Applications of ACSV

A continuously updating list of ACSV citations from Google Scholar can be found here. Some of the papers making extensive use of ACSV methods in applications are listed below.

• Completing the Asymptotic Classification of Mostly Symmetric Short Step Walks in an Orthant by A. Kroitor and S. Melczer. Preprint, 2023.

• A class of weighted Delannoy numbers by J. M. Grau, A. M. Oller-Marcén, and J. L. Varona. Filomat 36.17, 5985-6007, 2022.

• Asymptotics of coefficients of algebraic series via embedding into rational series by Torin Greenwood, Stephen Melczer, Tiadora Ruza, and Mark C. Wilson. Proceedings of FPSAC 2022, Séminaire Lotharingien de Combinatoire, Volume 86B, Art. 30, 12, 2022. Supplement – Sage code – Sage in static HTML.

• Multivariate Analytic Combinatorics for Cost Constrained Channels and Subsequence Enumeration by Andreas Lenz, Stephen Melczer, Cyrus Rashtchian, Paul H. Siegel. Submitted, 2021.

• Asymptotic Enumeration of Lonesum Matrices by Jessica Khera, Erik Lundberg, and Stephen Melczer. Advances in Applied Mathematics, Volume 123, 102–118, 2021.

• Counting walks with large steps in an orthant by Alin Bostan, Mireille Bousquet-Mélou, and Stephen Melczer. Journal of the European Mathematical Society, Volume 23 (7), 2221–2297, 2021.

• Grove arctic curves from periodic cluster modular transformations by T. George. International Mathematics Research Notices, Volume 2021(20), 2021.

• Asymptotics of degrees and ED degrees of Segre products by G. Ottaviani, L. Sodomaco, and E. Ventura. Advances in Applied Mathematics 130, 102242, 2021.

• Spectral density functions of bivariable stable polynomials by J. S. Geronimo, H. J. Woerdeman, and C. Y. Wong. Ramanujan Journal, Volume 56(1), 2021.

• Revisiting the Complexity Analysis of Conflict-Based Search: New Computational Techniques and Improved Bounds by O. Gordon, Y. Filmus, O. Salzman. Proceedings of the Fourteenth International Symposium on Combinatorial Search (SoCS2021), 2021.

• A systematic 1/c-expansion of form factor sums for dynamical correlations in the Lieb-Liniger model by E. Granet and F. H. L. Essler. SciPost Physics, Volume 9(6), 2020.

• Quiver Asymptotics: $\mathcal{N}=1$ Free Chiral Ring by Sanjaye Ramgoolam, Mark C. Wilson and Ali Zahabi. Journal of Physics A: Mathematical and Theoretical 53 (10), 105401, 2020

• The asymptotics of reflectable weighted walks in arbitrary dimension by M. Mishna and S. Simon. Annals of Applied Mathematics, Volume 118, 2020.

• Higher Dimensional Lattice Walks: Connecting Combinatorial and Analytic Behavior by by Stephen Melczer and Mark C. Wilson. SIAM Journal on Discrete Mathematics, Volume 33(4), 2140–2174, 2019.

• Runlength-Limited Sequences and Shift-Correcting Codes: Asymptotic Analysis by M. Kovacevic. IEEE Transactions on Information Theory 2019.

• Counting derangements and Nash equilibria by R. Vidunas. Annals of Combinatorics 2017.

• The Asymptotic Number of Simple Singular Vector Tuples of a Cubical Tensor by J. Pantone. Online Journal of Analytic Combinatorics, 2017.

• Asymptotic lattice path enumeration using diagonals by Stephen Melczer and Marni Mishna. Algorithmica 75, 782-811, 2016.

• Diagonal asymptotics for products of combinatorial classes by Mark C. Wilson. Combinatorics, Probability and Computing 24 (Flajolet memorial issue), 354-372, 2015.

• Asymptotics of the extremal excedance set statistic by R. F. de Andrade, E. Lundberg, and B. Nagle. European Journal of Combinatorics 2015.

• Positivity of rational functions and their diagonals by A. Straub and W. Zudilin. Journal of Approximation Theory 2015.

• Arctic curves of the octahedron equation by P. Di Francesco and R. Soto-Garrido. Journal of Physics A, 2014.

• Scaling BPS solutions and pure-Higgs states by I. Bena, M. Berkooz, J. de Boer, S. El-Showk, and D. V. den Bleeken. Journal of High Energy Physics, 2012.

• An adic dynamical system related to the Delannoy numbers by K. Petersen. Ergodic Theory and Dynamical Systems 32, 809-823, 2012.

• Two-dimensional quantum random walk by Yuliy Baryshnikov, Wil Brady, Andrew Bressler, and Robin Pemantle. Journal of Statistical Physics 142, 78-107, 2011.

• Random walk on the integer lattice: examples and phenomena by Andrew Bressler, Torin Greenwood, Robin Pemantle, and Marko Petkovsek, Contemporary Mathematics Volume 520, 2010.

• Enumerating Rook and Queen Paths by M. Erickson, S. Fernando, and K. Tran. Bulletin of the Institute for Combinatorics and Its Applications 60, 37–48, 2010.

• Asymptotics of a family of binomial sums by R. Noble. Journal of Number Theory 130, 2561-2585, 2010.

• Quantum random walks on the integer lattice via generating functions by Andrew Bressler. PhD thesis, U. Penn., 2009.

• Entropy calculation for a toy black hole by H. Sahlmann. Classical and Quantum Gravity, 200825 (5), art. no. 055004, 2008.

• Quantum random walks in one dimension via generating functions by Andrew Bressler and Robin Pemantle. Proceedings of International Conference on Analysis of Algorithms, Juan-les-Pins, 2007.

• Quantum random walks on $\mathbb{Z}^2$ by Wil Brady. MS thesis, U. Penn., 2007.

• Asymptotics of the monomer-dimer model on two-dimensional semi-infinite lattices by Y. Kong. Physical Review E 75, 051123, 13 pages, 2007.

• Monomer-dimer model in two-dimensional rectangular lattices with fixed dimer density by T. Kong. Physical Review E 74, 061102, 15 pages, 2006.

• Common intervals in permutations by S. Corteel, G. Louchard, and R. Pemantle. Discrete Mathematics and Theoretical Computer Science 8, 189-214, 2006.

• Tournaments with many Hamilton cycles by N. Wormald. Preprint, 2001.