Equidistribution of expanding translates of curves in homogeneous spaces and its application to Diophantine approximation.

semisimple Lie groups

discrete subgroups

expanding horospherical subgroup

equidistribution results

analytic curves

application to Diophantine approximation

01A55 - History of mathematics in the 19th century

35Q60 - PDEs in connection with optics and electromagnetic theory

35Q79 - PDEs in connection with classical thermodynamics and heat transfer

11K38 - Irregularities of distribution, discrepancy [See also 11Nxx]

49Q15 - Geometric measure and integration theory, integral and normal currents in optimization [See also 28A75, 32C30, 58A25, 58C35]

20J06 - Cohomology of groups

20M32 - Algebraic monoids

20M13 - Arithmetic theory of semigroups