Establishes Poincaré inequality with spectral gap of order N^{-2} for elephant random walk, giving matching exponential upper and lower bounds on survival probability decay.
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A Poincar\'e Inequality and Exponential Decay for the Elephant Random Walk
Establishes Poincaré inequality with spectral gap of order N^{-2} for elephant random walk, giving matching exponential upper and lower bounds on survival probability decay.