David Weisbart bio photo

David Weisbart

Associate Professor of Teaching, UCR Mathematics

  • Weisbart, David, and Adam M. Yassine. “Constructing Span Categories from Categories without Pullbacks.” Pacific Journal of Mathematics 321, no. 2 (March 21, 2023): 443–65. https://doi.org/10.2140/pjm.2022.321.443.
  • Rajkumar, Rahul, and David Weisbart. “Components and Exit Times of Brownian Motion in Two or More $p$-Adic Dimensions.” arXiv, October 28, 2022. http://arxiv.org/abs/2210.16429.
  • Weisbart, David. “Estimates of Certain Exit Probabilities for P-Adic Brownian Bridges.” Journal of Theoretical Probability 35, no. 3 (September 1, 2022): 1878–97. https://doi.org/10.1007/s10959-021-01099-0.
  • Weisbart, David. “On Infinitesimal Generators and Feynman–Kac Integrals of Adelic Diffusion.” Journal of Mathematical Physics 62, no. 10 (October 6, 2021): 103504. https://doi.org/10.1063/5.0056119.
  • Baez, John C., David Weisbart, and Adam M. Yassine. “Open Systems in Classical Mechanics.” Journal of Mathematical Physics 62, no. 4 (April 8, 2021): 042902. https://doi.org/10.1063/5.0029885.
  • Weisbart, David. “Modernizing Archimedes’ Construction of π.” Mathematics 8, no. 12 (December 2020): 2204. https://doi.org/10.3390/math8122204.
  • Abelgas, Aizelle, Bryan Carrillo, John Palacios, David Weisbart, and Adam Yassine. “Buffon’s Problem Determines Gaussian Curvature in Three Geometries.” arXiv.org, September 14, 2020. https://arxiv.org/abs/2009.06755v1.
  • Bakken, Erik, and David Weisbart. “P-Adic Brownian Motion as a Limit of Discrete Time Random Walks.” Communications in Mathematical Physics 369, no. 2 (July 1, 2019): 371–402. https://doi.org/10.1007/s00220-019-03447-y.
  • Bakken, Erik, and David Weisbart. “Continuous Time P-Adic Random Walks and Their Path Integrals.” Journal of Theoretical Probability 32, no. 2 (June 1, 2019): 781–805. https://doi.org/10.1007/s10959-018-0831-3.
  • Taylor, David, Veeravalli Varadarajan, Jukka Virtanen, and David Weisbart. “Temperedness of Measures Defined by Polynomial Equations over Local Fields.” Pacific Journal of Mathematics 296, no. 1 (May 1, 2018): 227–56. https://doi.org/10.2140/pjm.2018.296.227.
  • Bakken, Erik Makino, Trond Digernes, and David Weisbart. “Brownian Motion and Finite Approximations of Quantum Systems over Local Fields.” Reviews in Mathematical Physics 29, no. 05 (June 2017): 1750016. https://doi.org/10.1142/S0129055X17500167.
  • Virtanen, J., and D. Weisbart. “Elementary Particles on P-Adic Spacetime and Temperedness of Invariant Measures.” P-Adic Numbers, Ultrametric Analysis, and Applications 6, no. 4 (October 1, 2014): 318–32. https://doi.org/10.1134/S2070046614040074.
  • Bakken, E. M., T. Digernes, M. U. Lund, and D. Weisbart. “Finite Approximations of Physical Models over P-Adic Fields.” P-Adic Numbers, Ultrametric Analysis, and Applications 5, no. 4 (October 1, 2013): 249–59. https://doi.org/10.1134/S2070046613040018.
  • Digernes, Trond, and David Weisbart. “Matrix-Valued Schrödinger Operators over Local Fields.” P-Adic Numbers, Ultrametric Analysis, and Applications 1, no. 2 (June 1, 2009): 136–44. https://doi.org/10.1134/S2070046609020058.
  • Fernandez, Rahul N., V. S. Varadarajan, and David Weisbart. “Airy Functions over Local Fields.” arXiv.org, January 1, 2009. https://doi.org/10.1007/s11005-009-0311-x.
  • Digernes, Trond, V. S. Varadarajan, and D. E. Weisbart. “Schrödinger Operators on Local Fields: Self-Adjointness and Path Integral Representations for Propagators.” Infinite Dimensional Analysis, Quantum Probability and Related Topics 11, no. 04 (December 2008): 495–512. https://doi.org/10.1142/S0219025708003294.
  • Varadarajan, V. S., and David Weisbart. “Convergence of Quantum Systems on Grids.” Journal of Mathematical Analysis and Applications 336, no. 1 (December 1, 2007): 608–24. https://doi.org/10.1016/j.jmaa.2007.02.073.