Research Articles

2012 Optic Flow with Fixation, with Mark Nawrot, in preparation

2012  Modeling perceived depth from motion parallax with the motion/pursuit ratio, with Mark Nawrot, in preparation

2012 Integration time for the perception of depth from motion parallax, with Mark Nawrot, Vision Research 59 (2012) 64–71, doi:10.1016/j.visres.2012.02.007

2011 Visual depth from motion parallax and eye pursuit, with Mark Nawrot, J. Math. Biol. (2012) 64:1157–1188, DOI 10.1007/s00285-011-0445-1

2010  Motion Parallax is Asymptotic to Binocular Disparity, submitted, http://arxiv.org/abs/1010.0575

2009  The motion/pursuit law for visual depth perception from motion parallax,  with Mark Nawrot, North Dakota State U, Vision Research, Volume 49, Issue 15, 22 July 2009, Pages 1969-1978, http://dx.doi.org/10.1016/j.visres.2009.05.008

2007   Calculus with Infinitesimals, in the volume, The Strength of Nonstandard Analysis, van den Berg & Neves, eds., SpringerWienNewYork,  ISBN-10 3-211-49904-0

1996  A Discrete Condition for Higher-Order Smoothness, with Vitor Neves, Boletim da Sociedade Portugesa de     Matematica, n.35, Outtubro de 1996, p. 81-94

1995   The Infinitesimal Rule of Three,  in the vol, (refereed), Developments in nonstandard analysis, Cutland, Neves, et al, editors, Pitman Research Notes in Math Sci. 336, pp. 1 22

1989   Superinfinitesimals in Topology and Functional Analysis, (with B. Benninghofen and M. Richter), Proc. London Math Soc. (3) 59 (1989), 153 181

1987   Syntactical Methods in Infinitesimal Analysis (co author F. Deiner), in vol., Nonstandard Analysis and its Applications, N. Cutland, ed., London Math. Soc. vol.10, 258 281

1987   Superinfinitesimals and Inductive Limits,  ibid 1987a, 298 320

1987   Previsible Sets for Hyperfinite Filtrations, Prob. Theory and Related Fields (formerly Zeit. f. Whar.) vol. 73, 183 195

1983 Locally Convex Infinitesimal Calculus 2: Computations on Mackey(l-infinity) J. Funct. Anal., vol. 53, 1 15

1983 Myopic Utility Functions on Sequential Economies, J. of Math Econ., vol. 11, 267 276

1983 Infinitesimal Analysis of Publications_1.gif in its Mackey Topology, in vol., Nonstandard Analysis   Recent Developments,     A. Hurd, ed., Springer Verlag Lect.     Notes in Math, vol. 983, New York, 204 213

1978 Infinitesimal Calculus on Locally Convex Spaces: 1. Fundamentals, Trans A M S, vol. 240, 363 383

1977Infinitesimal Analyis of Curves and Surfaces, in vol., The Handbook of Mathematical Logic, K. J. Barwise,     ed., North Holland Publ., 197 231

1974A Nonstandard Characterization of Mixed Uniformities, in vol., Proc. of the University of Victoria Symposium on Nonstandard Analysis, A. Hurd and P. Loeb, ed.s, Springer Verlag Lect. Notes in Math, vol. 369, New York, 261 271

1973 The Mackey Uniformity Publications_2.giffor Finite Measures, Pacific J. Math., vol 49, nr. 1, 223 228

1972  Rates of Growth of Meromorphic Functions, in vol., Contributions to Non Standard Analysis, Luxemburg & A. Robinson, ed.s, North Holland Publ., Amsterdam, 47 64

1972  Additional Remarks on the Theory of Monds, ibid. 1972a, 245 260

1971 Applications of Model Theory to Complex Analysis, Ph. D. Thesis, Caltech (not published elsewhere)

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