46 citations · 277 across the 43 of their papers we have counts for
4 papers · 1 filter
Excursions and occupation times of critical excited random walks
Dmitry Dolgopyat, Elena Kosygina
The paper considers excited random walks (ERWs) on integers in i.i.d. environments with a bounded number of excitations per site. The emphasis is primarily on the critical case for…
Geometric and measure-theoretical structures of maps with mostly contracting center
Dmitry Dolgopyat, Marcelo Viana, Jiagang Yang
We show that every diffeomorphism with mostly contracting center direction exhibits a geometric-combinatorial structure, which we call \emph{skeleton}, that determines the number,…
Non equilibrium density profiles in Lorentz tubes with thermostated boundaries
Dmitry Dolgopyat, Peter Nandori
We consider a long Lorentz tube with absorbing boundaries. Particles are injected to the tube from the left end. We compute the equilibrium density profiles in two cases: the semi-…
Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps
Vaughn Climenhaga, Dmitry Dolgopyat, Yakov Pesin
We prove the existence of SRB measures for diffeomorphisms where a positive volume set of initial conditions satisfy an "effective hyperbolicity" condition that guarantees certain…