Dozent

• Komplexe Systeme
• Statistische Mechanik von ungeordneten Systemen
• Spin-Gläser
• Stochastiche Modelle für Populationsgenetik

 

Beschäftigung

• seit 10/2022 Privatdozent für Applied Stochastics @ Institute of Mathematics, Universität Würzburg
• 2022 Vertretungsprofessor für Stochastics and Applications @ University of Stuttgart
• 2014 Vertetungsprofessor für Probability and Statistics @ Institute for Applied Mathematics, University of Bonn.
• 2013-2022 Dozent Fakultät für Mathematik, Universität Duisburg-Essen.
• 2012-2013 Postdoc. Mathematics Institute, Leiden University.
• 2011-2012 Postdoc. EURANDOM, Technische Universiteit Eindhoven.
• Sep.-Dez. 2010. Gastwissenschaftler, Hausdorff Research Institute for Mathematics.
• 2009-2010 Postdoc. EURANDOM, Technische Universiteit Eindhoven.
• 2008-2009 Postdoc. Department Mathematik, Universität Erlangen-Nuernberg.
• 2006-2007 Wissenschaftlicher Mitarbeiter. Insitut für Mathematik, Technische Universität Berlin.
• 2003-2005 Doktorand. Insitut für Mathematik, Technische Universität Berlin.
• 2002-2003 Doktorand. Department of Statistical Methods in Mathematical Physics, Mathematical Division, Institute for Low Temperature Physics & Engineering. Kharkiv.
• 2002-2003 Analyst. Simplexsoft. Kharkiv.

Akademische Qualifikationen

• Dezember 2019 Habilitation. Universität Duisburg-Essen.
• Juni 2008 Ph.D. (Dr. rer. nat. mit Auszeichnung). Mathematik. Technische Universität Berlin. Betreuer: Prof. Dr. Anton Bovier.
• Juli 2002 M.Sc. (Diplom mit Auszeichnungn). Angewandte Mathematik. Kharkiv National University. Betreuer: Dr. Sci. Mariya Shcherbina.
• Juni 1997 Lyceum Diplom (mit Auszeichnung). Informatik. Lyceum "Professional". Kharkiv.

• Spatial growth & information exchange in evolving environments & on evolving networks, Grant number: 443891315, DFG (German Research Foundation) 2020-2023. (Co-PI)
• Stochastic processes on evolving networks, Grant number: 412848929, DFG (German Research Foundation) 2019-2023. (The initiator and applicant)
• Hierarchical self-organisation in complex stochastic systems, Grant number: 251200, European Commission, 2010-2012. (The PI)

• 2010-2012 Marie Curie Intra-European Fellowship for Career Development.
• 2003-2005 Ph.D. Stipendium. DFG Research Training Group Stochastic processes and probabilistic analysis.
• 2002-2003 Ph.D. Stipendium. National Academy of Sciences of Ukraine.

Übersicht aller Publikationen von Dr. Anton Klymovskiy auf Google Scholar

Veröffentlicht/übermittelt

• Stochastic models of inhomogeneous complex systems: Emergence of multi-scale hierarchies. Habilitation Thesis. University of Duisburg-Essen. 2020 [ PDF, library version ]
• Markovian dynamics of exchangeable arrays. With Jiří Černý. In: Genealogies of Interacting Particle Systems. Ed. by M. Birkner, R. Sun, and J. Swart. Vol. 38. IMS LNS. World Scientific, 2020. [ PDF, arXiv ]
• The phase diagram of the complex branching Brownian motion energy model. With Lisa Hartung. Electron. J. Probab. 23 (127), 27 pp. 2018. [ PDF, arXiv, journal version ]
• The hierarchical Cannings process in random environment. With Andreas Greven, Frank den Hollander. ALEA, Lat. Am. J. Probab. Math. Stat. 15, 295-351, 2018. [ PDF, arXiv ]
• The glassy phase of the complex branching Brownian motion energy model. With Lisa Hartung. Electron. Commun. Probab. 20 (78), 1–15. 2015. [ PDF, arXiv, journal version ]
• Gaussian fluctuations in generalized random energy model at complex temperatures. With Zakhar Kabluchko. Submitted. 2015. [ PDF, arXiv ]
• Generalized random energy model at complex temperatures. With Zakhar Kabluchko. Submitted. 2014. [ PDF, arXiv ]
• Renormalisation of hierarchically interacting Lambda-Cannings processes. With Andreas Greven, Frank den Hollander, Sandra Kliem. ALEA, Lat. Am. J. Probab. Math. Stat. 11 (1), 43–140. 2014. [ PDF, arXiv ]
• Complex Random Energy Model: Zeros and Fluctuations. With Zakhar Kabluchko. Prob. Theor. and Rel. Fields. 158. Pages 159-196. 2014. [ PDF, arXiv, journal version, EURANDOM report ]
• High-dimensional Gaussian fields with isotropic increments seen through spin glasses. Electron. Commun. Probab. 17. 2012. [ PDF, journal version, arXiv, EURANDOM report ]
• Towards renormalisation of the hierarchically interacting heavy-tailed Lambda-Cannings models. Oberwolfach Reports, 8(1):806–809, March 2011. [ journal version ].
• The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins. With Anton Bovier. Electron. J. Probab. 14. Pages 161-241. 2009. [ PDF, arXiv, journal version ]
• Fluctuations of the partition function in the GREM with external field. With Anton Bovier. J. Math. Phys. 49 (1), 125202, 2008. [ PDF, arXiv, journal version ]
• Sums of correlated exponentials: two types of Gaussian correlation structures. Ph.D. thesis. Berlin University of Technology. June 2008. [ PDF, abstract ]
• The Aizenman-Sims-Starr scheme for the SK model with multidimensional spins. 2007. With Anton Bovier. [ PDF, arXiv ]
• Learning and generalization errors for the 2D binary perceptron. Mathematical and Computer Modelling, Volume 42, Issues 11-12, December 2005, Pages 1339-1358. [ journal version ]

Nach oben

• Scaling and ergodic analysis of spatial Cannings models. 11th German Probability and Statistics Days, March 4–7, 2014, Ulm, Germany.
• Probabilistic Analysis of Random Energy Models. Symmetries and Universality in Mesoscopic Systems, November 3–7, 2013, Langeoog, Germany.
• Renormalization of hierarchically interacting Lambda-Cannings processes. Cornell Probability Summer School 2012, Ithaca, NY.
• STOchastically skewed evolution: clustering vs. local coexistence. EURANDOM, June 7, 2012, Eindhoven.
• Multi-scale analysis of hierarchically interacting Λ-Cannings processes. 10th German Probability and Statistics Days. March 8, 2012. Mainz.
• Large scale behaviour of Cannings' model on hierarchical group and in continuum, AG Stochastik und Dynamische Systeme, November 17, 2011, Erlangen.
• Renormalisation of hierarchically interacting Lambda-Cannings processes, Universiteit Leiden, November 1, 2011, Leiden.
• Rather conventional Gaussian random fields in the light of spin glasses, University of Duisburg-Essen, October 18, 2011, Essen.
• Renormalisation of hierachically interacting Lambda-Cannings processes in the mean-field limit, 5th International Conference on Stochastic Analysis and its Applications, September 5–9, 2011, Bonn.
• Free energy of a particle in high-dimensional Gaussian potentials with isotropic increments, 2011 School on Mathematical Statistical Physics, August 29–September 9, 2011, Prague.
• High-dimensional Gaussian random fields with isotropic increments seen through spin glasses, Extreme Value Statistics in Mathematics, Physics and Beyond, July 4–8, 2011, Leiden.
• Gaussian random fields with isotropic increments seen through spin glasses, June 13–17, 2011, Firenze.
• Interacting particle systems and renormalisation group, May 26 + June 02, 2011, Institute for low temperature physics, Kharkiv.
• Multi-scale analysis of the hierarchically interacting heavy-tailed Cannings models, May 2–13, 2011, Institute for Mathematical Sciences, Singapore.
• Towards renormalisation of the hierarchically interacting heavy-tailed Lambda-Cannings models, March 13–19, 2011, Oberwolfach.
• High-dimensional Gaussian fields with isotropic increments: cascades and Parisi-type formulae, Séminaire Probabilités et Statistiques, January 28, 2011, Marseille.
• Hierarchically interacting spatial Lambda-Fleming-Viot processes, HIM Junior Trimester Program on Stochastics, November 29, 2010, Bonn.
• Extremes and exponential functionals of high-dimensional Gaussian processes with isotropic increments: comparison with cascades, AG Stochastik und Dynamische Systeme, November 25, 2010, Erlangen.
• Parisi-type formulae as traces of hierarchical self-organization in range-free spin glasses with Gaussian Hamiltonians, HIM Junior Trimester Program on Stochastics, November 16, 2010, Bonn.
• Universal macroscopic behavior of evolving genealogies of spatial Lambda-Fleming-Viot processes, Forschungsseminar der Arbeitsgruppe Stochastik, October 26, 2010, Essen.
• High-dimensional Gaussian fields with isotropic increments, Disordered systems and extreme value statistics, September 16, 2010, Bonn. Slides.
• Extremes and emergence of hierarchies in high-dimensional Gaussian random fields, 73rd Annual Meeting of the Institute of Mathematical Statistics, August 10, 2010, Gothenburg.
• Extremes of high-dimensional Gaussian random fields with isotropic increments, PIMS summer school in probability, July 07, 2010, Seattle.
• Extremes and emergence of hierarchies in high-dimensional Gaussian random fields, Stochastics Colloquium, Universiteit Utrecht, May 6, 2010.
• Parisi's hierarchical replica symmetry breaking for high-dimensional Gaussian processes with isotropic increments, 9th German Open Conference on Probability and Statistics, March 4, 2010, Leipzig.
• Short-, critical- (logarithmic) and long-range correlations in high-dimensional Gaussian random fields with isotropic increments, Oberseminar Wahrscheinlichkeitstheorie, TU München / Ludwig-Maximilian Universität München, January 25, 2010, München.
• Around one-and-a-half Parisi-type formulae for the free energy, Statistical Mechanics on Random Structures, November 15–20, 2009, BIRS, Banff, Canada.
• High-dimensional random fields with stationary isotropic increments: the Parisi picture, The 33rd Conference on Stochastic Processes and Their Applications, July 27–31, TU Berlin.
• Parisi landscapes on high-dimensional Euclidean spaces, Workshop "Mathematical Models from Physics and Biology", April 01–04, Hausdorff center for mathematics, Bonn.
• Hierarchical self-organisation in the Sherrington-Kirkpatrick model with multidimensional spins, Statistical Mechanics Workshop, December 8–12, 2008, IHP, Paris.
• Hierarchical self-organisation in some non-hierarchically interacting high-dimensional random systems, BRG meeting, ESI, October 2–3, 2008, Vienna
• Limiting behaviour of large sums of strongly correlated exponentials, Oberseminar Mathematische Statistik, TU München, July 09, Garching, 2008.
• Hierarchical structures in the large sums of non-hierarchically correlated random exponentials, EURANDOM, July 04, Eindhoven, 2008.
• Sums of correlated exponentials: two types of Gaussian correlation structures, Kolloquium des mathematischen Instituts, Universität Erlangen, June 26, Erlangen, 2008.
• Estimates of Guerra's remainder term in the SK model with multidimensional spins, YEP 2008, March 13, Eindhoven, 2008.
• Free energy in the Sherrington-Kirkpatrick model with multidimensional spins, Berlin-Leipzig Seminar, Max Planck Institute for Mathematics in the Sciences, December 7, Leipzig, 2007.
• The Aizenman-Sims-Starr scheme for the multidimensional SK model, The 5^th^ Prague Summer School on Mathematical Statistical Mechanics, September 10-23, Prague, 2006.
• The Aizenman-Sims-Starr scheme for the vector SK model, Frankfurter Stochastik-Tage 2006, Frankfurt, 14-17.03.2006.

• Interacting particle systems on (co)evolving networks, Oktober 5--8, 2021, Burg Ebernburg.
• Interacting particle systems & random geometries, Seminar Series, 2020, UA Ruhr.
• Graph limits and random walks, September 13--16, 2020, Benediktbeuern, Deutschland.
• Stochastic processes on evolving networks, August 28--30, 2019, Technische Universität Darmstadt, Deutschland.
• Fundamentals of complex networks: From static towards evolving, März 6--8, 2019, Universität Duisburg-Essen, Deutschland.
• Stochastic population models on networks, August 22--24, 2018, Technische Universität München, Munich, Deutschland.
• Phase transitions and random trees, Juli 13--Juli 14, 2017, Dortmund, Deutschland.
• Disordered systems and extreme value statistics, September 13--17, 2010, Hausdorff Research Institute for Mathematics, Bonn.
• Junior Hausdorff Trimester Program "Stochastics", September--Dezember, 2010, Hausdorff Research Institute for Mathematics, Bonn.

• Interacting particle systems on (co)evolving networks, October 5--8, 2021, Burg Ebernburg.
• Graph limits and random walks, September 13--16, 2020, Benediktbeuern, Deutschland.
• ~~Retreat, Mai 31--Juni 5.~~
• ~~Graph Limits, April 6--9, 2020, Eurandom, Technische Universiteit Eindhoven.~~
• Statistical foundations for evolving networks, March 11--13, 2020, Albert-Ludwigs-Universität Freiburg, Deutschland.
• Geographic spaces for evolution: from lattices to graphs to continuum, Dezember 12--13, 2019, Friedrich-Alexander-Universität Erlangen, Deutschland.
• Stochastic processes on evolving networks, August 28--30, 2019, Technische Universität Darmstadt, Deutschland.
• Population Dynamics and Statistical Physics in Synergy II, April 1--3, 2019, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italien.
• Spatial population models: From configurations to genealogies and back, März 25--27, 2019, Friedrich-Alexander-Universität Erlangen, Deutschland.
• Fundamentals of complex networks: From static towards evolving, März 6--8, 2019, Universität Duisburg-Essen, Deutschland.
• 20th Anniversary Eurandom, Dezember 17--19, 2018, Technische Universiteit Eindhoven, Niederlande.
• Evolutionary forces and genealogical trees, November 22--23, 2018, Universität Duisburg-Essen, Deutschland.
• Advances in Statistical Mechanics, August 27--31, 2018, CIRM, Marseille, Frankreich.
• Stochastic population models on networks, August 22--24, 2018, Technische Universität München, München, Deutschland.
• Hausdorff School on Log-correlated Fields, Juni 11--14, 2018, Hausdorff Center for Mathematics, Bonn, Deutschland.
• Mini-Workshop on high-dimensional BSDEs and PDEs, Mai 24--25, 2018, Universität Duisburg-Esssen, Deutschland.
• Cumulants, concentration and superconcentration, April 5--6, 2018, Technische Universiät Berlin, Deutschland.
• Genealogies, lines of descent and duality in population models, März 19--21, 2018, Friedrich-Alexander-Universität Erlangen, Deutschland.
• The 13th German Probability and Statistics Days 2018 , Februar 27--März 2, 2018, Albert-Ludwigs-Universität Freiburg, Deutschland.
• Markov processes on metric measure spaces and Gaussian fields, Februar 15--16, 2018, Universität Duisburg-Esssen, Deutschland.
• Stochastic Analysis and Random Fields, Dezember 18--Dezember 22, 2017, Technion, Haifa, Israel.
• Probabilistic Structures in Evolution, Oktober 4--6, 2017, University of Freiburg, Deutschland.
• Genealogies of Interacting Particle Systems, Juli 17--August 18, 2017, Institute for Mathematical Sciences, National University of Singapore.
• Phase transitions and random trees, Juli 13--Juli 14, 2017, Dortmund, Deutschland.
• Multi-Scale Features of Selection in Population Genetics, März 29--31, 2017, EURANDOM, Eindhoven, Niederlande.
• Statistical physics, Learning, Inference and Networks, Februar 26--März 3, 2017, Les Houches, France.
• A Guided Tour Through Random Media, Dezember 12--16, 2016, EURANDOM, Eindhoven, Niederlande.
• Probabilistic models in evolutionary biology, November 24--25, 2016, Göttingen, Deutschland.
• "SPP 1590 Don't Mind the Gap SPP 1819.", September 28--30, 2016, Universität zu Köln, Deutschland.
• Analysis and Mathematical Physics 2016, Juni 13--17, 2016, Institute for Low Temperature Physics, Kharkiv, Ukraine.
• 12th German Probability and Statistics Days 2016, März 1--4, 2016, Bochum.
• Spin glasses, random graphs and percolation, Februar 16--20, 2015, Paris.
• Extrema of Branching Processes and Gaussian Free Fields, November 28--29, 2014, Berlin.
• SPP 1590 Colloquium, September 22--24, 2014, Erlangen.
• Population Dynamics and Statistical Physics in Synergy, August 25--29, 2014, EURANDOM, Eindhoven.
• Spin Glasses and Related Topics, Juli 20--25, 2014, Banff, Kanada.
• 11th German Probability and Statistics Days, März 4--7, 2014, Ulm, Deutschland.
• Symmetries and Universality in Mesoscopic Systems, November 3--7, 2013, Langeoog, Deutschland.
• The 8th conference on Extreme Value Analysis, Juli 8--12, 2013, Shanghai.
• Analysis and mathematical physics, Juni 24--28, 2013, Kharkiv, Ukraine.
• Probabilistic Structures in Evolution, September 19-21, 2012, Berlin.
• 8th Cornell Probability Summer School, Juli 16--27. 2012, Ithaca.
• St. Petersburg School in Probability and Statistical Physics, Juni 18--29, 2012, St. Petersburg.
• Large Scale Behaviour of Random Spatial Models, Mai 28--June 2, 2012, Warwick.
• 10th German Probability and Statistics Days, März 6--9, 2012. Mainz.
• Bridging statistical physics and optimization, inference and learning, Februar 19--24, 2012, Les Houches.
• Marie Curie Researchers Symposium, September, 2011, Warschau.
• 5th International Conference on Stochastic Analysis and its Applications, September 5--9, 2011, Bonn.
• 2011 School on Mathematical Statistical Physics, August 29--September 9, 2011, Prag.
• Real Trees, August 2--4, 2011, Essen.
• Extreme Value Statistics in Mathematics, Physics and Beyond, Juli 4--8, 2011, Leiden.
• 4th La Pietra week in Probability at Finaly, Juni 13--17, 2011, Florenz.
• Discrete Mathematics and Probability in Networks and Population Biology, Mai 2--13, 2011, Institute for Mathematical Sciences, Singapur.
• The renormalisation group, März 13--19, 2011, Oberwolfach.
• Inhomogenious random systems, Januar 25--26, 2011, Paris.
• Mini-Workshop on Branching, Coalescence and Random Walks. Januar 18, 2011, Utrecht University.
• Workshop on Probabilistic Techniques in Statistical Mechanics, Oktober 14--16, 2010, TU Berlin.
• Disordered systems and extreme value statistics, September 13--17, 2010, Hausdorff Research Institute for Mathematics, Bonn.
• Junior Trimester Program on Stochastics September 1--Dezember 31, 2010, Hausdorff Research Institute for Mathematics, Bonn.
• 73rd Annual Meeting of the Institute of Mathematical Statistics, August 9--13, 2010, Göteborg.
• 2010 PIMS Summer School in Probability, Juni 21--Juli 11, 2010, University of Washington/Microsoft Research, Seattle, WA.
• Probability, random trees and algorithms, März 8--12, 2010, EURANDOM, Eindhoven.
• 9th German Open Conference on Probability and Statistics, March 2--5, 2010, Leipzig.
• 9. Erlanger-Münchner Tag der Stochastik, Januar 29, 2010, Erlangen.
• Dynamic Random Environments, Dezember 14--18, 2009, EURANDOM, Eindhoven
• Statistical Mechanics on Random Structures, November 15--20, 2009, BIRS, Banff, Kanada.
• The 33rd Conference on Stochastic Processes and Their Applications, Juli 27--31, 2009, TU Berlin, Berlin.
• Mathematical Models from Physics and Biology, April 01--04, 2009, Hausdorff center for mathematics, Bonn.
• Statistical Mechanics Workshop, Interacting Particle Systems, Statistical Mechanics and Probability Theory, Dezember 8--12, 2008, IHP, Paris.
• 8th Probability Day Erlangen-München, November 28, 2008, LMU München, München
• Workshop "Random Spatial Models in Physics and Biology", Oktober 2--3, 2008, ESI, Wien.
• Statistical Mechanics on Random Structures (YEP 2008), März 10--14, 2008, EURANDOM, Eindhoven.
• École d'été «Verres de Spin», Juni 25 -- Juli 6, 2007, IHP, Paris.
• Spring School of the IRTG "Stochastic Models of Complex Processes", März 5--9, 2007, Potsdam.
• Prague Summer School on Mathematical Statistical Mechanics, September 10--23, 2006, CTS, Prag.
• Frankfurter Stochastik-Tage 2006, März 14-17, 2006, Frankfurt am Main.
• Random spatial models from physics and biology, März 16--19, 2005, WIAS, Berlin.
• Equilibrium and Dynamics of Spin Glasses, April 18-23, 2004, Centro Stefano Franscini, Monte Verità, Ascona.