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Aktuelle Veranstaltungen

 

Kolloquium

Thema:

tba

Datum:

08.01.18

Uhrzeit:

16:15

Ort:

H6

Vortragender:

Prof. Dr. Ralf Seidel

Universität Leipzig

Inhalt:

Ansprechpartner:

D. Anselmetti

Kolloquium Mathematische Physik

Thema:

Mesoscopic eigenvalue correlations of random matrices

Datum:

01.12.17

Uhrzeit:

16:00

Ort:

V2-210/216

Vortragender:

Antti Knowles

University of Geneva

Inhalt:

Ever since the pioneering works of Wigner, Gaudin, Dyson, and Mehta, the correlations of eigenvalues of large random matrices on short scales have been a central topic in random matrix theory. On the microscopic spectral scale, comparable with the typical eigenvalue spacing, these correlations are now well understood for Wigner matrices thanks to the recent solution of the Wigner-Gaudin-Dyson-Mehta universality conjecture. In this talk I focus on eigenvalue density-density correlations between eigenvalues whose separation is much larger than the microscopic spectral scale; here the correlations are much weaker than on the microscopic scale. I discuss to what extent the Wigner-Gaudin-Dyson-Mehta universality remains valid on such larger scales, for Wigner matrices and random band matrices.

Ansprechpartner:

G. Akemann

Seminar Hochenergiephysik

Thema:

Production of charm quarks in relativistic heavy ion collisions using parton cascade model

Datum:

19.12.17

Uhrzeit:

14:15

Ort:

D6-135

Vortragender:

Dinesh Srivastava

Kolkata, India

Inhalt:

We discuss extension of parton cascade model proposed earlier to include production and propagation of charm quarks in relativistic heavy ion collision at RHIC energies. We find additional production of charms having low transverse momenta due to multiple scattering among partons and suppressed production of charm quarks having large transverse momenta due to collisions and radiation of gluons. Applying the treatment to pp collisions at LHC energies, we find a large production of charm quarks and strangeness equilibration in events with large multiplicity.

Ansprechpartner:

H. Satz

Seminar Kondensierte Materie

Thema:

Magnetokalorik mittels klassicher Monte-Carlo Rechnungen

Datum:

20.12.17

Uhrzeit:

14:15

Ort:

D6-135

Vortragender:

Andreas Brakowski

Inhalt:

Ansprechpartner:

Jürgen Schnack

Seminar Mathematische Physik

Thema:

CFT and SLE in a doubly connected domain

Datum:

09.11.17

Uhrzeit:

16:00

Ort:

D5-153

Vortragender:

Sungsoo Byun

Seoul National University

Inhalt:

In this talk, I will present certain implementations of conformal field theory (CFT) in a doubly connected domain. The statistical fields in these implementations are generated by central charge modifications of the Gaussian free field with excursion reflected/Dirichlet boundary conditions. I will explain Ward's equation in terms of a stress energy tensor, Lie derivative operators and the modular parameter. Combining Ward's equation with the level 2 degeneracy equation for the boundary condition changing operator, I will outline the relation between CFT and Schramm-Loewner Evolution (SLE) theory. As applications, I will present a version of restriction property and Friedrich-Werner’s formula for annulus SLE and explain how to apply the method of screening to find explicit solutions of the partial differential equations for the annulus SLE partition functions introduced by Lawler and Zhan. This is based on joint work with Nam-Gyu Kang and Hee-Joon Tak.

Ansprechpartner:

Gernot Akemann

Seminar AG Zufallsmatrizen

Thema:

On the extreme value statistics of normal random matrices

Datum:

13.12.17

Uhrzeit:

14:15

Ort:

V3-201

Vortragender:

Rouhollah Ebrahimi

Pontificia Universidade Catolica do Rio de Janeiro Rio de Janeiro

Inhalt:

In this work, we extend the approach of orthogonal polynomials for extreme value calculations of Hermitian random matrices, developed by Nadal and Majumdar, to normal random matrices and 2D Coulomb gases in general. Firstly, we show that this approach provides an alternative derivation of results in the literature. More precisely, we show convergence of the rescaled eigenvalue with largest modulus of a Ginibre ensemble to a Gumbel distribution, as well as universality for an arbitrary radially symmetric potential. Secondly, it is shown that this approach can be generalised to obtain convergence of the eigenvalue with smallest modulus and its universality for ring distributions. Furthermore, the here presented techniques can be used to compute finite N expressions of the above distributions, which is important for practical applications, given the slow convergence. One interesting aspect of this work is the fact that we can use standard techniques from Hermitian random matrices to obtain the extreme value statistics of non-Hermitian random matrices. Furthermore, the calculation resembles the large N expansion used in context of the double scaling limit of Hermitian matrix models in string theory.

Ansprechpartner:

Gernot Akemann



  • @ 2008 Uni Bielefeld
  • | Letzte Änderung: 23.11.2011
  •  Olaf Kaczmarek
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