Curriculum Vitae

(Canadian Citizen)

Department of Mathematical and Statistical Sciences     University of Alberta     Edmonton, Canada      T6G 2G1 
Email:             Fax: (780) 492-6826

Current Position

Professor, University of Alberta, Mathematical & Statistical Sciences

Graduate Students and Postdoctoral Fellows


Other Positions, Service, Awards, Grants

Industry Grant,  Scotiabank (2023-2025)

Industry Grant,  Canadian Western Bank (2018-2019)

CRC Service,  Served on College of Reviewers for the Canadian Research Chair programme.

Honor Roll of Teachers, Faculty of Science (Students Choice Category 2013-2014)

Recipient, NSERC Discovery Grant (1997-present)

President of Probability Section, Statistics Society of Canada (Jun. 2013 - May 2014)

Grant Reviewer: Evaluated many NSERC, National Science Foundation, MITACS, PIMS, Hong Kong (RGC) and American Mathematical Society research grant proposals (1999-present).

Chief Trader Perfect Timing Investment Club (2011-2014).

Co-recipient of RGC Hong Kong collaborative research grant (2010-2012) (valued at approximately $100,000 over three years)

President, Random Knowledge Inc. and Fast Track Technologies Inc. (October 2002 - December 2009)

Co-founder , and, online Learning Centres, provides open content.

Project Leader , Mathematics of Information Technology and Complex Systems (MITACS) (Jan. 1999- May 2005)

Honorary Fellow, University of Wisconsin-Madison, Department of Mathematics (Jan. - May 2003).

Visiting Professor, H.E.C. Montreal, Department of Mathematics (Nov. - Dec. 2002).

Visiting Professor, Carlton University, Department of Mathematics and Statistics (Aug. - Oct. 2002).

Organizer, Filtering 2002, a successful international PIMS and MITACS sponsored conference (with R.J. Elliott, T.G. Kurtz, and H. Long) in filtering (July 2002).

Session Organizer, 2002 IMS Probability Symposium in Banff.

Recipient, 2001 PIMS Industrial Outreach Prize. (National Award, Sponsored by TD Bank).

Visiting Professor - Premier Class, Universite Paul Sabatier (France), Laboratoire de Statistique et Probabilities (February 2000).

Associate Professor, University of Alberta (1997-2001)

Reviewer, wrote twenty-one AMS mathematics review articles (1996-2000)

Organizer, (with T.G. Kurtz) filtering workshop at the University of Wisconsin-Madison (July 1999)

Recipient, Institute for Mathematics and Its Applications Industrial Postdoctoral Fellowship (1995 and 1996).

IMA Industrial Fellow, University of Minnesota and Lockheed Martin (Sept. 1995 - July 1997)

Research Associate for Professor Donald Dawson, Carleton University, Mathematics and Statistics (Jan. 1994 - August 1995)

Recipient, DAAD Study Visit Award (for Professors visiting Germany) (1993)

Visiting Scientist, Advisor: Professor Ernst Eberlein, Universitat Freiburg, Institut fur Mathematische Stochastik (Jan. - Dec. 1993)

Recipient, NSERC Postdoctoral Fellowship (1993-1994)

Assistant Professor, University of Waterloo, Electrical Eng. (Jan. 1991 - Dec. 1992)

Educational Experience

Refereed Publications

  1. M. A. Kouritzin and D. Richard (2023),   " Universal Approximation and the Topological Neural Network '', to appear in IEEE Access .
  2. M. A. Kouritzin, T. G. Kurtz and J. Xiong (2023),   " Stochastic Differential Equations with Local Interactions '', to appear in Electronic Communications in Probability .
  3. Y. Hu, M. A. Kouritzin, P. Xia and J. Zheng (2023),   " On mean-field super-Brownian motions '', to appear in Ann. Applied Probability .
  4. Y. Hu, M. A. Kouritzin and J. Zheng (2023),   " Nonlinear McKean-Vlasov diffusions under the weak Hormander condition with quantile-dependent coefficients'', Potential Analysis , : 1-27.
  5. M. A. Kouritzin and S. Paul (2022), " On almost sure limit theorems for long-range dependent, heavy-tailed processes ''. Stochastic Processes and Their Applications 152 208-232.
  6. I.R. Kouarfate, M. A. Kouritzin and A. Mackay (2021),   " Explicit solution simulation method for the 3/2 model '', Advances in Probability and Mathematical Statistics, Springer Nature 123-146.
  7. M. A. Kouritzin, A. Mackay and N. Vellone-Scott (2020),   " New Branching Filters With Explicit Negative Dependence '', IEEE Access 8 157306--157321. doi: https//
  8. M. A. Kouritzin and K. Le (2020),   " Long-time limits and occupation times for stable Fleming-Viot processes with decaying sampling rates '', Ann. Inst. H. Poincare Probab. Statist. 56(4), 2595-2620.
  9. M. A. Kouritzin and A. Mackay (2020),   " Branching particle pricers with Heston examples '', Int. J. Theor. Appl. Finan. 23 , paper 2050003, [29 pages]. doi: https//
  10. M. A. Kouritzin and B. Remillard (2019),   " On explicit local solutions of Ito diffusions '', Journal of Mathematical Analysis and Applications 473(1), pp. 534-566.
  11. M. A. Kouritzin, K. Le and D. Sezer (2019),   " Laws of large numbers for supercrictical branching Gaussian processes'', Stochastic Processes and Their Applications 129(9), pp. 3463-3498.
  12. M. A. Kouritzin and A. MacKay (2018),   " VIX-linked fees for GMWBS via explicit solution simulation methods'', Insurance: Mathematics and Economics 81, pp. 1-17. doi:
  13. M. A. Kouritzin (2018),   " Explicit Heston solutions and stochastic approximation for path-dependent option pricing '', Int. J. Theor. Appl. Finan. 21 , paper 1850006, [45 pages]. doi: https//
  14. M. A. Kouritzin, F. Newton and B. Wu (2017), " A Flexible, Real-Time Algorithm for Simulating Correlated Random Fields and its Properties'', Journal of Mathematics and Statistics 13, pp. 197-208.
  15. M. A. Kouritzin (2017),   " Residual and Stratified Branching Particle Filters '', Computational Statistics and Data Analysis. 111, pp. 145-165. doi: 10.1016/j.csda.2017.02.003
  16. M. A. Kouritzin (2017),   " Convergence Rates for Residual Branching Particle Filters'', Journal of Mathematical Analysis and Applications .449, pp. 1053-1093.
  17. M. A. Kouritzin and S. Sadeghi (2016),  " Marcinkiewicz Law of Large Numbers for Outer-products of Heavy-Tailed, Long-Range-Dependent Data '', Advances in Applied Probability .48, pp.349-368.
  18. M. A. Kouritzin (2016), " On tightness for probability measures on Skorokhod spaces '', the Transactions of the American Mathematical Society. 368(8), pp. 5675-5700.
  19. M. A. Kouritzin (2015),  " Microstructure Models with Short-Term Inertia and Stochastic Volatility '', Mathematical Problems in Engineering vol. 2015, Article ID 323475, 17 pages, 2015. doi:10.1155/2015/323475.
  20. M. A. Kouritzin and S. Sadeghi (2015),  " Convergence Rates and Decoupling in Linear Stochastic Approximation Algorithms '', SIAM J. Control Optim. 53, pp. 1484-1508.
  21. S. Kim, B. Kim, M.A. Kouritzin, and G. Rieger (2014), "System and Method for a Computerized Learning System" US Patent number 8761658 granted June 24, 2014, filed by FastTrack Technologies Inc., 91 pages.
  22. M. A. Kouritzin, F. Newton and B. Wu (2014), " A graph theoretic approach to simulation and classification ''Computational Statistics & Data Analysis 70, pp. 281-294.
  23. M. A. Kouritzin and Y-X. Ren (2014), " A Strong Law of Large Numbers for Super-stable Processes ''Stochastic Processes Appl. 124, pp. 505-521.
  24. M. A. Kouritzin, F. Newton and B. Wu (2013), " On random field CAPTCHA generation ''IEEE Trans. Image Processing 22(4), pp. 1656-1666.
  25. M.A. Kouritzin, S. Kim, and J. Hailes (2012), "Method and Apparatus to Perform Real-Time Audience Estimation and Commercial Selection Suitable for Targeted Advertising" Australian Patent number AU2007247995 granted June 28, 2012, Japanese Patent number JP517826 granted Jan. 11,2013 and Canadian Patent number CA2651165 issued Feb. 4, 2014, filed by Invidi Corp., 42 pages.
  26. F. Newton and M. A. Kouritzin (2011), "On Grey Levels in Random CAPTCHA Generation"Proc. of SPIE 8056, 80560U Visual Information Processing XX, edited by Zia-ur Rahman, Stephen E. Reichenbach, Mark A. Neifeld
  27. D. Blount and M. A. Kouritzin (2010), " On convergence determining and separating classes of functions"Stochastic Processes and their Applications 120 1898-1907
  28. D. Crisan, M. Kouritzin and J. Xiong (2009)," Nonlinear filtering with signal depending noise"Electron. J. Probab. 14, 1863-1883.
  29. M. A. Kouritzin, D. Luo, F. Newton, B. Wu (2009), "Detecting targets hidden in random forests"Proc. SPIE Int. Soc. Opt. Eng. 7336, 73360N,
  30. J. Macki, M.A. Kouritzin, S. Ghosh, J. Liu (2008) "Differential Calculus Workbook" 2008-2009 Edition, ISBN 978-0-981075-61-7, pp 1-125.
  31. M.A.Kouritzin and S. Ghosh (2008), "Differential Calculus: Theory for users" 2008-2009 Edition, ISBN 978-0-981075-60-0, pp 1-326.
  32. M.A. Kouritzin and H. Long (2008), "On extending classical filtering equations"Statistics and Probability Letters. 78 3195-3202
  33. M.A. Kouritzin and B. Wu (2008), "Handling Target Obscuration through Markov Chain Observations" in Signal Processing, Sensor Fusion, and Target Recognition Proceedings of SPIE. 6968, 69680S, 9 pages.
  34. M.A. Kouritzin, F. Newton, S. Orsten, D.C. Wilson (2008), "On Detecting Fake Coin Flip Sequences"IMS Collections Markov Processes and Related Topics: A Festschrift for Thomas G. Kurtz, pp. 107-122.
  35. M.A. Kouritzin, and S. Kim (2007), "The refining stochastic grid filter and implementation" US Patent Number 7,188, 048 B2 granted March 6, 2007, filed by assignee Lockheed Martin Corp., 37 pages.
  36. M.A. Kouritzin (2006), "Selectively resampling particle filter and implementation", US Patent Number 7,058,550 granted June 6, 2006, filed by assignee Lockheed Martin Corp., 41 pages.
  37. M.A. Kouritzin and W. Sun (2005) " Rates for branching particle approximations of continuous discrete filters '',   The Annals of Applied Probability15 2739-2772.
  38. M.A. Kouritzin, D. Ballantyne, Y. Hu and H. Kim (2005); "On sonobuoy placement for submarine tracking."  Proc. SPIE Int. Soc. Opt. Eng. 5809,  244-252.
  39. M.A. Kouritzin, Y. Zeng (2005), "Bayesian model selection via filtering for a class of micro-movement models of asset price",  the International Journal of Theoretical and Applied Finance8 97-121.
  40. M.A. Kouritzin, and Y. Zeng (2005), "Weak convergence for a type of conditional expectation: application to the inference for a class of asset price models", Nonlinear Analysis, Theory, Methods & Applications, Series A60 231-239.
  41. J. Hoffman, C. Ketelsen, M. Kouritzin, A. Limon, Y. Mileyko and K. Yewchuk (2004); "Tracking and identifying Multiple Targets."  Canadian Applied Mathematics Quarterly12 Number 1 pp. 103-124.
  42. J. Kim, S. Kim, M.A. Kouritzin, and W. Sun (2004), "Detecting network portscans through anomaly detection", in Signal Processing, Sensor Fusion and Target Recognition XIII, the 2004 Proceedings of SPIE, 5429, 254-263.
  43. J. Hailes, M.A. Kouritzin, R. Marsh, and J. McCrosky (2004), ""Tracking promyelocytic leukemia nuclear bodies concept via filtering", Proceedings of ICMENS 2004, 433-437.
  44. D. Blount, N. Hu, M.A. Kouritzin, and J. McCrosky (2004), "Artificial learning approaches for multi-target tracking", in Automatic Target Recognition XIV, edited by F.A. Sadjadi, 2004 Proceedings of SPIE, 5426: 293-304.
  45. S. Kim, M.A. Kouritzin, H. Long, J. McCrosky, W. Sun, and X. Zhao (2004), "A stochastic grid filter for multi-target tracking", in Signal Processing, Sensor Fusion and Target Recognition XIII,2004 Proceedings of SPIE, 5429: 245-253.
  46. M.A. Kouritzin, W. Sun, and J. Xiong (2004), ""Nonlinear filtering for reflecting diffusions in random environments by nonparametric estimation". Electronic Journal of Probability, Vol. 9, Paper no. 18, 560-574.
  47. M.A. Kouritzin, H. Long, and W. Sun (2004), " Markov chain approximations to filtering equations for reflecting diffusion processes"Stochastic Processes and Applications110 275-294.
  48. M.A. Kouritzin, H. Long, X. Ma, and W. Sun (2003), "Non-recursive and recursive methods for parameter estimation in filtering problems" in Signal Processing, Sensor Fusion, and Target Recognition XII, 2003 Proceedings of SPIE 5096, 585-596.
  49. D.J. Ballantyne, J. Hailes, M.A. Kouritain, H. Long, and J. Wiersma (2003), "A hybrid weighted interacting particle filter for multi-target tracking", in Signal Processing, Sensor Fusion, and Target Recognition XII, 2003 Proceedings of SPIE 5096, 244-255.
  50. M.A. Kouritzin, H. Long, and W. Sun (2003), "On Markov chain approximations to semilinear partial differential equations driven by Poisson meaure noise"Stochastic Analysis and Applications21, 419-441.
  51. M.A. Kouritzin, H. Long, and W. Sun (2003), "Nonlinear filtering for diffusions in random environments'', Journal of Theoretical Probability16 1-20.
  52. D.J. Ballantyne, S. Kim, and M.A. Kouritzin (2002), "Weighted-interacting particle-based nonlinear filters" in Signal Processing, Sensor Fusion, and Target Recognition XI, Ivan Kadar, Editor,2002 Proceedings of SPIE 4729, 236-247.
  53. D.J. Ballantyne, M.A. Kouritzin, H. Long, and W. Sun (2002), "Discrete-space particle filters for reflecting diffusions", Proceedings of the 2002 IEEE Aerospace ConferenceBig Sky, Montana . IEEE Catalog Number: 02TH8593C, ISBN: 0-7803-7232-B March 9-16, 2002.
  54. W. Bauer, S. Kim, and M.A. Kouritzin (2002), "Continuous and discrete space particle filters for predictions in acoustic positioning'', in Image Reconstruction from Incomplete Data II, 2002 Proceedings of SPIE 4792, 193-206.
  55. M.A. Kouritzin, B. Remillard, and C.P. Chan (2001), "Parameter estimation for filtering problems with stable noise'', Target Tracking III, Fusion 2001WeB1 Ed. P. Valin, 27--30.
  56. M.A. Kouritzin and H. Long (2002), " Convergence of Markov chain approximations to stochastic reaction diffusion equations''Annals of Applied Probability12, 1039-1070.
  57. D.J. Ballantyne, H.Y. Chan, and M.A. Kouritzin (2001), "A branching particle-based nonlinear filter for multi-target tracking" Distributed Tracking I, Fusion 2001WeA2 Ed. J. Llinas 3--10.
  58. P. Del Moral, M.A. Kouritzin, and L. Miclo (2001), "On a class of discrete generation interacting particle systems''Electronic Journal of Probability , Vol. 6 Paper no. 16, 1-26.
  59. H.Y. Chan, and M.A. Kouritzin (2001), "Particle filters for combined state and parameter estimation'', in  Signal Processing, Sensor Fusion, and Target Recognition X 2001, Proceedings of SPIE,4380 Ed. I. Kadar 244--252.
  60. D.J. Ballantyne, J. Hoffman, and M.A. Kouritzin (2001), "Practical applications of a branching particle-base filter'', in Signal Processing, Sensor Fusion, and Target Recognition X 2001,Proceedings of SPIE 4380 Ed. I. Kadar 253--260.
  61. D. Blount and M.A. Kouritzin (2001), "Holder continuity for spatial and path processes via spectral analysis''Probability Theory and Related Fields 119, 589--603.
  62. D.J. Ballantyne, H.Y. Chan, and M.A. Kouritzin (2000), "A novel branching particle method for tracking'', in  Signal and Data Processing of Small Targets 2000, Proceedings of SPIE4048  Ed. Oliver E. Drummond 277--287.
  63. M.A. Kouritzin (2000), "Exact infinite dimensional filters and explicit solutions'', in  Stochastic Models Eds. Luis G. Gorostiza and B. Gail Ivanoff 265--282.
  64. M.A. Kouritzin and D. Li (2000), "On explicit solutions to stochastic differential equations'', Stochastic Analysis and Applications, 18 (4), 571--580.
  65. M.A. Kouritzin (2000), "Approximations for singularly-perturbed parabolic equations of arbitrary order'', Nonlinear Studies  7 (2) pp 179--210.
  66. M.A. Kouritzin (1998), "On exact filters for continuous signals with discrete observations'', IEEE Trans. on Auto Contr., AC-43 pp. 708--715.
  67. D.A. Dawson and M.A. Kouritzin (1997), " Invariance principles for parabolic equations with random coefficients ''Journal of Functional Analysis 149 (2) pp. 377-414.
  68. M.A. Kouritzin (1997), "Stochastic processes and perturbation problems defined by parabolic equations with a small parameter'', Nonlinear Analysis, Theory, Methods & Applications, 30, 4089--4099.
  69. M.A. Kouritzin (1997), "Arbitrary order parabolic stochastic partial differential equations with general Hilbert-space-valued noise'',  The IMS Bulletin 26 pp. 322-323.
  70. M.A. Kouritzin (1997), " Averaging for fundamental solutions of parabolic equations''Journal of Differential Equations 136 pp. 35--75.
  71. K. Kastella, M.A. Kouritzin, and A. Zatezalo (1996), "A nonlinear filter for altitude tracking'', October 1996 Proceedings of the Air Traffic Control Association  pp.1--5.
  72. M.A. Kouritzin (1996), "On the interrelation of almost sure invariance principles for certain stochastic adaptive algorithms and for partial sums of random variables'', ,  J. Theoretical Probability 9(4)pp. 811--840.
  73. M.A. Kouritzin (1996), "On the convergence of linear stochastic approximation procedures''IEEE Trans. Inform. Theory IT-42(4) pp. 1305--1309.
  74. M.A. Kouritzin (1995), " Strong approximation for cross-covariances of linear variables with long-range dependence''Stochastic Processes Appl. 60 pp. 343--353.
  75. M.A. Kouritzin (1995), "Parabolic equations with random coefficients'', The IMS Bulletin 24(5) pp.  462--463.
  76. M.A. Kouritzin (1994), "Inductive methods and rates of rth-mean convergence in adaptive filtering''Stochastics and Stochastics Reports 51 pp. 241--266.
  77. A.J. Heunis and M.A. Kouritzin (1994), " Strong convergence in the stochastic averaging principle'', Math. Anal. Appl. 187(1) pp.134--155.
  78. M.A. Kouritzin and A.J. Heunis (1994), " A law of the iterated logarithm for stochastic processes defined by differential equations with a small parameter''Ann. Probab 22(2) pp. 659--679.
  79. M.A. Kouritzin (1994), "On almost sure bounds for the LMS algorithm'' , IEEE Trans. Inform. Theory IT-40(2), pp.372--383.
  80. M.A. Kouritzin and A.J. Heunis (1992), " Rates of convergence in a central limit theorem for stochastic processes defined by differential equations with a small parameter''J. Multivariate Analysis,43(1) pp.58--109.