this paper we study ensembles of random symmetric matrices Xn = {Xij}ni,j=1 with a rand...
Matrix concentration inequalities provide information about the probability that a random matrix is ...
Götze F, Tikhomirov A, Timushev DA. Rate of convergence to the semi-circle law for the Deformed Gaus...
This monograph offers an invitation to the field of matrix concentration inequalities. It begins wit...
Abstract. Concentration properties of the general empirical distribution functions and the rate of c...
Bobkov SG, Götze F. Concentration of empirical distribution functions with applications to non-i.i.d...
University of Minnesota Ph.D. dissertation. May 2013. Major: Mathematics. Advisor: Sergey G. Bobkov....
Götze F, Jalowy J. Rate of convergence to the Circular Law via smoothing inequalities for log-potent...
The bounds for the Lp-norm, p ≥ 2, for the Kolmogorov distance between spec-tral distribution functi...
Götze F, Tikhomirov A. Optimal bounds for convergence of expected spectral distributions to the semi...
48 pagesStarting from concentration of measure hypotheses on $m$ random vectors $Z_1,\ldots, Z_m$, t...
Abstract. The circular law asserts that if Xn is a n×n matrix with iid complex entries of mean zero ...
Götze F, Tikhomirov A. Rate of convergence to the semi-circular law. PROBABILITY THEORY AND RELATED ...
AbstractWe show that the mixing times of random walks on compact groups can be used to obtain concen...
It is well known that the spectral distribution Fn of a Wigner matrix converges to Wigner's semicirc...
Abstract. In this paper we study ensembles of random symmetric matrices Xn = {Xij}ni,j=1 with a rand...
Matrix concentration inequalities provide information about the probability that a random matrix is ...
Götze F, Tikhomirov A, Timushev DA. Rate of convergence to the semi-circle law for the Deformed Gaus...
This monograph offers an invitation to the field of matrix concentration inequalities. It begins wit...