In Memoriam Ante Mimica, 20.1.1981. - 9.6.2016.

Education

  • University of Zagreb, Croatia, Ph. D. 2009
  • University of Zagreb, Croatia, B. Sc. 2003

Employment

  • University of Zagreb, Croatia, Assistant Professor, 2013-.
  • University of Bielefeld, Germany, Postdoc, 2010-2012
  • University of Zagreb, Croatia, Teaching Assistant, 2003-2009

Publications

  1. A. Mimica. Harnack inequalities for some Lévy processes. Potential Anal. 32 (2010), 275-303
  2. A. Mimica. Heat kernel estimates for jump processes with small jumps of high intensity. Potential Anal. 36 (2012), 203-222
  3. A. Mimica. Harnack inequality and Hölder regularity estimates for a Lévy process with small jumps of high intensity. J. Theor. Probab. 26 (2013), 329--348
  4. P. Kim, A. Mimica. Harnack inequalities for subordinate Brownian motions. Electron. J. Probab. 17 (2012), 1-23
  5. A. Mimica. On harmonic functions of symmetric Lévy processes. Ann. Inst. H. Poincaré Probab. Statist. 50 (2014), 214-235
  6. M. Kassmann, A. Mimica. Analysis of jump processes with nondegenerate jumping kernels. Stoch. Process. Appl. 123 (2013), 629-650
  7. P. Kim, A. Mimica. Green function estimates for subordinate Brownian motions: stable and beyond. Trans. Amer. Math. Soc. 366 (2014), 4383-4422
  8. A. Mimica, Z. Vondraček. Unavoidable collections of balls for isotropic Lévy processes. Stoch. Process. Appl. 124 (2014), 1303-1334
  9. A. Mimica, Z. Vondraček. Unavoidable collections of balls for censored stable processes, J. Math. Anal. Appl. 419 (2014), 938-958

Shorter Visits

  • Department of Mathematics, University of Illinois at Urbana-Champaign, US
  • Department of Mathematics, Philipps University, Marburg, Germany
  • TU Dresden, Germany
  • Department of Mathematics, University of Florida, Gainesville, US
  • Bielefeld University, Germany
  • Friedrich-Schiller-Universität, Jena, Germany
  • Seoul National University, Seoul, South Korea
  • Department of Mathematics, University of Illinois at Urbana-Champaign, US, Dec 2015
  • TU Dresden, Germany, Apr 26-30 2015

Invited Talks

  • Heat kernel estimates for subordinate Brownian motions, Probability and Analysis, May 4-8 2015, Bedlewo, Poland
  • Intrinsic scaling for nonlocal operators, 7th International Conference on Stochastic Analysis and its Applications, Aug 6-11 2014, Seoul, South Korea
  • Continuity properties of harmonic functions for jump processes, Nonlocal Operators: Analysis, Probabilty, Geometry and Applications, Jul 9-14 2012, Bielefeld, Germany
  • Continuity properties of harmonic functions for jump processes, 5th International Conference on Stochastic Analysis and its Applications, Sep 5-9 2011, Bonn, Germany

Contributed Talks

  • Harnack inequalities for subordinate Brownian motions, Stochastics and Real World Models: Recent Progress and New Frontiers, Xuzhou, China, Oct 15-18 2012
  • Harnack inequalities for subordinate Brownian motions, 6th International Conference on Stochastic Analysis and Its Applications, Bedlewo, Poland, Sep 10-14 2012
  • Slow Subordinate Brownian Motions, Stochastic and Real World Models 2011, Universität Bielefeld, Germany, Jul 18-22 2011
  • Jump Processes and Regularity Estimates, Workshop on Analysis of jump pro- cesses, Universität Bielefeld, Germany, Mar 15 2011
  • Heat Kernel Estimates for a Subordinate Brownian Motion, Nonlocal Operators and Partial Differential Equations, Bedlewo, Poland, Jun 27-Jul 3 2010
  • Heat Kernel Estimates for a Subordinate Brownian Motion, Seminar on Stochastic Processes, University of Central Florida, Orlando, US, Mar 11-13 2010
  • Harnack Inequalities for some Lévy Processes, 9th German Open Conference on Probability and Statistics, Leipzig, Germany, Mar 2-5 2010
  • Harnack Inequality for some Random Walks in Rd, 3rd Conference on Stochastic Processes and Their Applications, Berlin, Germany, Jul 27-31 2009
  • Harnack Inequality for some Random Walks in Rd, Workshop on Jump Processes, Dresden, Germany Jan 15-17, 2009

Other Talks

  • Intrinsic scaling properties for nonlocal operators, Probability Seminar, TU Dresden, Germany, Apr 30 2015
  • Intrinsic scaling properties for nonlocal operators, Probability Seminar, University of Illinois, Urbana-Champaign, US, Dec 9 2014
  • Continuity Properties of Harmonic Functions for Jump Processes, Oberseminar Analysis, Geometrie und Stochastik, Friedrich-Schiller-Universität, Jena, Germany, Jun 7, 2011
  • Harnack inequalities for jump processes revisited, Oberseminar Geometric Analysis, Universität Bielefeld, Germany, Jan 18 2011
  • Harnack Inequalities for some Lévy Processes, Probability Seminar, University of Florida, Gainesville, Florida, US, March 2010

Awards

  • Award of the Faculty of Science, University of Zagreb, 2013