Publications and Preprints of doctoral students

2020

  • 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
  • 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
    Link to Preprint
  • Anna Muranova
    The effective impedances of infinite ladder networks and Dirichlet problem on graphs
    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 Preprint
  • Robert Schippa
    On short-time bilinear Strichartz estimates and applications to the Shrira equation
    Published: Nonlinear Analysis Link to Preprint

2019

  • Gernot Akemann, Sungsoo Byun
    he 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
    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
  • 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
    On the effective impedance of finite and infinite networks
    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 Preprint
  • 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
  • Minhyun Kim, Panki Kim, Jaehun Lee, Ki-Ahm Lee
    Boundary regularity for nonlocal operators with kernels of variable orders
    to appear in Journal of Functional Analysis
    Link to Preprint
  • Minhyun Kim, K.-A. Lee
    Regularity for fully nonlinear integro-differential operators with kernels of variable orders
    to appear in Nonlinear Anal.
  • 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 Preprint
  • Robert Schippa
    Generalized inhomogeneous Strichartz estimates
    Discrete and Continuous Dynamical Systems - Series A
    Link to Preprint

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