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@article{CometsGantertZeitouni,
Author = {Comets, F. and Gantert, N. and Zeitouni, O.},
Title = {Quenched, Annealed and Functional Large Deviations for One-Dimensional Random Walk in Random Environment.},
Journal={Probab. Theory Relat. Fields},
Volume = {118},
Pages={65-114},
Year={2000}}
@article{GeorgSepp,
Author = {Georgiou, N. and Sepp{\"a}l{\"a}inen, T.},
Journal = {Ann. Probab.},
Number = {6},
Pages = {4248-4286},
Title = {Large deviation rate functions for the partition function in a log-gamma distributed random potential.},
Volume = {41},
Year = {2013}}
@article{Seppalainen4,
Author = {Sepp{\"a}l{\"a}inen, T.},
Journal = {Probab. Theory Relat. Fields},
Number = {2},
Pages = {221-244},
Title = {Large deviations for increasing sequences on the plane.},
Volume = {112},
Year = {1998}}
@misc{Seppalainen,
Author = {Sepp{\"a}l{\"a}inen, T.},
Howpublished = {\url{http://www.math.wisc.edu/~seppalai/cornergrowth-book/ajo.pdf}},
Title = {Lecture Notes on the Corner Growth Model},
Year = {2009}}
@article{Seppalainen2,
Author = {Sepp{\"a}l{\"a}inen, T.},
Journal = {Markov Process. Relat. Fields},
Number = {1},
Pages = {1-26},
Title = {Hydrodynamic Scaling, Convex Duality and Asymptotic Shapes of Growth Models},
Volume = {4},
Year = {1998}}
@article{Seppalainen3,
Author = {Sepp{\"a}l{\"a}inen, T.},
Journal = {Markov Process. Relat. Fields},
Number = {4},
Pages = {593-628},
Title = {Coupling the Totally Asymmetric Simple Exclusion Process with a Moving Interface},
Volume = {4},
Year = {1998}}
@article{Spohn1,
Author = {Spohn, H.},
Eprint = {ar{X}iv:1404.7786v2},
Title = {KPZ Scaling Theory and the Semi-discrete
Directed Polymer Model},
Year = {2012}}
@article{GeorSeppRass,
Author = {Georgiou, N. and Rassoul-Agha, F. and Sepp{\"a}l{\"a}inen, T.},
Eprint = {ar{X}iv:1404.7786v2},
Title = {Stationary Cocycles for the Corner Growth Model},
Year = {2014}}
@article{CohnElkiesPropp,
Author = {Cohn, H. and Elkies, N. and Propp, J.},
Journal = {Duke Math. J.},
Number = {1},
Pages = {117-166},
Title = {Local Statistics for Random Domino Tilings of the {A}ztec Diamond},
Volume = {85},
Year = {1996}}
@article{JockuschProppShor,
Author = {Josckusch, W. and Propp, J. and Shor, P.},
Eprint = {ar{X}iv:math/9801068v1},
Title = {Random Domino Tilings and the Arctic Circle Theorem},
Year = {1998}}
@article{KrugSepp,
Author = {Sepp{\"a}l{\"a}inen, T. and Krug, J.},
Journal = {J. Stat. Phys.},
Pages = {525-567},
Title = {Hydrodynamics and Platoon Formation for a Totally Asymmetric Exclusion Model with Particlewise Disorder},
Volume = {95},
Year = {1999}}
@article{Calder,
Author = {Calder, J.},
Eprint = {ar{X}iv:1402.3381v2},
Title = {Directed Last Passage Percolation with Discontinuous Weights},
Year = {2014}}
@article{Liggett,
Author = {Liggett, T. M.},
Journal = {Ann. Probab.},
Number = {4},
Pages = {1279-1285},
Title = {An Improved Subadditive Ergodic Theorem},
Volume = {13},
Year = {1985}}
@article{Rost,
Author = {Rost, H.},
Journal = {Z. Wahrsch. Verw. Gebiete},
Pages = {41-53},
Title = {Nonequilibrium Behavior of a Many Particle Process: Density Profile and Local Equilibria},
Volume = {58},
Year = {1981}}
@article{Balasz,
Author = {B\'{a}lasz, M. and Cator, E. and Sepp{\"a}l{\"a}inen, T.},
Journal = {Electron. J. Probab.},
Pages = {1094-1132},
Title = {Cube Root Fluctuations for the Corner Growth Model Associated to the Exclusion Process},
Volume = {11},
Year = {2006}}
@article{Martin2,
Author = {Martin, J. B.},
Journal = {Ann. Probab.},
Number = {4},
Pages = {2908-2937},
Title = {Limiting Shape for Directed Percolation Models},
Volume = {32},
Year = {2004}}
@article{Muth,
Author = {Muth, E. J.},
Journal = {Manage. Sci.},
Pages = {152-158},
Title = {The Reversibility Property of Production Lines},
Volume = {25},
Year = {1979}}
@article{Lin,
Author = {Lin, H. and Sepp{\"a}l{\"a}inen, T.},
Journal = {Stoch. Proc. Appl.},
Number = {2},
Pages = {498-521},
Title = {Properties of the Limit Shape for Some Last-Passage Growth Models in Random Environments},
Volume = {122},
Year = {2012}}
@misc{Martin,
Author = {Martin, J. B.},
Howpublished = {\url{www.stats.ox.ac.uk/~martin/papers/lppsurvey2.ps}},
Title = {Last-passage Percolation with General Weight Distribution},
Year = {2005}}
@book{Shaked,
Author = {Moshe Shaked and J. George Shantikumar},
Publisher = {Springer},
Title = {Stochastic Orders},
Year = {2007}}
@book{Rudin,
Author = {Walter Rudin},
Edition = {Third},
Publisher = {McGraw-Hill, Inc},
Title = {Real and Complex Analysis},
Year = {1987}}
@book{Kallenberg,
Author = {Olav Kallenberg},
Publisher = {Springer},
Title = {Foundations of Modern Probability},
Year = {1997}}
@book{Stein,
Author = {Elias M.Stein and Rami Shakarchi},
Publisher = {Princeton University Press},
Title = {Complex Analysis},
Year = {2003}}
@article{Johansson,
Author = {Kurt Johansson},
Journal = {Communications in Mathematical Physics},
Pages = {437-476},
Title = {Shape Fluctuations and Random Matrices},
Year = {2000}}
@incollection{Johansson2,
Author = {Johansson, K.},
Booktitle = {European Congress of Mathematics},
Editor = {Casacuberta, C. and Mir{\'o}-Roig R.M and Verdera, J. and Xamb{\'o}-Descamps S.},
Pages = {445-456},
Publisher = {Springer},
Title = {Random Growth and Random Matrices},
Year = {2001}}
@article{Johansson3,
Author = {Kurt Johansson},
Eprint = {ar{X}iv:math-ph/0510038},
Title = {Random Matrices and Determinantal Processes},
Year = {2005}}
@article{Borodin,
Author = {Alexei Borodin and Vadim Gorin},
Eprint = {ar{X}iv:1212.3351},
Title = {Lectures on Integrable Probability},
Year = {2012}}
@article{Borodin2,
Author = {Alexei Borodin},
Eprint = {ar{X}iv:0911.1153},
Title = {Determinantal Point Processes},
Year = {2009}}
@book{deBruijn,
Author = {Nicolaas Govert de Bruijn},
Edition = {Second},
Publisher = {Courier Dover Publications},
Title = {Asymptotic Methods in Analysis},
Year = {1970}}
@book{Olver,
Editor = {Frank W.J. Oliver and Daniel W. Lozier and Ronald F. Boisvert and Charles W. Clark},
Publisher = {Cambridge University Press},
Title = {{NIST} Handbook of Mathematical Functions},
Year = {2010}}
@book{Lax,
Author = {Peter D. Lax},
Publisher = {Wiley Interscience},
Title = {Functional Analysis},
Year = {2002}}
@book{Deift,
Author = {Percy Deift and Dimitri Gioev},
Publisher = {American Mathematical Society and Courant Institute of Mathematical Sciences},
Title = {Random Matrix Theory: Invariant Ensembles and Universality},
Year = {2009}}
@book{Stanley,
Author = {Richard P. Stanley},
Publisher = {Cambridge University Press},
Title = {Enumerative Combinatorics},
Year = {2001}}
@article{Okounkov,
Author = {Andrei Okounkov},
Journal = {Selecta Mathematica (new series)},
Pages = {9907127},
Title = {Infinite Wedge and Random Partitions}}
@article{Corwin,
Author = {Iwan Corwin},
Journal = {Random matrices: theory and applications},
Volume = {1},
Issue = {1},
Title = {The {K}ardar-{P}arisi-{Z}hang Equation and Universality Class},
Year = {2011}}
@article{Tracy-Widom,
Author = {Craig Tracy and Harold Widom},
Journal = {Communications in Mathematical Physics},
Pages = {151-174},
Title = {Level-Spacing Distributions and the {A}iry Kernel},
Volume = {159},
Year = {1994}}
@book{DemboZeitouni,
Author = {Amir Dembo and Ofer Zeitouni},
Edition = {Second},
Publisher = {Springer},
Title = {Large Deviations Techniques and Applications},
Year = {1998}}
@book{Rockafellar,
Author = {R. Tyrrell Rockafellar},
Publisher = {Princeton University Press},
Series={Princeton Mathematical Series},
Volume={28},
Title = {Convex Analysis},
Year = {1970}}
@book{Rassoul-AghaSeppalainen,
Author = {Firas Rassoul-Agha and Timo Sepp{\"a}l{\"a}inen},
Publisher = {American Mathematics Society},
Series={Graduate Studes in Mathematics},
Volume={162},
Title = {A Course on Large Deviations with an Introduction to Gibbs Measures},
Year = {2015}}
@article{Emrah,
Author = {Elnur Emrah},
Eprint = {ar{X}iv:1502.06986},
Title = {The Shape Functions of Certain Exactly Solvable Inhomogeneous Planar Corner Growth Models},
Year = {2015}}
@article{Janjigian,
Author = {Chris Janjigian},
Journal ={J. Stat. Phys.},
Title = {Large Deviations of the Free Energy in the {O}'{C}onnell-{Y}or Polymer},
Year = {2015},
Volume={160},
Number={4},
Pages={1054-1080}
}
@book{boucheron2013concentration,
title={Concentration inequalities: A nonasymptotic theory of independence},
author={Boucheron, St{\'e}phane and Lugosi, G{\'a}bor and Massart, Pascal},
year={2013},
publisher={OUP Oxford}
}
@article{Nicholas2012,
title = {Notes on Talagrand's inequalities. {\rm Lecture notes available
at }\\ {\tt http://www.math.ucla.edu/~nickcook/talagrand.pdf}},
author = {Cook, Nicholas},
notes = {Lecture notes available at {\tt http://www.math.ucla.edu/~nickcook/talagrand.pdf}
}
@misc{bernickl,
author = {Nathanael Berestycki and Richard Nickl},
title = {Concentration of Measure},
month= {December},
year = {2009},
note={\\http://www.statslab.cam.ac.uk/$\sim$beresty/teach/cm10.pdf}
}
@misc{naor,
author = {Assaf Naor},
title = {Concentration of Measure},
month= {December},
year= {2008},
note={\\https://web.math.princeton.edu/$\sim$~naor/homepage\%20files/Concentration\%20of\%20Measure.pdf}
}
@misc{lugosi,
author = {Gabor Lugosi},
title = {Concentration-of-Measure Inequalities},
month = {February},
year = {2006},
note={\\https://web.math.princeton.edu/$\sim$~naor/homepage\%20files/Concentration\%20of\%20Measure.pdf}
}
@book{Tao,
Author = {Terence Tao},
Publisher = {American Mathematics Society},
Series = {Graduate Studes in Mathematics},
Title = {Topics in Random Matrix Theory},
Volume = {132},
Year = {2012}}
@article{Jun,
Author = {Antti Knowles and Jun Yin},
Journal = {arXiv:1410.3516},
Title = {Anisotropic local laws for random matrices},
Year = {2015}}}
@book{J10,
AUTHOR={Monique Jeanblanc},
TITLE={Enlargements of Filtrations.}
PUBLISHER = {Unpublished lecture notes},
URL = {https://www.minet.uni-jena.de/Marie-CurieITN/EoF/talks/jeanblanc\_introduction.pdf}}
@book {MY06,
AUTHOR = {Mansuy, Roger and Yor, Marc},
TITLE = {Random times and enlargements of filtrations in a {B}rownian
setting},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1873},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2006},
PAGES = {xiv+158},
ISBN = {978-3-540-29407-8; 3-540-29407-4}}
@article {MY01,
AUTHOR = {Matsumoto, Hiroyuki and Yor, Marc},
TITLE = {A relationship between {B}rownian motions with opposite drifts
via certain enlargements of the {B}rownian filtration},
JOURNAL = {Osaka J. Math.},
FJOURNAL = {Osaka Journal of Mathematics},
VOLUME = {38},
YEAR = {2001},
NUMBER = {2},
PAGES = {383--398},
ISSN = {0030-6126},
URL = {http://projecteuclid.org.ezproxy.library.wisc.edu/euclid.ojm/1153492472}}
@article {OY01,
AUTHOR = {O'Connell, Neil and Yor, Marc},
TITLE = {Brownian analogues of {B}urke's theorem},
JOURNAL = {Stochastic Process. Appl.},
FJOURNAL = {Stochastic Processes and their Applications},
VOLUME = {96},
YEAR = {2001},
NUMBER = {2},
PAGES = {285--304},
ISSN = {0304-4149},
CODEN = {STOPB7},
DOI = {10.1016/S0304-4149(01)00119-3},
URL = {http://dx.doi.org.ezproxy.library.wisc.edu/10.1016/S0304-4149(01)00119-3}}