Staff profile

• probability and stochastic processes
• phase transitions
• interacting particle systems
• large deviations

Chapter in book

• Random processes
  Cruise, R. J., Hryniv, O., & Wade, A. R. (2015). Random processes. In M. Grinfeld (Ed.), Mathematical Tools for Physicists (3-38). (2nd ed.). Wiley. https://doi.org/10.1002/3527600434.eap382.pub2

Conference Paper

• Phase separation and sharp large deviations
  Hryniv, O., & Wallace, C. (2020, December). Phase separation and sharp large deviations. Presented at XI international conference Stochastic and Analytic Methods in Mathematical Physics, Yerevan, Armenia

Journal Article

• Branching random walk in a random time-independent environment
  Chernousova, E., Hryniv, O., & Molchanov, S. (2023). Branching random walk in a random time-independent environment. Mathematical Population Studies, 30(2), 73-94. https://doi.org/10.1080/08898480.2022.2140561
• Steady states of lattice population models with immigration
  Chernousova, E., Feng, Y., Hryniv, O., Molchanov, S., & Whitmeyer, J. (2021). Steady states of lattice population models with immigration. Mathematical Population Studies, 28(2), 63-80. https://doi.org/10.1080/08898480.2020.1767411
• Population model with immigration in continuous space
  Chernousova, E., Hryniv, O., & Molchanov, S. (2020). Population model with immigration in continuous space. Mathematical Population Studies, 27(4), 199-215. https://doi.org/10.1080/08898480.2019.1626189
• Stochastic Model of Microtubule Dynamics
  Hryniv, O., & Martínez Esteban, A. (2017). Stochastic Model of Microtubule Dynamics. Journal of Statistical Physics, 169(1), 203-222. https://doi.org/10.1007/s10955-017-1855-2
• Random walk in mixed random environment without uniform ellipticity
  Hryniv, O., Menshikov, M. V., & Wade, A. R. (2013). Random walk in mixed random environment without uniform ellipticity. Proceedings of the Steklov Institute of Mathematics, 282(1), 106-123. https://doi.org/10.1134/s0081543813060102
• Excursions and path functionals for stochastic processes with asymptotically zero drifts
  Hryniv, O., Menshikov, M. V., & Wade, A. R. (2013). Excursions and path functionals for stochastic processes with asymptotically zero drifts. Stochastic Processes and their Applications, 123(6), 1891-1921. https://doi.org/10.1016/j.spa.2013.02.001
• Regular phase in a model of microtubule growth
  Hryniv, O. (2012). Regular phase in a model of microtubule growth. Markov processes and related fields, 18(2), 177-200
• Non-homogeneous random walks with non-integrable increments and heavy-tailed random walks on strips
  Hryniv, O., MacPhee, I. M., Menshikov, M. V., & Wade, A. R. (2012). Non-homogeneous random walks with non-integrable increments and heavy-tailed random walks on strips. Electronic Journal of Probability, 17, Article 59. https://doi.org/10.1214/ejp.v17-2216
• Long-time behaviour in a model of microtubule growth
  Hryniv, O., & Menshikov, M. (2010). Long-time behaviour in a model of microtubule growth. Advances in Applied Probability, 42(1), 268-291. https://doi.org/10.1239/aap/1269611153
• Some rigorous results on semiflexible polymers, I: Free and confined polymers
  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. https://doi.org/10.1016/j.spa.2009.04.002
• Homo- and Hetero-Polymers in the Mean-Field Approximation
  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
• The Opinion Game: Stock price evolution from microscopic market modelling
  Bovier, A., Cerny, J., & Hryniv, O. (2006). The Opinion Game: Stock price evolution from microscopic market modelling. International Journal of Theoretical and Applied Finance, 9(1), 91--111
• Universality of critical behaviour in a class of recurrent random walks
  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. https://doi.org/10.1007/s00440-004-0353-z
• Self-avoiding polygons: sharp asymptotics of canonical partition functions under the fixed area constraint
  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
• Surface tension and the Ornstein-Zernike behaviour for the 2D Blume-Capel model
  Hryniv, O., & Kotecký, R. (2002). Surface tension and the Ornstein-Zernike behaviour for the 2D Blume-Capel model. Journal of Statistical Physics, 106(3-4), 431-476. https://doi.org/10.1023/a%3A1013797920029
• Phase transition for the spherical hierarchical model
  Ben Arous, G., Hryniv, O., & Molchanov, S. (2002). Phase transition for the spherical hierarchical model. Markov processes and related fields, 8(4), 565-594
• On conditional invariance principle for random walks
  Hryniv, O. (1998). On conditional invariance principle for random walks. Математичні студії. Matematičnì studìï, 9(1), 102-109, 112
• On local behaviour of the phase separation line in the 2D Ising model
  Hryniv, O. (1998). On local behaviour of the phase separation line in the 2D Ising model. Probability Theory and Related Fields, 110(1), 91-107. https://doi.org/10.1007/s004400050146
• Fluctuations of the phase boundary in the 2D Ising ferromagnet
  Dobrushin, R., & Hryniv, O. (1997). Fluctuations of the phase boundary in the 2D Ising ferromagnet. Communications in Mathematical Physics, 189(2), 395-445. https://doi.org/10.1007/s002200050209
• Fluctuations of shapes of large areas under paths of random walks
  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. https://doi.org/10.1007/bf01191908
• On fluctuations of the Wulff shape in the two-dimensional Ising model
  Hryniv, O., & Dobrushin, R. (1995). On fluctuations of the Wulff shape in the two-dimensional Ising model. Uspehi matematičeskih nauk Успехи математических наук (Online), 50(6(306)), 177-178
• A central limit theorem for the Burgers equation
  Hryniv, O. (1991). A central limit theorem for the Burgers equation. Теоретическая и математическая физика. Teoretičeskaâ i matematičeskaâ fizika, 88(1), 7-13