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Colloquium

Topic:

tba

Date:

08.04.19

Time:

16:15

Place:

H6

Guest:

Prof. Aleksandra Radenovic

EPFL Lausanne

Abstract:

Contact person:

T. Huser

Colloquium Mathematical Physics

Topic:

On symmetry-protected topological states: from free fermions to the Haldane phase

Date:

01.02.19

Time:

16:15

Place:

H6

Guest:

Martin Zirnbauer

University of Cologne

Abstract:

The Nobel-Prize winning Haldane phase of spin-1 antiferromagnetic spin chains is a paradigm for symmetry-protected topological phases. When local charge fluctuations are allowed, there has been a debate: protection by what? My answer is that there exists an adiabatic path to a free-fermion topological phase of class AIII, protected by a particle-hole symmetry. To set the stage, I will review Dyson’s Threefold Way and recall the Tenfold Way of disordered fermions.

Contact person:

G. Akemann

Seminar High Energy Physics

Topic:

tba

Date:

02.04.19

Time:

14:15

Place:

D6-135

Guest:

Masakiyo Kitazawa

Osaka University

Abstract:

Contact person:

O. Kaczmarek

Seminar Condensed Matter

Topic:

Coupled Superconducting Qubits

Date:

25.01.19

Time:

14:15

Place:

D2-240

Guest:

Timo Gahlmann

Universität Bielefeld

Abstract:

Contact person:

Thomas Dahm

Seminar Mathematical Physics

Topic:

Rate of Convergence to the Circular Law

Date:

17.01.19

Time:

17:15

Place:

D5-153

Guest:

Jonas Jalowy

Bielefeld University

Abstract:

> It is well known that the (complex) empirical spectral distribution of a > non-Hermitian random matrix with i.i.d. entries will converge to the > uniform distribution on the complex disc as the size of the matrix tends > to infinity. In this talk, we investigate the rate of convergence to the > Circular Law in terms of a uniform, 2-dimensional Kolmogorov-like > distance. The optimal rate of convergence is determined by the Ginibre > ensemble and is given by $n^{-1/2}$. I will present a smoothing > inequality for complex measures that quantitatively relates the > Kolmogorov-like distance to the concentration of logarithmic potentials. > Combining it with results from local circular laws, it is applied to > prove nearly optimal rate of convergence to the circular law with > overwhelming probability. Furthermore I will relate the result to other > distances, present an analogue for the empirical root measure of Weyl > random polynomials with independent coefficients and discuss a possible > generalization for products of independent matrices. The talk is based > on joint work with Friedrich Götze.

Contact person:

Gernot Akemann

Seminar AG Zufallsmatrizen

Topic:

On Kac polynomials and truncations of random orthogonal matrices

Date:

30.01.19

Time:

16:00

Place:

V3-201

Guest:

Mihail Poplavskyi

King's College London

Abstract:

Zeros of random polynomials give a rise to a point process which does look similar to the ones arising in RMT but has no integrable structure. We discuss a long standing problem of finding persistence probability asymptotic behaviour for the family of Kac polynomials of even large degree. We first use imprecise connection to the model of truncations of random orthogonal matrices and calculate persistence probability by using integrability of corresponding RMT model. We then present recent progress in solving another integrable model, namely Gaussian Stationary Process with sech correlations, which was shown in 2002 [Dembo, Poonen, Shao, Zeitouni] to give a precise approximation for Kac polynomials. The talk is based on joint works with M. Gebert (QMUL/UC Davis), G. Schehr (LPTMS).

Contact person:

Gernot Akemann



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