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Research

 

Articles

  1. (with R. Viher) Generalized Newton-Raphson method (GNR), Int. J. Math. Sci. 11(1-2):27-41, 2012 [arXiv][journal]
  2. Recurrence and transience property for a class of Markov chains, Bernoulli 19(5B):2167-2199, 2013 [arXiv][journal]
  3. Long-time behavior of stable-like processes, Stochastic Process. Appl., 123(4):1276-1300, 2013 [arXiv][journal]
  4. A transience condition for a class of one-dimensional symmetric Lévy processes, Electron. Commun. Probab. 18(71):1-13, 2013 [arXiv][journal]
  5. Recurrence and transience criteria for two cases of stable-like Markov chains, J. Thoret. Probab. 27(3):754-788, 2014 [arXiv][journal]
  6. Long-time behavior for a class of Feller processes, Trans. Am. Math. Soc. 368(3):1871-1910, 2016 [arXiv][journal]
  7. (with G. Pang) Ergodicity and fluctuations of a fluid particle driven by diffusions with jumps, Commun. Math. Sci. 14(2):327-362, 2016 [arXiv][journal]
  8. On recurrence and transience of two-dimensional Lévy and Lévy-type processes, Stochastic Process. Appl. 126(2):414-438, 2016 [arXiv][journal]
  9. Homogenization of periodic diffusion with small jumps, J. Math. Anal. Appl. 435(1):551-577, 2016 [arXiv][journal]
  10. Ergodic property of stable-like Markov chains, J. Theoret. Probab. 29(2):459-490, 2016 [arXiv][journal]
  11. Ergodicity of Lévy-type processes, ESAIM-Prob. Stat. 20:154-177, 2016 [arXiv][journal]
  12. On transience of Lévy-type processes, Stochastics 88(7):1012-1040, 2016 [arXiv][journal]
  13. A note on the Birkhoff ergodic theorem, Results Math. 72(1-2):715-730, 2017 [arXiv][journal]
  14. Stability of the overdamped Langevin equation in double-well potential, J. Math. Anal. App. 467(1):734-750, 2018 [arXiv][journal]
  15. (with A. Mimica and R. L. Schilling) Markov chain approximation of pure jump processes, Acta App. Math. 158(1):167-206, 2018 [arXiv][journal]
  16. (with A. Arapostathis and G. Pang) Ergodicity of Lévy-driven SDEs arising from multiclass many-server queues, Ann. Appl. Probab. 29(2):1070-1126, 2019 [arXiv][journal]
  17. (with A. Arapostathis, H. Hmedi and G. Pang) Uniform polynomial rates of convergence for a class of Lévy-driven controlled SDEs arising in multiclass many-server queues, Modeling, Stochastic Control, Optimization, and Applications, The IMA Volumes in Mathematics and its Applications, Vol. 164, George Yin and Qing Zhang (Eds.), pp 1-20, 2019 [arXiv][journal]
  18. (with P. Lazić) On sub-geometric ergodicity of diffusion processes, Bernoulli 27(1):348-380, 2021 [arXiv][journal]
  19. (with I. Valentić and J. Wang) Periodic homogenization of a Lévy-type process with small jumps, J. Evol. Equ. 21(1):771-803, 2021 [arXiv][journal]
  20. (with W. Cygan and S. Šebek) Functional CLT for the range of stable random walks, Bull. Malays. Math. Sci. Soc. 44(3):1371-1386, 2021 [arXiv][journal]
  21. (with W. Cygan and S. Šebek) Limit theorems for a stable sausage, Stoch. Dyn., 21(7), Pap. No. 2150041, 44 pp, 2021 [arXiv][journal]
  22. (with I. Valentić) A CLT for degenerate diffusions with periodic coefficients, and application to homogenization of linear PDEs, J. Differ. Equ. 282:233-271, 2021 [arXiv][journal]
  23. (with W. Cygan and S. Šebek) CLT for the capacity of the range of stable random walks, Stochastics 94(2):226-247, 2022 [arXiv][journal]
  24. (with A. Arapostathis and G. Pang) Subexponential upper and lower bounds in Wasserstein dstance for Markov processes, Appl. Math. Opt. 85(37):1-42, 2022 [arXiv][journal]
  25. (with W. Cygan and S. Šebek) Convex hulls of stable random walks, Electron. J. Probab. 27:1-30, 2022 [arXiv][journal]
  26. (with P. Lazić) On subgeometric ergodicity of regime switching diffusion processes, Nonlinear Analysis: Hybrid systems 46(101262), 24 pp, 2022 [arXiv][journal]
  27. (with S. Šebek) Learning from non-irreducible Markov chains, J. Math. Anal. App. 523(2):127049, 2023 [arXiv][journal]
  28. (with S. Šebek) Hoeffding's inequality for non-irreducible Markov models, Stat. Probab. Lett. 200:109870, 7pp, 2023 [arXiv][journal]
  29. (with W. Cygan and S. Šebek) Invariance principle for the capacity and the cardinality of the range of stable random walks, Stochastic Process. Appl. 163:61-84, 2023 [arXiv][journal]
  30. (with R. Mrazović and S. Šebek) Capacity of the range of random walks on groups, Kyoto J. Math. 63(4):783-805, 2023 [arXiv][journal]
  31. Periodic homogenization of a class of weakly coupled systems of linear PDEs, Comput. Appl. Math. 43, Art. No. 57, 26pp, 2024 [arXiv][journal]

 

 

Preprints

  1. (with W. Cygan, S. Šebek and A. Wade) Iterated-logarithm laws for convex hulls of random walks with drift
  2. (with D. Ivanković, T. Kralj and S. Šebek) On the convex hull of two planar random walks

 

 

Thesis

Recurrence and transience property of some Markov chains, Ph.D. thesis at University of Zagreb, Zagreb, Croatia, 2012

Singularities of differentiable mappings, B.Sc. thesis at University of Zagreb, Zagreb, Croatia, 2006