17 citations · 27 across the 4 of their papers we have counts for
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Multi-target search in bounded and heterogeneous environments: a lattice random walk perspective
Luca Giuggioli, Seeralan Sarvaharman, Debraj Das +2
For more than a century lattice random walks have been employed ubiquitously, both as a theoretical laboratory to develop intuition about more complex stochastic processes and as a…
Exact Spatio-Temporal Dynamics of Lattice Random Walks in Hexagonal and Honeycomb Domains
Daniel Marris, Seeralan Sarvaharman, Luca Giuggioli
A variety of transport processes in natural and man-made systems are intrinsically random. To model their stochasticity, lattice random walks have been employed for a long time, ma…
Particle-Environment Interactions In Arbitrary Dimensions: A Unifying Analytic Framework To Model Diffusion With Inert Spatial Heterogeneities
Seeralan Sarvaharman, Luca Giuggioli
Abridged abstract: Inert interactions between randomly moving entities and spatial disorder play a crucial role in quantifying the diffusive properties of a system. These interacti…
Closed-form solutions to the dynamics of confined biased lattice random walks in arbitrary dimensions
Seeralan Sarvaharman, Luca Giuggioli
Biased lattice random walks (BLRW) are used to model random motion with drift in a variety of empirical situations in engineering and natural systems such as phototaxis, chemotaxis…