<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Charbonneau, Benoit</style></author><author><style face="normal" font="default" size="100%">Hurtubise, Jacques</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Spatially Periodic Instantons: Nahm Transform and Moduli</style></title><secondary-title><style face="normal" font="default" size="100%">Comm. Math. Phys.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2019</style></year></dates><number><style face="normal" font="default" size="100%">1</style></number><volume><style face="normal" font="default" size="100%">365</style></volume><pages><style face="normal" font="default" size="100%">255–293</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author><author><style face="normal" font="default" size="100%">Patrick Charbonneau</style></author><author><style face="normal" font="default" size="100%">Grzegorz Szamel</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A microscopic model of the Stokes–Einstein relation in arbitrary dimension</style></title><secondary-title><style face="normal" font="default" size="100%">The Journal of Chemical Physics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><number><style face="normal" font="default" size="100%">22</style></number><volume><style face="normal" font="default" size="100%">148</style></volume><pages><style face="normal" font="default" size="100%">224503</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Charbonneau, Benoit</style></author><author><style face="normal" font="default" size="100%">Harland, Derek</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Deformations of nearly K\Hahler instantons</style></title><secondary-title><style face="normal" font="default" size="100%">Comm. Math. Phys.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2016</style></year></dates><number><style face="normal" font="default" size="100%">3</style></number><volume><style face="normal" font="default" size="100%">348</style></volume><pages><style face="normal" font="default" size="100%">959–990</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author><author><style face="normal" font="default" size="100%">Mark Stern</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Asymptotic Hodge theory of vector bundles</style></title><secondary-title><style face="normal" font="default" size="100%">Comm. Anal. Geom.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2015</style></year></dates><number><style face="normal" font="default" size="100%">3</style></number><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">559–609</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author><author><style face="normal" font="default" size="100%">Patrick Charbonneau</style></author><author><style face="normal" font="default" size="100%">Yuliang Jin</style></author><author><style face="normal" font="default" size="100%">Giorgi Parisi</style></author><author><style face="normal" font="default" size="100%">Francesco Zamponi</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Dimensional dependence of the Stokes–Einstein relation and its violation</style></title><secondary-title><style face="normal" font="default" size="100%">The Journal of Chemical Physics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2013</style></year></dates><number><style face="normal" font="default" size="100%">16</style></number><volume><style face="normal" font="default" size="100%">139</style></volume><pages><style face="normal" font="default" size="100%">164502</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author><author><style face="normal" font="default" size="100%">Patrick Charbonneau</style></author><author><style face="normal" font="default" size="100%">Gilles Tarjus</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Geometrical frustration and static correlations in hard-sphere glass formers</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Chemical Physics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2013</style></year></dates><number><style face="normal" font="default" size="100%">12</style></number><volume><style face="normal" font="default" size="100%">138</style></volume><pages><style face="normal" font="default" size="100%">12A515</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">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.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Charbonneau, Benoit</style></author><author><style face="normal" font="default" size="100%">Charbonneau, Patrick</style></author><author><style face="normal" font="default" size="100%">Tarjus, Gilles</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Geometrical Frustration and Static Correlations in a Simple Glass Former</style></title><secondary-title><style face="normal" font="default" size="100%">Phys. Rev. Lett.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year><pub-dates><date><style  face="normal" font="default" size="100%">Jan</style></date></pub-dates></dates><publisher><style face="normal" font="default" size="100%">American Physical Society</style></publisher><volume><style face="normal" font="default" size="100%">108</style></volume><pages><style face="normal" font="default" size="100%">035701</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author><author><style face="normal" font="default" size="100%">Jacques Hurtubise</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Singular Hermitian–Einstein monopoles on the product of a circle and a Riemann surface</style></title><secondary-title><style face="normal" font="default" size="100%">Int. Mat. Res. Not.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><number><style face="normal" font="default" size="100%">1</style></number><volume><style face="normal" font="default" size="100%">2011</style></volume><pages><style face="normal" font="default" size="100%">175–216</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author><author><style face="normal" font="default" size="100%">Jacques Hurtubise</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Jean-Pierre Bourguignon, Oscar Garcia-Prada</style></author><author><style face="normal" font="default" size="100%">Simon Salamon</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">The Nahm transform for calorons</style></title><secondary-title><style face="normal" font="default" size="100%">The many facets of geometry: a tribute to Nigel Hitchin</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Juli Atherton</style></author><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author><author><style face="normal" font="default" size="100%">David B. Wolfson</style></author><author><style face="normal" font="default" size="100%">Lawrence Joseph</style></author><author><style face="normal" font="default" size="100%">Xiaojie Zhou</style></author><author><style face="normal" font="default" size="100%">Alain Vandal</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Bayesian optimal design for changepoint problems</style></title><secondary-title><style face="normal" font="default" size="100%">Canadian Journal of Statistics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><volume><style face="normal" font="default" size="100%">37</style></volume><pages><style face="normal" font="default" size="100%">495–513</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. A. van Meel</style></author><author><style face="normal" font="default" size="100%">B. Charbonneau</style></author><author><style face="normal" font="default" size="100%">A. Fortini</style></author><author><style face="normal" font="default" size="100%">P. Charbonneau</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Hard-sphere crystallization gets rarer with increasing dimension</style></title><secondary-title><style face="normal" font="default" size="100%">Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">crystallisation</style></keyword><keyword><style  face="normal" font="default" size="100%">free energy</style></keyword><keyword><style  face="normal" font="default" size="100%">liquid theory</style></keyword><keyword><style  face="normal" font="default" size="100%">statistical mechanics</style></keyword><keyword><style  face="normal" font="default" size="100%">surface energy</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><number><style face="normal" font="default" size="100%">6</style></number><publisher><style face="normal" font="default" size="100%">APS</style></publisher><volume><style face="normal" font="default" size="100%">80</style></volume><pages><style face="normal" font="default" size="100%">061110</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">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)].</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author><author><style face="normal" font="default" size="100%">Yuriy Svyrydov</style></author><author><style face="normal" font="default" size="100%">P. F. Tupper</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Weak convergence in the Prokhorov metric of methods for stochastic differential equations</style></title><secondary-title><style face="normal" font="default" size="100%">IMA J Numerical Analysis</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">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.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author><author><style face="normal" font="default" size="100%">Jacques Hurtubise</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Calorons, Nahm's equations on $S^1$ and bundles over $\mathbbP^1\times \mathbbP^1$</style></title><secondary-title><style face="normal" font="default" size="100%">Comm. Math. Phys.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2008</style></year></dates><volume><style face="normal" font="default" size="100%">280 (2)</style></volume><pages><style face="normal" font="default" size="100%">315–349</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Benoit Charbonneau</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">From spatially periodic instantons to singular monopoles</style></title><secondary-title><style face="normal" font="default" size="100%">Comm. Anal. Geom.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2006</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.intlpress.com/CAG/CAG-v14.php#v14n1</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">1</style></number><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">183–214</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>32</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Charbonneau, Benoit</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Analytic aspects of periodic instantons</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2004</style></year><pub-dates><date><style  face="normal" font="default" size="100%">September</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://hdl.handle.net/1721.1/26746</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Massachusetts Institute of Technology</style></publisher><pub-location><style face="normal" font="default" size="100%">Cambridge, MA, USA</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">phd</style></work-type></record></records></xml>