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Consider N Brownian bridges B_i:[-N,N] -> R, B_i(-N) = B_i(N) = 0, 1 <= i <= N, conditioned not to intersect.
Coincidence probability
S. Karlin, J. McGregor · 1959
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A Brownian-motion model for the eigenvalues of a random matrix
F. J. Dyson · 1962
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Convergence of probability measures
P. Billingsley · 1968
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Soluble model for fibrous structures with steric constraints
P. G. de Gennes · 1968
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Stochastic Integrals
H.P. McKean · 1969
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Path decomposition and continuity of local time for one dimensional diffusions I
D. Williams · 1974
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Large-distance and long-time properties of a randomly stirred fluid
D. Forster, D.R. Nelson, M.J. Stephen · 1977
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Walks, walls, wetting, and melting
M. E. Fisher · 1984
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Commensurate melting, domain walls, and dislocations
D. A. Huse, M. E. Fisher · 1984
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Pinning and roughening of domain walls in Ising systems due to random impurities
D. Huse, C. Henley · 1985
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Dynamic scaling of growing interfaces
K. Kardar, G. Parisi, Y.Z. Zhang · 1986
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Brownian Motion and Stochastic Calculus
I. Karatzas, S. E. Shreve · 1988
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D.S. Fisher, D.A. Huse · 1991
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Level-spacing distributions and the Airy kernel
C. Tracy and H. Widom · 1994
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Vicious walkers and directed polymer networks in general dimensions
J. W. Essam, A. J. Guttmann · 1995
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Kinetic roughening, stochastic growth, directed polymers all that
T. Halpin-Healy, Y. C. Zhang · 1995
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Decomposition at the maximum for exclusions and bridges of one-dimensional diffusions
J. Pitman, M. Yor · 1996
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Vicious walkers and Young tableaux I: without walls
A. J. Guttmann, A. L. Owczarek, X. G. Viennot · 1998
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On the distribution of the length of the longest increasing subsequence of random permutations
J. Baik, P.A. Deift, K. Johansson · 1999
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Brownian motion in a Weyl chamber, non-colliding particles, and random matrices
D. Grabiner · 1999
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Shape fluctuations and random matrices
K. Johansson · 2000
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On Dobrushin’s way: from probability theory to statistical physics
R. A. Minlos, S. Shlosman, Yu. M. Suhov · 2000
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Determinantal random point fields
A. Soshnikov · 2000
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A variational principle for domino tilings
H. Cohn, R. Kenyon, J. Propp · 2001
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Non-intersecting paths, random tilings and random matrices
K. Johansson · 2002
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Vicious random walkers and a discretization of Gaussian random matrix ensembles
T. Nagao, P. J. Forrester · 2002
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Scale invariance of the PNG droplet and the Airy process
M. Prähofer, H. Spohn · 2002
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Discrete polynuclear growth and determinantal processes
K. Johansson · 2003
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Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
A. Okounkov, N. Reshetikhin · 2003
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The height and range of watermelons without wall
T. Feierl · 2009
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C. Nadal, S. N. Majumdar · 2009
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Contour lines of the two-dimensional discrete Gaussian free field
O. Schramm, S. Sheffield · 2009
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Airy processes with wanderers and new universality classes
M. Adler, P.L. Ferrari, P. van Moerbeke · 2010
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The intermediate disorder regime for directed polymers in dimension 1 + 1 1+1
T. Alberts, K. Khanin, J. Quastel · 2010
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Limit process of stationary TASEP near the characteristic line
J. Baik, P.L. Ferrari, S. Péché · 2010
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Brownian motion, Chern-Simons theory, and 2D Yang-Mills
S. de Haroa, M .Tierz · 2004
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Fluctuations of the one-dimensional polynuclear growth model with external sources
T. Imamura, T. Sasamoto · 2004
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On asymptotics of the Airy process
H. Widom · 2004
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PDEs for the joint distributions of the Dyson, Airy and sine processes
M. Adler, P. van Moerbeke · 2005
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Random matrices and determinantal processes
K. Johansson · 2005
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Trace Ideals and their applications
B. Simon · 2005
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Gibbs ensembles of nonintersecting paths
A. Borodin, S. Shloshman · 2010
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Limit processes for TASEP with shocks and rarefaction fans
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Probability: theory and examples
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Extremal statistics of curved growing interfaces in 1+1 dimensions
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One-dimensional KPZ equation: an exact solution and its universality
T. Sasamoto, H. Spohn · 2010
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Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 1+1 dimensions
G. Amir, I. Corwin, J. Quastel · 2011
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Limits of determinantal processes near a tacnode
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Non-intersecting Brownian walkers and Yang-Mills theory on the sphere
P. J. Forrester, S. N. Majumdar, G. Schehr · 2011
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Noncolliding squared Bessel processes
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Distribution of the time at which N N vicious walkers reach their maximal height
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Asymptotics for the covariance of the Airy 2 \textrm{Airy}_{2} process
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On the joint distribution of the maximum and its position of the Airy2 process minus a parabola
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Nonintersecting Brownian excursions on the half-line and discrete Gaussian orthogonal polynomials
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Extremes of N N vicious walkers for large N N : application to the directed polymer and KPZ interfaces
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Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary
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