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Jörg-Uwe Löbus

Associate Professor, Docent

My research concerns stochastic analysis and applications such as particle systems and diffusion processes.

I am particularly interested in infinite dimensional stochastic calculus. Most recently I have worked on Mosco type convergence as well as weak convergence of stochastic processes and particle systems, and on quasi-invariance of probability measures under certain stochastic and non-stochastic flows. Particle approximations of solutions to certain PDEs play a role in my work.

Publications

Jörg-Uwe Löbus (2021) Knudsen Type Group for Time in R and Related Boltzmann Type Equations, 72 pp. Online in Communications in Contemporary Mathematics (CCM), doi 10.1142/S0219199721500723

2024

Jörg-Uwe Löbus (2024) Quasi-invariance under flows generated by non-linear PDEs Analysis and Applications, Vol. 22, p. 179-277 (Article in journal) Continue to DOI

2023

Jörg-Uwe Löbus (2023) Knudsen type group for time in R and related Boltzmann type equations Communications in Contemporary Mathematics, Vol. 25, Article 2150072 (Article in journal) Continue to DOI

2018

Jörg-Uwe Löbus (2018) Boundedness of the Stationary Solution to the Boltzmann Equation with Spatial Smearing, Diffusive Boundary Conditions, and Lions' Collision Kernel SIAM Journal on Mathematical Analysis, Vol. 50, p. 5761-5782 (Article in journal) Continue to DOI

2017

Jörg-Uwe Löbus (2017) Absolute Continuity under Time Shift of Trajectories and Related Stochastic Calculus Memoirs of the American Mathematical Society, Vol. 249, p. 1-135 (Article in journal) Continue to DOI

2016

John Karlsson, Jörg-Uwe Löbus (2016) Infinite dimensional Ornstein-Uhlenbeck processes with unbounded diffusion: Approximation, quadratic variation, and Itô formula Mathematische Nachrichten, Vol. 289, p. 2192-2222 (Article in journal) Continue to DOI

CV

Academic Employment

  • 2021 - 2022 Substitute Full Professor Leipzig University (Germany)
  • 2018 - 2019 Substitute Full Professor, Martin-Luther Universität Halle-Wittenberg
  • 2009 - Senior Lecturer, Linköping University, Linköping (Sweden)
  • 2005 - 2006 Visitor, University of New Hampshire, Durham (NH)
  • 2003 - 2005 Visitor, University of Delaware, Newark (DE)
  • 2002 - 2003 Visitor, University of Toledo, Toledo (OH)
  • 2001 - 2002 Visitor, Northwestern University, Evanston/Chicago (IL)
  • 1996 - 2003 Associate Professor, University of Jena
  • 1994 Visiting Assistant Professor, University of Bonn
  • 1988 Visiting Assistant Professor, Kiev State University (Ukraine)
  • 1987 - 1996 Assistant Professor, University of Jena
  • 1983 - 1987 Teaching/Research Assistant, University of Jena

Education

  • 2011 Swedish Docent, Institute of Technology, Linköping University
  • 1996 Dr. rer. nat. habil., Department of Mathematics and Information Science, University of Jena
  • 1988 Dr. rer. nat., Department of Mathematics and Information Science, University of Jena
  • 1983 Graduate, Department of Mathematics, Dresden Technical University

Current Memberships 

  • American Mathematical Society 
  • Deutscher Hochschulverband

Award

  • Third prize in the International Mathematical Olympiad 1976 (Vienna, Austria)

Citizenship

  • Federal Republic of Germany, Kingdom of Sweden

Organisation

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Applied Mathematics (TIMA)

Applied mathematics is used to study advanced methods for modeling in technology as well as natural and social sciences. The division conducts research in computational mathematics, mathematical statistics and optimization.
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Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.
Studenthuset on Campus Valla in Linköping

About LiU

Linköping University, LiU, offers innovative education and boundary-crossing research. The students are among the most desirable in the labour market and international rankings consistently place LiU as a leading global university.

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