6 citations · 8 across the 3 of their papers we have counts for
9 papers
Solving stochastic differential equations with Cartan's exterior differential systems
Paul Lescot, Hélène Quintard, Jean-Claude Zambrini
The aim of this work is to use systematically the symmetries of the (one dimensional) bacward heat equation with potentiel in order to solve certain one dimensional Itô's stochasti…
On the commuting probability and supersolvability of finite groups
Paul Lescot, Hung Ngoc Nguyen, Yong Yang
For a finite group , let denote the probability that a randomly chosen pair of elements of commute. We prove that if for some integer and splits…
Prime and primary ideals in characteristic one
Paul Lescot
We study zero divisors and minimal prime ideals in semirings of characteristic one. Thereafter we find a counterexample to the most obvious version of primary decomposition, but ar…
Absolute Algebra III - The saturated spectrum
Paul Lescot
Let B1 denote the set {0,1} with the usual operations except that , in other words, the smallest characteristic 1 semifield . We compare two possible analogues of the notion…
Symmetries of the Black-Scholes equation
Paul Lescot
We determine the algebra of isovectors for the Black--Scholes equation. As a consequence, we obtain some previously unknown families of transformations on the solutions.
The global random attractor for a class of stochastic porous media equations
W. Beyn, B. Gess, P. Lescot +1
We prove new -estimates and regularity results for generalized porous media equations "shifted by" a function-valued Wiener path. To include Wiener paths with merely first spa…