Publications
- P.Kim, R.Song, Z.Vondraček: Minimal thinness with respect to symmetric Lévy processes, Trans. Amer. Math. Soc. 368:8787-8822, 2016.
- N.Sandrić: Ergodic property of stable-like Markov chains, Journal of Theoretical Probability, 29(2):459–490, 2016.
- I.Geček Tuđen, Z.Vondraček: A distributional equality for suprema of spectrally positive Lévy processes, Journal of Theoretical Probability, 29(3):826–842, 2016.
- B.Basrak, D.Špoljarić: Extremes of random variables observed in renewal times, Statistics and Probability Letters, 97:216-221, 2014.
- V.Kovač, K.A.Škreb: One modification of the martingale transform and its applications to paraproducts and stochastic integrals, J. Math. Anal. Appl. 426 (2):1143-1163, 2015.
- Y.Shi, A.Demaria, S.Lubura, H.Šikić, S.Bassnett: The Penny Pusher: a cellular model of lens growth, Investigative Ophthalmology & Visual Science., 56:799–809, 2015. (cover article for February 2015)
- H.Šikić, Y.Shi, S.Lubura, S.Bassnett: A stochastic model of eye lens growth, Journal of theoretical biology, 376:15-31, 2015. (highlighted article)
- M.Kassmann, A.Mimica: Intrinsic scaling properties for nonlocal operators, J. Eur. Math. Soc. 19: 983--1011, 2017.
- R.L.Schilling, Z.Vondraček: Absolute continuity and singularity of probability measures induced by a purely discontinuous Girsanov transform of a stable process, Trans. Amer. Math. Soc., 369:1547-1577, 2017.
- B.Basrak: Limits of renewal processes and Pitman-Yor distribution,
Electron. Commun. Probab., 13pp, 2015.
- P.Kim, R.Song, Z.Vondraček. Minimal thinness with respect to subordinate killed Brownian motions, Stoch.Processes Appl., 126:1226-1263, 2016.
- V.Kovač, C.Thiele, P.Zorin-Kranich: Dyadic triangular Hilbert transform of two general and one not too general function, Forum of Mathematics, Sigma 3, e25, 27pp, 2015.
- P.Gressman, D.He, V.Kovač, B.Street, C.Thiele, P.-L.Yung: On a trilinear singular integral form with determinantal kernel, Proc. Amer. Math. Soc. 144(8):3465-3477, 2016.
- D.Krizmanić, Functional weak convergence of partial maxima processes, Extremes, 19:7-23, 2016.
- P.Kim, R.Song, Z.Vondraček: Martin boundary of unbounded sets for purely discontinuous Feller processes ,Forum Mathematicum 28:1067-1085, 2016.
- A. Mimica: Exponential decay of measures and Tauberian theorems, J.Math.Anal.Appl., 440:266-285, 2016.
- N. Sandrić: Long-time behavior for a class of Feller processes, Trans.Am. Math. Soc. 368(3):1871-1910, 2016.
- G. Pang, N. Sandrić: Ergodicity and fluctuations of a fluid particle
driven by diffusions with jumps, Commun. Math. Sci. 14(2):327-362, 2016.
- N. Sandrić: On recurrence and transience of two-dimensional Lévy and
Lévy-type processes, Stochastic Process. Appl. 126(2):414-438, 2016.
- N. Sandrić: Homogenization of periodic diffusion with small jumps, J.
Math. Anal. Appl. 435(1):551-577, 2016.
- N. Sandrić: Ergodicity of Lévy-type processes, ESAIM-Prob. Stat., 20:154-177, 2016.
- N. Sandrić: On transience of Lévy-type processes, Stochastics, 88(7):1012-1040, 2016.
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- K. Burdzy, T. Tadic: Random reflections in a high dimensional tube, Journal of Theoretical Probability, 31(1):466-493, 2018.
- A.Mimica, On subordinate random walks, Forum Mathematicum 29:653-664, 2017.
- A. Mimica: Heat kernel estimates for subordinate Brownian motions, Proc. London Math. Soc. 113:627-648, 2016.
- V.Kovač: Quantitative norm convergence of double ergodic averages associated with two commuting group actions, Ergodic Theory Dynam. Systems., 36(3):860-874, 2016.
- P. Durcik, V. Kovač, C. Thiele: Power-type cancellation for the simplex Hilbert transform, to appear in Journal d’Analyse Mathematique, 10pp, 2016.
- V.Wagner: Boundary Harnack principle for the absolute value of the subordinate Brownian motion killed at 0, Electron. Commun. Probab., 21(84):1-12, 2016.
- D.Krizmanić, Weak convergence of multivariate partial maxima processes, Journal of Multivariate Analysis, 155:1-11, 2017.
- P.Kim, R.Song, Z.Vondraček: Scale invariant boundary Harnack principle at infinity for Feller processes, Potential Analysis 47: 337-367, 2017.
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- P. Durcik, V. Kovač, K. A. Škreb, C. Thiele: Norm-variation of ergodic averages with respect to two commuting transformations, to appear in Ergodic Theory Dynam. Systems, 33pp, 2017.
- P. Durcik, V. Kovač, L. Rimanić: On side lengths of corners in positive density subsets of the Euclidean space, to appear in Int. Math. Res. Not., 16pp, 2017.
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N. Sandrić: A note on the Birkhoff ergodic theorem, Results in Mathematics 72(1-2):715-730, 2017.
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- M. Huzak: Estimating a class of diffusions from discrete observations via approximate maximum likelihood method, to appear in Statistics, 31pp, 2017.
- P. Kim, A. Mimica: Asymptotical properties of distributions of isotropic Lévy processes, Stochastic Process. Appl., 128:2688-2709, 2018.
- B.Basrak, H.Planinić, P.Soulier: An invariance principle for sums and record times of regularly varying stationary sequences, to appear in Probab. Th. Rel. Fields, 46pp, 2017
- A.Mimica, S.Šebek:Harnack inequality for subordinate random walks, to appear in J. Theor. Probab., 28pp, 2018.
- D. Krizmanic: A note on joint functional convergence of partial sum and maxima for linear processes, Statist. Probab. Lett. 138, pp 42-26, 2018.
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- H. Planinić, P. Soulier: The tail process revisited, to appear in Extremes, 29 pp, 2018.
- V. Kovač, D. Oliveira e Silva, J. Rupčić: A sharp nonlinear Hausdorff-Young inequality for small potentials, to appear in Proc. Amer. Math. Soc., 14pp, 2018.
- D. Krizmanic: Joint functional convergence of partial sums and maxima for linear processes, Lith. Math. J., 58(4):457-479, 2018.
- J.Cvitanić, D.Prelec, S.Radas, H.Šikić: Game of Duels: Information-Theoretic Axiomatization of Scoring Rules, to appear in IEEE Transactions on Information Theory, 12pp, 2018.
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- A. Martinčić Špoljarić, I. Rubelj, M. Huzak: Mathematical model and computer simulations of telomere loss, Journal of Theoretical Biology, 465:78-89, 2019.
- V.Wagner: A note on the trace theorem for Besov-type spaces of generalized smoothness on d-sets, to appear in Glasnik Matematički, 23 pp, 2019.
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D. Krizmanic: On joint weak convergence of partial sum and maxima processes, Stochastics 92(6), 876-899, 2020.
Preprints
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J.Cvitanić, D.Prelec, S.Radas, H.Šikić: Mechanism design for an agnostic planner: universal mechanisms, logarithmic equilibrium payoffs and implementation (35 pp)
- I. Geček Tuđen: Ruin probability for discrete risk processes, (12pp), 2017.
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- B. Basrak, H. Planinić: A note on vague convergence of measures, 15 pp, 2018.
- B. Basrak, H. Planinić: Compound Poisson approximation for random fields with application to sequence alignment, 34pp, 2018.
- B. Basrak, O. Wintenberger, P. Žugec: On total claim amount for marked Poisson cluster models, 39 pp, 2018.
- M. Nielsen, H, Šikić: Muckenhoupt class weight decomposition and BMO distance to bounded functions, 13pp, 2018.
- W. Cygan, S. Šebek: Transition probability estimates for subordinate random walks, 34pp, 2018.
Ph.D. Theses
- Snježana Lubura Strunjak: Local asymptotic properties of approximative maximum likelihood estimator of drift parameters in diffusion model, 27.10.2015.
- Vanja Wagner: Censored Lévy and related processes, 25.5.2016.
- Kristina Ana Škreb: The Bellman function technique for multilinear martingale estimates, 8.6.2017.
Last edited: August 25, 2020, 15:33