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my publications

journal articles
  1. Anke Kalauch, Bas Lemmens and Onno van Gaans, Bands in partially ordered vector spaces with order unit, Positivity 10 (2015), no. 3, 489-511. (open access)
  2. Taleb Alkurdi, Sander C. Hille and Onno van Gaans, Persistence of stability for equilibria of map iterations in Banach spaces under small random perturbations. Potential Anal. 42 (2015), no. 1, 175-201. (manuscript pdf file)
  3. Joris Bierkens and Onno van Gaans, Dissipativity of the delay semigroup. J. Differential Equations 257 (2014), no. 7, 2418-2429. (manuscript pdf file)
  4. Guiling Chen, Onno van Gaans and Sjoerd Verduyn Lunel, Asymptotic behavior and stability of second order neutral delay differential equations. Indag. Math. (N.S.) 25 (2014), no. 3, 405-426. (manuscript pdf file)
  5. Anke Kalauch and Onno van Gaans, Directed ideals in partially ordered vector spaces. Indag. Math. (N.S.) 25 (2014), no. 2, 296-304. (manuscript pdf file)
  6. Anke Kalauch, Bas Lemmens and Onno van Gaans, Riesz completions, functional representations, and anti-lattices. Positivity 18 (2014), no. 1, 201-218. (manuscript pdf file)
  7. Guiling Chen, Onno van Gaans and Sjoerd Verduyn Lunel, Fixed points and pth moment exponential stability of stochastic delayed recurrent neural networks with impulses. Appl. Math. Lett. 27 (2014), 36-42. (manuscript pdf file)
  8. Abdelhadi Es-Sarhir, Michael Scheutzow, Jonas M. T"olle and Onno van Gaans, Invariant measures for monotone SPDEs with multiplicative noise term.Appl. Math. Optim. 68 (2013), no. 2, 275-287. (manuscript pdf file)
  9. Anna Rusinek and Onno van Gaans, Growth bound for the shift semigroup on weighted Sobolev spaces.Arch. Math. (Basel) 101 (2013), no. 2, 149-157.
  10. Taleb Alkurdi, Sander C. Hille and Onno van Gaans, Ergodicity and stability of a dynamical system perturbed by impulsive random interventions. J. Math. Anal. Appl. 407 (2013), no. 2, 480-494. (manuscript pdf file)
  11. Taleb Alkurdi, Sander C. Hille and Onno van Gaans, On metrization of unions of function spaces on different intervals.J. Aust. Math. Soc. 92 (2012), no. 3, 281-297. (manuscript pdf file)
  12. Igor Stojkovic and Onno van Gaans, Invariant measures and a stability theorem for locally Lipschitz stochastic delay equations, Ann. Inst. Henri Poincare Probab. Stat. 47 (2011), no. 4, 1121-1146. (manuscript pdf file)
  13. Onno van Gaans and Anke Kalauch, Tensor products of Archimedean partially ordered vector spaces, Positivity 14 (2010), no. 4, 705-714. (pdf file, Open Access)
  14. Joris Bierkens, Onno van Gaans, and Sjoerd Verduyn Lunel, Estimate on the pathwise Lyapunov exponent of linear stochastic differential equations with constant coefficients, Stoch. Anal. Appl. 28 (2010), no. 5, 747-762.
  15. A. Es-Sarhir, M. Scheutzow, and O. van Gaans, Invariant measures for stochastic functional differential equations with superlinear drift term, Differential Integral Equations 23 (2010), no.1-2, 189-200.
  16. Joris Bierkens, Onno van Gaans, and Sjoerd Verduyn Lunel, Existence of an invariant measure for stochastic evolutions driven by an eventually compact semigroup, J. Evol. Equ.9 (2009), no. 4, 771-786. (pdf file, Open Access)
  17. Bas Lemmens and Onno van Gaans, Dynamics of nonexpansive maps on strictly convex Banach spaces, Israel J. Math. 171 (2009), no. 1, 425-442. (manuscript pdf file)
  18. Markus Riedle and Onno van Gaans, Stochastic integration for Levy processes with values in Banach spaces, Stochastic Process. Appl. 119 (2009), no. 6, 1952-1974. (manuscript pdf file).
  19. Onno van Gaans and Anke Kalauch, Ideals and bands in pre-Riesz spaces, Positivity 12 (2008), no. 4, 591-611. (manuscript pdf file)
  20. O. van Gaans and A. Kalauch, Bands in pervasive pre-Riesz spaces, Oper. Matrices 2 (2008), no. 2, 177-191. (manuscript pdf file)
  21. Bas Lemmens, Beata Randrianantoanina and Onno van Gaans, Second derivatives of norms and contractive complementation in vector valued spaces, Studia Math. 179 (2007), no. 2, 149-166. (manuscript ps file, pdf file)
  22. M. Reiss, M. Riedle and O. van Gaans, On Emery's inequality and a variation-of-constants-formula, Stoch. Anal. Appl. 25 (2007), 353-379. (manuscript ps file, pdf file)
  23. Bas Lemmens and Onno van Gaans, On one-complemented subspaces of Minkowski spaces with smooth Riesz norms, Rocky Mountain J. Math 36 (2006), no. 6, 1937--1955. pdf file
  24. M. Reiss, M. Riedle and O. van Gaans, Delay differential equations driven by Levy processes: Stationarity and Feller properties, Stochastic Process. Appl. 116 (2006), no. 10, 1409-1432.
  25. A. Kalauch and O. van Gaans, Disjointness in partially ordered vector spaces, Positivity 10 (2006) no. 3, 573-589.
  26. Onno van Gaans and Jan van Neerven, Invariant measures for stochastic Cauchy problems with asymptotically unstable drift semigroup, Elect. Comm. in Probab. 11 (2006), 24-34.
  27. Onno van Gaans, An elementary example of an order bound dual space that is not directed, Positivity 9 (2005), no. 2, 265-267.
  28. Onno van Gaans, A series approach to stochastic differential equations with infinite dimensional noise, Integral Equations Operator Theory 51 (2005) no. 3, 435-458.
  29. Onno van Gaans, Subspaces of normed Riesz spaces, Positivity 8 (2004) no. 2, 143-164.
  30. Onno van Gaans and Sjoerd Verduyn Lunel, Long term behavior of dichotomous stochastic differential equations in Hilbert spaces, Commun. Contemp. Math. 6 (2004) no. 3, 349-376.
  31. Bas Lemmens and Onno van Gaans, Periods of order preserving nonexpansive maps on strictly convex normed spaces, J. Nonlinear Convex Anal. 4 (2003) no. 3, 353-363.
  32. Bas Lemmens and Onno van Gaans, Iteration of linear p-norm nonexpansive maps, Linear Algebra Appl. 371 (2003), 265-276.
  33. Onno van Gaans, Seminorms on ordered vector spaces that extend to Riesz seminorms on larger Riesz spaces, Indag. Mathem. (N.S.) 14 (2003) no. 1, 15-30.
  34. O. van Gaans and S. Verduyn Lunel, Invariant measures for dichotomous stochastic differential equations in Hilbert spaces, C.R. Acad. Sci. Paris, Ser. I 334 (2002), 1083-1088.
  35. Peter Hall, Frits Ruymgaart, Onno van Gaans, and Arnoud van Rooij, Inverting noisy integral equations using wavelet expansions: a class of irregular convolutions, in: State of the Art in Probability and Statistics, Festschrift for Willem R. van Zwet, pp. 533-546, IMS Lecture Notes Monogr. Ser., 36, Institute of Mathematical Statistics, Beachwood, Ohio, 2001.
  36. Ph. Clement and O. van Gaans, An analytical introduction to stochastic differential equations: Part I-The Langevin equation, Rend. Istit. Mat. Univ. Trieste 32 (2000), 217-269. pdf file
  37. Onno van Gaans, Extending Monotone Seminorms on Partially Ordered Vector Spaces, Indag. Mathem. (N.S.) 9 (1998) no. 3, 341-349.
  38. Onno van Gaans, Multiresolutions and Primitives, Approx. Theory Appl. (N.S) 13 (1997) no. 2, 49-56.

in proceedings and books
  1. Onno van Gaans, On R-boundedness of Unions of Sets of Operators, in: "Partial Differential Equations and Functional Analysis, The Philippe Clement Festschrift", Operator Theory: Advances and Applications, Vol. 168, Koelink, E., van Neerven, J., de Pagter, B., and Sweers, G. (Eds), Birkhauser Verlag, Basel 2006, pp. 97-111. ps file, pdf file
  2. Onno van Gaans, The Riesz part of a positive bilinear form, in: Circumspice, Various papers in and around Mathematics in honor of Arnoud van Rooij, pp. 19-30, Subfaculteit Wiskunde, Katholieke Universiteit Nijmegen, 2001. ps file, pdf file

other articles
  1. Danny Beckers en Onno van Gaans, Eerlijk vals spelen, Euclides 73 (1998) no. 7, 224-226.

preprints
  1. (with A. Kalauch) Tensor products of Archimedean partially ordered vector spaces, report MI-2010-01, Mathematical Institute, Leiden University, 2010. pdf file
  2. (with A. Kalauch) Ideals and Bands in Pre-Riesz Spaces, report MATH-AN-01-2006, Institute of Analysis, TU Dresden, 2006. pdf file
  3. (with A. Kalauch) Bands in pervasive pre-Riesz spaces, report MI 2006-14, Mathematical Institute , Leiden University, 2006. pdf file
  4. Invariant measures for stochastic evolution equations with Hilbert space valued Levy noise, Technical Report 05-08, Faculty of Mathematics and Computer Science, Friedrich Schiller Universtity, Jena, 2005 ps file, pdf file
  5. (with Markus Reiss and Markus Riedle) Delay differential equations driven by Levy processes: stationarity and Feller properties, Preprint 05-6, Institute of Mathematics, Humboldt University of Berlin, 2005 pdf file

thesis

  1. Onno van Gaans, Seminorms on ordered vector spaces, Katholieke Universiteit Nijmegen, 1999.

course notes

  1. Notes of the first part of the seminar "Evolution equations in probability spaces and the continuity equation", Spring 2006 ps file, pdf file
  2. Probability measures on metric spaces, notes of the seminar "Stochastic Evolution Equations", Delft University of Technology, Winter 2002/2003. ps file, pdf file
  3. (with Jan van Neerven) Stochastic Differential Equations, Stieltjes cursus, Leiden, 19-23 februari 2001, report MI 2001-18, Universiteit Leiden, 2001. ps file