37 citations · 69 across the 14 of their papers we have counts for
17 papers
Slot decomposition of continuous Box-Ball Systems
Inés Armendáriz, Pablo Blanc, Pablo A. Ferrari +1
We study a piecewise constant function with a finite number of discontinuities in any interval. We assume that the associated walk $ξ:\mathbb R\to\mathbb R…
Krylov-Safonov theory for Pucci-type extremal inequalities on random data clouds
Ángel Arroyo, Pablo Blanc, Mikko Parviainen
We establish Krylov-Safonov type Hölder regularity theory for solutions to quite general discrete dynamic programming equations or equivalently discrete stochastic processes on ran…
A bridge between convexity and quasiconvexity
Pablo Blanc, Mikko Parviainen, Julio Rossi
We introduce a notion of convexity with respect to a one-dimensional operator and with this notion find a one-parameter family of different convexities that interpolates between cl…
Local regularity estimates for general discrete dynamic programming equations
Ángel Arroyo, Pablo Blanc, Mikko Parviainen
We obtain an analytic proof for asymptotic Hölder estimate and Harnack's inequality for solutions to a discrete dynamic programming equation. The results also generalize to functio…
Game-theoretic approach to Hölder regularity for PDEs involving eigenvalues of the Hessian
Pablo Blanc, Jeongmin Han, Mikko Parviainen +1
We prove a local Hölder estimate with an exponent for solutions of the dynamic programming principle $$u^\varepsilon (x) =\sum_{j=1}^n α_j\inf_{\dim(S)=j}\sup_{\subs…
Hölder regularity for stochastic processes with bounded and measurable increments
Ángel Arroyo, Pablo Blanc, Mikko Parviainen
We obtain an asymptotic Hölder estimate for expectations of a quite general class of discrete stochastic processes. Such expectations can also be described as solutions to a dynami…