Zobrazeno 1 - 10
of 767
pro vyhledávání: '"WADE, ANDREW"'
We study internal diffusion limited aggregation on $\mathbb{Z}$, where a cluster is grown by sequentially adding the first site outside the cluster visited by each random walk dispatched from the origin. We assume that the increment distribution $X$
Externí odkaz:
http://arxiv.org/abs/2411.10113
Autor:
Valliyakalayil, Jobin Thomas, Wade, Andrew, Rabeling, David, Zhang, Jue, Shaddock, Daniel, McKenzie, Kirk
Laser frequency noise suppression is a critical requirement for the Laser Interferometer Space Antenna (LISA) mission to detect gravitational waves. The baseline laser stabilization is achieved using cavity pre-stabilization and a post-processing tec
Externí odkaz:
http://arxiv.org/abs/2406.02261
We study semi-infinite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to each particle, subject to an exclusion interaction which suppre
Externí odkaz:
http://arxiv.org/abs/2405.05246
We prove anomalous-diffusion scaling for a one-dimensional stochastic kinetic dynamics, in which the stochastic drift is driven by an exogenous Bessel noise, and also includes endogenous volatility which is permitted to have arbitrary dependence with
Externí odkaz:
http://arxiv.org/abs/2401.11863
Publikováno v:
Stochastic Processes and their Applications, Vol. 176 (2024), article 104420
We quantify superdiffusive transience for a two-dimensional random walk in which the vertical coordinate is a martingale and the horizontal coordinate has a positive drift that is a polynomial function of the individual coordinates and of the present
Externí odkaz:
http://arxiv.org/abs/2401.07813
Publikováno v:
Transactions of the American Mathematical Society, Vol. 377 (2024), no. 9, p. 6695-6724
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 drift. Analogous results in the case of zero drift, where the scaling is
Externí odkaz:
http://arxiv.org/abs/2307.10027
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 two boundaries, and hence essentially specified by finitely-many transit
Externí odkaz:
http://arxiv.org/abs/2307.07458
Autor:
Wade, Andrew, Grinfeld, Michael
Publikováno v:
Journal of Statistical Physics, Vol. 190 (2023), article 155
We study an energy-constrained random walker on a length-$N$ interval of the one-dimensional integer lattice, with boundary reflection. The walker consumes one unit of energy for every step taken in the interior, and energy is replenished up to a cap
Externí odkaz:
http://arxiv.org/abs/2306.17662
We quantify the asymptotic behaviour of multidimensional drifltess diffusions in domains unbounded in a single direction, with asymptotically normal reflections from the boundary. We identify the critical growth/contraction rates of the domain that s
Externí odkaz:
http://arxiv.org/abs/2303.06916
The development of low-level mesocyclones in supercell thunderstorms has often been explained via the development of storm-generated streamwise vorticity along a baroclinic gradient in the forward flank of supercells. However, the ambient streamwise
Externí odkaz:
http://arxiv.org/abs/2210.03715