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• 2019

  Transport of a quantum particle in a time-dependent white-noise potential

  Hislop, P. D., Kirkpatrick, K., Olla, S. & Schenker, J., Aug 1 2019, In: Journal of Mathematical Physics. 60, 8, 083303.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • white noise
  • White noise
  • Correlation Function
  • Mean Square
  • Spatial Correlation
• 2016

  Quantum groups and generalized circular elements

  Brannan, M. & Kirkpatrick, K., 2016, In: Pacific Journal of Mathematics. 282, 1, p. 35-61 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Quantum Groups
  • Wood
  • Orthogonal Group
  • Joint Distribution
  • Generator

• Asymptotics of Mean-Field O(N) Models

  Kirkpatrick, K. & Nawaz, T., Dec 1 2016, In: Journal of Statistical Physics. 165, 6, p. 1114-1140 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Mean Field
  • theorems
  • Model
  • Particle Physics
  • Critical Temperature
• 2017

  Critical Behavior of Mean-Field XY and Related Models

  Kirkpatrick, K. & Nawaz, T., Sep 27 2017, Stochastic Analysis and Related Topics: A Festschrift in Honor of Rodrigo Bañuelos. Baudoin, F. & Peterson, J. (eds.). Birkhäuser Basel, p. 207-221 (Progress in Probability; vol. 72).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • apexes
  • sectors
  • theorems
  • deviation
• 2016

  Fractional Schrödinger dynamics and decoherence

  Kirkpatrick, K. & Zhang, Y., Oct 1 2016, In: Physica D: Nonlinear Phenomena. 332, p. 41-54 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Decoherence
  • Equations of motion
  • Wave interference
  • Fractional
  • Fractional Laplacian