@article {CH4,
	title = {Spatially Periodic Instantons: Nahm Transform and Moduli},
	journal = {Comm. Math. Phys.},
	volume = {365},
	number = {1},
	year = {2019},
	pages = {255{\textendash}293},
	issn = {0010-3616},
	doi = {10.1007/s00220-018-3155-3},
	author = {Charbonneau, Benoit and Hurtubise, Jacques}
}
@article {microSER,
	title = {A microscopic model of the Stokes{\textendash}Einstein relation in arbitrary dimension},
	journal = {The Journal of Chemical Physics},
	volume = {148},
	number = {22},
	year = {2018},
	pages = {224503},
	doi = {10.1063/1.5029464},
	author = {Benoit Charbonneau and Patrick Charbonneau and Grzegorz Szamel}
}
@article {CharbonneauHarland-nkinst,
	title = {Deformations of nearly K\Hahler instantons},
	journal = {Comm. Math. Phys.},
	volume = {348},
	number = {3},
	year = {2016},
	pages = {959{\textendash}990},
	issn = {0010-3616},
	doi = {10.1007/s00220-016-2675-y},
	author = {Charbonneau, Benoit and Harland, Derek}
}
@article {CharbonneauStern,
	title = {Asymptotic Hodge theory of vector bundles},
	journal = {Comm. Anal. Geom.},
	volume = {23},
	number = {3},
	year = {2015},
	pages = {559{\textendash}609},
	issn = {1019-8385},
	doi = {10.4310/CAG.2015.v23.n3.a4},
	author = {Benoit Charbonneau and Mark Stern}
}
@article {SE2013,
	title = {Dimensional dependence of the Stokes{\textendash}Einstein relation and its violation},
	journal = {The Journal of Chemical Physics},
	volume = {139},
	number = {16},
	year = {2013},
	pages = {164502},
	doi = {10.1063/1.4825177},
	author = {Benoit Charbonneau and Patrick Charbonneau and Yuliang Jin and Giorgi Parisi and Francesco Zamponi}
}
@article {Charbonneau2Tarjus2012b,
	title = {Geometrical frustration and static correlations in hard-sphere glass formers},
	journal = {Journal of Chemical Physics},
	volume = {138},
	number = {12},
	year = {2013},
	pages = {12A515},
	abstract = {We analytically and numerically characterize the structure of hard-sphere fluids in order to review various geometrical frustration scenarios of the glass transition. We find generalized polytetrahedral order to be correlated with increasing fluid packing fraction, but to become increasingly irrelevant with increasing dimension. We also find the growth in structural correlations to be modest in the dynamical regime accessible to computer simulations.},
	doi = {10.1063/1.4770498},
	author = {Benoit Charbonneau and Patrick Charbonneau and Gilles Tarjus}
}
@article {avecPatrick2,
	title = {Geometrical Frustration and Static Correlations in a Simple Glass Former},
	journal = {Phys. Rev. Lett.},
	volume = {108},
	year = {2012},
	month = {Jan},
	pages = {035701},
	publisher = {American Physical Society},
	doi = {10.1103/PhysRevLett.108.035701},
	author = {Charbonneau, Benoit and Charbonneau, Patrick and Tarjus, Gilles}
}
@article {benoitjacques3,
	title = {Singular Hermitian{\textendash}Einstein monopoles on the product of a circle and a Riemann surface},
	journal = {Int. Mat. Res. Not.},
	volume = {2011},
	number = {1},
	year = {2011},
	pages = {175{\textendash}216},
	doi = {10.1093/imrn/rnq059},
	author = {Benoit Charbonneau and Jacques Hurtubise}
}
@conference {benoitjacques2,
	title = {The Nahm transform for calorons},
	booktitle = {The many facets of geometry: a tribute to Nigel Hitchin},
	year = {2010},
	author = {Benoit Charbonneau and Jacques Hurtubise},
	editor = {Jean-Pierre Bourguignon, Oscar Garcia-Prada and Simon Salamon}
}
@article {avecAtherton,
	title = {Bayesian optimal design for changepoint problems},
	journal = {Canadian Journal of Statistics},
	volume = {37},
	year = {2009},
	pages = {495{\textendash}513},
	doi = {10.1002/cjs.10037},
	author = {Juli Atherton and Benoit Charbonneau and David B. Wolfson and Lawrence Joseph and Xiaojie Zhou and Alain Vandal}
}
@article {vanMeel2009,
	title = {Hard-sphere crystallization gets rarer with increasing dimension},
	journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)},
	volume = {80},
	number = {6},
	year = {2009},
	pages = {061110},
	publisher = {APS},
	abstract = {We recently found that crystallization of monodisperse hard spheres from the bulk fluid faces a much higher free energy barrier in four than in three dimensions at equivalent supersaturation, due to the increased geometrical frustration between the simplex-based fluid order and the crystal [J.A. van Meel, D. Frenkel, and P. Charbonneau, Phys. Rev. E 79, 030201(R) (2009)]. Here, we analyze the microscopic contributions to the fluid-crystal interfacial free energy to understand how the barrier to crystallization changes with dimension. We find the barrier to grow with dimension and we identify the role of polydispersity in preventing crystal formation. The increased fluid stability allows us to study the jamming behavior in four, five, and six dimensions and compare our observations with two recent theories [C. Song, P. Wang, and H. A. Makse, Nature 453, 629 (2008); G. Parisi and F. Zamponi, Rev. Mod. Phys, in press (2009)].},
	keywords = {crystallisation, free energy, liquid theory, statistical mechanics, surface energy},
	doi = {10.1103/PhysRevE.80.061110},
	author = {J. A. van Meel and B. Charbonneau and A. Fortini and P. Charbonneau}
}
@article {yuriytupper,
	title = {Weak convergence in the Prokhorov metric of methods for stochastic differential equations},
	journal = {IMA J Numerical Analysis},
	year = {2009},
	abstract = {We consider the weak convergence of numerical methods for stochastic differential equations (SDEs). Weak convergence is usually expressed in terms of the convergence of expected values of test functions of the trajectories. Here we present an alternative formulation of weak convergence in terms of the well-known Prokhorov metric on spaces of random variables. For a general class of methods we establish bounds on the rates of convergence in terms of the Prokhorov metric. In doing so, we revisit the original proofs of weak convergence and show explicitly how the bounds on the error depend on the smoothness of the test functions. As an application of our result, we use the Strassen-Dudley theorem to show that the numerical approximation and the true solution to the system of SDEs can be re-embedded in a probability space in such a way that the method converges there in a strong sense. One corollary of this last result is that the method converges in the Wasserstein distance, another metric on spaces of random variables. Another corollary establishes rates of convergence for expected values of test functions, assuming only local Lipschitz continuity. We conclude with a review of the existing results for pathwise convergence of weakly converging methods and the corresponding strong results available under re-embedding.},
	doi = {10.1093/imanum/drn067},
	author = {Benoit Charbonneau and Yuriy Svyrydov and P. F. Tupper}
}
@article {benoitjacques1,
	title = {Calorons, Nahm{\textquoteright}s equations on $S^1$ and bundles over $\mathbbP^1\times \mathbbP^1$},
	journal = {Comm. Math. Phys.},
	volume = {280 (2)},
	year = {2008},
	pages = {315{\textendash}349},
	doi = {10.1007/s00220-008-0468-7},
	author = {Benoit Charbonneau and Jacques Hurtubise}
}
@article {benoitpaper,
	title = {From spatially periodic instantons to singular monopoles},
	journal = {Comm. Anal. Geom.},
	volume = {14},
	number = {1},
	year = {2006},
	pages = {183{\textendash}214},
	url = {http://www.intlpress.com/CAG/CAG-v14.php$\#$v14n1},
	author = {Benoit Charbonneau}
}
@mastersthesis {benoitthesis,
	title = {Analytic aspects of periodic instantons},
	year = {2004},
	month = {September},
	school = {Massachusetts Institute of Technology},
	type = {phd},
	address = {Cambridge, MA, USA},
	url = {http://hdl.handle.net/1721.1/26746},
	author = {Charbonneau, Benoit}
}
