A novel probe of bubble size statistics and time scales of the epoch of reionization using the contour Minkowski Tensor

Understand

We employ the rank-2 {\em contour} Minkowski Tensor in two dimensions to probe length and time scales of ionized bubbles during the epoch of reionization.

• We demonstrate that the eigenvalues of this tensor provide excellent probes of the distribution of the sizes of ionized bubbles, and from it the characteristic bubble sizes, at different redshifts.
• We show that ionized bubbles are not circular, and hence not spherical in three dimensions, as is often assumed for simplified analytic arguments.
• We quantify their shape anisotropy by using the ratio of the two eigenvalues.