Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation

DOI10.1090/memo/1363zbMath1506.82002arXiv1609.02971OpenAlexW2755126818MaRDI QIDQ5097132

Alan Hammond

Publication date: 19 August 2022

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02971

zbMATH Keywords

Airy line ensembleBrownian last passage percolationeigenvalue deviation boundsmulti-line Airy processpolymer weight and geometry

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Brownian motion (60J65) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Eigenvalues, singular values, and eigenvectors (15A18) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Exactly solvable models; Bethe ansatz (82B23) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Percolation (82B43) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random matrices (algebraic aspects) (15B52) PDEs with randomness, stochastic partial differential equations (35R60) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) PDEs in connection with statistical mechanics (35Q82)

Related Items

Modulus of continuity for polymer fluctuations and weight profiles in Poissonian last passage percolation, Last passage isometries for the directed landscape, Connecting eigenvalue rigidity with polymer geometry: diffusive transversal fluctuations under large deviation, The Bessel line ensemble, The lower tail of \(q\)-pushTASEP, Spatial tightness at the edge of Gibbsian line ensembles, Local and global comparisons of the Airy difference profile to Brownian local time, Busemann process and semi-infinite geodesics in Brownian last-passage percolation, The geometry of near ground states in Gaussian polymer models, Non-uniqueness times for the maximizer of the KPZ fixed point, A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION, Nonexistence of bigeodesics in planar exponential last passage percolation, Coalescence of geodesics in exactly solvable models of last passage percolation, Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape, Three-halves variation of geodesics in the directed landscape

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