Permeable composite fibrous catalytic sheets comprised of at least three distinct solid phases. A first solid phase is a 3-dimensional porous network of a non-conductive porous ceramic material. A second solid phase is an electrically conductive phase comprised of randomly oriented electrically conductive fibers. A third phase is comprised of catalytic particles dispersed on said 3-dimensional porous network, said conductive fibers, or both. A fourth phase can be present, which fourth phase is comprised one or more conductive species or one or more non conductive species embedded in said first solid phase.