5 papers
A cohesive account on the ergodic behaviours and scaling limits of Random Walks in Cooling Random Environments
Luca Avena, Conrado da Costa
Transport in disordered media is a central theme in probability and statistical physics, where randomness in the underlying medium produces phenomena such as localization, anomalou…
Long-range one-dimensional internal diffusion-limited aggregation
Conrado da Costa, Debleena Thacker, Andrew Wade
We study internal diffusion limited aggregation on , where a cluster is grown incrementally by adding, for each random walk dispatched from the origin, the first site i…
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…
Limiting distributions for RWCRE in the sub-ballistic regime and in the critical Gaussian regime
Conrado da Costa, Jonathon Peterson, Yongjia Xie
Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in dynamic random environments where the environment is frozen between a fixed sequence of times (cal…
Superdiffusive limits for Bessel-driven stochastic kinetics
Miha BreÅ¡ar, Conrado da Costa, Aleksandar MijatoviÄ +1
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 endo…