A local limit theorem for random walks conditioned to stay positive
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Publication:2575677
DOI10.1007/s00440-005-0444-5zbMath1080.60045arXivmath/0406182OpenAlexW3098416427MaRDI QIDQ2575677
Publication date: 6 December 2005
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0406182
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Renewal theory (60K05)
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Conditioned limit theorems for products of random matrices ⋮ Positive random walks and an identity for half-space SPDEs ⋮ Limit theorems for affine Markov walks conditioned to stay positive ⋮ Scaling Limit of the Path Leading to the Leftmost Particle in a Branching Random Walk ⋮ Limit theorems for Markov walks conditioned to stay positive under a spectral gap assumption ⋮ One dimensional random walks killed on a finite set ⋮ Subcritical percolation with a line of defects ⋮ Convergence in law of the minimum of a branching random walk ⋮ Conditioned limit theorems for hyperbolic dynamical systems ⋮ First order transition for the branching random walk at the critical parameter ⋮ Simple random walk on \(\mathbb{Z}^2\) perturbed on the axes (renewal case) ⋮ Weak convergence for the minimal position in a branching random walk: a simple proof ⋮ On the maximum of conditioned random walks and tightness for pinning models ⋮ Local probabilities for random walks conditioned to stay positive ⋮ One dimensional lattice random walks with absorption at a point/on a half line ⋮ Survival of branching random walks with absorption ⋮ Invariance principles for random walks conditioned to stay positive ⋮ Conditioned local limit theorems for random walks defined on finite Markov chains ⋮ Local fluctuations of critical Mandelbrot cascades ⋮ Local equilibrium of particle density in planar Lorentz processes ⋮ Random walks in cones ⋮ The symplectic geometry of closed equilateral random walks in 3-space
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