% Encoding: UTF-8 @misc{GHMP2, author = {Galashin, P. and Hopkins, S. and McConville, T. and Postnikov, A.}, title = {Root system chip-firing II: Central-firing}, eprint={1708.04849}, eprinttype={arxiv}, year = {2017}, } @article{FK19, author={Felzenszwalb, Pedro and Klivans, Caroline}, title={Flow-firing processes}, journal={Journal of Combinatorial Theory, Series A}, volume={175}, year=2020 } @Article{BLS91, author = {Bj\"{o}rner, A. and Lov\'{a}sz, L. and Shor, P.}, title = {Chip-firing Games on Graphs}, pages = {283-291}, volume = {12}, journal = {European J. Combin.}, year = {1991}, } @Article{E76, author = {Engel, A.}, title = {Why does the probabilistic abacus work?}, pages = {59-69}, doi={10.1007/BF00144359}, volume = {7}, journal = {Educational Studies in Mathematics}, year = {1976}, } @Article{Newman42, author = {Newman, M.}, title = {On theories with a combinatorial definition of ``equivalence''}, pages = {223-243}, doi={10.2307/1968867}, volume = {43}, journal = {Ann. of Math}, year = {1942}, } @Article{GHMP1, author = {Galashin, P. and Hopkins, S. and McConville, T. and Postnikov, A.}, title = {Root system chip-firing I: Interval-firing}, pages = {1337-1385}, doi={10.1007/s00209-018-2159-1}, volume = {292}, journal = {Math. Z.}, year = {2019}, } @misc{HMP16, author = {Hopkins, S. and McConville, T. and Propp, J.}, title = {Sorting via Chip-Firing}, eprint={1612.06816}, eprinttype={arxiv}, year = {2016}, } @misc{Hopkins16, author = {Hopkins, S.}, title = {Sorting via chip-firing}, note = {AMS Fall Central Sectional Meeting, \href{http://www-users.math.umn.edu/~shopkins/docs/chip_firing_sorting.pdf}{Link.}}, year = {2016}, } @Article{BTW87, author = {Bak, P. and Tang, C. and Wiesenfeld, K.}, title = {Self-organized criticality: An explanation of the 1/f noise}, pages = {381-384}, volume = {59}, doi={10.1103/PhysRevLett.59.381}, journal = {Phys. Rev. Lett.}, year = {1987}, } @Article{ALSSTW89, author = {Anderson, R. and Lov\'{a}sz, L. and Shor, P. and Spencer, J. and Tardos, E. and Winograd, S.}, title = {Disks, Balls, and Walls: Analysis of a Combinatorial Game}, pages = {481-493}, volume = {96}, doi={10.2307/2323970}, journal = {Amer. Math. Monthly}, year = {1989}, } @Book{Klivans18, author = {Klivans, C.}, title = {The Mathematics of Chip-Firing}, doi={10.1201/9781315206899}, publisher = {Taylor and Francis Group}, address = {Boca Raton, FL}, year = {2018}, }