Five years before Einstein 's famous 1905 paper on Brownian Motion, in which Einstein derived the equation (the partial differential heat/diffusion equation of Fourier) governing Brownian motion and made an estimate for the size of molecules, Bachelier had worked out, for his Thesis, the distribution function for what is now known as the Wiener stochastic process (the stochastic process that underlies Brownian Motion) linking it mathematically with the diffusion equation.
Limang taon bago Einstein 's bantog 1905 papel sa Brownian Motion, sa Einstein na kung saan nagmula ang equation (ang mga bahagi ng kaugalian init / pagsasabog equation ng Fourier) namamahala sa kilos Brownian at ginawa ng estimate para sa laki ng molecule, Bachelier had nagtrabaho out, para sa kanyang Sanaysay, ang pamamahagi ng function para sa kung ano ang ngayon ay kilala bilang ang Wiener stochastic proseso (stochastic ang proseso na underlies Brownian Motion) nagli-link ito mathematically sa pagsasabog equation.