50 Years of First-Passage Percolation
From MaRDI portal
Publication:3130565
DOI10.1090/ulect/068zbMath1452.60002arXiv1511.03262OpenAlexW2962959847MaRDI QIDQ3130565
Jack Hanson, Michael Damron, Antonio Auffinger
Publication date: 23 January 2018
Published in: University Lecture Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.03262
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
Related Items
Covering monotonicity of the limit shapes of first passage percolation on crystal lattices, Particle density in diffusion-limited annihilating systems, Models of random subtrees of a graph, The winner takes it all but one, Chase–escape in dynamic device-to-device networks, Maximal edge-traversal time in first-passage percolation, Note on the maximal jump size in a continuum model of directed first passage percolation, Divergence of non-random fluctuation for Euclidean first-passage percolation, The size of the boundary in first-passage percolation, Balancing Geometry and Density: Path Distances on High-Dimensional Data, Boolean functions: influence, threshold and noise, THE NEAREST UNVISITED VERTEX WALK ON RANDOM GRAPHS, Local neighbourhoods for first-passage percolation on the configuration model, On the asymptotics for the minimal distance between extreme vertices in a generalised Barak-Erdős graph, Non-universality for first passage percolation on the exponential of log-correlated Gaussian fields, Intrinsic isoperimetry of the giant component of supercritical bond percolation in dimension two, First passage percolation on hyperbolic groups, Divergence of shape fluctuation for general distributions in first-passage percolation, Lower bounds for fluctuations in first-passage percolation for general distributions, Coexistence in chase-escape, Rigidity of some abelian-by-cyclic solvable group actions on \({\mathbb{T}}^N\), Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperatures, Optimal tail exponents in general last passage percolation via bootstrapping \& geodesic geometry, Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups, Geodesic length and shifted weights in first-passage percolation, Effective Fronts of Polygon Shapes in Two Dimensions, Probabilistic analysis of optimization problems on sparse random shortest path metrics, Heat kernels, stochastic processes and functional inequalities. Abstracts from the workshop held October 30 -- November 5, 2022, A variational formula for large deviations in first-passage percolation under tail estimates, Comparison of limit shapes for Bernoulli first-passage percolation, The stationary horizon and semi-infinite geodesics in the directed landscape, The lower tail of \(q\)-pushTASEP, Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation, Measure-valued growth processes in continuous space and growth properties starting from an infinite interface, Quantum Talagrand, KKL and Friedgut's theorems and the learnability of quantum Boolean functions, Improved upper bounds on the asymptotic growth velocity of Eden clusters, Subadditive theorems in time-dependent environments, On the random G equation with nonzero divergence, Limiting shape for first-passage percolation models on random geometric graphs, The chemical distance in random interlacements in the low-intensity regime, Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique, Geometry of geodesics through Busemann measures in directed last-passage percolation, Limit of the Wulff crystal when approaching criticality for isoperimetry in 2D percolation, Geodesics in first-passage percolation cross any pattern, Topology and local geometry of the Eden model, Transitions for exceptional times in dynamical first-passage percolation, Critical percolation and \(\mathrm{A + B \rightarrow 2A}\) dynamics, On Minimizers and Critical Points for Anisotropic Isoperimetric Problems, Weakly mixing smooth planar vector field without asymptotic directions, Unnamed Item, Non-existence of bi-infinite geodesics in the exponential corner growth model, On properties of optimal paths in first-passage percolation. On properties of optimal paths in first-passage percolation, on propertie of optimal paths, Superlinearity of Geodesic Length in 2D Critical First-Passage Percolation, Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman, Stochastic homogenization for reaction-diffusion equations, Tertiles and the time constant, The String of Diamonds Is Tight for Rumor Spreading, Existence and coexistence in first-passage percolation, Geodesic rays and exponents in ergodic planar first passage percolation, Non-optimality of invaded geodesics in 2d critical first-passage percolation, Bigeodesics in first-passage percolation, Zero temperature limit for directed polymers and inviscid limit for stationary solutions of stochastic Burgers equation, Existence and continuity of the flow constant in first passage percolation, Eigenvalue versus perimeter in a shape theorem for self-interacting random walks, Critical first-passage percolation starting on the boundary, Fluctuation lower bounds in planar random growth models, A shape theorem for the Orthant model, Liouville metric of star-scale invariant fields: tails and Weyl scaling, Flats, spikes and crevices: the evolving shape of the inhomogeneous corner growth model, Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes, Speeding up non-Markovian first-passage percolation with a few extra edges, Harry Kesten's work in probability theory, Shapes of drums with lowest base frequency under non-isotropic perimeter constraints, Chase-escape with death on trees, First passage percolation on sparse random graphs with boundary weights, Percolation and first-passage percolation on oriented graphs, Chase-escape percolation on the 2D square lattice, Shape theorem and surface fluctuation for Poisson cylinders, Nonexistence of bigeodesics in planar exponential last passage percolation, Transversal fluctuations for a first passage percolation model, The asymptotic shape theorem for the frog model on finitely generated abelian groups, Non-existence of bi-infinite polymers, Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape, The string of diamonds is nearly tight for rumour spreading, Coexistence of competing first passage percolation on hyperbolic graphs, Random growth models: Shape and convergence rate, Infinite geodesics, asymptotic directions, and Busemann functions in first-passage percolation, Fluctuations in first-passage percolation, Multi-particle diffusion limited aggregation, A general method for lower bounds on fluctuations of random variables, Results on the contact process with dynamic edges or under renewals, Infinite paths on a random environment of \({\mathbb{Z}}^2\) with bounded and recurrent sums, Continuity of the time constant in a continuous model of first passage percolation, The time constant for Bernoulli percolation is Lipschitz continuous strictly above \(p_c\), Divergence of non-random fluctuation in first passage percolation, Asymptotics for 2D critical and near-critical first-passage percolation, Doubly stochastic Yule cascades. I: The explosion problem in the time-reversible case, Absence of backward infinite paths for first-passage percolation in arbitrary dimension, On a front evolution problem for the multidimensional East model, Distance evolutions in growing preferential attachment graphs, Coexistence in competing first passage percolation with conversion, First-order behavior of the time constant in Bernoulli first-passage percolation, Strongly mixing smooth planar vector field without asymptotic directions, Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions
