Headshot of Dr.Ovidiu Lipan

Dr. Ovidiu Lipan

Associate Professor of Physics
  • Profile

    My research is focused on various aspects of the interplay between discrete and continuous models in theoretical physics, with most recent spotlight on the connection between discrete and continuum electrodynamics, where discrete is not in the sense of a numerical approach, but in the same spirit brought forth by the relationships between the difference and the differential equations. The discrete perspective also gained momentum through my recent work on single-electron transistors, quantum dots, and non-linear systems, which started during my 2022 Fulbright research in Brazil. My fascination with the correlation between discrete and continuous models started with the study of the relationship between quantum integrable systems and the discrete form of soliton equations proposed by Hirota. From there, my work extended naturally into discrete stochastic processes, mainly applied to genetic networks and their intrinsic noise, which deepened my understanding of non-linear systems. Most of my work is connected to practical applications.

  • Publications
    Journal Articles

    Lipan, Ovidiu-Zeno, and Aldo De Sabata. "Optimizing bi-layered periodic structures: a closed-form transfer matrix method based on Pendry-MacKinnon’s discrete Maxwell’s equations." JOSA B 41, no. 2 (2024): A116-A125.

    Lopez-Richard, V., Wengenroth Silva, R.S., Lipan, O. and Hartmann, F. "Tuning the conductance topology in solids." Journal of Applied Physics, 133(13) 2023.

    Ovidiu-Zeno Lipan, Aldo De Sabata. “Closed-form analytical solution for the transfer matrix based on Pendry-MacKinnon discrete Maxwell's equations.” arXiv preprint arXiv: 2303.06765 (2023).

    Lopez-Richard, Victor, R. S. Silva, Ovidiu Lipan, and Fabian Hartmann. "Inadequacy of equivalent circuits in nonlinear systems with inherent memory." arXiv preprint arXiv:2303.04135 (2023).

    Lopez-Richard, Victor, Rafael Schio Wengenroth Silva, Ovidiu Lipan, and Fabian Hartmann. "Tuning the conductance topology in solids." arXiv preprint arXiv:2210.16410 (2022).

    Lipan, Ovidiu, and Emily Wu. "A stochastic switch with different phases." Chaos: An Interdisciplinary Journal of Nonlinear Science29, no. 8 (2019): 083107.

    Ferwerda, Cameron, and Ovidiu Lipan. "Splitting nodes and linking channels: A method for assembling biocircuits from stochastic elementary units." Physical Review E 94 (November 10, 2016): 1-15. doi:10.1103/physreve.94.052404.

    L. Matekovits, A. De Sabata and O. Lipan, "Band splitting in 2D EBG structure by geometry modulation," 2015 IEEE International Symposium on Antennas and Propagation, Vancouver, BC, 2015, pp. 1590-1591.

    A. De Sabata, L. Matekovits and O. Lipan, "Enrichment of EBG contents of periodic structures by geometry modulation," Electromagnetics in Advanced Applications (ICEAA), 2015 International Conference, Turin, 2015, pp. 1613-1616.

    D.M. Popescu and O.Lipan,” A Kramers-Moyal Approach to the Analysis of Third-Order Noise with Applications in Option Valuation” ,PloS One 10, no. 1 January 2015

    O. Lipan, “Stochastic genetic networks with solvable structures ” American Institute of Physics Conf. Proc. 1637, 582 (2014)

    O. Lipan “ Differential Equations and Chemical Master Equation Models for Gene Regulatory Networks” Encyclopedia of Molecular Life Sciences, peered-reviewed volume in a new series that will be published by Springer. Accepted, September 2012

    Gentile, Lisa, Lester Caudill, Mirela Fetea, April Hill, Kathy Hoke, Barry Lawson, Ovidiu Lipan, Michael Kerckhove, Carol Parish, Krista Stenger, and Doug Szajda. "Challenging Disciplinary Boundaries in the First Year: A New Introductory Integrated Science Course for STEM Majors."Journal of College Science Teaching 41, no. 5 (May/June 2012): 44-50.

    J. Cates, G. Graham, N. Omattage, E. Pavesich, I. Setliff, J. Shaw, C. L. Smith and O. Lipan, “Sensing the Heat Stress by Mammalian Cells” BMC Biophysics, 2011

    G. Graham and O. Lipan, “The Effect of Coupled Stochastic Processes in a Two-State Biochemical Switch” Journal of Biological Physics, 2011 DOI: 10.1007/s10867-011- 9226-8.

    Lester Caudill, April Hill, Kathy Hoke, and Ovidiu Lipan, “Impact of Interdisciplinary Undergraduate Research in Mathematics and Biology on the Development of a New Course Integrating 5 STEM Disciplines”, CBE-Life Sciences Education, May 2010.

    O. Lipan. “Molecular Biocircuits”, Modern Physics Letters B, Vol. 23, No. 6  (2009) 773–789.

    Achimescu S., Lipan, O. (2006) Signal propagation in nonlinear stochastic gene regulatory networks. IEE Systems Biology, v. 153.

    O. Lipan. “Enlightening Rhythms” (2008), Science, Vol. 319. no. 5862, pp. 417 – 418.

    Lipan, O., Wong, W. (2005) The use of oscillatory signals in the study of genetic networks. Proceedings of the National Academy of Sciences of the United States of America, v. 102.

    Sauvageot, C., Dahia, P., Lipan, O., Park, J., Chang, M., Alberta, J., & Stiles, C.D. (2005) Distinct temporal genetic signatures of neurogenic and gliogenic cues in cortical stem cell cultures. Journal of Neurobiology, v. 62, issue 1, 121-133.

    Storch, K., Lipan, O., Leykin, I., Viswanathan, N., Davis, F., Wong, W., & Weitz, C. (2002) Extensive and divergent circadian gene expression in liver and heart. Nature, v. 417, 78-83.

    Lipan, O., & Rasinariu, C. (2002) Baxter T-Q equation for shape invariant potentials. The finite-gap potentials case. Journal of Mathematical Physics, v. 43, 847.

    Lipan, O. (2001) Baxter operator for Hofstadter-Harper Hamiltonians. Nuclear Physics B, v.604, issue 3, 603-615.

    Lipan, O. (2000) Bandwith statistics from the eigenvalue moments for the Harper-Hofstadter problem. Journal of Physics A: Mathematical and General, v. 33, 6875-6888.