Current Research Interests

I'm interested in algebraic structures on combinatorial objects, and their interplay with Markov chains. My current research themes are

• Markov chains driven by linear operators
• Subalgebras of Solomon's descent algebra

 

 

Selected Publications

• Pang, C.Y.A.
  Lumpings of Algebraic Markov Chains Arise from Subquotients
  (2019) Journal of Theoretical Probability, 32 (4), pp. 1804-1844.
• Josuat-Vergès, M., Pang, C.Y.A.
  Subalgebras of Solomon's descent algebra based on alternating runs
  (2018) Journal of Combinatorial Theory. Series A, 158, pp. 36-65.
• Amy Pang, C.Y.
  Card-shuffling via convolutions of projections on combinatorial Hopf algebras
  (2015) Discrete Mathematics and Theoretical Computer Science, pp. 49-60.
• Diaconis, P., Pang, C.Y.A., Ram, A.
  Hopf algebras and Markov chains: Two examples and a theory
  (2014) Journal of Algebraic Combinatorics, 39 (3), pp. 527-585.
• Pang, C.Y.A.
  A Hopf-power Markov chain on compositions
  (2013) Discrete Mathematics and Theoretical Computer Science, pp. 469-480.
• Aguiar, M., André, C., Benedetti, C., Bergeron, N., Chen, Z., Diaconis, P., Hendrickson, A., Hsiao, S., Isaacs, I.M., Jedwab, A., Johnson, K., Karaali, G., Lauve, A., Le, T., Lewis, S., Li, H., Magaard, K., Marberg, E., Novelli, J.-C., Pang, A., Saliola, F., Tevlin, L., Thibon, J.-Y., Thiem, N., Venkateswaran, V., Vinroot, C.R., Yan, N., Zabrocki, M.
  Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
  (2012) Advances in Mathematics, 229 (4), pp. 2310-2337.
• Aguiar, M., André, C., Benedetti, C., Bergeron, N., Chen, Z., Diaconis, P., Hendrickson, A., Hsiao, S., Isaacs, I.M., Jedwab, A., Johnson, K., Karaali, G., Lauve, A., Le, T., Lewis, S., Li, H., Magaard, K., Marberg, E., Novelli, J.-C., Pang, A., Saliola, F., Tevlin, L., Thibon, J.-Y., Thiem, N., Venkateswaran, V., Vinroot, C.R., Yan, N., Zabrocki, M.
  Supercharacters, symmetric functions in noncommuting variables, extended abstract
  (2011) FPSAC'11 - 23rd International Conference on Formal Power Series and Algebraic Combinatorics, pp. 3-14.