Topic: 
Topological and morphological analysis of random fields with applications to compressible turbulence 
Date: 
28.05.18 
Time: 
16:15 
Place: 
H6 
Guest: 

Newcastle University 

Abstract: 
The theory of random functions and techniques of data analysis based on it mostly rely on the Gaussian statistical properties of the underlying random fields. This limitation is becoming less and less acceptable as the resolution, sensitivity and physical complexity of experimental and numerical data increase. Observations and simulations of compressible random flows, especially in astrophysical contexts, provide a good example of this difficulty. This work is motivated by the need to compare with observations the results of comprehensive simulations of turbulence in the interstellar medium. The quantitative methods used at present are largely limited to probability densities and Fourier spectra of random fields. Meanwhile, observations suggest widespread filamentary structures of the interstellar gas to which the available methods are insensitive. We discuss novel methods of data analysis that are applicable to intermittent, strongly nonGaussian random fields and are based on recent developments in computational topology and morphology or random fields. Particular aspects that will be discussed include the recovery of a threedimensional structure of a random field from its twodimensional crosssection and the effects of magnetic field on interstellar turbulence. 
Contact person: 
Topic: 
The numerical range of positive operators 
Date: 
25.05.18 
Time: 
16:15 
Place: 
V3204 
Guest: 

Universität Greifswald 

Abstract: 
The numerical range of a linear operator A on a Hilbert space H is
defined
as $W(A):={ 
Contact person: 
Topic: 
The QCD crossover up to O(\mu^6_B) from Lattice QCD 
Date: 
29.05.18 
Time: 
14:00 
Place: 
D6135 
Guest: 

Bielefeld University 

Abstract: 

Contact person: 
Topic: 
tba 
Date: 
24.05.18 
Time: 
14:15 
Place: 
D5153 
Guest: 
Ben Niklas Balz 
Universität Bielefeld 

Abstract: 

Contact person: 
Topic: 
Eigenvectorrelated correlation functions and their connection with generalized chiral random matrix ensembles with a source 
Date: 
11.01.18 
Time: 
16:00 
Place: 
D5153 
Guest: 
Jacek Grela 
LPTMS Université ParisSud 

Abstract: 
We will introduce eigenvectorrelated correlation functions, discuss briefly their significance in dynamical Ginibre ensemble [1,2] and present asymptotic results in the large matrix size limit. Motivated by recent work [3] on joint eigenvectoreigenvalue correlation function valid for finite matrix size N in the complex and real Ginibre Ensembles, we study integrable structure of a certain generalized chiral Gaussian Unitary Ensemble with a source [4]. This model can be also interpreted as a deformation of the complex Ginibre Ensemble with an external source with additional determinant term. We present compact formulas for the characteristic polynomial, inverse characteristic polynomial and the kernel. In the case of a special source, we calculate asymptotics in the joint "bulkedge" regime of all aforementioned objects and show their Besseltype behaviour. References: [1] ''Dysonian dynamics of the Ginibre ensemble'', Z. Burda, J. Grela, M. A. Nowak, W. Tarnowski, P. Warcho?, Phys. Rev. Lett. 113, 104102 (2014) [2] ''Unveiling the significance of eigenvectors in diffusing nonhermitian matrices by identifying the underlying Burgers dynamics'', Z. Burda, J. Grela, M. A. Nowak, W. Tarnowski, P. Warcho?, Nucl. Phys. B 897, 421 (2015) [3] ''On statistics of biorthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry'', Y. V. Fyodorov, arXiv:1710.04699 [4] ''On characteristic polynomials for a generalized chiral random matrix ensemble with a source", Y. V. Fyodorov, J. Grela, E. Strahov, arXiv:1711.07061 
Contact person: 
Topic: 
tba 
Date: 
27.06.18 
Time: 
16:15 
Place: 
V3201 
Guest: 

Lund University 

Abstract: 

Contact person: 