Homepage of LORENZ A. GILCH


I N F O R M A T I O N S

  • Nationality:

  • Office: Faculty of Computer Science and Mathematics, University of Passau, Innstrasse 33, D-94032 Passau

  • Phone: +49-(0)851-509-3113


E D U C A T I O N / C A R E E R

06.1978

Born in Passau / Germany

09.1988 - 06.1997

Visit of Gymnasium Vilshofen

11.1997 - 09.2003

Study of Mathematics with choice lectures in »Stochastic Methods in Computer Science« and »Applied Statistics«, University of Passau/Germany
Main topics of studies: Algebra, Computer Algebra, Stochastics/Statistics, Logics

10.1999

Pre-Diploma-Exams

08.2001

Diploma Exams in »Applied Statistics« (Note: 1,0)

09.2002 - 10.2002

Main Diploma Exams (Mean of the Notes: 1,0)

01.2003 - 09.2003

Writing of Diploma Thesis with Subject »Effiziente Hermitesche Quantorenelimination« (Efficient Hermitian Quantifier Elimination); (Note: 1,0)

01.2004

Finishing of Studies of Mathematics with receiving the akademic degree «Diplom-Mathematiker Univ.» (End note: 1,0)
02.2004
 Award of the Faculty Price of the Faculty of Mathematics and Informatics of the University of Passau in the category «Diplom-Mathematik»
03.2004 - 08.2008
 PhD student and scientfic staff member at the Institute for Mathematics C at Graz University of Technology
09.2004 - 03.2007
 Finishing successful PhD studies at the Institute Mathematics C at Graz University of Technology
09.2008 - 02.2010
 DFG (German science fund) stipendium at the Institute for Mathematics C at Graz University of Technology
03.2010 - 08.2010
University assistant at the Institute for Mathematics C at Graz University of Technology
09.2010 - 02.2011
 DFG (German science fund) stipendium at Section de Mathematiques at Geneva University/Switzerland
03.2011 - 08.2016
University assistant at the Institute for Mathematics C at Graz University of Technology

08.2012 - 09.2012

Visiting Scholarship at the University of Sydney

03.2016 - 08.2021

Lecturer at Technische Hochschule Deggendorf

07.2016

Habilitation in Mathematics at Graz University of Technology

10.2016 - 04.2017

Data Scientist at Know-Center Graz

04.2017 - 09.2017

Substitute Professor for Mathematical Statistics at University of Bayreuth
10.2017 - 03.2018
University assistant at the Institute for Analysis and Number Theory at Graz University of Technology
11.2017 - 09.2020
University assistant at Chair of Stochastics and its Applications at University of Passau

since 2018

Lecturer at Graz University of Technology

10.2020 - 03.2021

Substitute Professor for Mathematical Data Science at University of Passau
since 04.2021
University assistant at Chair of Stochastics and its Applications at University of Passau


L A N G U A G E S

German (native), English, French, Latin (Latinum)

R E S E A R C H I N T E R E S T S

Random Walks/Markov chains on graphs and groups, Free Products, Rate of Escape and Entropy of random walks, Branching Random Walks, Statistics.


M E D I A

Live Interview in Ö1 program "Nachtquartier" (01.12.2016; Link, pdf-File)

Spiegel-Online Interview about the Football World Cup 2018 (16.06.2018; Link, pdf-File)

Interview in "Mittelbayerische Zeitung" about the Football World Cup 2018 (14.06.2018; Link, pdf-File)


P U B L I C A T I O N S
Effiziente Hermitesche Quantorenelimination: Diploma Thesis, University of Passau, 2003. (ps-File)

Generic Hermitian Quantifier Elimination (joint work with A.Dolzmann): Artifical Intelligence and Symbolic Computation, 7th International Conference, AISC 2004, Linz/Austria; Springer-Verlag, September 2004. (ps-File)

Rate of Escape of Random Walks on Free Products, Journal of Australian Math. Socitey, Volume 83, Part I, pages 31 - 54, 2007. (pdf-File)

Rate of Escape of Random Walks. PhD thesis, Graz University of Technology, 2007. (pdf-File, Errata-File)

Rate of Escape on the Lamplighter Tree, J. Math. Sciences (N.Y.), Volume 156, No. 1, pages 173 - 186, 2009. (pdf-File)

Acceleration of Lamplighter Random Walks, Markov Processes and Related Fields 14, pages 465 - 486, 2008. (pdf-File)

Lorenz Gilch: Rate of Escape of Random Walks on Regular Languages and Free Products by Amalgamation of Finite Groups. Proceedings to 5th Colloquium on Mathematics and Computer Science, Blaubeuren, DMTCS, pages 2544 - 2560, 2008. (pdf-File)

Lorenz Gilch, Sebastian Müller: Random Walks on Directed Covers of Graphs. Journal of Theoretical Probability, Volume 24, Issue 1, pages 118 - 149, DOI 10.1007/s10959-009-0256-0, 2011. (pdf-File)

Elisabetta Candellero, Lorenz Gilch: Phase Transitions for Random Walk Asymptotics on Free Products of Groups. Random Structures and Algorithms, Vol. 40, Issue 2, 150 - 181, 2012. (pdf-File)

Lorenz Gilch: Asymptotic Entropy of Random Walks on Free Products. Electronic Journal of Probability, Volume 16, pages 76 - 105, 2011. (pdf-File)

Elisabetta Candellero, Lorenz Gilch and Sebastian Müller: Branching Random Walks on Free Products of Groups, Proc. Lond. Math. Soc. (3) 104, no. 6, pages 1085 - 1120, 2012. (pdf-File)

Lorenz Gilch, Francois Ledrappier: Regularity of the Drift and Entropy of Random Walks in Groups, Publ. Mat. Urug., 12. Vol. 14, 147-158, 2013. (pdf-File)

Lorenz Gilch, Sebastian Müller: Ends of branching random walks on planar hyperbolic Cayley graphs. In "Groups, Graphs, and Random Walks", (Editors: T.Ceccherini-Silberstein, M.Salvatori and E.Sava-Huss), London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge 2016. (http://arxiv.org/abs/1409.3443)

Lorenz Gilch: Asymptotic Entropy of Random Walks on Regular Languages over a Finite Alphabet, Elect. J. of Probab., Vol. 21, No. 8, 1-42, 2016. (pdf-File)

Lorenz Gilch: Asymptotic Properties of Random Walks via Generating Functions, Habilitation Thesis, 2016. (pdf-File)

Lorenz Gilch und Sebastian Müller: Counting self-avoiding walks on free products of graphs, Discr. Math. 340, Issue 3, 325--332, 2017. (pdf-File)

Lorenz Gilch, Sebastian Müller und James Parkinson: Asymptotic Entropy of Random Walks on Fuchsian Buildings and Kac-Moody Groups, Math. Zeitschrift, Vol. 285, Iss 3-4, 707-738, 2017. (pdf-File)

Lorenz Gilch, Sebastian Müller and James Parkinson: Limit theorems for random walks on Fuchsian buildings and Kac-Moody groups, "Groups, Geometry and Dynamics", Vol. 12, Iss. 3, 1069-1121, 2018. (http://arxiv.org/abs/1411.7496)

Lorenz Gilch and Sebastian Müller: On Elo based prediction models for the FIFA World Cup 2018, Technical Report MIP-1801, University of Passau, 2018. (pdf-File)

Lorenz Gilch: Prediction Model for the Africa Cup of Nations 2019 via Nested Poisson Regression. African Journal of Applied Statistics, Vol 6(1), pp. 599-615, 2019. (pdf-File)

Lorenz Gilch: 2019 Continental Football Championship Forecasts via Nested Poisson Regression. Technical Report MIP-1901, University of Passau, 2019. (pdf-File)

Lorenz Gilch: Asymptotic Word Length of Random Walks on HNN Extensions. ALEA, Lat. Am. J. Probab. Math. Stat. 18, 509-545, 2021. (pdf-File)

Lorenz Gilch: UEFA EURO 2020 Forecast via Nested Zero-Inflated Generalized Poisson Regression, Technical Report MIP-2101, University of Passau, 2021. (pdf-File)

Lorenz Gilch: Range of Random Walks on Free Products, to appear in Stochastic Processes and their Applications, 2022. (pdf-File)


T A L K S / P R E S E N T A T I O N S

"Generic Hermitian Quantifier Elimination", talk at the conference "Artificial Intelligence and Symbolic Computation 2004", RISC Linz, September 2004.

"Rate of Escape of Random Walks on Free Products of Groups", talk at the conference "Mathematik 2005" (annual meeting of ÖMG/DMV), University of Klagenfurt, September 2005.

"Rate of Escape of Lamplighter Random Walks on Homogeneous Trees", talk at the workshop "RDSES/ESI Educational Workshop on Discrete Probability", Erwin-Schrödinger-Institut Vienna, March 2006.

"Acceleration of Lamplighter Random Walks", poster presentation at the conference "London Mathematical Society Durham Symposium: Recent Developments in Random Walks", Durham University (UK), July 2007.

"Rate of Escape of Random Walks on Regular Languages and Free Products by Amalgamation of Finite Groups", poster presentation at the workshop "Groups and Infinite Graphs", Erwin-Schrödinger-Institut Vienna, August 2008.

"Rate of Escape of Random Walks on Regular Languages and Free Products by Amalgamation of Finite Groups", talk at the conference "5th Colloquium on Mathematics and Computer Science", Heinrich-Fabri-Institut Blaubeuren (Germany), September 2008.

"Asymptotic Entropy of Random Walks on Directed Covers of Graphs", seminary talk at Graz University of Technology, November 2008.

"Asymptotics of Return Probabilities of Random Walks on Free Products of Lattices", joint work with Elisabetta Candellero, poster presentation at the workshop "Boundaries 2009", Graz University of Technology, July 2009.

"Random Walks on Directed Covers of Graphs", joint work with Sebastian Müller, poster presentation at the workshop "Boundaries 2009", Graz University of Technology, July 2009.

"Asymptotics of Return Probabilities of Random Walks on Free Products of Lattices", joint work with Elisabetta Candellero, poster presentation at the "Alp-Workshop", St.Kathrein am Offenegg (Austria), July 2009.

"Random Walks on Directed Covers of Graphs", talk at the annual conference meeting of the ÖMG/DMV at Graz University of Technology, September 2009.

"Phase Transitions for Random Walk Asymptotics on Free Products of Groups", talk at the conference "9th German Open Conference on Probability and Statistics", Leipzig, March 2010.

"Phase Transitions for Random Walk Asymptotics on Free Products of Groups", seminary talk at Section de Mathematiques at Geneva University, March 2010.

"Asymptotic Entropy of Random Walks on Free Products", talk at "Workshop: Analytic enumeration methods in combinatorics, probability and number theory" at Graz University of Technology, May 2010.

"Asymptotic Entropy of Random Walks on Free Products", seminary talk at LATP at Marseille University, June 2010.

"Branching Random Walks on Free Products of Groups", seminary talk at University of Geneva, October 2010.

"Branching Random Walks on Free Products of Groups", seminary talk at Graz University of Technology, October 2010.

"Branching Random Walks on Free Products of Groups", talk within the programme "Bialgebras in free Probability" at Erwin-Schrödinger-Institut Vienna, March 2011.

"Branching Random Walks on Free Products of Groups", talk at Spring School Graz, Graz University of Technology, April 2011.

"Branching Random Walks on Free Products of Groups", talk at Banff-Workshop, Banff (Canada), June 2011.

"Branching Random Walks on Free Products of Groups", talk at the conference "10th German Probability and Statistics Days", Mainz (Germany), März 2012.

"Drift and Entropy of Random Walks on Regular Languages", seminary talk at the University of Sydney, Sydney, September 2012.

"Asymptotic Entropy of Random Walks on Regular Languages", seminary talk at Graz University of Technology, Graz, May, 2013.

"Asymptotic Entropy of Random Walks on Regular Languages", Probability seminary talk at Munich University of Technology, Munich, June, 2013.

"Asymptotic Entropy of Random Walks on Regular Languages", seminary talk at University of Denver, Denver, February, 2014.

"Asymptotic Entropy of Random Walks on Regular Languages", seminary talk at University of Colorado, Boulder, February, 2014.

"Asymptotic Entropy of Random Walks on Regular Languages", talk at German Probability and Statistics Days 2014, Ulm, March, 2014.

"Asymptotic Entropy of Random Walks on Regular Languages", seminary talk at Graz University of Technology, Graz, October, 2014.

"Ends of the trace of branching random walks on groups", talk at Probability seminary at University of Tours, November, 2014.

"Drift and Entropy of Random Walks on Regular Languages", seminary talk at University of Porto, April 2015.

"Asymptotic Entropy of Random Walks on Regular Languages over a Finite Alphabet", Seminary talk at Cornell University, November 2015.

"Asymptotic Entropy of Random Walks on Regular Languages over a Finite Alphabet", Presentational talk for my habilitation project at Graz University of Technology, December 2015.

"Ends of Branching Random Walks on Planar Hyperbolic Cayley Graphs", GPSD 2016, Bochum, March 2016.

"Drift and Entropy of Random Walks", Oberseminar at Chair of Stochastic at University of Bayreuth, May 2017.

"Drift and Entropy of Random Walks", Oberseminar at Chair of Stochastics and its Applications at University of Passau, December 2017.

"Fastest and entropy-maximising random walks on groups", Talk at conference GPSD 2018, Freiburg, February 2018.

"Who will become FIFA World Champion 2018?", Colloquia talk at University of Passau, June 2018.

"Fastest Random Walks on Groups", Seminarvortrag am Lehrstuhl für Stochastik und ihre Anwendungen an der Universität Passau, Dezember 2018.

"Asymptotic word length of random walks on HNN extensions", GPSD 2020, Dresden; Vortrag wurde angenommen, Konferenz fiel wegen Pandemie aus.

"Asymptotic word length of random walks on HNN extensions", Austrian Stochastics Days 2020, Graz, September 2020.