Nonconventional polynomial CLT

Nonconventional Limit Theorems in Averaging

We consider ”nonconventional” averaging setup in the form dX(t) dt = ǫB ` X(t), ξ(q1(t)), ξ(q2(t)), ..., ξ(ql(t)) ́ where ξ(t), t ≥ 0 is either a stochastic process or a dynamical system (i.e. then ξ(t) = F x) with sufficiently fast mixing while qj(t) = αjt, α1 < α2 < ... < αk and qj , j = k+1, ..., l grow faster than linearly. We show that the properly normalized error term in the ”nonconventio...

Nonconventional Limit Theorems

The polynomial ergodic theorem (PET) which appeared in [1] and attracted substantial attention in ergodic theory studies the limits of expressions having the form 1/N ∑n=1 T q1(n) f1 · · ·T ql(n) fl where T is a weakly mixing measure preserving transformation, fi’s are bounded measurable functions and qi’s are polynomials taking on integer values on the integers. Motivated partially by this res...

Nonconventional ventilation techniques.

PURPOSE OF REVIEW Mechanical ventilation is one of the most important life support tools in the ICU, but it may also be harmful by causing ventilator-induced lung injury (VILI) and other deleterious effects. Advances in ventilator technology have allowed the introduction of numerous ventilator modes in an effort to improve gas exchange, reduce the risk of VILI, and finally improve outcome. In t...

Nonconventional Markers of Sepsis

Sepsis still remains a challenging healthcare problem with high mortality rate. To improve outcome, early diagnosis and monitoring of sepsis is of utmost importance. In this process objective laboratory parameters are the most helpful. Procalcitonin and C-reactive protein are the most commonly used and recommended markers of sepsis however, more than 200 sepsis biomarkers have already been publ...

Nonconventional Method of Polymer Patterning