Devices and methods for increasing the speed and efficiency at which a computer is capable of modeling a plurality of random walkers using a density method

A method for increasing a speed or energy efficiency at which a computer is capable of modeling a plurality of random walkers, the method comprising:

• defining, using a processor, a virtual space in which a plurality of virtual random walkers will move among different locations in the virtual space, wherein the virtual space comprises a plurality of vertices and wherein the different locations are ones of the plurality of vertices;
• assigning, using the processor, a corresponding set of neurons in a spiking neural network to a corresponding vertex such that there is a correspondence between sets of neurons and the plurality of vertices, wherein a spiking neural network comprising a plurality of sets of spiking neurons is established;
• and
• executing, using the processor, a virtual random walk of the plurality of virtual random walkers using the spiking neural network, wherein executing includes tracking how many virtual random walkers are at each vertex at a given time increment.