Publications and Preprints of doctoral students

2020

  • Chengcheng Ling, Longjie Xie
    Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces
    Link to Preprint
  • Yongguen Cho, Seokchang Hong
    Almost critical regularity of non-abelian Chern-Simons-Higgs system in the Lorenz gauge
    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
  • Shinya Kinoshita, Robert Schippa
    Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation
    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
  • 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
    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
  • Robert Schippa
    On shorttime bilinear Strichartz estimates and applications to improve the energy method
    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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