%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2016-09-24 13:54:23 -0600 %% Saved with string encoding Unicode (UTF-8) @article{bhatnagar2012prove, title={How to prove Ramanujan’s q-continued fractions}, author={Bhatnagar, Gaurav}, journal={Contemporary Mathematics: Ramanujan}, volume={125}, pages={49--68}, year={2012} } @article{euler1784transformatione, title={De transformatione seriei divergentis..}, author={Euler, L}, journal={Opera Omnia, Ser. I}, pages={34--46}, year={1784} } @article{flajolet1980combinatorial, title={Combinatorial aspects of continued fractions}, author={Flajolet, P.}, journal={Discrete Math.}, volume={32}, number={2}, pages={125--161}, year={1980}, publisher={Elsevier}, DOI = {10.1016/0012-365X(80)90050-3} } @article{foata1968netto, title={On the Netto inversion number of a sequence}, author={Foata, Dominique}, journal={Proceedings of the American Mathematical Society}, volume={19}, number={1}, pages={236--240}, year={1968}, publisher={JSTOR} } @article{frame1954hook, title={The hook graphs of the symmetric group}, author={Frame, J Sutherland and Robinson, G de B and Thrall, Robert M and others}, journal={Canad. J. Math}, volume={6}, number={316}, pages={C324}, year={1954} } @article{fulmek2000continued, title={A continued fraction expansion for a q-tangent function}, author={Fulmek, Markus}, journal={S{\'e}m. Loth. Comb}, volume={45}, pages={B45b}, year={2000} } @article{gessel1985binomial, title={Binomial determinants, paths, and hook length formulae}, author={Gessel, I. and Viennot, G.}, journal={Adv. Math.}, volume={58}, number={3}, pages={300--321}, year={1985}, publisher={Elsevier}, DOI = {10.1016/0001-8708(85)90121-5}, } @article{guo2017proof, title={Proof of a conjecture of Morales-Pak-Panova on reverse plane partitions}, author={Guo, P.L. and Zhao, C.D. and Zhong, M.X.X.}, eprinttype={arXiv}, eprint={1711.03048}, year={2017} } @article{huber2010combinatorics, title={Combinatorics of generalized {$q$}-{E}uler numbers}, author={Huber, T. and Yee, A.J.}, journal={J. Combin. Theory Ser. A}, volume={117}, number={4}, pages={361--388}, year={2010}, publisher={Elsevier}, DOI = {10.1016/j.jcta.2009.07.012} } @article{ikeda2009excited, title={Excited Young diagrams and equivariant Schubert calculus}, author={Ikeda, Takeshi and Naruse, Hiroshi}, journal={Transactions of the American Mathematical Society}, volume={361}, number={10}, pages={5193--5221}, year={2009} } @article{jackson1903basic, title={A basic-sine and cosine with symbolical solutions of certain differential equations}, author={Jackson, FH}, journal={Proceedings of the Edinburgh Mathematical Society}, volume={22}, pages={28--39}, year={1903}, publisher={Cambridge University Press} } @article{kreiman2005schubert, title={Schubert classes in the equivariant K-theory and equivariant cohomology of the Grassmannian}, author={Kreiman, V.}, eprinttype={arXiv}, eprint={math/0512204}, year={2005} } @article{lascoux1988ribbon, title={Ribbon schur functions}, author={Lascoux, Alain and Pragacz, Piotr}, journal={European Journal of combinatorics}, volume={9}, number={6}, pages={561--574}, year={1988}, publisher={Elsevier} } @article{lindstrom1973vector, title={On the vector representations of induced matroids}, author={Lindstr{\"o}m, B.}, journal={Bull. London Math. Soc.}, volume={5}, number={1}, pages={85--90}, year={1973}, publisher={Oxford University Press}, DOI = {10.1112/blms/5.1.85} } @article{morales2015hook, title={Hook formulas for skew shapes I. $ q $-analogues and bijections}, author={Morales, Alejandro and Pak, Igor and Panova, Greta}, journal={arXiv preprint arXiv:1512.08348}, year={2015} } @article{morales2017hook, title={Hook formulas for skew shapes II. Combinatorial proofs and enumerative applications}, author={Morales, A.H. and Pak, I. and Panova, G.}, journal={SIAM J. Discrete Math.}, volume={31}, number={3}, pages={1953--1989}, year={2017}, publisher={SIAM}, DOI = {10.1137/16M1099625} } @article{naruse2014schubert, title={Schubert calculus and hook formula}, author={Naruse, Hiroshi}, journal={Slides at 73rd S{\'e}m. Lothar. Combin., Strobl, Austria}, year={2014} } @article{prodinger2000combinatorics, title={Combinatorics of geometrically distributed random variables: new q-tangent and q-secant numbers}, author={Prodinger, H.}, journal={Int. J. Math. Math. Sci.}, volume={24}, number={12}, pages={825--838}, year={2000}, publisher={Hindawi Publishing Corporation}, url = {https://doi.org/10.1155/S0161171200004439} } @article{prodinger2008continued, title={A continued fraction expansion for a q-tangent function: an elementary proof}, author={Prodinger, Helmut}, journal={S{\'e}minaire Lotharingien de Combinatoire}, volume={60}, pages={B60b}, year={2008} } @book{stanley1972ordered, title={Ordered structures and partitions}, author={Stanley, Richard P}, volume={119}, year={1972}, publisher={American Mathematical Soc.} } @article{stanley1976binomial, title={Binomial posets, M{\"o}bius inversion, and permutation enumeration}, author={Stanley, Richard P}, journal={Journal of Combinatorial Theory, Series A}, volume={20}, number={3}, pages={336--356}, year={1976}, publisher={Elsevier} } @article{stanley2010survey, title={A survey of alternating permutations}, author={Stanley, Richard P}, journal={Contemp. Math}, volume={531}, pages={165--196}, year={2010} } @article{stanley2011enumerative, title={Enumerative Combinatorics (Volume 1 second edition)}, author={Stanley, Richard P}, journal={Cambridge studies in advanced mathematics}, year={2011} }