Pristupačnost
Combinatorial settlement planning
Packing density of combinatorial settlement planning models
Hoeffding’s inequality for non-irreducible Markov models
Complexity function for a variant of Flory model on a ladder
Invariance principle for the capacity and the cardinality of the range of stable random walks
Learning from non-irreducible Markov chains
Capacity of the range of random walks on groups
Convex hulls of stable random walks
CLT for the capacity of the range of stable random walks
Limit theorems for a stable sausage
Functional CLT for the range of stable random walks
Transition probability estimates for subordinate random walks
Harnack Inequality for Subordinate Random Walks
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S. Šebek, Convex hull of Brownian motion and Brownian bridge, 2024, preprint
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D. Ivanković, T. Kralj, N. Sandrić and S. Šebek, On the convex hull of two planar random walks, 2024, preprint
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T. Došlić, M. Puljiz, S. Šebek and J. Žubrinić, Predators and altruists arriving on jammed Riviera, 2024, preprint
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T. Došlić, M. Puljiz, S. Šebek and J. Žubrinić, Rydberg atoms on a ladder, 2023, preprint
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W. Cygan, N. Sandrić, S. Šebek and A. Wade, Iterated-logarithm laws for convex hulls of random walks with drift, 2023, Transactions of the American Mathematical Society, Volume 377(9), 6695-6724, 2024
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W. Cygan, H. Panzo and S. Šebek, Bounds on the size of the convex hull of planar Brownian motion and related inverse processes, 2023, preprint
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M. Puljiz, S. Šebek and J. Žubrinić, Complexity function for a variant of Flory model on a ladder, Proceedings of the 4th Croatian Combinatorial Days, 93-109, 2023
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T. Došlić, M. Puljiz, S. Šebek and J. Žubrinić, Complexity Function of Jammed Configurations of Rydberg Atoms, 2023, accepted for publication in Ars Mathematica Contemporanea, published online
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W. Cygan, N. Sandrić and S. Šebek, Invariance principle for the capacity and the cardinality of the range of stable random walks, Stochastic Processes and their Applications, Volume 163, 61-84, 2023
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T. Došlić, M. Puljiz, S. Šebek and J. Žubrinić, On a variant of Flory model, Discrete Applied Mathematics, Volume 356, 269-292, 2024
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W. Cygan, N. Sandrić and S. Šebek, Convex hulls of stable random walks, Electronic Journal of Probability 2022, Volume 27, paper no. 98, 1-30
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N. Sandrić and S. Šebek, Hoeffding's inequality for non-irreducible Markov models, Statistics and Probability Letters, Volume 200, Paper no. 109870, 2023
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N. Sandrić and S. Šebek, Learning from non-irreducible Markov chains, Journal of Mathematical Analysis and Applications, Volume 523(2), Paper no. 127049, 2023
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M. Puljiz, S. Šebek and J. Žubrinić, Packing density of combinatorial settlement planning models, The American Mathematical Monthly, Volume 130(10), 915-928, 2023
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M. Puljiz, S. Šebek and J. Žubrinić, Combinatorial settlement planning, Contributions to Discrete Mathematics, Volume 18(2), 20-47, 2023
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R. Mrazović, N. Sandrić and S.Šebek, Capacity of the range of random walks on groups, Kyoto Journal of Mathematics, Volume 63(4), 783-805, 2023
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A. Gutierrez, S. Müller and S.Šebek, On asymptotic fairness in voting with greedy sampling, Advances in Applied Probability, Volume 55(3), 999-1032, 2023
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W. Cygan, N. Sandrić and S. Šebek, Limit theorems for a stable sausage, Stochastics and Dynamics, Volume 21(7), Paper No. 2150041, 2021
- W. Cygan, N. Sandrić and S. Šebek, Functional CLT for the range of stable random walks, Bulletin of the Malaysian Mathematical Sciences Society, Volume 44(3), 1371-1386, 2021
- W. Cygan, N. Sandrić and S. Šebek, CLT for the capacity of the range of stable random walks, Stochastics, Volume 94(2), 226-247, 2022
- W. Cygan and S. Šebek, Transition probability estimates for subordinate random walks, Mathematische Nachrichten, Volume 294(3), 518-558, 2021
- A. Mimica and S. Šebek, Harnack inequality for subordinate random walks, Journal of Theoretical Probability, Volume 32(2), 737-764, 2019
Teaching
University undergraduate
- Probability and Statistics (Lecturer in charge)
- Probability and Statistics (Lecturer in charge)
- Project C (Lecturers)
- Selected Topics in Mathematics (Lecturers)
University graduate
- Stochastic Modelling (Lecturer in charge)
- Diploma thesis (Lecturers)
- Project (Lecturers)
- Seminar 1 (Lecturers)
- Seminar 2 (Lecturers)
Postgraduate doctoral study programme
- Discrete Stochastic Processes (Lecturer in charge)
Competences
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Mathematics
Probability Random processes Stochastic processes