Sebastian Herr, Beomjong Kwak Strichartz estimates and global well-posedness of the cubic NLS on $\mathbb{T}^2$ Link to Preprint
2022
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
2021
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
2020
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
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
2019
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
ChengchengLing, 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
AnnaMuranova 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
2018
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
2017
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
