DOI10.1214/ECP.v7-1042zbMath1037.15019OpenAlexW2075303759WikidataQ104455069 ScholiaQ104455069MaRDI QIDQ1860576
Neil O'Connell, Marc Yor
Publication date: 25 February 2003
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/123505
Random walks in $(\mathbb{Z}_{+})^{2}$ with non-zero drift absorbed at the axes,
Invariance of polymer partition functions under the geometric RSK correspondence,
Discrete integrable systems and Pitman's transformation,
The ASEP and determinantal point processes,
RSK in last passage percolation: a unified approach,
Half-space stationary Kardar–Parisi–Zhang equation beyond the Brownian case,
KPZ line ensemble,
On global fluctuations for non-colliding processes,
Non-normal limiting distribution for optimal alignment scores of strings in binary alphabets,
Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation,
Optimal tail exponents in general last passage percolation via bootstrapping \& geodesic geometry,
Last passage isometries for the directed landscape,
Modulus of continuity of polymer weight profiles in Brownian last passage percolation,
Connecting eigenvalue rigidity with polymer geometry: diffusive transversal fluctuations under large deviation,
Integrable fluctuations in the KPZ universality class,
The stationary horizon and semi-infinite geodesics in the directed landscape,
Directed polymers and the quantum Toda lattice,
Exact solution of interacting particle systems related to random matrices,
Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness,
Stationary measures for the log-gamma polymer and KPZ equation in half-space,
Limit theorems for a random directed slab graph,
Tightness of discrete Gibbsian line ensembles with exponential interaction Hamiltonians,
Uniform convergence to the Airy line ensemble,
Busemann process and semi-infinite geodesics in Brownian last-passage percolation,
The geometry of near ground states in Gaussian polymer models,
Exponential functionals of Brownian motion and class-one Whittaker functions,
Point-to-line last passage percolation and the invariant measure of a system of reflecting Brownian motions,
On the singular values of complex matrix Brownian motion with a matrix drift,
Unnamed Item,
Tropical combinatorics and Whittaker functions,
Geometric RSK and the Toda lattice,
Fractal geometry of \(\text{Airy}_2\) processes coupled via the Airy sheet,
Random matrix central limit theorems for nonintersecting random walks,
Interlaced processes on the circle,
A path-transformation for random walks and the Robinson-Schensted correspondence,
Hammersley's process with sources and sinks,
Large deviations for sticky Brownian motions,
Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition,
Lower deviations in \(\beta \)-ensembles and law of iterated logarithm in last passage percolation,
A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION,
Queues, stores, and tableaux,
Upper tail large deviations in Brownian directed percolation,
Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape,
YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS,
Intertwinings for general \(\beta\)-Laguerre and \(\beta\)-Jacobi processes,
Laplace's method for iterated complex Brownian integrals,
Concentration results for a Brownian directed percolation problem.,
Jeu de taquin dynamics on infinite Young tableaux and second class particles,
Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings,
Littelmann paths and Brownian paths,
A stationary model of non-intersecting directed polymers