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math.AP2022
Voting models and semilinear parabolic equations
Jing An, Christopher Henderson, Lenya Ryzhik
We present probabilistic interpretations of solutions to semi-linear parabolic equations with polynomial nonlinearities in terms of the voting models on the genealogical trees of b…
math.AP2022★ 2 cited
Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts
Jing An, Christopher Henderson, Lenya Ryzhik
We uncover a seemingly previously unnoticed algebraic structure of a large class of reaction-diffusion equations and use it, in particular, to study the long time behavior of the s…
math.AP2022
A uniform bound for solutions to a thermo-diffusive system
Joonhyun La, Lenya Ryzhik
We obtain uniform in time bounds for the solutions to a class of thermo-diffusive systems with classical and fractional diffusions. In the classical diffusion case, the nonlinearit…