Sergi Elizalde

Selected Publications

• Counting lattice paths by crossings and major index I: the corner-flipping bijections, Combinatorial Theory 2 (2) (2022), #14.

• The degree of symmetry of lattice paths, Ann. Comb. 25 (2021), 877-911.

• Descents on quasi-Stirling permutations, J. Combin. Theory Ser. A, 180 (2021) 105429.

• Pervasive chromosomal instability and karyotype order during tumour evolution (with T. Watkins, E. Lim, M. Petkovic, ..., R. Schwarz, N. McGranahan, C. Swanton), Nature 587, 126-132 (2020).

• Wilf equivalences between vincular patterns in inversion sequences (with J.S. Auli), Appl. Math. Comput. 388 (2020) 125514.

• On cyclic Schur-positive sets of permutations (with J. Bloom and Y. Roichman), Electron. J. Combin. 27(2) (2020), #P2.6.

• Characterizations and enumerations of patterns of signed shifts (with K. Moore), Discrete Appl. Math 277 (2020), 92-114.

• Exact and asymptotic enumeration of cyclic permutations according to descent set (with J. Troyka), J. Combin. Theory Ser. A 165 (2019), 360-391.

• A Markov chain for numerical chromosomal instability in clonally expanding populations (with A. Laughney and S. Bakhoum), PLoS Comput. Biol. 14(9): e1006447.

• Symmetries of statistics on lattice paths between two boundaries (with  M. Rubey), Adv. Math. 287 (2016), 347-388.