Dr Yang Shi

F07 - Carslaw Building
The University of Sydney

Telephone 9351 2971
Fax 9351 4534

Research interests

I am a member of the Integrable systems group. My research interest include discrete/continuous integrable systems, in particular, i work on some very special nonlinear integrable equations called the Painlevé equations. I study integrable equations with a view towards applications in integrable statistical models in physics.

Recently, I have been working on establishing the connections between different classes of integrable systems by using the geometric and combinatorial properties of the reflection group symmetries of the integrable equations. This involves associating systems of integrable equations with higher dimensional regular polytopes and lattices with Weyl group symmetries.

Teaching and supervision

Timetable

Selected publications

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Journals

  • Hay, M., Howes, P., Nakazono, N., Shi, Y. (2015). A systematic approach to reductions of type-Q ABS equations. Journal of Physics A: Mathematical and Theoretical, 48(9), 095201-1-095201-24. [More Information]
  • Joshi, N., Nakazano, N., Shi, Y. (2015). Lattice equations arising from discrete Painlevé systems. I. (A 2 + A 1)(1) and ( A 1 + A 1 ′ ) ( 1 ) cases. Journal of Mathematical Physics, 56(9), 092705-1-092705-25. [More Information]
  • Joshi, N., Nakazono, N., Shi, Y. (2014). Geometric reductions of ABS equations on an n-cube to discrete Painlevé systems. Journal of Physics A: Mathematical and Theoretical, 47(50), 1-16. [More Information]
  • Joshi, N., Shi, Y. (2012). Exact solutions of a q-discrete second Painlevé equation from its iso-monodromy deformation problem. II. Hypergeometric solutions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 468(2146), 3247-3264. [More Information]
  • Joshi, N., Shi, Y. (2011). Exact solutions of a q-discrete second Painlevé equation from its iso-monodromy deformation problem: I. Rational solutions. Proceedings of the Royal Society A, 467, 3443-3468. [More Information]
  • Bilek, M., McKenzie, D., Tarrant, R., Oates, T., Ruch, P., Newton-McGee, K., Shi, Y., Tompsett, D., Nguyen, H., Gan, B., Kwok, T. (2004). Practical Plasma Immersion Ion Implantation For Stress Regulation And Treatment Of Insulators. Contributions to Plasma Physics, 44(38508), 465-471. [More Information]
  • Gan, B., Bilek, M., McKenzie, D., Shi, Y., Tompsett, D., Taylor, M., McCulloch, D. (2004). Stress Relief And Texture Formation In Aluminium Nitride By Plasma Immersion Ion Implantation. Journal of Physics: Condensed Matter, 16(10), 1751-1760. [More Information]

2015

  • Hay, M., Howes, P., Nakazono, N., Shi, Y. (2015). A systematic approach to reductions of type-Q ABS equations. Journal of Physics A: Mathematical and Theoretical, 48(9), 095201-1-095201-24. [More Information]
  • Joshi, N., Nakazano, N., Shi, Y. (2015). Lattice equations arising from discrete Painlevé systems. I. (A 2 + A 1)(1) and ( A 1 + A 1 ′ ) ( 1 ) cases. Journal of Mathematical Physics, 56(9), 092705-1-092705-25. [More Information]

2014

  • Joshi, N., Nakazono, N., Shi, Y. (2014). Geometric reductions of ABS equations on an n-cube to discrete Painlevé systems. Journal of Physics A: Mathematical and Theoretical, 47(50), 1-16. [More Information]

2012

  • Joshi, N., Shi, Y. (2012). Exact solutions of a q-discrete second Painlevé equation from its iso-monodromy deformation problem. II. Hypergeometric solutions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 468(2146), 3247-3264. [More Information]

2011

  • Joshi, N., Shi, Y. (2011). Exact solutions of a q-discrete second Painlevé equation from its iso-monodromy deformation problem: I. Rational solutions. Proceedings of the Royal Society A, 467, 3443-3468. [More Information]

2004

  • Bilek, M., McKenzie, D., Tarrant, R., Oates, T., Ruch, P., Newton-McGee, K., Shi, Y., Tompsett, D., Nguyen, H., Gan, B., Kwok, T. (2004). Practical Plasma Immersion Ion Implantation For Stress Regulation And Treatment Of Insulators. Contributions to Plasma Physics, 44(38508), 465-471. [More Information]
  • Gan, B., Bilek, M., McKenzie, D., Shi, Y., Tompsett, D., Taylor, M., McCulloch, D. (2004). Stress Relief And Texture Formation In Aluminium Nitride By Plasma Immersion Ion Implantation. Journal of Physics: Condensed Matter, 16(10), 1751-1760. [More Information]

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