Staff profile
Overview
https://apps.dur.ac.uk/biography/image/4621
Affiliation | Telephone |
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Associate Professor in the Department of Mathematical Sciences |
Research interests
- probability and stochastic processes
- phase transitions
- interacting particle systems
- large deviations
Publications
Chapter in book
- Random processesCruise, R. J., Hryniv, O., & Wade, A. R. (2015). Random processes. In M. Grinfeld (Ed.), Mathematical Tools for Physicists (pp. 3-38). Wiley. https://doi.org/10.1002/3527600434.eap382.pub2
Conference Paper
- Phase separation and sharp large deviationsHryniv, O., & Wallace, C. (2020). Phase separation and sharp large deviations. In S. Poghosyan, M. Rafler, & S. Roelly (Eds.), Proceedings of the XI international conference Stochastic and Analytic Methods in Mathematical Physics. (pp. 155-164). Universitätsverlag Potsdam. https://doi.org/10.25932/publishup-45919
Journal Article
- Branching random walk in a random time-independent environmentChernousova, 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 immigrationChernousova, 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 spaceChernousova, 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 DynamicsHryniv, 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 ellipticityHryniv, 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 driftsHryniv, 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 growthHryniv, 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 stripsHryniv, 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 growthHryniv, 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 polymersHryniv, 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 ApproximationCranston, 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 modellingBovier, 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 walksHryniv, 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 constraintHryniv, 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 modelHryniv, 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 modelBen Arous, G., Hryniv, O., & Molchanov, S. (2002). Phase transition for the spherical hierarchical model. Markov Processes and Related Fields., 8(4), 565-594.
- On local behaviour of the phase separation line in the 2D Ising modelHryniv, 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
- On conditional invariance principle for random walksHryniv, O. (1998). On conditional invariance principle for random walks. MATEMATYCHNI STUDII., 9(1), 102-109,112.
- Fluctuations of the phase boundary in the 2D Ising ferromagnetDobrushin, 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 walksDobrushin, 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 modelHryniv, O., & Dobrushin, R. (1995). On fluctuations of the Wulff shape in the two-dimensional Ising model. Uspekhi Matematicheskikh Nauk., 50(6(306), 177-178.
- A central limit theorem for the Burgers equationHryniv, O. (1991). A central limit theorem for the Burgers equation. Teoreticheskai︠a︡ I matematicheskai︠a︡ Fizika., 88(1), 7-13.