Research / Work

Principle investigator (with Ilya Molchanov) of the project   Probabilistic and analytical aspects of generalised regular variation supported by the Swiss Science Foundation and the Croatian Science Foundation •  Project leader of bilateral Hungarian-Croatian project Statistical inference for branching processes with immigration  •  Collaborator in the several projects supported by Croatian Science Foundation including:  Geometric properties and potential theory of stochastic processes and Stochastic Methods in Analytical and Applied Problems  • Project leader of the project Mireo world on application of computational statistics methods •   Collaborator on the project of construction of Croatian mortality tables (The Croatian Insurance Bureau) 

Invited and selected Presentations

• Risk, Insurance and Extremes, 2000. Eindhoven  A characterization of multivariate regular variation.
• Extremes  2001, Leuven,   Multivariate time series with regularly varying tails
• Winterschool Mathematics and Biology, 2001. Wageningen, Probabilistic approach to phylogenetic trees.
• KOI 2004, Trogir, Croatia, 10th International Conference on Operational Research.  Linkage analysis in human genetics
• ISI 2007, Lisabon, Extremal properties of moving average processes with random coefficients
• German Open Conference on Probability and Statistics, Karlsruhe,  Copulas for the analysis of linkage in human genetics, Mar 2004
• Workshop - High-Dimensional Data Analysis in Economics   2010, Extreme Values and Dependence in  Financial Time Series, Faculty of Economics and Business Zagreb and Humboldt-Universitaet zu Berlin
• Stochastic Networks and Related Topics III, Bedlewo, May 2011
• Workshop - Statistical Analysis of Financial Data, Faculty of Economics, Rijeka and  Humboldt-Universitaet zu Berlin, October 2011
• Copenhagen, PhD course on Extremes in Time and Space. Extremes and sums of regularly varying observations, May 2013.
• Copenhagen, Workshop on Extremes in Time and Space. On the extremal behavior of random variables observed at renewal times, May 2013.
• Osijek, 18th European Young Statisticians Meeting. On dependent regularly varying observations. Keynote address, August 2013.
• Banff, Recent Advances and Trends in Time Series Analysis: Nonlinear Time Series, April/May 2014
• Stochastic Networks and Related Topics IV, Bedlewo, May 2014: On extremal behavior of random variables observed in renewal times
• Copenhagen University, Workshop Mathematical Foundations of Heavy Tailed Analysis, 22-27 June 2015:  An invariance principle for renewal processes and Pitman-Yor distribution
• Fields Institute, Toronto, Workshop on Dependence, Stability, and Extremes, 2-6 May 2016, On tail process and limit theorems
• 3rd ISNPS congress, Avignon, 11-15 June 2016, On records and record times
• Stochastic models V, Bedlewo, September 2016. An invariance principle for sums of stationary sequences
• 3rd Workshop on Probability Theory and its Applications. KIAS, An invariance principle for regularly varying sequences, Korea Institute for Advanced Study, Seoul,  December 2016
• Spring School in Risk,  Institute for Risk and Uncertainty, University of Liverpool,  April 2017. Point Processes - Risk Applications
• AMERISKA meeting,  UPMC, Paris, June 2017, On central limit theorem for marked Hawkes processes, 
• ISSPSM 2017,  Debrecen, August 2017. On stationary regularly varying sequences and arrays
• CMStatistics 2017, London, December 2017. On records of stationary heavy tailed sequences
• BIRS-CMO Workshop / Self-similarity, Long-range dependence. and Extremes, Oaxaca - On Poisson approximation for local sequence alignments, 19.6.2018.
• Korean–Croatian Summer Probability Camp, Dubrovnik, June 2019, On Convergence of Point Processes - two lectures
• The international seminar on modelling heavy tailed phenomena and its applications, Shanghai, October 2019, On subcritical branching processes with regularly varying immigration
• Workshop Heavy tails, Eurandom – Eindhoven, 2019, On the power law tails in branching models
• CMStatistics 2019 London, December 2019,  Asymptotic analysis of subcritical branching processes with immigration
• Discussion Meeting on Stochastic Analysis, Geometry, and Random Fields, ISI Bangalore, January 2020, On the regularly varying tails in branching models 
• Heavy Tails, Long-Range Dependence, and Beyond, Queues lourdes, dépendance de long terme et au-delà, Luminy, 4 - 8 July, 2022, Extremal behavior of stationary point processes with scores
• Limit Theorems for Slowly Mixing Systems, ICMS, Bayes Centre, Edinburgh, 06 - 10 June 2022, Tail process and related limit theorems
• Extremes in random point configurations, Extreme Value Analysis, Milano, 27 June 2023
• Regular variation for general stochastic models Bojan Basrak, SMC 2024, Graz University of Technology, February 2024
• Regular variation for general random elements, 4th Italian Meeting on Probability and Mathematical Statistics, Rome, June 2024
• Regular variation for general random elements - Mathematics, Statistics, and Geometry of Extreme Events in High Dimensions — MFO, Oberwolfach, August 2024
• Stick-Breaking Distributions and Pitman-Yor theorem,  Probability Theory Applied to Actuarial Science Workshop honoring T. Mikosch and J. Paulsen, Copenhagen, August 2025.

Invited Talks

• Amsterdam, Vrije Universiteit, Semiparametric and nonparametric methods of QTL mapping, Sep 2002.
• Aarhus, Aarhus University, Statistics and Probability in Reconstruction of Phylogenetic Trees, May 2002.
• Copenhagen, University of Copenhagen, On multivariate heavy tailed time series, Jun 2008.
• Delft, Delft University of Technology, On Multivariate Regular Variation and Sequences od Dependent Random Variables, Oct 2002.
• Duesseldorf, Heinrich-Heine-University Duesseldorf, On probabilistic analysis of tree reconstruction algorithms, Nov 2002.
• Tilburg, Tilburg University, On the tail behavior of nearly additive Markov chains, Feb 2006.
• Tilburg,  CentER, Tilburg University, A functional limit theorem for partial sums of dependent random variables with infinite variance,  Apr 2010,
• Ljubljana, University of Ljubljana, On Markovian Time Series Models with Heavy Tails, Dec 2006,
• Ljubljana, University of Ljubljana,  On dependence structure of multivariate heavy tailed time series, Feb 2008.
• Zagreb, Institut Rudjer Boskovic, Analiza povezanosti u humanoj genetici, Apr 2004.
• Zurich, ETH, Copulas for the analysis of linkage in human genetics, Mar 2004.
• Louvain-la-Neuve,  Universite catholique de Louvain, Asymptotic behavior of sample mean on trees, Apr 2009.
• Berlin, Humboldt-Universitat zu Berlin - Weierstrass Institute, On regularly varying time series, Oct 2010.
• Ljubljana, University of Ljubljana, On heavy tailed time series and their sums - Functional limit theorems, 2014.
• Torun, Nicolaus Copernicus University, A limit theorem for renewal processes, Apr 2015.
• Ottawa,  University of Ottawa, An invariance principle for renewal processes and Pitman-Yor distribution, June 2015
• Universite Paris Ouest Nanterre La Defense, On randomly spaced observations and Pitman-Yor distribution, September 2015.
• University of Manchester, Tail process and extremes of heavy tailed sequences, March 2016.
• University of Liverpool, Tail process and extremes of heavy tailed sequences, March 2016.
• Paris VI, UPMC, On tail process and its role in limit theorems, March 2016.
• University of Illinois, Urbana-Champaign,  On tail process, April 2016
• Korea Advanced Institute of Science and Technology, An invariance principle for sums and record times of stationary sequences, Daejeon, December 2016
• Sorbonne University, Paris,  Poisson approximation for random arrays in general metric spaces, February 2018.
• Université Paris Nanterre, On compound Poisson approximation for random arrays with applications, February 2018.
• TU Dresden, On convergence of point processes, 25 April 2019
• Université Paris Nanterre, Extremal behavior of stationary marked point processes, Séminaire MODAL’X  13 October 2022
• Université de Lausanne, Extremal behavior of stationary marked point processes, 14 December 2022
• Colorado University Boulder: On stationary branching models and random walks in random environment, Probability Seminar, April 2023.
• Colorado State University, Extremes in random point configurations,  April 2023
• One World Extremes Seminar, Extremes in stochastic geometry, May 2023
• University of Cincinnati, Extremes in random point configurations,  September 2023

before 2000 or at local universities: Groningen, Rotterdam, Muenchen, Eindhoven, Osijek, Zagreb, Varazdin, Rijeka, Split

Refereeing for journals

• Bernoulli Journal,  the Australian and New Zealand Journal of Statistics, Lithuanian Mathematical Journal, Journal of the Korean Mathematical Society, Journal of the Royal Statistical Society: Series B, Journal of Multivariate Analysis, Annals of Applied Probability, Statistics, Statistica Sinica, Statistical Science, Stochastic processes and their applications, Stochastic models, Journal of the American Statistical Association, Probability Theory and Related Fields, Communications in Mathematical Physics, Computational Statistics and Data Analysis, Annals of Probability, Annales de l'Institut Henri Poincaré, Probability and Statistics, Extremes

PhD students
Danijel Krizmanić (2010), Azra Tafro (2014), Ivo Ugrina (2014, coadvisor), Drago Å poljarić (2014, coadvisor), Hrvoje Planinić (2019), Petra Žugec (2019), Marina Dajaković (2022), Darko Brborović (2022), Nikolina MilinÄ�ević (2023). present: Daniela Ivanković, Krunoslav Ivanović

Doctoral Dissertation Committee Member (International)
Univerza v Ljubljani, 2006, 2017, 2022,  Tilburg University, 2010, Karlsruhe Institute of Technology - KIT, 2020, Graz University of Technology 2023, Sorbonne Université/University of Lausanne 2025.

Actuarial specialist program thesis advisor: Gordana JakÅ¡etić (2009), Bernardica Peranec (2010), Branka Skelin (2010), Katarina Stanić (2011), Davor Borojević (2013), Daniela Å ipalo (2014), Marijana Vižintin (2016), Ivan Petrunić (2020).

Master students (in a random order):
Vesna Gotovac, VanÄ�o Balen, Stojan Å tironja, Vedran Horvatić, Tatjana PejÄ�inović, Iva OpaÅ¡ić, Milena Vulević, Ivana Vidaković, Mirjana Jukić, Berislav Å ega, Josip Kljaković GaÅ¡pić, Marija Å elimber, Tanja GaluÅ¡ić, Mislav MiÅ¡ković, Julijana Njegovec, Bernarica Peranec, Jadranka Korn, Ivana VuÄ�ko, Ivana Pežak, Borna Novak, Anton Golub, Marija Galić, Mirna Krmpotić, Ivana Slamić, Anita Slivar, Sandra LovrinÄ�ević, Azra Tafro, Željka Bartolić, Marina Rimac, Ana PeruÄ�ić, Željka SeniÄ�ić, Jadranko FilipÄ�ić, Ivana Brguljan, Josipa Akalović, Srdjan Mijić, Aleksandar Å ujica, Ivana ÄŒulina, Valentina Filipović, Davor Kunovac, Stipe Luetić, Karlo Brguljan, Vedrana JerÄ�ić, Marko Baržić, Tea BaÅ¡ković, Kruno Komugović, Marka Todorović, Ervin Duraković, Valerija Horvat, Ivan Varga, Mia Primorac, Martina Pehar, Boris Krajinović, Marin Drlje, Doris Zelić, Arijan LisiÄ�ar, Marija PrÅ¡a, Vanja Jović, Živa Mitar (Ljubljana), Ana Bevanda, Ivo Božić, Miko Martinić, Ivana AntoliÅ¡, Ognjen Stipetić, Vedrana Vazdar, Elio BartoÅ¡, Andrijana Brkić, Bernard BlagajÄ�ević, Andrija ÄŒutura, Bruno Hrastić, Ante Å terc, Lara ÄŒigir, Stipe JurÄ�ević, Barbara Banić, Gabrijel Tomorad, Florijan Iljazović (suvoditelj s dr.sc. D. Å poljarićem), Matea Oremović, Tessa Bauman, Nikola Pavlinić (suvoditelj s dr.sc. D. Å poljarićem), Daniela Ivanković, Nikola JalÅ¡enjak, Jakov Å ikić, Marko Jukić, Luka Jurić, Damir Ćuk, Gabrijel TurÄ�ić, Jan Pristovnik (Ljubljana, suvoditelj s prof. dr.sc. Lj.Todorovskim), Krunoslav Ivanović, Antonija Barić

Chair of the local organizing board for the Random geometry, graphs and extremes, Dubrovnik, October, 2025.
Chair of the local organizing board for the New Perspectives in the Theory of Extreme Values, Dubrovnik, October, 2023.

Chair of the local organizing board for the Regular Variation and Related Themes workshop, Dubrovnik, November, 2021.

Chair of the local organizing board for the 11th Extreme Value Analysis conference, Zagreb, July, 2019.

Organizer of Croatian Quants Day, Workshop on Quantitative Methods for Insurance and Finance, Zagreb in 2008,2009,2010,2011,2012,2014.

Invited session organizer; The biennial international conference of the International Society for Business and Industrial Statistics,  Portoroz, Slovenija, 2010.

Member of the organizing committee: 1st and 2nd Korean Croatian Summer Probability Camp 2017, 2019.

Member of the organizing committee, 6th Croatian Mathematical Congress, 2016.

Member of the programme committee,  Croatian Actuarial Conference, 2016-2020.

Member and ex treasurer and vice-president of Croatian Society for Theoretical and Mathematical Biology. Member of