Welcome to the group mathematical stochastics
Chair of Mathematical Stochastics

Prof. Dr. Torben Krüger
Chair of Mathematical Stochastics
Professors
Address
Contact
Phone: +49 9131 85-67090
Website: https://sites.google.com/site/torbenkruegermath/
Secretary

Khushi Batra
Chair of Mathematical Stochastics
Administrative staff
Address
Contact
Scientific Staff

Prof. Dr. Christophorus Richard
Faculty of Sciences
Adjunct professors
Address
Contact
Phone: +49 9131 85-67086
Website: https://en.www.math.fau.de/stochastics/prof-dr-christoph-richard

Dr. Markus Ebke
Professorship for Applied Mathematics (Applied Analysis)
Professors
Contact
Phone: +49 9131 85-67115

Michael Feigin
Chair of Mathematical Stochastics
Research associates
Address
Contact

Dr. Jan Mazac
Chair of Mathematical Stochastics
Research associates
Contact
Phone. : +49 9131 85-67083
Emeriti
Prof. Dr. Andreas Greven
E-Mail: greven@mi.uni-erlangen.de
Webseite: https://www.math.fau.de/stochastik/andreas-greven
Prof. Dr. Gerhard Keller
E-Mail: keller@math.fau.de
Webseite: https://www.math.fau.de/stochastik/gerhard-keller/
Summer Semester 2026
01.07 2026, 16:30 Uhr, Raum 04.363 – Oleksii Kolupaiev – Two-resolvent local laws with decorrelation in energy space
Winter Semester 2025/26
04.02 2026, 16:15 Uhr, Raum Übung 4 -Sebastian Kühnert – Aspects of Functional Time Series Models and Estimation
21.01.2026, 16:15 Uhr, Raum Übung 4 – Philipp Gohlke – Entropy of random substitution systems
14.01.2026, 16:15 Uhr, Raum 04.363 – Mohammed Osman – Bulk universality for sparse complex matrices
Summer Semester 2025
10.07.2025, 14:00 Uhr, Raum 01.382 -Kurt de los Santos, Jim Raphealo Mijares, and Eden Delight Miro – Dynamical systems arising from random substitutions and quadratic number field
Winter Semester 2024/25
12.02.2025, 16:15 Uhr, Lecture hall : H9 Werner-von-Siemens – Inack Estelle – Variational Neural Annealing: Optimization in Physics, Biology, and Finance
05.02.2025, 16:15 Uhr, Lecture hall : H9 Werner-von-Siemens – Christoph Hertrich – Understanding Neural Networks via Polyhedral Geometry
29.01.2025, 16:15 Uhr, Hörsaal : H9 Werner-von-Siemens – Elvis Dohmatob – Provable Neural Scaling Laws
22.01.2025, 16:15 Uhr, Lecture hall : H9 Werner-von-Siemens – Joscha Henheik
Summer Semester 2024
17.07.2024, 16:15 Uhr, Raum 04.363 – Martin Metodiev – Estimating large covariance matrices
10.07.2024, 16:15 Uhr, Raum 04.363 -Nicolae Strungaru – Diffraction and unitary representations on Hilbert spaces
19.06.2024, 16:15 Uhr, Raum 04.363 – Pavlos Zoubouloglou – Large Deviations for Empirical Measures of Self-Interacting Markov Chains
29.05.2024, 16:15 Uhr, Raum 04.363 – Andreas Brendel – Neural Audio Coding – Challenges and Opportunities
Winter Semester 2023/24
07.02.2024, 16:15 Uhr, Raum H13 – Frederik Nagel : DSAI – The Center for Digital Signal Processing with AI
31.01.2024, 16:15 Uhr, Raum H13 – Michael Döllinger : Analyzing the human voice production
24.01.2024, 16:15 Uhr, Raum H13 – Pritpal Matharu : Adjoint-Based Enforcement of State Constraints in PDE Optimization Problems
20.12.2023, 16:15 Uhr, Raum H13 – Christian Pascal Hirsch : On the topology of higher-order age-dependent random connection models
15.11.2023, 16:15 Uhr, Raum H13 – Tomas Masák : The Functional Graphical Lasso
08.11.2023, 16:15 Uhr, Raum H13 – Stefan Richter
Summer Semester 2023
19.07.2023, 16:15 Uhr, Raum 04.363 – Markus Ebke : Disk Counting Statistics for the Real and Symplectic Ginibre Ensemble
28.06.2023, 16:15 Uhr, Room 04.363 – Yacin Ameur : The two-dimensional Coulomb gas with spectral gaps
14.06.2023, 16:15 Uhr, Room 04.363 – Jana Reker : Functional Central Limit Theorems for Wigner Matrices
07.06.2023, 16:15 Uhr, Raum 04.363 – Neil Manibo : Ghost measures and the finiteness conjecture for matrices
10.05.2023, 16:15 Uhr, Room 04.363 – Yuanyuan XU: Precise asymptotics for the extreme eigenvalues of a large random matrix
03.05.2023, 16:15 Uhr, Room 04.363 – Sven Joscha Henheik: “On eigenvector overlaps for random matrices”
Winter Semester 2022/23
14.12.2022, 16:15 Uhr, Raum 04.363 – Giorgio Cipoloni
Summer Semester 2022
26.07.2022, 16:15 Uhr, Raum 04.363 – David Renfrew : Eigenvalues of large random matrices with non-iid enries
19.07.2022, 16:15 Uhr, Raum 04.363 – Johannes Alt : Spectral Phases of Erdős–Rényi graphs
12.07.2022, 16:15 Uhr, Raum 04.363 – Jacob Fronk : Non-Hermitian random matrices beyond the circular law
14.06.2022, 16:15 Uhr, Raum 04.363 – Timo Spendler : Random substitution subshifts
31.05.2022, 16:15 Uhr, Raum 04.363 – Till Hauser : Pure point diffraction and entropy beyond the euclidean space
10.5.2022, 16:15 Uhr, Room 04.363 – Christoph Richard: “On uniform distributions in model sets”

Prof. Dr. Torben Krüger
Chair of Mathematical Stochastics
Professors
Address
Contact
Room: Raum 02.338
Cauerstraße 11
91058 Erlangen
Phone number: +49 9131 85-67090
Fax number: +49 9131 85-67089
Website: https://sites.google.com/site/torbenkruegermath/
Teaching
Winter term 2023/2024
- Stochastische Modelle Integrated Life Science/ Stochastische Modellbildung;
- Termin:
- Di 08:00-10:00, Raum HD Hörsaal Physikum
- Mi 08:00-10:00, Raum HD Hörsaal Physikum
- Termin:
- Stochastische Analysis;
- Termin:
- Mo 14:00-16:00, Raum Übung 4
- Termin:
- Seminar: Random Matrices (Masterseminar, Querschnittsmodulseminar);
- Termin:
- Mo 08:00-10:00, Raum 04.363
- Mo 10:00-12:00, Raum Übung 2
- Termin:
Correspondent of the German Actuarial Association
In my function as a correspondent of the German Actuarial Association (DAV) at the FAU Erlangen-Nuremberg, I can issue a corresponding certificate to those graduates who aspire to become actuaries and can prove their knowledge of mathematics or stochastics according to the “Learning Objectives of the DAV Education (Appendix A or Appendix B)” by means of performance records. It is up to the DAV Admissions Committee to decide whether the demonstrated knowledge is deemed sufficient to be recognized in lieu of the corresponding DAV Admissions Examination.
To request such a certificate, please email me with the following information:
- Name
- Matriculation number
- Field of study (e.g. BSc Mathematics, MSc Mathematics, BSc Business Mathematics)
- List of mathematics lectures attended in which the knowledge required in Appendix A was acquired (with indication of semester, lecturer, Transcript of records)
- List of attended stochastics/statistics lectures in which the knowledge required in Appendix B was acquired (with indication of semester, lecturer, Transcript of records)
- Address for sending the certificate
Universality in Disordered Quantum Systems
https://sites.google.com/site/torbenkruegermath/q-universality?authuser=0
Dynamics on Correlated Networks
https://sites.google.com/site/torbenkruegermath/networks?authuser=0
- , :
Singularity degree of structured random matrices
In: Annales de l'Institut Henri Poincaré - Probabilités Et Statistiques 61 (2025), p. 1416-1442
ISSN: 0246-0203
DOI: 10.1214/24-AIHP1464
BibTeX: Download
- , , :
RANDOMLY COUPLED DIFFERENTIAL EQUATIONS WITH ELLIPTIC CORRELATIONS
In: Annals of Applied Probability 33 (2023), p. 3098-3144
ISSN: 1050-5164
DOI: 10.1214/22-AAP1886
BibTeX: Download
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Inhomogeneous circular law for correlated matrices
In: Journal of Functional Analysis 281 (2021), Article No.: 109120
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2021.109120
BibTeX: Download - , , :
Scattering in Quantum Dots via Noncommutative Rational Functions
In: Annales Henri Poincaré (2021)
ISSN: 1424-0637
DOI: 10.1007/s00023-021-01085-6
BibTeX: Download
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Local laws for polynomials of Wigner matrices
In: Journal of Functional Analysis 278 (2020), Article No.: 108507
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2020.108507
BibTeX: Download - , , :
Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case
In: Communications in Mathematical Physics 378 (2020), p. 1203-1278
ISSN: 0010-3616
DOI: 10.1007/s00220-019-03657-4
BibTeX: Download
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Stability of the matrix Dyson equation and random matrices with correlations
In: Probability Theory and Related Fields 173 (2019), p. 293-373
ISSN: 0178-8051
DOI: 10.1007/s00440-018-0835-z
BibTeX: Download - , , , :
Location of the spectrum of Kronecker random matrices
In: Annales de l'Institut Henri Poincaré - Probabilités Et Statistiques 55 (2019), p. 661-696
ISSN: 0246-0203
DOI: 10.1214/18-AIHP894
BibTeX: Download
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Local inhomogeneous circular law
In: Annals of Applied Probability 28 (2018), p. 148-203
ISSN: 1050-5164
DOI: 10.1214/17-AAP1302
BibTeX: Download - , , :
Power law decay for systems of randomly coupled differential equations
In: SIAM Journal on Mathematical Analysis 50 (2018), p. 3271-3290
ISSN: 0036-1410
DOI: 10.1137/17M1143125
BibTeX: Download - , , , , :
Emergence of coexisting ordered states in active matter systems
In: Science 361 (2018), p. 255-258
ISSN: 0036-8075
DOI: 10.1126/science.aao5434
BibTeX: Download
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Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half-Plane
In: Communications on Pure and Applied Mathematics 70 (2017), p. 1672-1705
ISSN: 0010-3640
DOI: 10.1002/cpa.21639
BibTeX: Download - , , :
Universality for general Wigner-type matrices
In: Probability Theory and Related Fields 169 (2017), p. 667-727
ISSN: 0178-8051
DOI: 10.1007/s00440-016-0740-2
BibTeX: Download - , , :
Local law for random gram matrices
In: Electronic Journal of Probability 22 (2017), Article No.: 25
ISSN: 1083-6489
DOI: 10.1214/17-EJP42
BibTeX: Download
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Local Spectral Statistics of Gaussian Matrices with Correlated Entries
In: Journal of Statistical Physics 163 (2016), p. 280-302
ISSN: 0022-4715
DOI: 10.1007/s10955-016-1479-y
BibTeX: Download
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Evolutionary games of condensates in coupled birth-death processes
In: Nature Communications 6 (2015), Article No.: 6977
ISSN: 2041-1723
DOI: 10.1038/ncomms7977
BibTeX: Download
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Local semicircle law with imprimitive variance matrix
In: Electronic Communications in Probability 19 (2014)
ISSN: 1083-589X
DOI: 10.1214/ECP.v19-3121
BibTeX: Download
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Coexistence and survival in conservative lotka-volterra networks
In: Physical Review Letters 110 (2013), Article No.: 168106
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.110.168106
BibTeX: Download

Prof. Dr. Christophorus Richard
Faculty of Sciences
Adjunct professors
Address
Contact
Raum 02.335
Cauerstraße 11
91058 Erlangen
Phone number: +49 9131 85-67086
Fax number: +49 9131 85-67089
Office hours
appointment by e-mail

Dr. Markus Ebke
Professorship for Applied Mathematics (Applied Analysis)
Professors
Contact
Room: 02.377
Cauerstr. 11
91058 Erlangen
Phone: +49 9131 85-67115
Fax number: +49 9131 85-67089
Publications
- , , :
Universality of the Number Variance in Rotational Invariant Two-Dimensional Coulomb Gases
In: Journal of Statistical Physics 190 (2023), Article No.: 9
ISSN: 0022-4715
DOI: 10.1007/s10955-022-03005-2
BibTeX: Download - , , , :
Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble
In: Journal of Physics A: Mathematical and Theoretical 56 (2023), Article No.: 495202
ISSN: 1751-8113
DOI: 10.1088/1751-8121/ad0885
BibTeX: Download - , , :
Wronskian structures of planar symplectic ensembles
In: Nonlinearity 36 (2023), p. 809-844
ISSN: 0951-7715
DOI: 10.1088/1361-6544/aca3f4
BibTeX: Download
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Universal scaling limits of the symplectic elliptic Ginibre ensemble
In: Random Matrices : Theory and Applications (2022), Article No.: 2250047
ISSN: 2010-3263
DOI: 10.1142/S2010326322500472
BibTeX: Download
Summer term 2023
– Probability Theory (Prof. Krüger)
– Introduction to Statistics and Statistical Programming (Prof. Richard)
– Bachelor seminar: Statistics (Prof. Richard)
– Masterseminar: Large deviations and concentration of measure (Dr. Ebke)
Winter term 2022/23
– Stochastic Modeling (Prof. Krüger)
– Stochastic Models for ILS (Prof. Krüger)
– Stochastic Analysis (Prof. Krüger)
– Mathematical Modeling and Statistics for Natural Scientists (Prof. Richard)