• Project Director, Research project PNIII-P4-ID-PCE2020, "Dimensions and Invariance in Dynamical Systems", from UEFISCDI Romania, 2021-2023.
• Co-organizer of the Analysis Section of the 10-th Congress of Romanian Mathematicians , Pitesti, 30 June-5 July 2023.
• Co-organizer of the Conference Ergodic Theory and Related Fields, Bucharest, 7-11 October 2019.
• Project Director, Research project PN III-P4-ID-PCE-2016-0823, "Dynamics and Differentiable Ergodic Theory", from UEFISCDI Romania, 2017-2019.
• CNRS-IMAR grant 2015 with Univ Lille, France.
• Organizer "Ergodic theory and dynamics" session, International Congress of Romanian Mathematicians, Iasi, June 2015.
• Co-organizer with B. Stratmann of the workshop "Differentiable ergodic theory, dimension theory and stable foliations", Mathematisches ForschungsInstitut Oberwolfach, Germany, 28 Sep-4 Oct 2014.
• Research project "Dynamical systems and smooth ergodic theory" at IHES, Bures-sur-Yvette, France, 3 months 2013-2014.
• Frequent refereeing for many international journals.
• Project Director/Team Leader, Grant PN II-IDEI Cercetare Exploratorie, "Numerical invariants and geometric properties for classes of dynamical systems" 2009-2011, from CNCSIS-Romania.
• Awards from CNCSIS (Romania) for papers published in the period 2008-present.
• CNCSIS prize for Habilitation thesis, 2015.
• Member Global Organizing Committee, 8-th AIMS International Conference on Dynamical Systems and Applications, Dresden, Germany, May 2010.
• Co-organizer, with B. Stratmann of the "Hyperbolic Dynamics and Smooth Ergodic Theory" Section, 8-th AIMS International Conference on Dynamical Systems and Applications, Dresden, Germany, May 2010.
• Prize "Simion Stoilow" of the Romanian Academy, 2007.
• Reviewer for Math Reviews, and for Zentralblatt Math.
• Participant in an NSF (National Science Foundation) Grant in Dynamics and Ergodic Theory, Univ. North Texas (M. Urbanski), Feb-Mar 2007.
• Member of the research team of grant CEEX 2006-2008, "Analiza complexa si domenii conexe", from the Romanian Ministry of Education and Research. Member also in other research grants in analysis, in the IMAR team.
• Co-organizer scientific exchange program in Dynamical Systems, between Romanian and Polish Academies, 2004-2005.
• Rackham Research Fellowship, University of Michigan , USA, 1999.
• Teaching/Research Assistantships, Univ. of Michigan, Ann Arbor, USA, 1995-1998.
• National Merit Fellowships, Univ. of Bucharest, 1990-1995.

Publications

1. Exact dimensional measures in deterministic and random systems, in Recent Developments in Fractals and Related Fields, 2024, Springer Switzerland, to appear.
2. Amalgamated pressure for multipotentials, preprint 2024.
3. Invariant measures for non-conformal fibered systems with singularities, Journal of Functional Analysis, vol 284, 9, May 2023.
4. Inverse pressure for finitely generated semigroups , joint with A. Bis, Nonlinear Analysis, vol 222, 2022.
5. Geometry of measures in random systems with complete connections, joint with M. Urbanski, Journal of Geometric Analysis, (2022) 32:162.
6. Pressures for multi-potentials in semigroup dynamics, preprint 2021.
7. Thermodynamic formalism for invariant measures in iterated function systems with overlaps, Communications in Contemporary Mathematics, vol 24, 6, 2150041 (2022).
8. Dimensions of measures, degrees, and folding entropy in dynamics, Revue Roumaine de Mathematiques Pures et Appliquees, 68, 2023, 149-167.
9. Smale endomorphisms over graph-directed Markov systems, joint with M. Urbanski, Ergodic Theory and Dynamical Systems, Vol 41, nr 8, 2021, 2508-2541.
10. Hyperbolic lifts and estimates for overlap numbers, Journal of Statistical Physics, vol 177, 468-484, 2019.
11. Skew product Smale endomorphisms over countable shifts of finite type, joint with M. Urbanski, Ergodic Theory and Dynamical Systems, Vol 40, nr 11, 2020, 3105-3149.
12. Random countable iterated function systems with overlaps and applications, joint with M. Urbanski, Advances in Mathematics, vol 298 (2016), 726-758.
13. Overlap functions for measures in conformal iterated function systems, joint with M. Urbanski, Journal of Statistical Physics, vol. 162 (2016), no. 1, 43-62.
14. Measure-theoretic degrees and topological pressure for non-expanding transformations, joint with M. Urbanski, Journal of Functional Analysis, vol 267 (2014), no. 8, 2823-2845.
15. Upper estimates for the stable dimensions of fractal sets with variable number of foldings, joint with B. Stratmann, International Mathematics Research Notices, vol. 2014, no. 23, 6474-6496, 2014.
16. Quantization coefficients in infinite systems, joint with M. Roychodury, Kyoto Journal of Mathematics, 55 (2015), 857-873.
17. Equilibrium measures on saddle sets of holomorphic maps on P^2, joint with J. E Fornaess, Mathematische Annalen, vol. 356, 1471-1491, 2013.
18. Measure-theoretic asymptotic degrees and non-expanding transformations, Oberwolfach Reports , Vol. 11, 4, 2014, 2604-2609.
19. Differentiable Ergodic Theory, Dimension Theory and Stable Foliations, E. Mihailescu and B. Stratmann, editors, Oberwolfach Reports, European Mathematical Society, Vol. 11, no. 4, 2014, 2569--2617, Springer Verlag.
20. Entropy production for a class of inverse SRB measures, joint with M. Urbanski, Journal of Statistical Physics, vol. 150, no.5, 881-888, 2013.
21. Hausdorff dimension of limit sets of countable conformal iterated function systems with overlaps, joint with M. Urbanski, Contemporary Mathematics, vol. 600, American Mathematical Society, 273-290, 2013.
22. Geometric and ergodic aspects in conformal dynamics on invariant fractals, Ann. Univ. Bucharest Math. Ser. 5 (LXIII) (2014), no. 1, 157-168.
23. Equilibrium measures, prehistories distributions and fractal dimensions for endomorphisms, Discrete and Continuous Dynamical Systems, vol. 32, no. 7, 2485-2502, 2012. (ISI journal)
24. On some coding and mixing properties on folded fractals, Monatshefte fuer Mathematik, vol. 167, no. 2, 241-255, 2012, (ISI journal)
25. Higher dimensional expanding maps and toral extensions, Proceedings of the American Mathematical Society, vol.141 (2013), 3467-3475.
26. Hyperbolic dynamics on folded saddle sets, Thermodynamic Formalism, Geometry and Stochastics, MF Oberwolfach Reports 3/2012, 31-34, DOI: 10.4171/OWR/2012/03.
27. Approximations of Gibbs states of arbitrary Holder potentials on hyperbolic folded sets , Discrete and Continuous Dynamical Systems, vol. 32, no. 3, 2012, 961-975. (ISI journal)
28. Inverse limits and statistical properties for chaotic implicitly defined economic models, Journal of Mathematical Analysis and Applications, vol. 394, no.2, 2012, 517-528. (ISI journal)
29. On a class of stable conditional measures, Ergodic Theory and Dynamical Systems, vol. 31, no. 5, 1499-1515, 2011. (ISI journal)
30. Unstable directions and fractal dimensions for a family of skew products with overlaps in fibers, Mathematische Zeitschrift, vol. 269, 2011, 733-750. (ISI journal)
31. Local geometry and dynamical behavior on folded basic sets, Journal of Statistical Physics, vol. 142, 2011, 154-167. (ISI journal)
32. Hausdorff dimension of the limit set for conformal iterated function systems with overlaps, joint with M. Urbanski, Proceedings of the American Mathematical Society, vol. 139, 2011, 2767-2775. (ISI journal)
33. Asymptotic distributions of preimages for endomorphisms, Ergodic Theory and Dynamical Systems, vol. 31, 2011, 911-935. (ISI journal)
34. Relations between stable dimension and the preimage counting function on basic sets with overlaps, joint with M. Urbanski, Bulletin of the London Mathematical Society, vol. 42, 2010, 15-27. (ISI journal)
35. Physical measures for multivalued inverse iterates near hyperbolic repellors, Journal of Statistical Physics, vol. 139, no. 5, 2010, 800-819 (ISI journal).
36. Metric properties of some fractal sets and applications of inverse pressure, Mathematical Proceedings Cambridge Phil. Soc., vol. 148, no.3, May 2010, 553-572. (ISI journal)
37. Ergodic properties for some non-expanding non-reversible systems, Nonlinear Analysis: Theory, Methods & Applications, vol. 73, 2010, 3779-3787. (ISI journal)
38. Dynamics on higher dimensional real or complex fractals, Revue Roumaine de Mathematiques Pures et Appliquees, vol. LIV, no.5-6, 2009, 513-524.
39. Metric properties and dynamics for conformal maps, Proceedings of the International Congress of Romanian Mathematicians Bucharest 2007, pg. 161-169, Ed. Academiei 2009.
40. Transversal families of hyperbolic skew products , joint with M. Urbanski, Discrete and Continuous Dynamical Systems, vol. 21, no.3, 907-928, 2008. (ISI journal)
41. Inverse pressure estimates and the independence of stable dimension for non-invertible maps, joint with M. Urbanski, Canadian Journal of Mathematics, vol. 60, no. 3, 658-684, 2008. (ISI journal)
42. Unstable manifolds and Holder structures associated with non-invertible maps, Discrete and Continuous Dynamical Systems, 14, 2006, no 3, 419-446. (ISI journal)
43. Estimates for the stable dimension for holomorphic maps, joint with M. Urbanski, Houston Journal of Mathematics, 31 (2), 2005, 367-389. (ISI journal)
44. Inverse topological pressure with applications to holomorphic dynamics in several variables, joint with Mariusz Urbanski, Communications in Contemporary Mathematics, vol.6, no.4, 2004, 653-682. (ISI journal)
45. Holomorphic maps for which the unstable manifolds depend on prehistories, joint with M. Urbanski, Discrete and Continuous Dynamical Systems, vol.9, no.2, 2003. (ISI journal)
46. The set K^- for hyperbolic non-invertible maps, Ergodic Theory and Dynamical Systems, vol. 22, June 2002, 3, 873-888. (ISI journal)
47. Applications of thermodynamic formalism in complex dynamics on P², Discrete and Continuous Dynamical Systems, vol. 7, 4, October 2001, 821-836. (ISI journal)
48. Periodic points for actions of tori in Stein manifolds, Mathematische Annalen 314, 1999, no 1, 39-52. (ISI journal)
49. Periodic Points and Hyperbolicity in Higher Dimensional Complex Dynamics, PH.D Thesis, University of Michigan, 1999.
50. A class of functions which are continuous but nowhere monotonous, Annals of the University of Bucharest, 42/43, 1993/94, 63-71.
51. On some topologies on the space of analytic coherent subsheaves, Revista Matematica, 1994, Bucharest.

• Dynamics of semigroup actions, June 2023, Lodz, Poland.
• Fractals and Related Fields Conference, September 2022, Porquerolles, France.
• Dynamics of (Semi-)Group Actions, June 22-25, 2021, Univ Lodz, Poland.
• Dynamical Systems Seminar, February 2021, Univ Porto, Portugal.
• Dynamics, Measures and Dimensions Conference, Banach Center-Bedlewo, Poland, April 2019.
• Pennsylvania State University, Center for Dynamics and Geometry, USA, April 2018.
• Conference on Thermodynamic Formalism--Applications to Geometry and Number Theory, Bremen, Germany, July 2017.
• International Conference on Complex Analysis and Related Topics, Bucharest, Romania, Jun 2016.
• Fractals and Related Fields III, Porquerolles, France, Sep 2015.
• Millican Colloquium, Univ North Texas, USA, Mar 2015.
• Differentiable Ergodic Theory, Dimension Theory and Stable Foliations, Oberwolfach, Germany, Oct 2014.
• Logic and Dynamics Conference, Denton, USA, June 2014.
• Fractal Geometry and Stochastics Conference, Tabarz, Germany, Mar 2014.
• IMAR Monthly Lecture, Bucharest, Feb 2014.
• Ovidius University Analysis Workshop, Constanta, Romania, May 2013.
• XI-eme Colloque Franco-Roumain de Mathematiques Appliquees, Workshop Exploratoire: Equations aux Derivees Partielles et Applications, Bucharest, Aug. 2012.
• Colloquium Department of Mathematics, University of Bremen, Germany, May 2012.
• Dynamics and Geometry Seminar, University of Bremen, Germany, May 2012.
• Thermodynamical Formalism, Stochastics and Geometry, Mathematisches Forschungsinstitut Oberwolfach, Germany, Jan. 2012.
• Higher Dimensional Dynamics Seminar, University of Michigan, Ann Arbor, USA, Sept. 2011.
• Seventh Congress of Romanian Mathematicians, Brasov, July 2011.
• Hyperbolic Dynamics Session, 8-th AIMS International Conference on Dynamical Systems and Differential Equations, Dresden, Germany, May 2010.
• Algebraic Dynamics Conference, City University of New York, New York, USA, June 2010.
• Dynamical Systems Session, First Pacific Rim Mathematical Association Congress, Sydney, Australia, July 2009.
• Dynamical Systems Conference II, Denton, USA, May 2009.
• Workshop on Recent Trends in Complex Analysis and Related Topics and the 11-th Romanian-Finnish Seminar, Alba-Iulia, Romania, August 2008.
• Dynamics Seminar, Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brazil, February 2008.
• 6-th International Congress of Romanian Mathematicians, Bucharest, July 2007.
• Dynamical Systems Seminar, Denton, USA, March 2007
• Conformal Structures Workshop, Inst. fuer Mathematische Stochastik, Univ. Gottingen, Germany, Dec. 2006
• Dynamical Systems and Harmonic Analysis Seminar, Univ. Paris 11, Orsay, France, Oct. 2006
• Dynamical Systems Seminar, Univ. North Texas, USA, Oct. 2005
• International Conference on Complex Analysis and Related Topics and the Romanian-Finnish Seminar, Cluj, Romania, Aug. 2005
• Holomorphic Dynamics Seminar, Centro de Giorgi, Univ. Pisa, Italy, Nov. 2004
• Millican Colloquium, Univ. North Texas, USA, Oct. 2004
• Dynamical Systems Seminar, Univ. of Warsaw, Poland, May 2004
• Complex Analysis and Dynamics Seminar, IMPAN-Banach Center, Warsaw, April 2004
• International Conference on Dynamical Systems, Denton, USA, May 2003
• Conference on Holomorphic Dynamics in Several Variables, Scuola Normale Superiore, Pisa, Italy, Apr 1999
• Complex Analysis Seminar, Texas A&M Univ, USA, April 1999
• Midwest Several Complex Variables Conference, Bloomington, USA, Feb. 1999
• Complex Dynamics Seminar, Univ. Michigan, USA, Nov. 1998

Advising and Teaching

• Fall 2018, "Ergodic theory and applications".
• Fall 2016, "Dynamics on fractals".
• Fall 2015, "Invariant probabilities and applications".
• Spring 2014, "Differentiable Ergodic Theory".
• 2009-2010, "Analysis on fractals".
• 2008-2009, "Differentiable Dynamics".
• 2007-2008, "Topology and dynamics for hyperbolic maps".
• In 2006 I taught two courses at SNSB for some selected best students of Romanian universities, "Introduction to dynamical systems", and "Ergodic theory with applications to dynamics".

Mathematical Links

• IMAR, Institute of Mathematics of the Romanian Academy--Center of Excellence--CERES Program--Conferences
• AMS Website
• Ergodic Theory and Dynamical Systems Journal
• Journal of Statistical Physics
• Dynamics Journals at AIMS
• Dynamics at U. North Texas
• Analysis at U. Michigan
• IMPA, Rio de Janeiro
• Mathscinet
• International Math Servers at Florida State
• Trieste
• MSRI
• Here you can see some pretty amazing fractals
• Conferences in Dynamical Systems

Other Links

• Pictures of Bucharest, and Romania.
• Chess
• Game of GO
• History is one of my passions. I like all kind of history, especially that of the Roman Republic and Empire, Byzantine history, Middle Ages, also WWII and Cold War history.
• Ziare romanesti

Created initially August 2000.