link nc-bv23.tex:fellowship, and an AIM fellowship.
link DP07.tex:the American Institute of Mathematics in Palo Alto,
link pcxip7e.tex:the American Institute of Mathematics and the NSF Focused Research
link zetaof2poly4f.tex:American Institute of Mathematics and
link fsz10.tex:Science Foundation and the American Institute of Mathematics (AIM)} \and
link fhi-arXiv.tex:à l'American Institute of Mathematics --~Palo Alto, USA~-- à l'automne 2000 et
link dime16.tex:Theory'' in 2007 and we are grateful to AIM for this opportunity.
link gre_DGWY_arx.tex:the Banff International Research Station and the American Institute of
link minrank-table.tex: webpage has links to the AIM minimum rank graph catalog: Families
link sn05cs_paperII_pastorello_astroph.tex:$^{21}$ CEA Sacly, DSM/IRFU/SAp, AIM -- Unit\'e\ Mixte de Recherche CEA -- CNRS -- Universit\'e\ Paris Diderot --
link MV-IHES.tex:\begin{acknowledgement} The present work started during a visit of the first author at the Courant Institute (New York) and ended basically during the workshop ``Analytic Theory of GL(3) Automorphic Forms and Applications'' at the AIM (Palo Alto); parts of it were written during visits at the RIMS, at the IHES and at Caltech for the first author and visits at the IAS and the IHES for the second.
link subharm.tex:of American Institute of Mathematics, in particular it gives the
link paper20.tex:\address{American Institute of Mathematics, Palo Alto, CA}
link BDM_final.tex:The motivation for Theorem \ref{MainTheorem} came from a topic of discussion at the AIM workshop ``The uniform boundedness conjecture in arithmetic dynamics'' in Palo Alto in January 2008.
link goesmiller_aveBSD70.tex:M. P. Young, \emph{Basics of elliptic curves}, talk at the American Institute of Mathematics,
link lensfill.tex:\address{American Institute of Mathematics, Palo Alto, CA 94306}
link QSD_thirddraft.tex:The author would like to thank Ingrid Daubechies, Sinan Gunturk, and Felix Krahmer for invaluable discussions on this topic. She is grateful to the American Institute of Mathematics for holding the conference, ``Frames for the finite world: Sampling, coding, and quantization," where this project originated.
link zetaprime.tex:American Institute of Mathematics and the National Science Foundation}
link gapandderiv3f.tex:American Institute of Mathematics\endgraf
link Zero_params_arxiv.tex:\thanks{Part of this research was done at the American Institute of Mathematics SQuaRE,``Minimum Rank of Symmetric Matrices described by a Graph," and the authors thank AIM and NSF for their support.}}
link hodge12.tex:Grants 0554280 and 0602333. We appreciate the hospitality of the American Institute of
link Kloosterman.tex: thank the American Institute of Mathematics (AIM) for hosting us for a week as part of the NSF-funded (DMS-0901523)
link blowdowns.tex:\affiliationthree{Jeremy Van Horn-Morris \\American Institute of Mathematics\\
link paper-final.tex:We thank Drexel University and the American Institute for Mathematics (AIM) for hosting two
link Cables-2011-8-11.tex:\address{American Institute of Mathematics, 360 Portage Ave
link text2.tex:Theory'' in 2007 and we are grateful to AIM for this opportunity.
link Borcea-conj-12-24.tex:and by the American Institute of Mathematics in Palo Alto). Without aiming at completeness, the following pages offer a glimpse at
link hodge-hilb14.tex:Grants 0554280 and 0602333. We appreciate the hospitality of the American Institute of
link degree_ten_pac_j_final.tex:American Institute of Mathematics\endgraf
link top-ehrhart.tex:American Institute of Mathematics, Palo Alto, in July 2009 and
link outliers.tex:This work was conducted during a workshop at the American Institute of Mathematics. We thank Larry Abbott for raising these questions. After posing this question at the workshop, Alice Guionnet provided the key insight, namely to reduce matters to studying coefficients of the resolvent of $\frac{1}{\sqrt{n}} X_n$, while Percy Deift emphasised the significance of the identity \eqref{det-ident} to questions of this type (and indeed, this identity is crucial in order to efficiently handle the higher rank case $k > 1$). The author also thanks Sasha Soshnikov and Phillip Wood for useful discussions, Florent Benaych-Georges, Djalil Chafai and Raj Rao for references, and Phillip Wood for corrections. We are also indebted to Phillip Wood for supplying the figures for this paper. Finally, we thank the anonymous referees for many helpful comments, corrections, and references.
link FHmrsurvey2010-final.tex: used to show that a number of graphs in the the AIM Minimum
link Iteration_Index_CDKY.tex:\bibitem{AIM} AIM Minimum Rank - Special Graphs Work Group (F. Barioli,
link booleanforcing011211.tex:Graphs Work Group, AIM Minimum Rank -- Special Graphs Work Group (F. Barioli,
link final.tex:\noindent {\bf Acknowledgments.} We thank the American Institute of
link annular-eff-latest_submit.tex:The Grayce B. Kerr Foundation, The American Institute of Mathematics
link thfac-xxx.tex: American Institute of Mathematics\\
link ZFQC.tex:\author{Daniel Burgarth\thanks{Institute of Mathematics and Physics, Aberystwyth University, SY23 3BZ Aberystwyth, United Kingdom; \texttt{daniel@burgarth.de}.}\and Domenico D'Alessandro\thanks{Department of Mathematics, Iowa State University, Ames, IA 50011, USA; \texttt{dmdaless@gmail.com}.} \and Leslie Hogben\thanks{Department of Mathematics, Iowa State University, Ames, IA 50011, USA, and American Institute of Mathematics, 360 Portage Ave, Palo Alto, CA 94306, USA; \texttt{lhogben@iastate.edu; hogben@aimath.org}.} \and Simone Severini\thanks{Department of Computer Science, and Department of Physics \& Astronomy,
link rankbound.tex:by the American Institute of Mathematics.
link SOSQCD13.tex:%$^\sharp$ & American Institute of Mathematics, \\
link periodpoly11e.tex:American Institute of Mathematics\endgraf
link pdf_rosette_13032012_let.tex: IRFU/SAp CEA/DSM, Laboratoire AIM CNRS - Universit\'e Paris
link Submit.tex: Valentin Blomer for many discussions, comments and suggestions regarding this work. Thanks also to Steve J. Miller and Matt Young for comments on an earlier draft. Much of this work was carried out during the 2009-2010 special year in analytic number theory at IAS, and it is a pleasure for the authors to acknowledge the fantastic working conditions. This work has its roots dating back to the AIM workshop ``Analytic theory of GL(3) automorphic forms and applications'' in November 2008, and we also thank the organizers of this meeting.
link newpark.tex:%Vic AIM Revision--reworded the following sentence as requested by referee
link SobolevExtension.tex:We are grateful to B. Klartag and A. Naor for introducing us to the idea of sparsification, and for several lively discussions. We are grateful also to the NSF, the ONR, and the American Institute of Math (AIM) for generous support. Key ideas arose during fruitful workshops held at AIM and at the College of William and Mary. We are grateful to P. Shvartsman and Nahum Zobin for lively discussions.
link dihedral_symmetric_spaces.tex:The authors thank the American Institute of Mathematics in Palo Alto,
link AGHL1_5.tex:The authors would like to thank Bj{\o}rn Dundas and Lars Hesseholt for several helpful conversations regarding this project, and the referee for careful reading of the manuscript and for a greatly tightened Lemma~\ref{lem:Euclid}. The authors would also like to thank the American Institute of Mathematics (AIM). Some of this work was done during a visit to AIM under the SQuaREs program.
link symmetriccones_arxiv.tex: The authors thank the American Institute of Mathematics for support of our SQuaRE working group on ``Polyhedral Geometry and Partition Theory.''
link counterexample.tex:\textbf{Acknowledgements}: This work was developed during a workshop hosted by the American Institute of Math (AIM). We would like to thank the NSF, ONR, AIM, and the workshop organizers for their generosity.
link SESUP.tex:P.S.~Fleming, S.R.~Garcia, and G.~Karaali were partially supported by the American Institute of Mathematics (AIM)
link Brenner-Hochster-Kollar-Problem-09062012.tex:American Institute of Mathematics (AIM) and the Office of Naval Research
link MPSV_5_25_14.tex:{\bf Acknowledgements} It is a pleasure to thank Bjorn Poonen and Burt Totaro for very useful discussions. Bjorn Poonen sent us \cite{LW_transfer} and work on Theorem \ref{HasseX}. Burt Totaro sent \cite{Berhuy_Favi}, and we thank them both. We also wish to thank Jochen G\"artner for Example \ref{Gartner} and interesting correspondence, J\'an Min\'a\v{c} for interesting correspondence, and Aravind Asok, Jason Starr and all of the participants of AIM workshop {\em Rational curves and $\mathbb{A}^1$-homotopy theory} for discussing this problem with the second author.
link revision_for_rama.tex:We showed at AIM that the cone over $\PP_n^{(\s)}$ for $\s$ a $1\bmod k$ sequence is not Gorenstein for any~$n$, according to our photos.
link evaluation_few_lms_final.tex:American Institute of Mathematics\\
link highestlowest5a.tex:%American Institute of Mathematics\endgraf
link degree34v6b.tex:American Institute of Mathematics\endgraf
link smooth_neighbors_2.tex:\begin{address}{American Institute of Mathematics\\
link survey.tex:In addition, we would also like to thank Dietmar Bisch and Yasuyuki Kawahigashi for their support and interest in this project. Furthermore, this work would not be possible without deep foundational work by Alain Connes, Adrian Ocneanu, and Sorin Popa. We are also grateful for the hospitality of several places which hosted us while we were working on this project. In particular, we'd like to thank Dietmar Bisch, the Shanks family, and Vanderbilt for hosting a conference where this work began. We're grateful to Kyoto University, the University of Tokyo, Microsoft Station Q, Canada/USA Mathcamp and the American Institute of Mathematics for hosting. The second and third authors would also like to thank the Jones family for allowing us to use their home in Bodega Bay for a number of `planar algebra programming camps'.
link wrapcy.tex:and attendees of the 2009 AIM Conference on Cyclic Homology and
link RandomWeightedGraphs90.tex:\thanks{Portions of this work were completed at REUs at AIM and Williams College; we thank our colleagues there for helpful conversations on earlier drafts. The first named author was partially supported by an NSERC Discovery Grant. The third named author was partially supported by NSF grants DMS0600848 and DMS0970067. The fourth named author was partially supported by NSF grant DMS0850577, Brown University and Williams College.}
link connectivity_final.tex:We would like to thank Bernhard Bodmann, Gitta Kutyniok, and Tim Roemer for organizing the American Institute of Mathematics workshop ``Frame Theory intersects Geometry" where this work began. We also thank the American Institute of Mathematics for their great generosity. J.\ Cahill was supported by NSF Grant No.\ ATD-1321779. D.\ G.\ Mixon was supported by NSF Grant No.\ DMS-1321779. N.\ Strawn was supported by NSF Grant No.\ DMS-10-45153. The views expressed in this article are those of the authors and do not reflect the official policy or position of the United States Air Force, Department of Defense, or the U.S. Government.
link intransitive_diceY5.tex:\address{American Institute of Mathematics,
link Frames.11.30.tex:{\bf Acknowledgements.} We are very grateful to the conference held at the AIM conference
link restrictedpartitions.tex:American Institute of Mathematics, Palo Alto, in March 2012. V.~Baldoni was partially supported by the
link ReesHeine_Jan8_arXiv.tex:\address[ELB]{American Institute of Mathematics,
link GuessingGames-final.tex:\noindent\textit{American Institute of Mathematics, 360 Portage Avenue, Palo Alto, CA 94306 \\
link Chekroun_Liu14_ACTA_Appl_Math_arxiv.tex:The main purpose of this article is to introduce a general {\mk framework \textemdash\, in the continuity but different from the AIM approach \textemdash\,} for the {\mk effective} derivation of {\it suboptimal low-dimensional} solutions to {\mk optimal control problems associated with nonlinear PDE such as \eqref{PDE1intro} given below}. To be more specific, given an ambient Hilbert space, $\mathcal{H}$, the control problems of PDEs we will consider hereafter take the following abstract form:
link boundedgaps.tex:This work began at the American Institute of Mathematics workshop on arithmetic statistics over finite fields and function fields. We would like to thank AIM for providing the opportunity for us to work together.
link SLII.tex:American Institute of Mathematics, Palo Alto, in July 2009,
link GAM_index3.tex:\subsection{GAIM estimation}
link aw_Sk_.tex:\footnotetext[2]{American Institute of Mathematics, 360 Portage Ave, Palo Alto, CA 94306, USA (hogben@aimath.org).}
link tensor_paper12_09_14PC.tex:\thanks{The authors acknowledge the support of the Simons Institute of Theory of Computing, Berkeley, for hosting them during Fall 2013, where collaboration on this work first began. The authors also thank the American Institute of Mathematics, Palo Alto, for its hospitality. This research is also supported in part by Tetali's NSF grant DMS-1101447.}
link Submit.tex:There was even a meeting at the American Institute of Mathematics in November 2005, at which one working group was devoted to exactly this problem. At the time, at least to %the author
link tangle0610v2.tex:\title{Disjoint edges in topological graphs\\ and the tangled-thrackle conjecture\thanks{Research on this paper began at the AIM workshop \emph{Exact Crossing Numbers (Palo Alto, CA, 2014)}.}}
link Bernardi.tex:at the American Insitute of Mathematics workshop ``Generalizations of chip firing and the critical group'' in July 2013, and we would like to thank AIM as well as the organizers of that conference (L. Levine, J. Martin, D. Perkinson, and J. Propp) for providing a stimulating environment. The first author was supported in part by NSF grant DMS-1201473.}
link main_single.tex:We would like to thank the AIM SQuaRE program for hosting our initial collaboration and also Mr.\ Lan for discussions around the relationship of our work to logistic regression.
link constructions-arXiv.tex:The authors thank the American Institute of Mathematics, the Universit\'e de Nantes, the Royal Academies for Science and the Arts of Belgium, and the Banff International Research Station for hosting conferences at which the authors initiated and completed the work discussed in this paper. The authors also thank Matt Hedden for his help in straightening out some references.
link GHLPRY_crossnumber.tex:This research began at the American Institute of Mathematics workshop Exact Crossing Numbers, and the authors thank AIM. The authors thank Sergey Norin for many helpful conversations during that workshop. This paper was finished while Hogben, Lidick\'y, and Young were general members in residence at the Institute for Mathematics and its Applications, and they thank IMA. The authors also thank NSF for their support of these institutes. The work of Gethner and Pfender is supported in part by their respective
link Proptime12.tex:\author{Leslie Hogben\thanks{Department of Mathematics, Iowa State University, Ames, IA 50011, USA (lhogben@iastate.edu) and American Institute of Mathematics, 360 Portage Ave, Palo Alto, CA 94306, USA (hogben@aimath.org).}, My Huynh\thanks{Department of Mathematics, Arizona State University, Tempe, AZ 85287 (mthuynh1@asu.edu). Research supported by DMS 0502354 and DMS 0750986.}, Nicole Kingsley\thanks{Department of Mathematics, Iowa State University, Ames, IA 50011, USA (nkingsle@iastate.edu).}, Sarah Meyer\thanks{Department of Mathematics, Smith College, Northampton, MA 01063, USA (smeyer@smith.edu). Research supported by DMS 0750986.}, Shanise Walker\thanks{Department of Mathematics, University of Georgia, Athens, GA 30602, USA (shanise1@uga.edu). Research supported by DMS 0502354 and DMS 0750986}, Michael Young\thanks{Department of Mathematics, Iowa State University, Ames, IA 50011, USA (myoung@iastate.edu). Research supported by DMS 0946431.}}
link 3-Ehrhart-polynomials.tex:American Institute of Mathematics, Palo Alto, in July 2009,
link DerivedSurvey9.tex:0968318 and 1160859. We are grateful to the American Institute of
link 2014_Ronellenfitsch_Needle_PRSI.tex:Turgeon R. 2006 {Phloem Loading: How Leaves Gain Their Independence}. \textit{American Institute of Biological Sciences} 56(1): 15--24.
link GRST-weak-transport-HAL.tex:\thanks{Supported by the grants ANR 2011 BS01 007 01, ANR 10 LABX-58; the last author is supported by the NSF grants DMS 1101447 and 1407657, and is also grateful for the hospitality of Universit\'e Paris Est Marne La Vall\'ee. All authors acknowledge the kind support of the American Institute of Mathematics (AIM, Palo Alto).}
link varietiesvia.tex:%\thanks{This work was supported by an AIM SQuaRE. Ameya Pitale and Ralf Schmidt are supported by National Science Foundation grant DMS 1100541.}
link file9.tex:from the American Institute of Mathematics.
link springere.tex: \institute{American Institute of Mathematics and Oklahoma State University}
link tnf.tex:NSF Grant \# DMS-0072853 and the American Institute of Mathematics.}
link elliptic.tex: American Institute of Mathematics,
link convexdecomp.tex:and the American Institute of Mathematics, where part of this paper was written.
link GET11-08.tex:{\it Acknowledgements.} The first author thanks the American Institute of
link Main.tex:A preliminary version of this paper was presented at the First Workshop on $L$-functions and Random Matrices at the American Institute of Mathematics in May, 2001. Thanks to a suggestion of Peter Sarnak during the talk, and encouragement of John Friedlander after the talk, the authors found an alternative method for proving Theorem \ref{Theorem1} which generalizes to the case of $k$-correlations. This new method has its own complications which make it very easy for mistakes to creep into the calculations. Following the conference, the first-named author visited AIM where these problems were solved jointly with Brian Conrey and David Farmer. Farmer has written a program in Mathematica to compute the constants $\mathcal{ C}_k(\mbox{\boldmath$a$})$ and has found that $\mathcal{C}_4(4) = \frac{3}{4}$, $\mathcal{C}_5(5) = \frac{11065}{2^{14}} = .67535\ldots$, and $\mathcal{C}_6(6)= \frac{11460578803}{2^{34}}= .66709\ldots$. The authors would like to thank these individuals and the American Institute of Mathematics.
link paper.tex:University and the American Institute of Mathematics during this workshop. The
link integralmoments2v.tex:Research partially supported by the American Institute of
link 0-efficient-new.tex:The Grayce B. Kerr Foundation, The American Institute of Mathematics (AIM), and The Visiting
link Kcorr1A.tex:The method we use to prove Theorem \ref{Theorem1} was suggested by Peter Sarnak during a talk given by the first-named author at the First Workshop on $L$-functions and Random Matrices at the American Institute of Mathematics in May 2001, and also suggested by John Friedlander after the talk. Following the conference, the first-named author visited AIM where the method was worked out jointly with Brian Conrey and David Farmer. Farmer has written a program in Mathematica to compute the constants $\mathcal{ C}_k$ and similar types of constants which has aided us in our work. The authors would like to thank these individuals and the American Institute of Mathematics.
link lknotsT.tex:at the American Institute of Mathematics (AIM). The authors are
link deformfinal4a.tex:the American Institute of Mathematics .
link 5-30-02.tex:authors visited the American Institute of Mathematics and Stanford University
link ArxivEtnyre.tex:Stanford University and the American Institute of Mathematics during
link e69.tex:American Institute of Mathematics conference ``Rational and integral
link 2003-25.tex:grateful to the American Institute of Mathematics at Palo Alto for
link differentiation.tex:American Institute of Mathematics\endgraf
link toepCH_SJMarx.tex:\thanks{This work was done at the American Institute for Mathematics
link coeffzeros.arxiv.tex:also supported by the American Institute of Mathematics. Jes\'us De
link rook.tex:of Minnesota. First author supported by the American Institute of
link calstein.tex:\author{Frank Calegari\footnote{Supported in part by the American Institute
link product-of-polygons.tex:American Institute of Mathematics,
link Orient08-30-04.tex:sign rules in dimension three. We also thank AIM who provided some support during a workshop where
link wa3.tex:the American Institute of Mathematics in Palo Alto.
link halfint_finished.tex:The authors are grateful to AIM and the Isaac Newton Institute for
link main_a.tex:discussions. We also thank the American Institute of Mathematics for
link lfunctions1a.tex:American Institute of Mathematics\endgraf
link elliptic_proceedings.tex:J.B. Conrey\\American Institute of Mathematics\\ 360 Portage
link snc_arxiv.tex:{J. Brian Conrey \\ American Institute of Mathematics
link families2b.tex:American Institute of Mathematics\endgraf
link main_a.tex: Our numerous meetings at Stanford University, American Institute of
link layered-triang-submit.tex:The Grayce B. Kerr Foundation, and The American Institute of
link ELMV1-submit.tex:\begin{Acknowledgements} The present paper is part of a project that began on the occasion of the AIM workshop ``Emerging applications of measure rigidity" on June 2004 in Palo Alto.
link Find_Planar-submit.tex:The Grayce B. Kerr Foundation, The American Institute of Mathematics
link triple.tex:Research of the first author supported by the American Institute
link ArxivEinsiedler.tex:Washington were supported by the American Institute of Mathematics and NSF Grant DMS-0222452.}
link lower_order_terms.tex:JPK, MOR, and NCS wish to thank AIM for providing further support and an environment
link Decomposition_PAMS_final.tex:We also thank the American Institute of Mathematics for hosting the workshop
link fixedMar13.tex:R. Speicher thank the American Institute of Mathematics for providing a very inspiring
link cfs914.tex:part by the American Institute of Mathematics.
link 2000s11.tex:The author is supported by NSF grant DMS-0072853 and the American Institute of
link cfks.tex:by the American Institute of Mathematics.
link mqcm.tex:and to Brian Conrey, the director of the American Institute of
link ratios-Uf.tex:\address{American Institute of Mathematics, Palo Alto, USA}
link R2lim2d.tex:American Institute of Mathematics and