Searching for the regular in the irregular: Analysis of singular and random systems
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Table of Contents
PhD theses of IRTG doctoral students
Bielefeld
Korea
PhD theses of IRTG doctoral students
Bielefeld
Anna Gusakova:
Application of Probability Methods in Number Theory and Integral Geometry
(2018)
Robert Schippa:
Short-time Fourier transform restriction phenomena and applications to nonlinear dispersive equations
(2019)
Peter Kuchling:
Analysis and Dynamics on the Cone of Discrete Radon Measures
(2019)
Adam Mielke:
On the Role of Zero Modes and Spacing Distributions in Random Matrix Theory and its Applications
(2019)
Chengcheng Ling
Stochastic differential equations with singular drifts and multiplicative noises
(2019)
Anna Muranova:
On the Notion of Effective Impedance for Finite and Infinite Networks
(2020)
Andre Schenke:
Regularisation and Long-Time Behaviour of Random Systems
(2020)
Melissa Meinert:
Partial differential equations on fractals. Existence, Uniqueness and Approximation results
(2020)
Jonas Jalowy:
Rate of convergence for non-Hermitian random matrices and their products
(2020)
Filip Bosnic
Models of degenerate random conductances with stable-like jumps
(2020)
Guy Fabrice Foghem Gounoue:
L^2-Theory for nonlocal operators on domains
(2020)
Marco Rehmeier:
Nonuniqueness of Laws on State and Path Space: Flow Selections and Superposition for Fokker--Planck--Kolmogorov Equations and Convex Integration for Stochastic Hypodissipative Navier--Stokes Equations
(2021)
Siyu Liang:
Stochastic hypodissipative hydrodynamic equations: well-posedness, stationary solutions and ergodicity
(2021)
Markus Ebke:
Universal Scaling Limits of the Symplectic Elliptic Ginibre Ensemble
(2022)
Shayan Alikhanloo:
Self-adjoint Laplacians and Symmetric Diffusions on Hyperbolic Attractors
(2022)
Marvin Weidner:
Energy methods for nonsymmetric nonlocal operators
(2022)
Akansha Sanwal:
Low regularity local well-posedness for the Zakharov system and KP-I type equations
(2022)
Jörn Kommer:
A tensor product approach to non-local differential complexes
(2023)
Sebastian Grube:
Strong solutions to McKean–Vlasov stochastic differential equations with coefficients of Nemytskii-type
(2023)
Thorben Hensiek:
Exterior value problems for integro-differential operators
(2024)
Waldemar Schefer:
First Order Differential Operators and Equations of Continuity and Transport-Type on metric Graphs and Fractals
(2024)
Zhengyan Wu:
Large Deviations and Higher Order Fluctuation Expansions for Conservative Stochastic PDEs
(2024)
Leonie Neufeld:
Weighted and Self-normalized Sums in Free Probability Theory
(2025)
Niklas Jöckel:
On well-posedness of Benjamin-Ono type equations
(2025)
Korea
Changhun Yang:
On the small data scattering problem for the fractional Schrödinger equation with cubic Hatree-type nonlinearity
Seunghyun Kang:
Uniqueness problems of diffusion operators on Euclidean space and on abstract Wiener space
Jeongho Kim:
On the fluid coupling and hydrodynamic limit of the kinetic thermomechanical Cucker-Smale equation
Jinwook Jung:
On the quantitative analysis for the random Cucker-Smale model
Minhyun Kim:
Regularity theory for nonlocal operators
Jaehun Lee:
Heat kernel estimates for jump processes with application
Sungsoo Byun:
Conformal field theory and Schramm Loewner evolution in a doubly connected domain
Kihyun Kim:
Blow-up dynamics for the self-dual Chern-Simons-Schrödinger equation
Seokchang Hong
Cauchy problems for nonlinear wave equations with low regularity data
Ho-Sik Lee:
Calderón-Zygmund estimates for elliptic equations with nonstandard growth
Soobin Cho:
Estimates of heat kernels for jump processes with degeneracy and critical killing
Myeongju Kang:
On the emerging asymptotic patterns of the Winfree model
Jongmyeong Kim:
Aleksandrov-Bakelman-Pucci estimate for nonlocal partial differential equation on manifold
Jaeyoung Yoon:
Some mathematical problems for the Winfree model with higher-order couplings
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