Arvind Ayyer

These are the publications by current faculty members of the department after they joined the department.


  1. Ayyer, Arvind, Squareness for the Monopole-Dimer model, Ann. Comb. , 24 (2020), 237-255. (Article) (Review)
  2. Ayyer, Arvind and Behrend, Roger E. and Fischer, Ilse, Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order, Adv. Math. , 367 (2020), 107125, 56. (Article) (Review)
  3. Ayyer, Arvind and Fischer, Ilse, Bijective proofs of skew Schur polynomial factorizations, J. Combin. Theory Ser. A , 174 (2020), 105241, 40. (Article) (Review)
  4. Ayyer, Arvind and Singla, Pooja, Random motion on finite rings, I: commutative rings, Algebr. Represent. Theory , 23 (2020), 583-604. (Article) (Review)
  5. Aas, Erik and Ayyer, Arvind and Linusson, Svante and Potka, Samu, The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps, J. Phys. A , 52 (2019), 355001, 19. (Article) (Review)
  6. Ayyer, Arvind and Behrend, Roger E., Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions, J. Combin. Theory Ser. A , 165 (2019), 78-105. (Article) (Review)
  7. Ayyer, Arvind and Finn, Caley and Roy, Dipankar, The phase diagram for a multispecies left-permeable asymmetric exclusion process, J. Stat. Phys. , 174 (2019), 605-621. (Article) (Review)
  8. Ayyer, Arvind and Linusson, Svante, Reverse juggling processes, Random Structures Algorithms , 55 (2019), 56-72. (Article) (Review)
  9. Ayyer, Arvind and Bouttier, Jérémie and Corteel, Sylvie and Linusson, Svante and Nunzi, Françcois, Bumping sequences and multispecies juggling, Adv. in Appl. Math. , 98 (2018), 100-126. (Article) (Review)
  10. Ayyer, Arvind and Finn, Caley and Roy, Dipankar, Matrix product solution of a left-permeable two-species asymmetric exclusion process, Phys. Rev. E , 97 (2018), 012151, 10. (Article) (Review)
  11. Ayyer, Arvind and Prasad, Amritanshu and Spallone, Steven, Odd partitions in Young's lattice, Sém. Lothar. Combin. , 75 (2018), Art. B75g, 13. (Review)
  12. Ayyer, Arvind and Ramassamy, Sanjay, The Hilbert-Galton board, ALEA Lat. Am. J. Probab. Math. Stat. , 15 (2018), 755-774. (Article) (Review)
  13. Ayyer, Arvind and Linusson, Svante, Correlations in the multispecies TASEP and a conjecture by Lam, Trans. Amer. Math. Soc. , 369 (2017), 1097-1125. (Article) (Review)
  14. Ayyer, Arvind and Prasad, Amritanshu and Spallone, Steven, Representations of symmetric groups with non-trivial determinant, J. Combin. Theory Ser. A , 150 (2017), 208-232. (Article) (Review)
  15. Ayyer, Arvind and Schilling, Anne and Thiéry, Nicolas M., Spectral gap for random-to-random shuffling on linear extensions, Exp. Math. , 26 (2017), 22-30. (Article) (Review)
  16. Ayyer, Arvind, Full current statistics for a disordered open exclusion process, J. Phys. A , 49 (2016), 155003, 10. (Article) (Review)
  17. Ayyer, Arvind, A statistical model of current loops and magnetic monopoles, Math. Phys. Anal. Geom. , 18 (2015), Art. 16, 19. (Article) (Review)
  18. Ayyer, Arvind and Bouttier, Jérémie and Corteel, Sylvie and Nunzi, Françcois, Multivariate juggling probabilities, Electron. J. Probab. , 20 (2015), no. 5, 29. (Article) (Review)
  19. Ayyer, Arvind and Schilling, Anne and Steinberg, Benjamin and Thiéry, Nicolas M., Markov chains, $\scr{R}$-trivial monoids and representation theory, Internat. J. Algebra Comput. , 25 (2015), 169-231. (Article) (Review)
  20. Ayyer, Arvind and Schilling, Anne and Steinberg, Benjamin and Thiéry, Nicolas M., Directed nonabelian sandpile models on trees, Comm. Math. Phys. , 335 (2015), 1065-1098. (Article) (Review)
  21. Ayyer, Arvind and Bouttier, Jérémie and Corteel, Sylvie and Nunzi, Françcois, Multivariate juggling probabilities, Proceedings of the 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms , (2014), 1-12. (Review)
  22. Ayyer, Arvind and Klee, Steven and Schilling, Anne, Markov chains for promotion operators, Algebraic monoids, group embeddings, and algebraic combinatorics , 71 (2014), 285-304. (Article) (Review)
  23. Ayyer, Arvind and Klee, Steven and Schilling, Anne, Combinatorial Markov chains on linear extensions, J. Algebraic Combin. , 39 (2014), 853-881. (Article) (Review)
  24. Ayyer, Arvind and Linusson, Svante, An inhomogeneous multispecies TASEP on a ring, Adv. in Appl. Math. , 57 (2014), 21-43. (Article) (Review)

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