publications

journal articles

  1. AOS
    Change point estimation for a stochastic heat equation
    Markus Reiß, Claudia Strauch, and Lukas Trottner
    Ann. Statist., to appear
  2. OREP
    Mini-Workshop: Statistical Challenges for Deep Generative Models
    Sören Christensen, Alain Olivieiro-Durmus, Claudia Strauch, and Lukas Trottner
    Oberwolfach Rep., 2025
  3. JUQ
    Data-driven rules for multidimensional reflection problems
    Sören Christensen, Asbjørn Holk Thomsen, and Lukas Trottner
    SIAM/ASA J. Uncertain. Quantif., 2024
  4. TAMS
    Markov additive friendships
    Leif Döring, Lukas Trottner, and Alexander R. Watson
    Trans. Amer. Math. Soc., 2024
  5. BLMS
    The uniqueness of the Wiener–Hopf factorisation of Lévy processes and random walks
    Leif Döring, Mladen Savov, Lukas Trottner, and Alexander R. Watson
    Bull. Lond. Math. Soc., 2024
  6. IMAIAI
    Covariate shift in nonparametric regression with Markovian design
    Lukas Trottner
    Inf. Inference, 2024
  7. Bernoulli
    Learning to reflect: A unifying approach for data-driven stochastic control strategies
    Sören Christensen, Claudia Strauch, and Lukas Trottner
    Bernoulli, 2024
  8. AOAP
    Stability of overshoots of Markov additive processes
    Leif Döring, and Lukas Trottner
    Ann. Appl. Probab., 2023
  9. JMLR
    Concentration analysis of multivariate elliptic diffusions
    Lukas Trottner, Cathrine Aeckerle-Willems, and Claudia Strauch
    J. Mach. Learn. Res., 2023
  10. AIHP
    Adaptive invariant density estimation for continuous-time mixing Markov processes under sup-norm risk
    Niklas Dexheimer, Claudia Strauch, and Lukas Trottner
    Ann. Inst. Henri Poincaré Probab. Stat., 2022

preprints

  1. arXiv
    Beyond Fixed Horizons: A Theoretical Framework for Adaptive Denoising Diffusions
    Sören Christensen, Claudia Strauch, and Lukas Trottner
    2025
  2. arXiv
    Statistical guarantees for denoising reflected diffusion models
    Asbjørn Holk, Claudia Strauch, and Lukas Trottner
    2024
  3. arXiv
    Multivariate change estimation for a stochastic heat equation from local measurements
    Anton Tiepner, and Lukas Trottner
    2024