IRTG Publications in 2025

• Emergence of partial tracking in the set of active pursuer-evader pairs in Euclidean space
  Ahn H, Byeon J, Ha SY, Yoon J (2025)
  Automatica J. IFAC 179: Paper No. 112445, 11pp.
  DOI
• Complex symmetric, self-dual, and Ginibre random matrices: analytical results for three classes of bulk and edge statistics
  Akemann G, Aygün N, Kieburg M, Päßler P (2025)
  PUB | arXiv | DOI
• The probability of almost all eigenvalues being real for the elliptic real Ginibre ensemble
  Akemann G, Byun SS, Lee YW (2025)
  Nonlinearity 38(10), Article No. 105015
  PUB | arXiv | DOI
• Spectral moments of complex and symplectic non-Hermitian random matrices
  Akemann G, Byun SS, Oh S (2025)
  arXiv:2505.12271.
  arXiv
• Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces
  Bae J, Kang J, Kim P, Lee J (2025)
  J. Differ. Equ. 438
  arXiv | DOI
• The De Giorgi method for local and nonlocal systems
  Behn L, Diening L, Nowak S, Scharle T (2025)
  J. Lond. Math. Soc. 112(1), Article No. e70237, 27pp.
  PUB | arXiv | DOI
• Consensus, error estimates and applications of first- and second-order consensus-based optimization algorithms
  Byeon J, Ha SY, Hwang G, Ko D, Yoon J (2025)
  Math. Models Methods Appl. Sci. 35(2): 345–401
  DOI
• $L^{q}$ estimates for nonlocal $p$-Laplacian type equations with BMO kernel coefficients in divergence form
  Byun SS, Kim K (2025)
  Commun. Contemp. Math. 27(09), Article No. 2550012
  arXiv | DOI
• Global Calderón-Zygmund theory for fractional Laplacian type equations
  Byun SS, Kim K, Kumar D (2025)
  J. Differ. Equ. 436, Article No. 113319
  arXiv | DOI
• Nonlinear nonlocal equations in Reifenberg flat domains
  Byun SS, Kim K, Song K (2025)
  arXiv:2508.12595.
  arXiv | DOI
• THINNs: Thermodynamically Informed Neural Networks
  Castro J, Gess B (2025)
  arXiv:2509.19467.
  arXiv | DOI
• Higher differentiability for the fractional $p$-Laplacian
  Diening L, Kim K, Lee HS, Nowak S (2025)
  Math. Ann. 391: 5631–5693
  PUB | arXiv | DOI
• Gradient estimates for parabolic nonlinear nonlocal equations
  Diening L, Kim K, Lee HS, Nowak SN (2025)
  Calc. Var. Partial Differ. Equ. 64, Article No. 98
  PUB | arXiv | DOI
• Nonlinear nonlocal potential theory at the gradient level
  Diening L, Kim K, Lee HS, Nowak SN (2025)
  J. Eur. Math. Soc.
  PUB | arXiv | DOI
• Random dynamical systems for McKean–Vlasov SDEs via rough path theory
  Gess B, Gvalani RS., Hu S (2025)
  arXiv:2507.02449.
  arXiv | DOI
• Norm inflation for the Zakharov system
  Grube F (2025)
  Communications on Pure and Applied Analysis.
  PUB | DOI | WoS | arXiv
• The inhomogeneous fractional Dirichlet problem
  Grube F (2025)
  arXiv:2510.01055.
  PUB | arXiv
• Robust nonlocal trace and extension theorems
  Grube F, Kaßmann M (2025)
  Analysis & PDE 18(10): 2367–2414.
  PUB | DOI | WoS | arXiv | Preprint
• Strong solutions to degenerate SDEs and uniqueness for degenerate Fokker–Planck equations
  Grube S (2025)
  Stoch. Partial Differ. Equ.: Anal. Comput.
  DOI
• Global well-posedness of the cubic nonlinear Schrödinger equation on $\mathbb{T}^{2}$
  Herr S, Kwak B (2025)
  arXiv:2502.17073.
  PUB | arXiv | DOI
• On well-posedness of Benjamin-Ono type equations
  Jöckel N (2025)
  Bielefeld: Universität Bielefeld.
  PUB | PDF | DOI
• Gradient estimates for nonlinear kinetic Fokker-Planck equations
  Kim K, Lee HS, Nowak SN (2025)
  arXiv:2502.09366.
  PUB | arXiv | DOI
• Local Hölder regularity for nonlocal porous media and fast diffusion equations with general kernel
  Kim K, Lee HS, Prasad H (2025)
  arXiv:2504.15735.
  arXiv | DOI
• Logarithmic continuity for the nonlocal degenerate two-phase Stefan problem
  Kim K, Lee HS, Prasad H (2025+)
  To appear in SIAM J. Math. Anal.
  arXiv | DOI
• Optimal Hölder regularity for solutions to Signorini-type obstacle problems
  Lee K-A, Lee S-C, Schefer W (2025)
  arXiv:2501.16179.
  PUB | arXiv
• A new Berry-Esseen-type estimate in the free central limit theorem
  Neufeld L (2025)
  arXiv:2503.23403.
  arXiv | DOI
• Self-normalized Sums in Free Probability Theory
  Neufeld L (2025)
  Electron. J. Probab. 30: 96.
  PUB | PDF | DOI | WoS | arXiv
• Weighted and Self-normalized Sums in Free Probability Theory
  Neufeld L (2025)
  Bielefeld: Universität Bielefeld.
  PUB | PDF | DOI
• On the domains of first order differential operators on the Sierpiński gasket
  Schefer W (2025)
  arXiv:2506.08679.
  PUB | arXiv
• Probabilistic approaches to the energy equality in forced surface Quasi-Geostrophic equations
  Wang L, Wu Z (2025)
  Stoch. Partial Differ. Equ.: Anal. Comput.
  arXiv | DOI