OLENA KARPEL

Citizenship: Ukraine

Address : Mathematical Division,
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine,
47 Lenin Ave, Kharkiv, 61103, Ukraine

Tel: +38 (057) 341-09-85

Fax: +38 (057) 340-33-70

E-mail: helen.karpel@gmail.com, karpel@ilt.kharkov.ua

CURRENT POSITION

Research Fellow, Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine, February 2015 – present.

PREVIOUS POSITIONS

Junior Research Fellow, Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine, November 2012 – January 2015.

EDUCATION

Ph.D. in Mathematics, B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine, 2013. Dissertation: “Measures on Cantor sets and their classification”.
Advisor: Dr. S. Bezuglyi.

M.Sc. in Mathematics (with Distinction), Kharkiv National University, Ukraine, 2009. Master’s thesis: “Ergodic measures invariant with respect to homeomorphisms of a Cantor set”. Advisor: Dr. S. Bezuglyi.

B.Sc. in Mathematics (with Distinction), Kharkiv National University, 2008.
Bachelor’s thesis: “Bernoulli measures on a Cantor set”. Advisor: Dr. S. Bezuglyi.

RESEARCH INTERESTS

Ergodic Theory and Topological Dynamics, Orbit Equivalence, Symbolic Dynamical Systems.

RESEARCH AWARDS AND SCHOLARSHIPS

  •  Scholarship of the National Academy of Sciences of Ukraine for young scientists 2014.
  •  The winner of the Mathematics Competition of Shevchenko Scientific Society and U.S.- Ukraine Foundation 2013.
  •  Scholarship of the Akhiezer Foundation 2010.
  •  Scholarship of the Yuri Sapronov fund 2008 - 2009.
  •  First place at All-Ukrainian competition of student research papers, Donetsk, Ukraine, 2008.

LIST OF PUBLICATIONS AND PREPINTS

  1. M. Adamska, S. Bezuglyi, O. Karpel and J. Kwiatkowski, Subdiagrams and invariant measures on Bratteli diagrams (submitted)
  2. S. Bezuglyi, O. Karpel, Bratteli diagrams: structure, measures, dynamics (submitted)
  3. S. Bezuglyi, O. Karpel and J. Kwiatkowski, Subdiagrams of Bratteli diagrams supporting finite invariant measures, J Math Phys Anal Geo 11 (2015), 3-17.
  4. S. Bezuglyi and O. Karpel, Orbit Equivalent Substitution Dynamical Systems and Complexity, Proc. Amer. Math. Soc. 142 (2014), 4155-4169.
  5. O.M. Karpel, Good Measures on Locally Compact Cantor Sets, J Math Phys Anal Geo, 8(2012), 260-279.
  6. O. Karpel, Infinite measures on Cantor spaces, J Difference Equ. Appl. 18 (2012), 703-720.
  7. S.Bezuglyi and O.Karpel, Homeomorphic Measures on Stationary Bratteli Diagrams, J. Funct. Anal. 261(2011), 3519-3548.

CONFERENCES AND WORKSHOPS

  • Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Krakow (Poland), 20–23 November 2014.
  • Activity “Dynamics and Numbers”, Bonn (Germany), 1 June – 31 July 2014.
  • Ergodic Theory and Dynamical Systems, Torun (Poland), 12–16 May 2014.
  • Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Warsaw (Poland), 24-27 April, 2014.
  • School on Geometry and Dynamics, Marseille (France), 31 March–4 April 2014.
  • Wandering Seminar: A mini-conference on Ergodic Theory and Dynamical Systems, Jagiellonian University in Krakow (Poland), 23–26 January 2014.
  • 5th Visegrad Conference on Dynamical Systems, Olsztyn (Poland), 2–6 September 2013.
  • 28th Journees Arithmetiques, Grenoble (France), 1–5 July, 2013.
  • Summer School “Number Theory and Dynamics”, Grenoble (France), 17-28 June, 2013.
  • Dynamical Systems Workshop, University of Maryland, College Park, MD (USA), 4–7 April 2013.
  • Ergodic Theory Workshop, Chapel Hill, NC (USA), 21–24 March 2013.
  • EMS-IAMP Summer School on Quantum Chaos, Vienna (Austria), 30 July–3 August 2012.
  • ICTP-ESF School and Conference in Dynamical Systems, Trieste (Italy), 21 May–8 June 2012.
  • Modern Dynamics and its Interaction with Analysis, Geometry and Number Theory, Bedlewo (Poland), 27 June–24 July 2011.
  • Czech-Slovak-Spanish Workshop on Discrete Dynamical Systems, LaManga del Mar Menor (Spain), 20–24 September 2010.

SEMINAR AND COLLOQUIUM TALKS

  • University of Bristol, Bristol, UK, May 2015.
  • Jagiellonian University, Krakow, Poland, November 2014.
  • Nicolas Copernicus University, Torun, Poland, April 2014, November 2014.
  • Institute of Mathematics NAS of Ukraine, Kyiv, Ukraine, December 2013.
  • University of Maryland, College Park, Maryland, United States, April 2013.

RESEARCH VISITS

  • University of Bristol, Bristol, UK, 1 week in 2015.
  • Max Planck Institute for Mathematics, Bonn, Germany, 2 weeks in 2014.
  • Nicolaus Copernicus University, Torun, Poland, one month in 2014.
  • University of Maryland, College Park, MD, USA, 2 weeks in 2013

ADDITIONAL INFORMATION

  • Reviewer for Mathematical Reviews Database.
  • Member of the Young Scientists Council of the Mathematical Department of the National Academy of Sciences of Ukraine.
  •  Member of Kharkiv Mathematical Society.