@article{CCG,
  title={Rotor-routing and spanning trees on planar graphs},
  author={Chan, Melody and Church, Thomas and Grochow, Joshua A},
  fjournal={International Mathematics Research Notices},
    journal = {Int. Math. Res. Not. IMRN},
  volume={2015},
  number={11},
  year={2014},
  publisher={Oxford University Press}
}

@article{Gioan,
title = "Circuit-Cocircuit Reversing Systems in Regular Matroids",
journal = "Annals of Combinatorics",
volume = "12",
pages = "171-182",
year = "2008",
doi = "https://doi.org/10.1007/s00026-008-0345-2",
author = "Emeric Gioan",
}    

@MISC {JSE,
    TITLE = {What is the sandpile torsor?},
    AUTHOR = {Jordan Ellenberg},
    HOWPUBLISHED = {MathOverflow},
    year = {2011},
    URL = {https://mathoverflow.net/q/83552}
}

@book{divisorsbook,
  title={Divisors and sandpiles},
  author={Corry, Scott and Perkinson, David},
  volume={114},
  year={2018},
  publisher={American Mathematical Soc.}
}

@article{BW,
author = {Baker, Matthew and Wang, Yao},
title = {The {Bernardi} Process and Torsor Structures on Spanning Trees},
fjournal = {International Mathematics Research Notices},
    journal = {Int. Math. Res. Not. IMRN},
volume = {},
number = {},
year = {2017},
doi = {10.1093/imrn/rnx037},

}

@article{alextorsors,
  TITLE = {Determining genus from sandpile torsor algorithms},
  AUTHOR = {McDonough, Alex},
  URL = {https://dmtcs.episciences.org/7050},
  fJOURNAL = {{Discrete Mathematics \& Theoretical Computer Science}},
    journal = {Discrete Math. Theoret. Comput. Sci.},
  VOLUME = {23},
    number={1},
  YEAR = {2021},
  MONTH = Jan,
  KEYWORDS = {Mathematics - Combinatorics},
}


@article{BBY,
  title={Geometric bijections for regular matroids, zonotopes, and {Ehrhart} theory},
  author={Backman, Spencer and Baker, Matthew and Yuen, Chi Ho},
  fjournal={Forum of Mathematics, Sigma},
    journal = {Forum Math. Sigma},
  volume={7},
  year={2019},
  organization={Cambridge University Press},
}  


@book{Klivans, 
title="The Mathematics of Chip firing",
publisher="Chapman and Hall", 
author="Klivans, Caroline",
year="2018"
}

@book{Oxley,
  title={Matroid theory},
  author={Oxley, James G},
  volume={3},
  year={2006},
  publisher={Oxford University Press, USA}
}

@incollection{Holroyd,
  title={Chip-firing and rotor-routing on directed graphs},
  author={Holroyd, Alexander E and Levine, Lionel and M{\'e}sz{\'a}ros, Karola and Peres, Yuval and Propp, James and Wilson, David B},
  booktitle={In and Out of Equilibrium 2},
  pages={331--364},
  year={2008},
  publisher={Springer}
}

@article{Biggs,
  title={Chip-firing and the critical group of a graph},
  author={Biggs, Norman L},
  fjournal={Journal of Algebraic Combinatorics},
    journal = {J. Algebraic Combin.},
  volume={9},
  number={1},
  pages={25--45},
  year={1999},
  publisher={Springer}
}



@article{Dhar92,
  title={Equivalence between the {Abelian} sandpile model and the q→ 0 limit of the {Potts} model},
  author={Majumdar, Satya N and Dhar, Deepak},
  journal={Physica A: Statistical Mechanics and its Applications},
  volume={185},
  number={1-4},
  pages={129--145},
  year={1992},
  publisher={Elsevier}
}


@article{Bernardi,
  title={Tutte polynomial, subgraphs, orientations and sandpile model: new connections via embeddings},
  author={Bernardi, Olivier},
  fjournal={the electronic journal of combinatorics},
    journal = {Electron. J. Combin.},
  volume={15},
  number={R109},
  pages={1},
  year={2008}
}


@article{Priezzhev,
  title={Eulerian walkers as a model of self-organized criticality},
  author={Priezzhev, Vyatcheslav B and Dhar, Deepak and Dhar, Abhishek and Krishnamurthy, Supriya},
  journal={Physical Review Letters},
  volume={77},
  number={25},
  pages={5079},
  year={1996},
  publisher={APS}
}

@article{Seth,
  title={Matrix tree theorems},
  author={Chaiken, Seth and Kleitman, Daniel J},
  fjournal={Journal of combinatorial theory, Series A},
    journal={J. Combin. Theory Ser. A},
  volume={24},
  number={3},
  pages={377--381},
  year={1978},
  publisher={Academic Press}
}

@article{Electric,
author = {Jekel, David and Levy, Avi and Dana, Will and Stromme, Austin and Litterell, Collin},
title = {Algebraic Properties of Generalized Graph {Laplacians}: Resistor Networks, Critical Groups, and Homological Algebra},
journal = {SIAM Journal on Discrete Mathematics},
volume = {32},
number = {2},
pages = {1040-1110},
year = {2018},
doi = {10.1137/16M1072607},
URL = { 
        https://doi.org/10.1137/16M1072607
    
},
}

@article{Lorenzini,
  title={Groups of components of {N{\'e}ron} models of {Jacobians}},
  author={Lorenzini, Dino J},
  journal={Compositio Mathematica},
  volume={73},
  number={2},
  pages={145--160},
  year={1990}
}

@article{BTW,
  title={Self-organized criticality},
  author={Bak, Per and Tang, Chao and Wiesenfeld, Kurt},
  journal={Physical review A},
  volume={38},
  number={1},
  pages={364},
  year={1988},
  publisher={APS}
}

@misc{Wagner,
  title={The critical group of a directed graph},
  author={Wagner, David G},
  eprint={math/0010241},
    eprinttype={arXiv},
  year={2000}
}


@phdthesis{alexthesis,
  title={Higher-Dimensional Sandpile Groups and Matrix-Tree Multijections},
  author={McDonough, Alex},
  year={2021},
  school = {Brown University}
}

@article{eulerianwalkers,
  title={Eulerian walkers as a model of self-organized criticality},
  author={Priezzhev, Vyatcheslav B and Dhar, Deepak and Dhar, Abhishek and Krishnamurthy, Supriya},
  journal={Physical Review Letters},
  volume={77},
  number={25},
  pages={5079},
  year={1996},
  publisher={APS}
}

@article{LL,
  title={The rotor--router model on regular trees},
  author={Landau, Itamar and Levine, Lionel},
  fjournal={Journal of Combinatorial Theory, Series A},
    journal={J. Combin. Theory Ser. A},
  volume={116},
  number={2},
  pages={421--433},
  year={2009},
  publisher={Elsevier}
}

@book{Oriented,
  title={Oriented matroids},
  author={Bj{\"o}rner, Anders and Las Vergnas, Michel and Sturmfels, Bernd and White, Neil and Ziegler, Gunter M},
  volume={46},
  year={1999},
  publisher={Cambridge University Press}
}

@phdthesis{Merino,
  title={Matroids, the {Tutte} polynomial and the chip firing game.},
  author={Merino, Criel},
  year={1999},
  school={University of Oxford}
}

@article{Bacher,
  title={The lattice of integral flows and the lattice of integral cuts on a finite graph},
  author={Bacher, Roland and La Harpe, Pierre de and Nagnibeda, Tatiana},
  journal={Bulletin de la soci{\'e}t{\'e} math{\'e}matique de France},
  volume={125},
  number={2},
  pages={167--198},
  year={1997}
}

@misc{SW,
  title={Torsor structures on spanning trees},
  author={Shokrieh, Farbod and Wright, Cameron},
  eprint={2103.10370},
    eprinttype={arXiv},
  year={2021}
}

@misc{Ding,
  title={The rotor-routing torsor and the Bernardi torsor disagree for every non-planar ribbon graph},
  author={Ding, Changxin},
  eprint={2103.01137},
    eprinttype={arXiv},
  year={2021}
}

@article{Dhar90,
  title={Self-organized critical state of sandpile automaton models},
  author={Dhar, Deepak},
  journal={Physical Review Letters},
  volume={64},
  number={14},
  pages={1613},
  year={1990},
  publisher={APS}
}


@phdthesis{Yuenthesis, 
title="Geometric Bijections of Graphs and Regular Matroids", url="http://www.aco.gatech.edu/events/final-doctoral-examination-and-defense-dissertation-chi-ho-yuen",  author="Yuen, Chi Ho", school = "Georgia Tech",
year="2018"
}

@article{selfdual,
    author = {Bondy, J. A. and Welsh, D. J. A.},
    title = "{Some results on transversal matroids and constructions for identically self-dual matroids}",
    journal = {The Quarterly Journal of Mathematics},
    volume = {22},
    number = {3},
    pages = {435-451},
    year = {1971},
    month = {09},
    issn = {0033-5606},
    doi = {10.1093/qmath/22.3.435},
    url = {https://doi.org/10.1093/qmath/22.3.435},
    eprint = {https://academic.oup.com/qjmath/article-pdf/22/3/435/4363500/22-3-435.pdf},
}

@article{eulerianwalkers2,
  title = {Dynamics of Eulerian walkers},
  author = {Povolotsky, A. M. and Priezzhev, V. B. and Shcherbakov, R. R.},
  journal = {Phys. Rev. E},
  volume = {58},
  issue = {5},
  pages = {5449--5454},
  numpages = {0},
  year = {1998},
  month = {Nov},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevE.58.5449},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.58.5449}
}

@article{Yuengeometric,
  title={Geometric bijections between spanning trees and break divisors},
  author={Yuen, Chi Ho},
  fjournal={Journal of Combinatorial Theory, Series A},
    journal={J. Combin. Theory Ser. A},
  volume={152},
  pages={159--189},
  year={2017},
  publisher={Elsevier}
}

@misc{AnkanAlex,
  author = {Ganguly, Ankan and McDonough, Alex},
  title = {Rotor-routing induces the only consistent sandpile torsor structure on plane graphs},
  eprint={2203.15079},
    eprinttype={arXiv},
  year = {2022},
}


.