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Ayyer, Arvind ; Sundaravaradan, Naren (2025) An area-bounce exchanging bijection on a large subset of Dyck paths Annals of Combinatorics . ISSN 0218-0006

Ayyer, Arvind ; Martin, James ; Williams, Lauren (2025) The inhomogeneous t-PushTASEP and Macdonald polynomials at q=1 Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions . ISSN 2308-5827

Ayyer, Arvind ; Mandelshtam, Olya ; Martin, James B. (2024) Modified Macdonald polynomials and the multispecies zero range process: II Mathematische Zeitschrift, 308 (2). ISSN 0025-5874

Ayyer, Arvind ; Misra, Samarth (2024) An exactly solvable asymmetric K-exclusion process Journal of Physics A: Mathematical and Theoretical, 57 (31). p. 315001. ISSN 1751-8113

Ayyer, Arvind ; Chhita, Sunil ; Johansson, Kurt (2023) GOE fluctuations for the maximum of the top path in alternating sign matrices Duke Mathematical Journal, 172 (10). ISSN 0012-7094

Ayyer, Arvind ; Sundaravaradan, Naren (2023) Combinatorial proofs of multivariate Cayley–Hamilton theorems Linear Algebra and its Applications, 661 . pp. 247-269. ISSN 0024-3795

Ayyer, Arvind ; Mandelshtam, Olya ; Martin, James B (2023) Modified Macdonald polynomials and the multispecies zero-range process: I Algebraic Combinatorics, 6 (1). pp. 243-284. ISSN 2589-5486

Ayyer, Arvind ; Sinha, Shubham (2023) The size of t-cores and hook lengths of random cells in random partitions The Annals of Applied Probability, 33 (1). pp. 85-106. ISSN 1050-5164

Ayyer, Arvind (2022) A simple symmetric exclusion process driven by an asymmetric tracer particle Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 10 (4). pp. 687-713. ISSN 2308-5827

Ayyer, Arvind ; Kumari, Nishu (2022) Factorization of classical characters twisted by roots of unity Journal of Algebra, 609 . pp. 437-483. ISSN 0021-8693

Ayyer, Arvind ; Nadeau, Philippe (2022) Combinatorics of a disordered two-species ASEP on a torus European Journal of Combinatorics, 103 . p. 103511. ISSN 0195-6698

Aas, Erik ; Ayyer, Arvind ; Linusson, Svante ; Potka, Samu (2021) Limiting directions for random walks in classical affine Weyl groups International Mathematics Research Notices, 2023 (4). pp. 3092-3137. ISSN 1073-7928

Ayyer, Arvind ; Chhita, Sunil (2021) Correlations in totally symmetric self‐complementary plane partitions Transactions of the London Mathematical Society, 8 (1). pp. 493-526. ISSN 2052-4986

Ayyer, Arvind ; Fischer, Ilse (2020) Bijective proofs of skew Schur polynomial factorizations Journal of Combinatorial Theory, Series A, 174 . p. 105241. ISSN 0097-3165

Ayyer, Arvind ; Behrend, Roger E. ; Fischer, Ilse (2020) Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order Advances in Mathematics, 367 . p. 107125. ISSN 0001-8708

Ayyer, Arvind ; Steinberg, Benjamin (2020) Random walks on rings and modules Algebraic Combinatorics, 3 (2). pp. 309-329. ISSN 2589-5486

Ayyer, Arvind (2020) Squareness for the monopole-dimer model Annals of Combinatorics, 24 (2). pp. 237-255. ISSN 0218-0006

Aas, Erik ; Ayyer, Arvind ; Linusson, Svante ; Potka, Samu (2019) The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps Journal of Physics A: Mathematical and Theoretical, 52 (35). p. 355001. ISSN 1751-8113

Ayyer, Arvind ; Behrend, Roger E. (2019) Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions Journal of Combinatorial Theory, Series A, 165 . pp. 78-105. ISSN 0097-3165

Ayyer, Arvind ; Singla, Pooja (2019) Random motion on finite rings, I: commutative rings Algebras and Representation Theory, 23 (3). pp. 583-604. ISSN 1386-923X

Ayyer, Arvind ; Linusson, Svante (2018) Reverse juggling processes Random Structures & Algorithms, 55 (1). pp. 56-72. ISSN 1042-9832

Ayyer, Arvind ; Finn, Caley ; Roy, Dipankar (2018) The phase diagram for a multispecies left-permeable asymmetric exclusion process Journal of Statistical Physics, 174 (3). pp. 605-621. ISSN 0022-4715

Ayyer, Arvind ; Bouttier, Jérémie ; Corteel, Sylvie ; Linusson, Svante ; Nunzi, François (2018) Bumping sequences and multispecies juggling Advances in Applied Mathematics, 98 . pp. 100-126. ISSN 0196-8858

Ayyer, Arvind ; Finn, Caley ; Roy, Dipankar (2018) Matrix product solution of a left-permeable two-species asymmetric exclusion process Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, 97 (1). ISSN 2470-0045

Ayyer, Arvind ; Roy, Dipankar (2017) The exact phase diagram for a class of open multispecies asymmetric exclusion processes Scientific Reports, 7 (1). ISSN 2045-2322

Ayyer, Arvind ; Schilling, Anne ; Thiéry, Nicolas M. (2016) Spectral gap for random-to-random shuffling on linear extensions Experimental Mathematics, 26 (1). pp. 22-30. ISSN 1058-6458

Ayyer, Arvind (2016) Full current statistics for a disordered open exclusion process Journal of Physics A: Mathematical and Theoretical, 49 (15). p. 155003. ISSN 1751-8113

Ayyer, Arvind (2015) A statistical model of current loops and magnetic monopoles Mathematical Physics, Analysis and Geometry, 18 (1). ISSN 1385-0172

Ayyer, Arvind ; Schilling, Anne ; Steinberg, Benjamin ; Thiéry, Nicolas M. (2015) Directed nonabelian sandpile models on trees Communications in Mathematical Physics, 335 (3). pp. 1065-1098. ISSN 0010-3616

Ayyer, Arvind ; Schilling, Anne ; Steinberg, Benjamin ; Thiéry, Nicolas M. (2015) Markov chains, R-trivial monoids and representation theory International Journal of Algebra and Computation, 25 (01n02). pp. 169-231. ISSN 0218-1967

Ayyer, Arvind ; Bouttier, Jérémie ; Corteel, Sylvie ; Nunzi, François (2015) Multivariate juggling probabilities Electronic Journal of Probability, 20 (none). ISSN 1083-6489

Priyanka, ; Ayyer, Arvind ; Jain, Kavita (2014) Two-point correlation function of an exclusion process with hole-dependent rates Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 90 (6). ISSN 1539-3755

Ayyer, Arvind ; Linusson, Svante (2014) An inhomogeneous multispecies TASEP on a ring Advances in Applied Mathematics, 57 . pp. 21-43. ISSN 0196-8858

Ayyer, Arvind ; Klee, Steven ; Schilling, Anne (2013) Combinatorial Markov chains on linear extensions Journal of Algebraic Combinatorics, 39 (4). pp. 853-881. ISSN 0925-9899

Ayyer, Arvind ; Romik, Dan (2013) New enumeration formulas for alternating sign matrices and square ice partition functions Advances in Mathematics, 235 . pp. 161-186. ISSN 0001-8708

Ayyer, Arvind (2013) Determinants and perfect matchings Journal of Combinatorial Theory, Series A, 120 (1). pp. 304-314. ISSN 0097-3165

Arita, Chikashi ; Ayyer, Arvind ; Mallick, Kirone ; Prolhac, Sylvain (2012) Generalized matrix Ansatz in the multispecies exclusion process—the partially asymmetric case Journal of Physics A: Mathematical and Theoretical, 45 (19). p. 195001. ISSN 1751-8113

Ayyer, Arvind (2011) Algebraic properties of a disordered asymmetric Glauber model Journal of Statistical Mechanics: Theory and Experiment, 2011 (02). P02034. ISSN 1742-5468

Ayyer, Arvind (2010) A natural bijection between permutations and a family of descending plane partitions European Journal of Combinatorics, 31 (7). pp. 1785-1791. ISSN 0195-6698

Ayyer, Arvind ; Mallick, Kirone (2010) Exact results for an asymmetric annihilation process with open boundaries Journal of Physics A: Mathematical and Theoretical, 43 (4). 045003. ISSN 1751-8113

Ayyer, Arvind ; Carlen, E. A. ; Lebowitz, J. L. ; Mohanty, P. K. ; Mukamel, D. ; Speer, E. R. (2009) Phase diagram of the ABC model on an interval Journal of Statistical Physics, 137 (5-6). pp. 1166-1204. ISSN 0022-4715

Ayyer, Arvind ; Lebowitz, Joel L. ; Speer, Eugene R. (2009) On the two species asymmetric exclusion process with semi-permeable boundaries Journal of Statistical Physics, 135 (5-6). pp. 1009-1037. ISSN 0022-4715

Ayyer, Arvind ; Stenlund, Mikko (2007) Exponential decay of correlations for randomly chosen hyperbolic toral automorphisms Chaos: An Interdisciplinary Journal of Nonlinear Science, 17 (4). ISSN 1054-1500

Sharan, Alok ; Sharma, Ramesh C ; Sandhya, S.N ; Ayyer, Arvind ; Sharma, K.K (2001) Modeling absorption in saturable absorbers Optics Communications, 199 (1-4). pp. 267-275. ISSN 0030-4018