Time-time Covariance for Last Passage Percolation with Generic Initial Profile
نویسندگان
چکیده
منابع مشابه
Last Branching in Directed Last Passage Percolation
The 1+1 dimensional directed polymers in a Poissonean random environment is studied. For two polymers of maximal length with the same origin and distinct end points we establish that the point of last branching is governed by the exponent for the transversal fluctuations of a single polymer. We also investigate the density of branches.
متن کاملDirected last passage percolation with discontinuous weights
We prove that a directed last passage percolation model with discontinuous macroscopic (non-random) inhomogeneities has a continuum limit that corresponds to solving a Hamilton-Jacobi equation in the viscosity sense. This Hamilton-Jacobi equation is closely related to the conservation law for the hydrodynamic limit of the totally asymmetric simple exclusion process. We also prove convergence of...
متن کاملRiemann-Hilbert problems for last passage percolation
Last three years have seen new developments in the theory of last passage percolation, which has variety applications to random permutations, random growth and random vicious walks. It turns out that a few class of models have determinant formulas for the probability distribution, which can be analyzed asymptotically. One of the tools for the asymptotic analysis has been the Riemann-Hilbert met...
متن کاملSublinear variance for directed last-passage percolation
A range of first-passage percolation type models are believed to demonstrate the related properties of sublinear variance and superdiffusivity. We show that directed last-passage percolation with Gaussian vertex weights has a sublinear variance property. We also consider other vertex weight distributions. Corresponding results are obtained for the ground state of the ‘directed polymers in a ran...
متن کاملLast Passage Percolation and Traveling Waves
We consider a system of N particles with a stochastic dynamics introduced by Brunet and Derrida [5]. The particles can be interpreted as last passage times in directed percolation on {1, . . . , N} of mean-field type. The particles remain grouped and move like a traveling wave, subject to discretization and driven by a random noise. As N increases, we obtain estimates for the speed of the front...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Physics, Analysis and Geometry
سال: 2019
ISSN: 1385-0172,1572-9656
DOI: 10.1007/s11040-018-9300-6