Publications and Preprints of doctoral students

Moritz Kassmann, Solveig Hepp
The divergence theorem and nonlocal counterparts
Link to Publication

Sebastian Herr, Beomjong Kwak
Strichartz estimates and global well-posedness of the cubic NLS on $\mathbb{T}^2$
Link to Preprint

Florian Grube, Thorben Hensiek
Maximum principle for stable operators
Link to Preprint

Sebastian Grube
Strong solutions to McKean-Vlasov SDEs with coefficients of Nemytskii-type: the time-dependent case
Link to Preprint

Jamil Chaker, Minhyun Kim
Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Link to Publication

Jamil Chaker, Minhyun Kim, Marvin Weidner
Harnack inequality for nonlocal problems with non-standard growth
Link to Publication

Minhyun Kim, Ki-Ahm Lee, Se-Chan Lee
The Wiener criterion for nonlocal Dirichlet problems
Link to Preprint

Haesung Lee, Wilhelm Stannat, Gerald Trutnau
Analytic theory of Itˆo-stochastic differential equa- tions with non-smooth coefficients
Link to Book publication

Anna Kh. Balci, Sun-Sig Byun, Lars Diening, Ho-Sik Lee
Global Maximal Regularity for Equations with Degenerate Weights
Link to Preprint

Zhengyan Wu, Rangrang Zhang
Large Deviations For Dean-Kawasaki Equation With Singular Non-Local Interactions
Link to Preprint

Likun Wang, Zhengyan Wu, Rangrang Zhang
Dean-Kawasaki Equation With Singular Non-local Interactions And Correlated Noise
Link to Preprint

Sungsoo Byun, Markus Ebke, Seong-Mi Seo
Wronskian structures of planar symplectic ensembles
Nonlinearity, Volume 36, Number 2, Pages 809-844 (2023) Link to Article

Cho, Yonggeun, Seokchang Hong
Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge
Link to Article

Sung-Soo Byun, Markus Ebke
Universal scaling limits of the symplectic elliptic Ginibre ensemble
Random Matrices: Theory and Applications, Volume 12, Issue 01, Article No. 2250047 (2023) Link to Article

Sung-Soo Byun, Seung-Yeop Lee, Meng Yang
Lemniscate ensembles with spectral singularity
Link to Preprint

Sung-Soo Byun, Nam-Gyu Kang, Ji Oon Lee, Jinyeop Lee
Real eigenvalues of elliptic random matrices
Link to Preprint

Sung-Soo Byun, Yacin Ameur
Almost-Hermitian random matrices and bandlimited point processes
Link to Preprint

Gernot Akemann, Sung-Soo Byun, Nam-Gyu Kang
Scaling limits of planar symplectic ensembles
Link to Preprint

Minhyun Kim, Ki-Ahm Lee
Generalized Evans–Krylov and Schauder type estimates for nonlocal fully nonlinear equations with rough kernels of variable orders
Link to Publication

Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee
Harnack inequality for nonlocal operators on manifolds with nonnegative curvature
Link to Publication

Jamil Chaker, Minhyun Kim, Marvin Weidner
The concentration-compactness principle for the nonlocal anisotropic p-Laplacian of mixed order
Link to Preprint

Jamil Chaker, Minhyun Kim
Local regularity for nonlocal equations with variable exponents
Link to Preprint

Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee
Harnack inequality for fractional Laplacian-type operators on hyperbolic spaces
Link to Preprint

Moritz Kassmann, Minhyun Kim, Ki-Ahm Lee
Robust near-diagonal Green function estimates
Link to Preprint

Minhyun Kim, Taehun Lee
The discrete logarithmic Minkowski problem for the electrostatic p-capacity
Link to Preprint

Jamil Chaker, Minhyun Kim, Marvin Weidner
Regularity for nonlocal problems with non-standard growth
Link to Preprint

Sun-Sig Byun, Ho-Sik Lee
Calderón-Zygmund estimates for elliptic double phase problems with variable exponents
Link to Article

Sun-Sig Byun, Namkyeong Cho, Ho-Sik Lee
Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures
Link to Article

Sun-Sig Byun, Ho-Sik Lee
Gradient Estimates of ω-Minimizers to Double Phase Variational Problems with Variable Exponents
Link to Article

Sumiya Baasandorj, Sun-Sig Byun, Ho-Sik Lee
Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth
Link to Article

Sebastian Grube
Strong solutions to McKean-Vlasov SDEs with coefficients of Nemytskii-type
Link to Preprint

Shayan Alikhanloo, Michael Hinz
Self-adjoint Laplacians on partially and generalized hyperbolic attractors
Link to Preprint

Marco Rehmeier, Andre Schenke
Nonuniqueness in law for stochastic hypodissipative Navier–Stokes equations
Link to Preprint

Gernot Akemann, Markus Ebke, Iván Parra
Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels
Published in Communications of Mathematical Physics Link to Article

Guy Fabrice Foghem Gounoue
A Remake on the Bourgain-Brezis-Mironescu Characterization of Sobolev Spaces
Link to Preprint

Shayan Alikhanloo, Michael Hinz
SRB-symmetric diffusions on hyperbolic attractors
Link to Preprint

Kihyun Kim, Robert Schippa
Low regularity well-posedness for generalized Benjamin-Ono equations on the circle
Link to Journal

Minhyun Kim, K.-A. Lee
Regularity for fully nonlinear integro-differential operators with kernels of variable orders
Link to Publication

Michael Hinz, Melissa Meinert
Approximation of partial differential equations on compact resistance spaces
Link to Preprint

Gernot Akemann, Sung-Soo Byun, Nam-Gyu Kang
A non-hermitian generalisation of Marchenko-Pastur distribution: From the circular law to multi-criticality
Link to Preprint

Yongguen Cho, Seokchang Hong
Almost critical regularity of non-abelian Chern-Simons-Higgs system in the Lorenz gauge
Link to Preprint

Seokchang Hong
On the scaling critical regularity of the Yang-Mills-Higgs and the Yang-Mills-Dirac system in the Lorenz gauge
Link to Preprint

Seokchang Hong
On the scaling critical regularity of the Yang-Mills system in the Lorenz gauge
Link to Preprint

Sung-Yeal Ha, Shi Jin, Jinwook Jung
Local sensitivity analysis for the Kuramoto-Daido model with random inputs in a large coupling regime
to appear: SIAM Journal on Mathematical Analysis

Dohyun Kim, Jeongho Kim
Stochastic Lohe matrix model on the Lie group and mean-field limit
Published: J. Stat. Phys. Link to Paper

Kihyun Kim, Soonsik Kwon
Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation
Link to Preprint

Kihyun Kim, Soonsik Kwon, Sung-Jin Oh
Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern-Simons-Schrödinger equation
Link to Preprint

Haesung Lee, Wilhelm Stannat, Gerald Trutnau
Analytic theory of Itô-stochastic differential equations with non-smooth coefficients
Link to Preprint

Haesung Lee, Gerald Trutnau
Well-Posedness for a Class of Degenerate Itô Stochastic Differential Equations with Fully Discontinuous Coefficients
Published: Symmetry and Advances in Stochastic Differential Equations Link to Paper

Sun-Sig Byun, Ho-Sik Lee
Calderón-Zygmund estimates for elliptic double phase problems with variable exponents
Published: Journal of Mathematical Analysis and Applications Link to Paper

Siyu Liang, Ping Zhang & Rongchan Zhu
Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations
Link to Paper

Chengcheng Ling, Longjie Xie
Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces
Link to Preprint

Michael Hinz, Dorina Koch, Melissa Meinert
Sobolev spaces and calculus of variations on fractals
Published: Probability and Mathematical Physics on Fractals
Link to Preprint

Mario Kieburg, Adam Mielke, M. Rud, K. Splittorff
Universal distributions from non-Hermitian Perturbation of Zero-Modes
Published: Physical Review E Link to Preprint

Gernot Akemann, Michael Baake, Nayden Chakarov, Oliver Krüger, Adam Mielke, Meinolf Ottensmann, Rebecca Werdehausen
Territorial behaviour of buzzards versus random matrix spacing distributions
Published: Journal of Theoretical Biology Link to Article

Anna Muranova
The effective impedances of infinite ladder networks and Dirichlet problem on graphs
Link to Preprint

Marco Rehmeier
Linearization and a superposition principle for deterministic and stochastic nonlinear Fokker-Planck-Kolmogorov equations
Link to Preprint

Andre Schenke
The Stochastic Tamed MHD Equations – Existence, Uniqueness and Invariant Measures
Link to Preprint

Andre Schenke
The Tamed MHD Equations
Published: Journal of Evolution Equations

Shinya Kinoshita, Robert Schippa
Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation
Link to Journal

Robert Schippa
On short-time bilinear Strichartz estimates and applications to the Shrira equation
Published: Nonlinear Analysis Link to Preprint

Gernot Akemann, Sung-Soo Byun
The high temperature crossover for general 2D Coulomb gases
Journal of Statistical Physics Link to doi journal

Soobin Cho, Panki Kim
Estimates on the tail probabilities of subordinators and applications to general time fractional equations
Link to Preprint

Soobin Cho, Panki Kim
Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders
Link to Preprint

Guy Fabrice Foghem Gounoue, Moritz Kassmann, Paul Voigt
Mosco convergence of nonlocal to local quadratic forms
Published: Nonl. Anal., Link to Preprint

Friedrich Götze, Anna Gusakova
On the distribution of Salem numbers
Link to Preprint

Friedrich Götze, Anna Gusakova, Dmitry Zaporozhets
Random affine simplexes
Published: Journal of Applied Probability
Link to Preprint

Seokchang Hong, Kiyeon Lee
Almost Optimal Local Well-Posedness of the Chern-Simons-Dirac System in the Coulomb Gauge
Link to Preprint

Yonggeun Cho, Seokchang Hong, Kiyeon Lee
On the GWP of focusing energy-ciritical inhomogeneous NLS
Link to Preprint

Yonggeun Cho, Seokchang Hong
Well-posedness in a critical space of Chern-Simons-Dirac system in the Lorenz gauge
Link to Preprint

Jonas Jalowy
Rate of Convergence for products of independent non-Hermitian random matrices
Link to Preprint

Sung-Yeal Ha, Shi Jin, Jinwook Jung, Woojoo Shim
A local sensitivity analysis for the hydrodynamic Cucker-Smale model with random inputs
Journal of Differential Equations
Link to Preprint

Sung-Yeal Ha, Shi Jin, Jinwook Jung
A local sensitivity analysis for the kinetic Kuramoto equation with random inputs
Networks and Heterogeneous Media

Young-Pil Choi, Jinwook Jung
Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity
to appear in proceedings of HYP 2018
Link to Preprint

Young-Pil Choi, Jinwook Jung
Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a bounded domain
Link to Preprint

Seung-Yeal Ha, Jinwook Jung, Michael Röckner
Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communications
accepted in Journal of Differential Equations
Link to Preprint

Seung-Yeal Ha, Jinwook Jung, Peter Kuchling
Emergence of anomalous flocking in the fractional Cucker-Smale model, Discrete and Continuous Dynamical Systems-A
Link to Preprint

Jiu-Gang Dong, Seung-Yeal Ha, Jinwook Jung, Doheon Kim
Emergence of stochastic flocking for the discrete Cucker-Smale model with randomly switching topologies
Link to Preprint

Seung-Yeal Ha, Jinwook Jung, Jeongho Kim, Jinyeong Park, Xiongtao Zhang
Emergent behaviors of the swarmalator model for position-phase aggregation
to appear in Math. Models Methods Appl. Sci.

Young-Pil Choi, Seung-Yeal Ha, Jinwook Jung, Jeongho Kim
On the coupling of kinetic thermomechanical Cucker-Smale equation and compressible viscous fluid system
to appear in J. Math. Fluid Mech.
Link to Publication

Jiu-Gang Dong, Seung-Yeal Ha, Jinwook Jung, Doheon Kim
On the stochastic flocking of the Cucker-Smale flock with randomly switching topologies
Link to Preprint

Joohak Bae, Jaehoon Kang, Panki Kim, Jaehun Lee
Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces
Link to Preprint

Seung-Yeal Ha, Jeongho Kim, P. Pickl, Xiongtao Zhang
A Probabilistic approach for kinetic Cucker-Smale model with singular communication
to appear in Kinetic and Related Models

Seung-Yeal Ha, Jeongho Kim, Jinyeong Park, Xiongtao Zhang
Complete Cluster Predictability of the Cucker–Smale Flocking Model on the Real Line
Archive for Rational Mechanics and Analysis
Link to Publication

M.-J. Kang, Seung-Yeal Ha, Jeongho Kim, W. Shim
Hydrodynamic limit of the kinetic thermomechanical Cucker-Smale model in a strong local alignment regime
to appear in Commun. Pure Appl. Anal.

Seung-Yeal Ha, Jeongho Kim, Peter Kuchling, Oleksandr Kutovyi
Infinite particle systems with collective behaviour and related mesoscopic equations
Published: Journal of Mathematical Physics
Link to Publication

Hyeong-Ohk Bae, Seung-Yeal Ha, Jeongho Kim, D. Ko, S. Son
Flocking behaviors of a Cucker-Smale ensemble in a cylindrical domain
to appear in SIAM Journal on Mathematical Analysis

Jiu-Gang Dong, Seung-Yeal Ha, Doheon Kim, Jeongho Kim
Time-delay effect on the flocking in an ensemble of thermomechanical Cucker–Smale particles
Journal of Differential Equations
Link to Publication

Seung-Yeal Ha, Jeongho Kim, Chan Ho Min, Tommaso Ruggeri, Xiongtao Zhang
Uniform stability and mean-field limit of a thermodynamic Cucker-Smale model
Quart. Appl. Math.

Kihyun Kim, Soonsik Kwon
On pseudoconformal blow-up solutions to the self-dual Chern-Simons-Schrödinger equation: existence, uniqueness, and instability
Link to Preprint

Kihyun Kim, Soonsik Kwon
Scattering for Defocusing generalized Benjamin-Ono Equation in the Energy Space
Trans. Am. Math. Soc.
Link to Preprint

Minhyun Kim, Panki Kim, Jaehun Lee, Ki-Ahm Lee
Boundary regularity for nonlocal operators with kernels of variable orders
Link to Publication

Haesung Lee, Gerald Trutnau
Well-posedness for a class of degenerate Itô-SDEs with fully discontinuous coefficients
Link to Preprint

Chengcheng Ling, Guohuan Zhao
Nonlocal elliptic equation in Hölder space and the martingale problem
Link to Preprint

Chengcheng Ling, Michael Röckner, Xiangchan Zhu
SDEs with singular drifts and multiplicative noise on general space-time domains
Link to Preprint

Michael Hinz, Melissa Meinert
On the viscous Burgers equation on metric graphs and fractals
to appear in J. Fractal Geometry
Link to Preprint

Gernot Akemann, Mario Kieburg, Adam Mielke, Pedro Vidal
Preserving Topology while Breaking Chirality: From Chiral Orthogonal to Anti-symmetric Hermitian Ensemble
Published: J. Stat.Mech. 023102
Link to Preprint

Mario Kieburg, Adam Mielke, K. Splittorff
Universal Broadening of Zero Modes: A General Framework and Identification
Published: Physical Review E
Link to Preprint

Mario Kieburg, Adam Mielke, M. Rud, K. Splittorff
Universal distributions from non-Hermitian Perturbation of Zero-Modes
Link to Preprint

Gernot Akemann, Mario Kieburg, Adam Mielke, Tomaz Prosen
Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
Published: Physical Review Letters
Link to Preprint

Anna Muranova
Effective Impedance over Ordered Fields
Link to Preprint

Anna Muranova
On the effective impedance of finite and infinite networks
Link to Preprint

Anna Muranova
On the notion of effective impedance
Link to Preprint

Marco Rehmeier
Existence of flows for linear Fokker-Planck-Kolmogorov equations and its connection to well-posednes
to appear in Journal of Evolution Equations
Link to Preprint

Benjamin Gess, Wei Liu, Andre Schenke
Random attractors for locally monotone stochastic partial differential equations
Journal of Differential Equations Link to Publication

Robert Schippa
Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle
Published: Nonlinear Analysis
Link to Publication

Robert Schippa
On Strichartz estimates from decoupling and applications
to appear in Proceedings volume of Conference on Mathematics of Wave Phenomena 2018
Link to Preprint

Robert Schippa
On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations
Link to Journal

Robert Schippa
On the existence of periodic solutions to the modified Korteweg-de Vries equation below H1/2(T)
Published: Journal of Evolution Equations Link to Preprint

Jamil Chaker, Moritz Kassmann, Marvin Weidner
Robust Hölder Estimates for Parabolic Nonlocal Operators
Link to Preprint

Changhun Yang
Scattering results for Dirac Hartree-type equations with small initial data
Communications on Pure and Applied Analysis
Link to Preprint

Changhun Yang
Small data scattering of semirelativistic Hartree equation
Nonlinear Anal.

Y. Hong, Changhun Yang
Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit
SIAM J. Math. Anal.

Y. Hong, Changhun Yang
Uniform Strichartz estimates on the lattice
Discrete & Continuous Dynamical Systems - A

Sung-Soo Byun, Nam-Gyu Kang, Hee-Joon Tak
Annulus SLE partition functions and martingale-observables
Link to Preprint

Sung-Soo Byun, Jaehun Lee, Tulasi Ram Reddy
Zeros of random polynomials and its higher derivatives
Link to Preprint

Friedrich Götze, Anna Gusakova, Zakhar Kabluchko, Dmitry Zaporozhets
Distribution of complex algebraic numbers on the unit circle
Published: Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov (POMI)
Link to Preprint

Friedrich Götze, Jonas Jalowy
Rate of Convergence to the Circular Law via Smoothing Inequalities for Log-Potentials
Link to Preprint

Seung-Yeal Ha, Shi Jin, Jinwook Jung
A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs
Journal of Differential Equations

Joohak Bae, Jaehoon Kang, Panki Kim, Jaehun Lee
Heat kernel estimates for symmetric jump processes with mixed polynomial growths
to appear in Annals of Probability
Link to Preprint

Michael Hinz, Seunghyun Kang
Capacities, removable sets and L^p-uniqueness on Wiener spaces
Link to Preprint

Seung-Yeal Ha, Jeongho Kim, Chanho Min, Tommaso Ruggeri, Xiongtao Zhang
A global existence of classical solutions to the hydrodynamic Cucker-Smale model in presence of a temperature field
Analysis and Applications

Jeongho Kim, Jan Peszek
Cucker-Smale model with a bonding force and a singular interaction kernel
Link to Preprint

Seung-Yeal Ha, Jeongho Kim, Jinyeong Park, Xiongtao Zhang
Uniform stability and mean-field limit for the augmented Kuramoto model
Networks and Heterogeneous Media

Panki Kim, Jaehun Lee
Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel
Stochastic Processes and their Applications
Link to Preprint

Marco Rehmeier
On Cherny's results in infinite dimensions: A theorem dual to Yamada-Watanabe
to appear in Stochastics and Partial Differential Equations: Analysis and Computations
Link to Preprint

Sebastian Herr, Changhun Yang
Critical well-posedness and scattering results for fractional Hartree-type equations
Differential Integral Equations
Link to Preprint

Yonggeun Cho, Gyeongha Hwang, Changhun Yang
On the modified scattering of 3-d Hartree type fractional Schrödinger equations with Coulomb potential
Adv. Differential Equations

Vasili Bernik, Friedrich Götze, Anna Gusakova
On distribution of points with conjugate algebraic integer coordinates close to planar curves
Link to Preprint

Michael Hinz, Seunghyun Kang, Jun Masamune
Probabilistic characterizations of essential self-adjointness and removability of singularities
Mat. Fiz. Kompʹyut. Model.
Link to Preprint

Robert Schippa
On a priori estimates and existence of periodic solutions to the modified Benjamin-Ono equation below H^{1/2}(\mathbb{T})
Link to Journal

Robert Schippa
Generalized inhomogeneous Strichartz estimates
Discrete and Continuous Dynamical Systems - Series A
Link to Preprint