4 papers · 1 filter
Iterated-logarithm laws for convex hulls of random walks with drift
Wojciech Cygan, Nikola Sandrić, Stjepan Šebek +1
We establish laws of the iterated logarithm for intrinsic volumes of the convex hull of many-step, multidimensional random walks whose increments have two moments and a non-zero dr…
Passage-times for partially-homogeneous reflected random walks on the quadrant
Conrado da Costa, Mikhail Menshikov, Andrew Wade
We consider a random walk on the first quadrant of the square lattice, whose increment law is, roughly speaking, homogeneous along a finite number of half-lines near each of the tw…
Energy-constrained random walk with boundary replenishment
Andrew Wade, Michael Grinfeld
We study an energy-constrained random walker on a length- interval of the one-dimensional integer lattice, with boundary reflection. The walker consumes one unit of energy for e…
Brownian motion with asymptotically normal reflection in unbounded domains: from transience to stability
Miha Brešar, Aleksandar Mijatović, Andrew Wade
We quantify the asymptotic behaviour of multidimensional drifltess diffusions in domains unbounded in a single direction, with asymptotically normal reflections from the boundary.…