Daniël Worm

Drs. D.T.H. Worm
Mathematical Institute
University of Leiden

PO Box 9512
2300 RA Leiden
The Netherlands
tel. 0715277117
room: 217
e-mail: daniel dot worm at gmail dot com

Research:

I am doing a PhD at the Mathematical Institute. My promotor is Prof. Dr. S.M. Verduyn Lunel and my copromotor is Dr. S. Hille.

Proefschrift / PhD Thesis

Semigroups on spaces of measures [(pdf)]
Stellingen [(pdf)]
Verdediging: donderdag 16 september 2010 om 15:00 in de Senaatskamer van het Academiegebouw, Rapenburg 73 te Leiden.

Publications

  1. Worm, D.T.H. and S.C. Hille (2010), Ergodic decompositions associated to regular Markov operators on Polish spaces Accepted for publication in Ergodic Theory and Dynamical Systems. [(link)]
  2. Hille, S.C. and D.T.H. Worm (2009), Continuity properties of Markov semigroups and their restrictions to invariant L1-spaces, Semigroup Forum 79, 575-600. [(link)]
  3. Hille, S.C. and D.T.H. Worm (2009), Embedding of semigroups of Lipschitz maps into positive linear semigroups on ordered Banach spaces generated by measures, Integr. Equ. Oper. Theory 63, 351-371. [(link)]

Reports and proceedings

  1. Szarek, T. and D.T.H. Worm (2010), Ergodic measures of Markov semigroups with the e-property Report MI 2010-09, Leiden University: Mathematical Institute. [(pdf)] (submitted)
  2. Worm, D.T.H. and S.C. Hille (2010), Equicontinuous families of Markov operators on complete separable metric spaces with applications to ergodic decompositions and existence, uniqueness and stability of invariant measures. Slightly adapted version of report MI 2010-03, Leiden University: Mathematical Institute. [(pdf)] (submitted)
  3. Worm, D.T.H. and S.C. Hille (2010), An ergodic decomposition associated to regular jointly measurable Markov semigroups on Polish spaces. Report MI 2010-02, Leiden University: Mathematical Institute. [(pdf)] (submitted)
  4. Worm, D.T.H. and S.C. Hille (2009), Ergodic decompositions associated to regular Markov operators on Polish spaces. Report MI 2009-15, Leiden University: Mathematical Institute. [(pdf)]
  5. Hille, S.C. and D.T.H. Worm (2009), Continuity properties of Markov semigroups and their restrictions to invariant L1-spaces. Report MI 2009-04, Leiden University: Mathematical Institute. [(pdf)]
  6. Hille, S.C. and D.T.H. Worm (2008), Embedding of semigroups of Lipschitz maps into positive linear semigroups on ordered Banach spaces generated by measures. Report MI 2008-12, Leiden University: Mathematical Institute. [(pdf)]
  7. Hille, S.C. and D.T.H. Worm (2007), Global existence of positive mild solutions to a class of kinetic chemotaxis equations. Report MI 2007-47, Leiden University: Mathematical Institute. [(pdf)]
  8. E. Cator, T.J. Dijkema, M.E. Hochstenbach, W. Mulckhuyse, M. Peletier, G. Prokert, W. van der Weij, D.T.H . Worm (2007). A sampling problem from lithography for chip layoutProceedings of the fifty-eighth European study group with industry. [(pdf)]

Talks

  1. Presentation at the Mathematics Department of METU in Ankara on August 25, 2010. [(pdf)]
  2. Presentation at the Analysis Seminar in Leiden on June 10, 2010. [(pdf)]
  3. Presentation at the NDNS+ workshop in Eindhoven on April 15, 2010. [(pdf)]
  4. Presentation at the Analysis Seminar on May 28, 2009. [(pdf)]
  5. Presentation at the Analysis Seminar on October 2, 2008. [(pdf)]
  6. Presentation at the NDNS+ workshop in Apeldoorn on May 23, 2008. [(pdf)]
  7. Presentation at the Analysis Seminar on February 21, 2008. [(pdf)]
  8. Presentation at the Analysis Seminar on October 4, 2007. [(pdf)]

Master Thesis (doctoraal scriptie):

[(pdf)] The interplay between flows and C*-algebras (september 2006).
Latest update: June 2, 2010.