Publications and Preprints of doctoral students

2019

  • 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, Seung-Yeal Ha, Jinwook Jung, Jeongho Kim
    Global dynamics of the thermomechanical Cucker-Smale ensemble immersed in incompressible viscous fluids
    Nonlinearity
  • Changhun Yang
    Scattering results for Dirac Hartree-type equations with small initial data
    Link to Preprint
  • Seung-Yeal Ha, Jinwook Jung, Michael Röckner
    Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communications
    Link to Preprint
  • Young-Pil Choi, Jinwook Jung
    Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity
    Link to Preprint
  • Michael Hinz, Melissa Meinert
    On the viscous Burgers equation on metric graphs and fractals
    to appear in J. Fractal Geometry (2019+)
    Link to Preprint
  • Michael Hinz, Dorina Koch, Melissa Meinert
    Sobolev spaces and calculus of variations on fractals
    to appear in the proceedings of the 6th Cornell Conference on Analysis, Probability and Mathematical Physics on Fractals (2019+)
    Link to Preprint
  • Seung-Yeal Ha, Jinwook Jung, Peter Kuchling
    Emergence of anomalous flocking in the fractional Cucker-Smale model
    to appear in Discrete and Continuous Dynamical Systems-A
  • Marco Rehmeier
    Existence of flows for linear Fokker-Planck-Kolmogorov equations and its connection to well-posednes
    Link to Preprint
  • Friedrich Götze, Anna Gusakova
    On the distribution of Salem numbers
    Link to Preprint
  • Robert Schippa
    On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations
    Link to Preprint
  • Mario Kieburg, Adam Mielke, K. Splittorff
    Universal Broadening of Zero Modes: A General Framework and Identification
    Physical Review E
    Link to Preprint
  • Robert Schippa
    On Strichartz estimates from decoupling and applications
    Link to Preprint

2018

  • Friedrich Götze, Anna Gusakova, Zakhar Kabluchko, Dmitry Zaporozhets
    Distribution of complex algebraic numbers on the unit circle
    Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov (POMI) (2018),
    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,
  • Kihyun Kim, Soonsik Kwon
    Scattering for Defocusing generalized Benjamin-Ono Equation in the Energy Space
    Link to Preprint
  • Marco Rehmeier
    On Cherny's results in infinite dimensions: A theorem dual to Yamada-Watanabe
    Link to Preprint
  • Gernot Akemann, Sung-Soo Byun
    The high temperature crossover for general 2D Coulomb gases
    Link to Preprint
  • Gernot Akemann, Mario Kieburg, Adam Mielke, Pedro Vidal
    Preserving Topology while Breaking Chirality: From Chiral Orthogonal to Anti-symmetric Hermitian Ensemble
    Link to Preprint
  • 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
  • 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, Ki-Ahm Lee
    Boundary regularity for nonlocal operators with kernels of variable orders \\to appear in Nonlinear Anal.
    Link to Preprint
  • Panki Kim, Jaehun Lee
    Regularity for fully nonlinear integro-differential operators with kernels of variable orders
    Stochastic Processes and their Applications
    Link to Preprint
  • 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
  • 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 (2018)
    Link to Publication
  • Friedrich Götze, Jonas Jalowy
    Rate of Convergence to the Circular Law via Smoothing Inequalities for Log-Potentials
    Link to Preprint
  • 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 (2018)
    Link to Publication
  • Sebastian Herr, Changhun Yang
    Critical well-posedness and scattering results for fractional Hartree-type equations
    Differential Integral Equations (2018), Volume 31, Number 9/10, 701-714.
    Link to Preprint
  • Michael Hinz, Seunghyun Kang
    Capacities, removable sets and L^p-uniqueness on Wiener spaces
    Link to Preprint
  • Robert Schippa
    On shorttime bilinear Strichartz estimates and applications to improve the energy method
    Link to Preprint

2017

  • Vasili Bernik, Friedrich Götze, Anna Gusakova
    On distribution of points with algebraically conjugate coordinates in neighborhood of smooth curves
    Journal of Mathematical Sciences (2017), Vol. 224, No. 2
    Link to Preprint
  • Vasili Bernik, Friedrich Götze, Anna Gusakova
    On distribution of points with conjugate algebraic integer coordinates close to planar curves
    Link to Preprint
  • Friedrich Götze, Anna Gusakova
    On algebraic integers in short intervals and near smooth curves
    Acta Arithmetica 179 (2017), no. 3, PP. 251–265.
    Link to Preprint
  • Friedrich Götze, Anna Gusakova, Dmitry Zaporozhets
    Random affine simplexes
    Link to Preprint
  • Michael Hinz, Seunghyun Kang, Jun Masamune
    Probabilistic characterizations of essential self-adjointness and removability of singularities
    Mat. Fiz. Kompʹyut. Model. (2017)
    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 (2017) Vol. 37, No. 6, pp. 3387-3410.
    Link to Preprint
  • Robert Schippa
    On the existence of periodic solutions to the modified Korteweg-de Vries equation
    Link to Preprint
  • Robert Schippa
    Sharp Strichartz estimates in spherical coordinates
    Communications on Pure and Applied Analysis (2017) Vol. 16, No. 6, pp. 2047-2051.
    Link to Preprint

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