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Publications

Click on the item to get a pdf file with preprint. If the paper already appeared, please refer to the appropriate journal.
Authors with * are (were) undergraduate students working under my supervision.

Submitted

  1. (with M. Broom) A general framework for modelling territorial interactions, submitted
  2. (with H. Baker and M. Broom) A game theoretic model of parasitism with strategic arrivals and departures of beetles at dung pats, submitted
  3. (with M. Johanis) A three player singled out game, submitted
  4. (with R. Gove*) On Formal Language Theory for Natural Language Processing, submitted

Accepted for publication

Published

    2012

  1. R. Gove*, W. Chen*, N. Zweber, R. Erwin*, J. Rychtář, D. Remington, Effects of causal networks on the structure and stability of resource allocation trait correlations, Journal of Theoretical Biology, 293, 1-14, doi:10.1016/j.jtbi.2011.09.034

    2. 2011

  2. (with M. Broom and B. Stadler*) Evolutionary dynamics on graphs - the effect of graph structure and initial placement on mutant spread, the Journal of Statistical Theory and Practice, 2011, Volume 5, No 3, 369-381
  3. (with M. Broom, C. Hadjichrysanthou) Evolutionary games on star graphs under various updating rules, Dynamic Games and Its Applications, 2011, Volume 1, Number 3, 386-407 (DOI) 10.1007/s13235-011-0022-7
  4. (with M. Wilhelm*, M. Chhetri, O. Rueppell) A Game Theoretical Analysis of the Mating Sign Behavior in the Honey bee, Bulletin of Mathematical Biology, 73, 626-638
  5. (with M. Broom) Kleptoparasitic melees - modelling food stealing featuring contests with multiple individuals, Bulletin of Mathematical Biology, 73, 683-699

    6. 2010

  6. (with M. Johanis) An enhanced model of a two player singled out game, Journal of Statistical Theory and Practice, 4 (4), 679-697, 2010
  7. (with J. Krenicky*) On Volume-Surface area relationship, Involve, a Journal of Mathematics (2010) 3 (1), 1-8.
  8. (with E. Jones, R. Bunch, R. Gove*) Calculating the Size of the Neighborhod in Spatial Social Networks, Far East Journal of Applied Mathematics 39 (2010), 53-69.
  9. (with M. Broom, M. Crowe, M. Fitzgerald*) The stochastic modelling of kleptoparasitism using a Markov process, Journal of Theoretical Biology 2010, 264(2):266-272, doi:10.1016/j.jtbi.2010.01.012
  10. (with M. Broom, C. Hadjichrysanthou, B. Stadler*) Two results on evolutionary processes on general non-directed graphs, Proc. R. Soc. A 2010 466(2121), 2795–2798. ( doi: 10.1098/rspa.2010.0067)
  11. (with M. Broom and C. Hadjichrysanthou) Evolutionary games on graphs and the speed of the evolutionary process, Proc. Royal Soc., Ser. A 466 (2010), 1327-1346, doi 10.1098/rspa2009.0487.

    12. 2009

  12. (with M. Johanis) On the singled out game, International Journal of Mathematics, Game Theory and Algebra 18 (2009), 479-488.
  13. (with M. Broom) A game theoretical model of kleptoparasitism with incomplete information, Journal of Mathematical Biology 2009 (59) 631-649.
  14. (with M. Broom and R. Luther) A Hawk-Dove game in kleptoparasitic populations, Journal of Combinatorics, Information & System Science 2009 (4), 449-462.
  15. (with M. Broom and B. Stadler*) Evolutionary Dynamics on Small-Order Graphs, Journal of Interdisciplinary Mathematics 2009 (12), 129-140.
  16. (with S. Grundman* and L. Komarkova) A Hawk-Dove game in finite kleptoparasitic populations, Journal of Interdisciplinary Mathematics 2009 (12), 181-201.
  17. (with M. Crowe, M. Fitzgerald* and D. Remington) On deterministic and stochastic models of kleptoparasitism, Journal of Interdisciplinary Mathematics 2009 (12), 161-180.
  18. (with M. Chhetri, N. Johnson* and O. Rueppell) Revisiting the variance-based selection model of diploid drone production for multiple mating in honey bees, Journal of Interdisciplinary Mathematics 2009 (12), 141-160
  19. (with R. Gove*) On the exponential function, Mathematical Spectrum 2009 (41), 116-122.
  20. (with M. Crowe, M. Fitzgerald*, D. Remington, G. Ruxton) Game Theoretic Model of Brood Parasitism in a dung beetle Ontophagus taurus, Journal Evolutionary Ecology 23 (2009), 765-776, DOI 10.1007/s10682-008-9271-3.

    21. 2008

  21. (with M. Broom and C. Sykes*) The evolution of kleptoparasitism under adaptive dynamics without restrictions, Journal of Interdisciplinary Mathematics Vol 11 (2008), No 4, pp479-494.
  22. (with M. Broom, R. Luther and G. Ruxton) A game-theoretic model of kleptoparasitic behavior in polymorphic populations, Journal of Theoretical Biology 2008 (255) 81-91, DOI 10.1016/j.tbi.2008.08.001.
  23. (with M. Broom) An analysis of the fixation probability of a mutant on special classes of non-direction graphs, Proc. Royal Soc., Ser. A 2008 (464), 2609-2627.
  24. (with O. Rueppell and N. Johnson*) Variance-Based Selection May Explain Mating Patterns in Social Insects, Biology Letters 2008 (4), 270-273.
  25. (with B. Stadler*) Evolutionary Dynamics on Small-World Networks, International Journal of Computational and Mathematical Sciences 2 (1), 2008, 1-4.

    26. 2007

  26. (with O. Rivasplata and B. Schmuland) Reversibility for diffusions via quasi-invariance, Acta Univ. Carol. - Math. et Phys 48, 1 (2007), 3-10.
  27. (with M. Johanis) On uniformly Gateaux smooth norms and normal structure, PAMS 135 (2007), 1511-1514.
  28. (with R. D. MacMartin*) On spatial Rock-Paper-Scissors game, Morehead Electronic Journal of Applicable Mathematics 5 (2007)
  29. (with J. Spurny) On Weak* Kadec-Klee norms, Canad. Math. Bull. 50 (4), 2007, 610-618.
  30. (with M. Broom) On evolution of a kleptoparasitic system under adaptive dynamics, J. Math. Biol. 54, 151-177 (2007)

    31. 2006

  31. (with J. Krenicky*) Note on Gabriel's horn, Furman Electronic Journal of Undergraduate Mathematics, 2006, vol 11, pages 4-7.
  32. (with O. Rivasplata and C. Sykes*) Evolutionary games in finite populations, Pro Mathematica 20 (39-40) (2006), 147-164
  33. (with S. Grivaux) Invariant subspaces of $X^{**}$ under the action of biconjugates, Czech. Math. J. 56 (131), (2006), 61-77.

    34. 2005

  34. On smoothness in WCG spaces, Canad. Bull. Math. 48 (2005), 455-459.
  35. (with P. Hajek) Renorming James tree space, Trans. Amer. Math. Soc. 357 (2005), 3775-3788.
  36. Pointwise uniformly rotund norms, Proc. of the AMS 133 (2005), 2259-2266.

    37. 2004 and sooner

  37. On Biorthogonal systems and Mazur's intersection property, Bull. of Austral. Math. Soc. 69 (2004), 107-111.
  38. Renormings of C(K) spaces, Proc. of the AMS 131 (2003), 2063-2070.
  39. Uniformly G\^ateaux differentiable norms in spaces with unconditional basis, Serdica Math. J. 26 (2000), 353-358.

Other works

  1. (with J. Krenicky*) On Replicator Dynamics and Evolutionary Games, Explorations - The Journal of Undergraduate Research and Creative Activities for the state of North Carolina, 2006, 73-79
  2. (with R. Gove*) A slice of Pi, Explorations - The Journal of Undergraduate Research and Creative Activities for the state of North Carolina (2007)
  3. On invariant subspaces of biduals, WDS'02 - Proceedings of contributed papers, pages 173-176, 2002.
  4. URED norms, WDS'01 - Proceedings of contributed papers, 90-94, 2001.
  5. Noneuclidean Geometry, Proc. of Math. Competition for High Schools (non refereed), Parts 1, 3, 5, (1996/10, 1997/01, 1997/04), 12 pages in total.
 

Page updated: 07-Jan-2012

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Jan Rychtar
The University of North Carolina at Greensboro
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Greensboro, NC 27402-6170
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