Research Interests |
|
Ergodic theory,
dynamical systems, and interdisciplinary applications. Selected Publications in Refereed Journals: ·
Recurrence
properties of superadditive processes and
universally good weights, AMS
Contemporary Mathematics, 797, 189-201, 2024. ·
Quantization for
infinite affine transformations, Fractal
and Fractional, 6, 239, 2022 (25 pages, Jointly with M.K. Roychowdury) ·
Canonical sequences
of optimal quantization for condensation measures, Qualitative Theory and Dynamical Systems, 21,
79, 2022 (28 pages, 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)
|