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Durham University

Email and Telephone Directory

Staff Profile

Ostap Hryniv, PhD Moscow State University

Course Director Other Programmes, Associate Professor, Probability in the Department of Mathematical Sciences

Contact Ostap Hryniv (email at ostap.hryniv@durham.ac.uk)

Research Groups

Department of Mathematical Sciences

  • Applied Mathematics: Biomathematics
  • Probability & Statistics: Probability
  • Probability and Statistics

Research Interests

  • Probability and stochastic processes
  • Phase transitions
  • Interacting particle systems
  • Large deviations

Publications

Journal Article

  • Chernousova, Elena, Hryniv, Ostap & Molchanov, Stanislav (2019). Population model with immigration in continuous space. Mathematical Population Studies
  • Hryniv, Ostap & Martínez Esteban, Antonio (2017). Stochastic Model of Microtubule Dynamics. Journal of Statistical Physics 169(1): 203-222.
  • Hryniv, Ostap, Menshikov, Mikhail V. & Wade, Andrew R. (2013). Excursions and path functionals for stochastic processes with asymptotically zero drifts. Stochastic Processes and their Applications 123(6): 1891-1921.
  • Hryniv, Ostap, Menshikov, Mikhail V. & Wade, Andrew R. (2013). Random walk in mixed random environment without uniform ellipticity. Proceedings of the Steklov Institute of Mathematics 282(1): 106-123.
  • Hryniv, Ostap, MacPhee, Iain M. , Menshikov, Mikhail V. & Wade, Andrew R. (2012). Non-homogeneous random walks with non-integrable increments and heavy-tailed random walks on strips. Electronic Journal of Probability 17: 59, 1-28.
  • Hryniv, Ostap (2012). Regular phase in a model of microtubule growth. Markov Processes and Related Fields 18(2): 177-200.
  • Hryniv, O. & Menshikov, M. (2010). Long-time behaviour in a model of microtubule growth. Advances in Applied Probability 42(1): 268–291.
  • Cranston, M., Hryniv, O. & Molchanov, S. (2009). Homo- and Hetero-Polymers in the Mean-Field Approximation. Markov Processes and Related Fields 15(2): 205-224.
  • Hryniv, O. & Velenik, Y. (2009). Some rigorous results on semiflexible polymers, I: Free and confined polymers. Stochastic Processes and their Applications 119(10): 3081-3100.
  • Bovier, Anton, Cerny, Jiri & Hryniv, Ostap (2006). The Opinion Game: Stock price evolution from microscopic market modelling. International Journal of Theoretical and Applied Finance 9(1): 91--111.
  • Hryniv, O. & Ioffe, D. (2004). Self-avoiding polygons: sharp asymptotics of canonical partition functions under the fixed area constraint. Markov Processes and Related Fields 10(1): 1-64.
  • Hryniv, O. & Velenik, Y. (2004). Universality of critical behaviour in a class of recurrent random walks. Probability Theory and Related Fields 130(2): 222-258.
  • Ben Arous, G. Hryniv, O. & Molchanov, S. (2002). Phase transition for the spherical hierarchical model. Markov Processes and Related Fields 8(4): 565-594.
  • Hryniv, Ostap & Kotecký, Roman (2002). Surface tension and the Ornstein-Zernike behaviour for the 2D Blume-Capel model. Journal of Statististical Physics 106(3-4): 431-476.
  • Hryniv, Ostap (1998). On conditional invariance principle for random walks. Mat. Stud 9(1): 102-109, 112.
  • Hryniv, Ostap (1998). On local behaviour of the phase separation line in the 2D Ising model. Probability Theory and Related Fields 110(1): 91-107.
  • Dobrushin, R. & Hryniv, O. (1997). Fluctuations of the phase boundary in the 2D Ising ferromagnet. Communications in Mathematical Physics 189(2): 395-445.
  • Dobrushin, R. & Hryniv, O. (1996). Fluctuations of shapes of large areas under paths of random walks. Probability Theory and Related Fields 105(4): 423-458.
  • Hryniv, O. O. & Dobrushin, R. L. (1995). On fluctuations of the Wulff shape in the two-dimensional Ising model. Uspekhi Matematicheskikh Nauk 50(6(306): 177-178.
  • Hryniv, O. O. (1991). A central limit theorem for the Burgers equation. Teoreticheskaya i Matematicheskaya Fizika 88(1): 7-13.

Supervises