Abstract: The invention relates to a porous structure comprising a ceramic material comprising mainly or consisting of an oxide material of the pseudobrookite type comprising titanium, aluminum, magnesium and zirconium in proportions such that the phase of the pseudobrookite type substantially satisfies the formula: (Al2TiO5)x(MgTi2O5)y(MgTiZrO5)z said material satisfying the following composition, in mol % on the basis of just the oxides Al2O3, TiO2, MgO and ZrO2: 90<2a+3m<110; 100+a<3t<210?a; and a+t+m+zr=100, in which: a is the molar content of Al2O3; t is the molar content of TiO2; m is the molar content of MgO; and zr is the molar content of ZrO2.