20 citations · 28 across the 6 of their papers we have counts for
6 papers
Convergence Rates for Semistochastic Processes
James Broda, Alexander Grigo, Nikola P. Petrov
We study processes that consist of deterministic evolution punctuated at random times by disturbances with random severity; we call such processes semistochastic. Under appropriate…
Existence of stable periodic orbits in billiards close to lemon and moon billiards
Alexander Grigo
It is known that at lemon and moon billiards that have a sufficiently small curvature on one of their circular arcs are hyperbolic. In this paper we show that replacing this circul…
A rigorous derivation of Haff's law for a periodic two-disk fluid
Alexander Grigo
We derive Haff's cooling law for a periodic fluid consisting of two hard disks per unit cell by reducing it to a point particle moving inside a Sinai billiard with finite horizon w…
How smooth can convex chaotic billiard tables be?
Leonid Bunimovich, Alexander Grigo
We solve the longstanding problem of smoothing a stadium billiard. Besides our results demonstrate why there were no clear conjectures how much the stadium's boundary must be smoot…
Noise vs computational intractability in dynamics
Mark Braverman, Alexander Grigo, Cristobal Rojas
Computation plays a key role in predicting and analyzing natural phenomena. There are two fundamental barriers to our ability to computationally understand the long-term behavior o…
Mixing rates of particle systems with energy exchange
Alexander Grigo, Konstantin Khanin, Domokos Szasz
A fundamental problem of non-equilibrium statistical mechanics is the derivation of macroscopic transport equations in the hydrodynamic limit. The rigorous study of such limits req…