In this paper we construct some "pathological'' volume preserving partially hyperbolic diffeomorphisms on 'T POT.3' such that their behavior in small scales in the central direction (Lyapunov exponent) is opposite to the ...

We present new sharp inequalities for the Maclaurin coefficients of an entire function from the Laguerre-Pólya class. They are obtained by a new technique involving the so-called very hyperbolic polynomials. The results ...

We present new sharp inequalities for the Maclaurin coefficients of an entire function from the Laguerre-Pólya class. They are obtained by a new technique involving the so-called very hyperbolic polynomials. The results ...

The main goal of this paper is to derive long time estimates of the energy for the higher order hyperbolic equations with time-dependent coefficients. in particular, we estimate the energy in the hyperbolic zone of the ...

We consider the dynamics of fibred quadratic polynomials over an irrational rotation of the circle. We construct a simple mechanism, so-called critical connection, that implies non-hyperbolicity. To exhibit that critical ...