L'aiguille de Buffon sur la sphère.
A Lyapunov function for pullback attractors of nonautonomous differential equations.
Fixed point data of finite groups acting on 3-manifolds.
Synchronization of nonautonomous dynamical systems.
Sufficient conditions for functions to form Riesz bases in and applications to nonlinear boundary-value problems.
On an infinite sequence of invariant measures for the cubic nonlinear Schrödinger equation.
Periodic solutions of systems with asymptotically even nonlinearities.
Polyhedral approximation of convex sets with an application to large deviation probability theory.
Conservation laws of discrete Korteweg-de Vries equation.
Robust option replication for a Black-Scholes model extended with nondeterministic trends.
Lyapunov functions for linear nonautonomous dynamical equations on time scales.
Pullback incremental attraction
A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.
Dürer polyhedra: the dark side of melancholia
Dürer's engraving Melencolia I famously includes a perspective view of a solid polyhedral block of which the visible portion is an 8-circuit bounding a pentagon-triple+triangle patch. The polyhedron is usually taken to be a cube truncated on antipodal corners, but an infinity of others are compatible with the visible patch. Construction of all cubic polyhedra compatible with the visible portion (i.e., Dürer Polyhedra) is discussed, explicit graphs and symmetries are listed for small cases ( ≤ 18...
On Clifford's theorem for rank-3 bundles.
In this paper we obtain bounds on h(E) where E is a semistable bundle of rank 3 over a smooth irreducible projective curve X of genus g ≥ 2 defined over an algebraically closed field of characteristic 0. These bounds are expressed in terms of the degrees of stability s(E), s(E). We show also that in some cases the bounds are best possible. These results extend recent work of J. Cilleruelo and I. Sols for bundles of rank 2.
Synchronization of dissipative dynamical systems driven by non-Gaussian Lev́y noises.
Statistics, yokes and symplectic geometry
Stochastic calculus, statistical asymptotics, Taylor strings and phyla
Page 1