The paper proposes a 2-dimensional cellular automaton model to simulate pedestrian dynamics, focusing on long-range interactions and collective effects. The model introduces a "floor field" that mediates interactions between pedestrians, modifying transition rates to neighboring cells. This field can be discrete or continuous and is subject to diffusion and decay, influenced by pedestrian movements. The model aims to reproduce phenomena such as lane formation in counterflow and evacuation in reduced visibility conditions. Key features include parallel dynamics, exclusion statistics, and minimal pedestrian intelligence, with interactions modeled through virtual traces similar to chemotaxis. The authors demonstrate the model's ability to simulate complex behaviors using simple rules and its applicability to various traffic flow problems. Simulations of room evacuation and lane formation in corridors show the model's effectiveness in reproducing empirical phenomena.The paper proposes a 2-dimensional cellular automaton model to simulate pedestrian dynamics, focusing on long-range interactions and collective effects. The model introduces a "floor field" that mediates interactions between pedestrians, modifying transition rates to neighboring cells. This field can be discrete or continuous and is subject to diffusion and decay, influenced by pedestrian movements. The model aims to reproduce phenomena such as lane formation in counterflow and evacuation in reduced visibility conditions. Key features include parallel dynamics, exclusion statistics, and minimal pedestrian intelligence, with interactions modeled through virtual traces similar to chemotaxis. The authors demonstrate the model's ability to simulate complex behaviors using simple rules and its applicability to various traffic flow problems. Simulations of room evacuation and lane formation in corridors show the model's effectiveness in reproducing empirical phenomena.