Stanislav Alexeyevich Molchanov (Russian: Станислав Алексеевич Молчанов) is a Soviet and American mathematician.

[1] From 1958 to 1963 he was a student at the Mathematical and Mechanical faculty, Moscow State University (MSU), where he graduated in 1963 with a master's thesis On one problem from the diffusion process theory supervised by Eugene Dynkin.

[1] He has been a visiting professor at the International School for Probability Theory in St. Flour, the Ruhr-Universität Bochum, the ETH Zurich, the EPFL Lausanne, the TU Berlin, Paris (University Paris IV and VI), Ottawa, Rome, Santiago de Chile, Cambridge's Isaac Newton Institute, and Bielefeld.

His research on applied mathematics includes physical processes and fields in disordered structures involving averaging and intermittency with applications to geophysics, astrophysics, oceanography.

[2] With Michael Aizenman, Molchanov proved in 1993 localization for large coupling constants and energies near the edge of the spectrum.