Optimal Dynami Treatment Regimes

Nonlinear Voter Models: The Transition from Invasion to Coexistence

In nonlinear voter models the transitions between two states depend in a nonlinear manner on the frequen ies of these states in the neighborhood. We investigate the role of these nonlinearities on the global out ome of the dynami s for a homogeneous network where ea h node is onne ted to m = 4 neighbors. The paper unfolds in two dire tions. We rst develop a general sto hasti framework for frequ...

Marginal Mean Models for Dynami Regimes

Dynamic regime marginal structural mean models for estimation of optimal dynamic treatment regimes, Part I: main content.

Dynamic treatment regimes are set rules for sequential decision making based on patient covariate history. Observational studies are well suited for the investigation of the effects of dynamic treatment regimes because of the variability in treatment decisions found in them. This variability exists because different physicians make different decisions in the face of similar patient histories. I...

A ug 2 00 3 Dynamical Systems , Topology and Conductivity in Normal Metals

New observable integer-valued numbers of the topological origin were revealed by the present authors studying the conductivity theory of single crystal 3D normal metals in the reasonably strong magnetic field (B ≤ 10 3 T l). Our investigation is based on the study of dynami-cal systems on Fermi surfaces for the motion of semi-classical electron in magnetic field. All possible asymptotic regimes...

A pr 2 00 3 Dynamical Systems , Topology and Conductivity in Normal Metals

New observable integer-valued numbers of the topological origin were revealed by the present authors studying the conductivity theory of single crystal 3D normal metals in the reasonably strong magnetic field (B ≤ 10 3 T l). Our investigation is based on the study of dynami-cal systems on Fermi surfaces for the motion of semi-classical electron in magnetic field. All possible asymptotic regimes...