Institut de recherche mathématique de Rennes

Uniqueness of Adapted Solutions to Scalar BSDEs with Peano-Type Generators

Abstract. A backward stochastic differential equation (BSDE) with a Peano-type generator is known to have infinitely many solutions when the terminal value is vanishing, and it is shown to have possibly multiple solutions even when the terminal value is not vanishing but nonnegat...

Strong minimality of triangle functions

In this manuscript, we give a new proof of strong minimality of certain automorphic functions, originally results of Freitag and Scanlon (2017), Casale, Freitag and Nagloo (2020), Blázquez-Sanz, Casale, Freitag and Nagloo (2020). Our proof is shorter and conceptually different th...