A process for the production of an aqueous dispersion stabilized by a water-soluble polyvinyl alcohol and based on copolymers that comprise at least 60% by weight of monomer units selected from the group consisting of esters of acrylic acid, esters of methacrylic acid, styrene, and mixtures thereof with each other, consisting essentially of subjecting a previously prepared, stabilized dispersion of a monomer mixture containing at least 60% by weight of monomers selected from the group consisting of esters of acrylic acid, esters of methacrylic acid, styrene, and mixtures thereof with each other, said dispersion being an aqueous dispersion stabilized by a water-soluble polyvinyl alcohol employed in an amount of from 4% to 20% by weight, based on the monomers, to polymerization in the absence of emulsifiers at a temperature equal to or in excess of 67.degree. C. in the presence of a free-radical-forming catalyst selected from the group consisting of:
- (a) organic catalysts soluble in the monomers and also being at least partially water-soluble, optionally in combination with water-soluble reducing agents, and
- (b) inorganic, water-soluble peroxosulfur catalysts, in such a manner that, during the entire duration of the reaction, said monomer mixture is supplied at such a rate by metering in the monomer mixture in the form of a previously obtained emulsion, that the monomer concentration is maintained at less than 20% by weight, based on the total weight of the reaction mixture;
- and recovering said stabilized dispersion.