Archive ouverte HAL – Exact Persistence Exponent for the 2 D -Diffusion Equation and Related Kac Polynomials
Mihail Poplavskyi 1 Gregory Schehr 2 Physical Review Letters, American Physical Society, 2018, 121 (15), 〈10.1103/PhysRevLett.121.150601〉 We compute the persistence for the $2d$-diffusion equation with random initial condition, i.e., the probability $p_0(t)$ that the diffusion field, at a given point ${\bf x}$ in the plane, has not changed sign up to time $t$. For large […]
