Tightness for random walks driven by the planar Gaussian free field at high temperature

Key Points

• The study reveals tightness for random walks driven by the planar Gaussian free field, suggesting a significant relationship at high temperatures.
• Key evidence shows an improved understanding of random walk behaviors influenced by environmental variables like temperature.
• Analysis across multiple scenarios illustrates the intricate dynamics of stochastic processes under high-temperature conditions.
• This finding supports further exploration of random walks in complex fields, highlighting the need for broader applications in mathematical modeling.