Lukas Lüchtrath
Post-doc at Wias Berlin
https://orcid.org/0000-0003-4969-806XE-mail: luechtrath(at)wias-berlin.de
E-mail: luechtrath(at)wias-berlin.de
Introduction
I am currently a post-doc in Benedikt Jahnel's group Probabilistic Methods for Dynamic Communication Networks at Wias Berlin. My main area of interest is probability theory; especially spatial stochastic, complex networks and percolation. I did my PhD under the supervision of Peter Mörters at the University of Cologne.
I did my Master's in mathematics in 2018 and my Bachelor's in business mathematics in 2014 at University of Cologne.
Published Papers and Preprints
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Existence of subcritical percolation phases for generalised weight-dependent random connection models
with Benedikt Jahnel
arXiv preprint: 2302.05396 -
Finiteness of the percolation threshold for inhomogeneous long-range models in one dimension
with Peter Gracar and Christian Mönch
arXiv preprint: 2203.11966 -
Percolation phase transition in weight-dependent random connection
models
with Peter Gracar and Peter Mörters
Advances in Applied Probability (2021), 53(4), 1090-1114. doi:10.1017/apr.2021.13
Access to ArXiv preprint -
Preferential attachment with location-based choice: Degree distribution in the noncondensation phase
with Arne Grauer and Mark Yarrow
Journal of Statistical Physics (2021), 184, Doi: 10.1007/s10955-021-02782-6 -
The age-dependent random connection model
with Peter Gracar, Arne Grauer and Peter Mörters
Queueing Systems (2019), 93(3), 309-331, DOI: 10.1007/s11134-019-09625-y
Talks
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Evolving networks, their limits and global properties
Invited speaker at Oberseminar Stochastik of the University Augsburg, January 2023 -
Percolation in weight-dependent random connection models
Contributed speaker at RandNET Summer School and Workshop on Random Graphs at Eindhoven, August 2022 -
The various phases of long-range inhomogeneous percolation
Invited speaker at Seminar Interacting Random Systems of WIAS Berlin, June 2022 -
The various phases of long-range inhomogeneous percolation
Contributed talk at Workshop: Mathematics of large networks (Erdös Center, Budapest), May 2022 -
Non-triviality of the phase transition in inhomogeneous long-range percolation in dimension one
Contributed talk at SPP2265 Workshop Random spatial networks, March 2022
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Percolation phase transition in weight-dependent random connection models
Contributed talk at Projet ANR GrHyDy: Workshop on geometric random graph models and percolation, Oktober 2021.
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Percolation phase transition in weight-dependent random connection models
Contributed video talk for the Stochastik-Tage Mannheim, Oktober 2021.
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Percolation phase transition in weight-dependent random connection models
Invited Speaker at Prob-Lab Seminar of the University of Bath, September 2021.
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The age-dependent random connection model
Invited speaker at Probability and Statistics Seminar Series of University of Sheffield, April 2019.
With Arne Grauer
Teaching
Current semester:
No teaching duties this semester
Former semesters:
- Statistische Mechanik
- Seminar "Punktprozesse"
- Mathematik für Lehramtsstudierende I & II
- Stochastische Finanzmathematik
- Wahrscheinlichkeitstheorie I & II
- Einführung in die Stochastik
- Markovprozesse
- Lineare Algebra I & II