Pawel Gora

Personal Home Page

http://www.mathstat.concordia.ca/faculty/pgora/

Articles in Scholarly Journals [Incomplete List]

  1. Random dynamics and finance: constructing implied binomial trees from a predetermined stationary density
    Applied Stochastic Models in Business and Industry, vol. 23, no. 3, pp. 181–212, 2007
  2. Invariant densities for generalized ß-maps
    Ergodic Theory and Dynamical Systems, vol. 27, no. 05, 2007
  3. Attainable densities for random maps?
    Journal of Mathematical Analysis and Applications, vol. 317, no. 1, pp. 257–270, 2006
  4. Invariant measures in brain dynamics?
    Physics Letters A, vol. 358, no. 1, pp. 27–30, 2006
  5. Folding maps and functional equations
    Dynamical Systems: An International Journal, vol. 21, no. 2, pp. 235–243, 2006
  6. Absolutely Continuous Invariant Measures that Cannot be Observed Experimentally
    SIAM E-Journal on Applied Dynamical Systems, vol. 5, no. 1, p. 84, 2006
  7. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 16, no. 2, p. 437, 2006
  8. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 16, no. 3, p. 715, 2006
  9. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 16, no. 4, p. 1079, 2006
  10. Invariant densities of random maps have lower bounds on their supports
    Journal of Applied Mathematics and Stochastic Analysis, vol. 2006, Article ID 79175, 13 pages, 2006
  11. Stochastics and Dynamics, vol. 6, no. 2, p. 155, 2006
  12. A generalization of Straube's theorem: existence of absolutely continuous invariant measures for random maps
    Journal of Applied Mathematics and Stochastic Analysis, vol. 2005, no. 2, pp. 133–141, 2005
  13. Markov Switching for Position Dependent Random Maps with Application to Forecasting
    SIAM E-Journal on Applied Dynamical Systems, vol. 4, no. 2, p. 391, 2005
  14. Randomly chosen chaotic maps can give rise to nearly ordered behavior
    Physica D: Nonlinear Phenomena, vol. 210, no. 3-4, pp. 284–294, 2005
  15. Nonobservable space dimensions and the discreteness of time
    Chaos, Solitons & Fractals, vol. 24, no. 1, pp. 13–18, 2005
  16. Calculus of variations for functionals containing compositions
    Journal of Mathematical Analysis and Applications, vol. 296, no. 2, pp. 658–664, 2004
  17. Dissipative and exact inner functions
    Complex Variables, vol. 49, no. 5, pp. 331–338, 2004
  18. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 14, no. 11, p. 3989, 2004
  19. Small Stochastic Perturbations of Random Maps with Position Dependent Probabilities
    Stochastic Analysis and Applications, vol. 22, no. 4, pp. 1121–1130, 2004
  20. A description of stochastic systems using chaotic maps
    Journal of Applied Mathematics and Stochastic Analysis, vol. 2004, no. 2, pp. 137–141, 2004
  21. Weakly Convex and Concave Random Maps with Position Dependent Probabilities
    Stochastic Analysis and Applications, vol. 21, no. 5, pp. 983–994, 2003
  22. Stochastics and Dynamics, vol. 3, no. 4, p. 545, 2003
  23. International Journal of Bifurcation and Chaos [In Applied Sciences and Engineering], vol. 13, no. 5, p. 1299, 2003
  24. Absolutely continuous invariant measures for random maps with position dependent probabilities
    Journal of Mathematical Analysis and Applications, vol. 278, no. 1, pp. 225–242, 2003
  25. Filtering entropy
    Physica D: Nonlinear Phenomena, vol. 183, no. 3-4, pp. 260–272, 2003
  26. A minimum principle for chaotic dynamical systems
    Physica D: Nonlinear Phenomena, vol. 166, no. 1-2, pp. 63–75, 2002
  27. Chaotic maps derived from trajectory data
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 12, no. 1, p. 42, 2002
  28. A Dynamic System Interpretation of Irreducible Complexity
    Discrete Dynamics in Nature and Society, vol. 7, no. 1, pp. 23–26, 2002
  29. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 11, no. 7, p. 2007, 2001
  30. Stochastics and Dynamics, vol. 1, no. 3, p. 377, 2001
  31. Energy and information of chaotic dynamical systems
    Chaos, Solitons & Fractals, vol. 12, no. 9, pp. 1611–1618, 2001
  32. Snap-back repellers and scrambled sets in general topological spaces
    Nonlinear Analysis, vol. 43, no. 5, pp. 591–604, 2001
  33. On the existence of ergodic continuous invariant measures for folding transformations
    Ergodic Theory and Dynamical Systems, vol. 20, no. 1, pp. 47–53, 2000
  34. A new approach to controlling chaotic systems
    Physica D: Nonlinear Phenomena, vol. 111, no. 1-4, pp. 1–15, 1998
  35. A lattice spacetime for the slit experiments of quantum mechanics
    Physics Letters A, vol. 236, no. 4, pp. 263–269, 1997
  36. Dynamics on Spaces of Compact Subsets with Application to Brain Modeling,
    Journal of Mathematical Analysis and Applications, vol. 216, no. 2, pp. 569–580, 1997
  37. An algorithm to control chaotic behavior in one-dimensional maps
    Computers & Mathematics with Applications, vol. 31, no. 6, pp. 13–22, 1996
  38. A model for the structure of spacetime
    Chaos, Solitons & Fractals, vol. 7, no. 5, pp. 611–630, 1996
  39. Nelson's drift coefficient and the structure of quantum spacetime
    Chaos, Solitons & Fractals, vol. 7, no. 6, pp. 939–954, 1996
  40. Iterated function systems and dynamical systems
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 5, no. 4, p. 634, 1995
  41. Invariant measures generated by sequences of approximating transformations
    Computers & Mathematics with Applications, vol. 30, no. 7, pp. 75–91, 1995
  42. Importance of Bounded Variation Condition for Stability of an Absolutely Continuous Invariant Measure
    Journal of Mathematical Analysis and Applications, vol. 181, no. 2, pp. 422–428, 1994
  43. Constructive approximations to the invariant densities of higher-dimensional transformations
    Constructive Approximation, vol. 10, no. 1, pp. 1–13, 1994
  44. A Matrix Solution to the Inverse Perron-Frobenius Problem
    Proceedings of the American Mathematical Society, vol. 118, no. 2, p. 409, 1993
  45. On Functions of Bounded Variation in Higher Dimensions
    The American Mathematical Monthly, vol. 99, no. 2, p. 159, 1992
  46. Graph Theoretic Bound on Number of A.C.I.M. for Random Transformation
    Proceedings of the American Mathematical Society, vol. 116, no. 2, p. 401, 1992
  47. A dynamical system model for interference effects and the two-slit experiment of quantum physics
    Physics Letters A, vol. 168, no. 2, pp. 103–112, 1992
  48. Modelling and simulating higher dimensional chaotic data
    Computers & Mathematics with Applications, vol. 24, no. 11, pp. 101–105, 1992
  49. On the number of invariant measures for higher-dimensional chaotic transformations
    Journal of Statistical Physics, vol. 62, no. 3-4, pp. 709–728, 1991
  50. Measures on periodic orbits for continuous transformations on the interval
    Stochastic Analysis and Applications, vol. 9, no. 3, pp. 263–270, 1991
  51. A Mathematical Model Describing Consequences of Abnormally High Levels of Epidermal Growth Factor Receptor on the Proliferation of Neoplastic Cells
    Cancer Investigation, vol. 9, no. 5, pp. 513–520, 1991
  52. Computing the Topological Entropy of General One-Dimensional Maps
    Transactions of the American Mathematical Society, vol. 323, no. 1, p. 39, 1991
  53. The Frobenius-Perron Operator on Spaces of Curves
    Transactions of the American Mathematical Society, vol. 324, no. 2, p. 731, 1991
  54. Nonlinearity, vol. 3, no. 4, pp. 1081–1087, 1990
  55. Absolutely continuous invariant measures for the family of maps x ? rxe-bx with application to the Belousov-Zhabotinski reaction
    Dynamical Systems, vol. 5, no. 2, pp. 65–81, 1990
  56. Compactness of eigenvectors for certain families of non-negative matrices
    Journal of Mathematical Analysis and Applications, vol. 150, no. 2, pp. 425–438, 1990
  57. Higher-dimensional point transformations and asymptotic measures for cellular automata
    Computers & Mathematics with Applications, vol. 19, no. 12, pp. 13–31, 1990
  58. Approximating the Invariant Densities of Transformations with Infinitely Many Pieces on the Interval
    Proceedings of the American Mathematical Society, vol. 105, no. 4, p. 922, 1989
  59. Why computers like lebesgue measure
    Computers & Mathematics with Applications, vol. 16, no. 4, pp. 321–329, 1988
  60. Constructive approximations to densities invariant under nonexpanding transformations
    Journal of Statistical Physics, vol. 51, no. 1-2, pp. 179–194, 1988
  61. Random composing of mappings, small stochastic perturbations and attractors
    Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol. 69, no. 1, pp. 137–160, 1985