Research Interests |
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Ergodic theory,
dynamical systems, and interdisciplinary applications. Selected Publications in Refereed Journals: ·
Quantization for
infinite affine transformations, to
appear in Fractal and Fractional, 2022 (Jointly with M.K. Roychowdury) ·
Canonical sequences
of optimal quantization for condensation measures, to appear in Qualitative Theory and Dynamical
Systems, 2022 (Jointly with M.K. Roychowdury) ·
Individual ergodic
theorems for infinite measure, Colloquium
Mathematicum, 167 (2), 219-238, 2022 (Jointly
with V. Chilin and S.N. Litvinov) ·
Quantization for
uniform distributions of Cantor dusts on ℝ2, Topology Proceedings, 56, 195-218, 2020 (Jointly with M.K. Roychowdury) ·
Quantization for
uniform distributions on stretched Sierpiński
triangles, Monatshefte
für Mathematik,190, 79-100, 2019 (Jointly with M.K. Roychowdury) ·
Good modulating
sequences for ergodic Hilbert transform, Turkish J. Math., 39,
124-138, 2015 (Jointly with A. Akhmedov) ·
Steady-state skill
level of workers in learining and
forgetting environments: A dynamical system analysis, European J. Oper.
Res., 232, 9-21, 2014 (Jointly
with S. Teyarachakul and H. Tarakci) ·
Individual ergodic
theorem with operator-valued Besicovitch weights, Positivity, 17,
27-46, 2013 (Jointly with S.N.Litvinov) Books Published: Fundamentals of Functional Analysis, Linus Learning, Inc. 2017; ISBN-13: 978-1-60797-751-3 Refereed Encyclopedia Entries: ·
Modern ergodic theory: from a physics hypothesis
to a mathematical theory with transformative interdisciplinary impact, in Handbook
of the Mathematics of the Arts and Sciences, Chapter 31-1, 1969-1992,
2021, Springer Nature, ISBN-13:
978-3-319-57072-3 (online), 978-3-319-57071-6 (print) ·
Mathematics in Asia West, Encyclopedia
of Mathematics and Society, 74-76, Salem Press, 2012, ISBN-13:
978-1587658440 (Jointly with S.J. Greenwald and J.E. Thomley) ·
Curves, Encyclopedia of Mathematics and Society, 280-282, Salem Press, 2012, ISBN-13:
978-1587658440 (Jointly with S.J. Greenwald and J.E. Thomley) ·
Mathematics Genealogy Project, Encyclopedia of
Mathematics and Society, 628-629, Salem
Press, 2012, ISBN-13: 978-1587658440 ·
Polyhedra, Encyclopedia of Mathematics and Society, 782-784, Salem Press, 2012, ISBN-13:
978-1587658440 (Jointly with S.J. Greenwald and J.E. Thomley) ·
Surfaces, Encyclopedia of
Mathematics and Society, 964-966, Salem
Press, 2012, ISBN-13: 978-1587658440 (Jointly with S.J. Greenwald and
J.E. Thomley) Selected Articles on Assessment in Mathematics:
Selected Interdisciplinary Articles: ·
Networking
Antarctic Research Discoveries to a U.S. Science Classroom, Science Scope, 32 (2) 30-33, 2008
(Jointly with A. Podoll, B. Olson, L.M. Montplaisir, D.P. Schwert, K.
McVicar, and W.O. Martin)
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