Add to ORKGWe develop a new method for proving that a flow has the so-called strong convolution singularity property, i.e. the Gaussian system induced by its (reduced) maximal spectral type has simple spectrum. We use these methods to give examples of smooth flows on closed orientable surfaces of genus at least 2 with a weaker property: each of their maximal spectral types σ is such that the Gaussian system induced by σ has simple spectrum on the so-called 3rd chaos (i.e. V 3σ has simple spectrum)
This dissertation concerns the mean curvature flow, a geometric evolution equation for submanifolds,...
The main purpose of this paper is to show that Markov solutions to the 3D Navier--Stokes equations d...
AbstractIt is known that the energy of a weak solution to the Euler equation is conserved if it is s...
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonia...
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonia...
We give a geometric criterion that guaranteesa purely singular spectral type for a dynamical system ...
We survey some recent advances in the study of (area-preserving) flows on surfaces, in particular on...
We survey some recent advances in the study of (area-preserving) flows on surfaces, in particular on...
revised version with 19 pages. Submitted for publication.It is shown that a certain class of Riesz p...
revised version with 19 pages. Submitted for publication.It is shown that a certain class of Riesz p...
Flows on surfaces describe many systems of physical origin and are one of the most fundamental examp...
Flows on surfaces describe many systems of physical origin and are one of the most fundamental examp...
Analytically computing the spectrum of the Laplacian is impossible for all but a handful of classica...
This article extends the analysis developed by Giona and Adrover [M. Giona, A. Adrover, Phys. Rev. L...
Abstract We first bound the codimension of an ancient mean curvature flow by the entropy. As a cons...
This dissertation concerns the mean curvature flow, a geometric evolution equation for submanifolds,...
The main purpose of this paper is to show that Markov solutions to the 3D Navier--Stokes equations d...
AbstractIt is known that the energy of a weak solution to the Euler equation is conserved if it is s...
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonia...
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonia...
We give a geometric criterion that guaranteesa purely singular spectral type for a dynamical system ...
We survey some recent advances in the study of (area-preserving) flows on surfaces, in particular on...
We survey some recent advances in the study of (area-preserving) flows on surfaces, in particular on...
revised version with 19 pages. Submitted for publication.It is shown that a certain class of Riesz p...
revised version with 19 pages. Submitted for publication.It is shown that a certain class of Riesz p...
Flows on surfaces describe many systems of physical origin and are one of the most fundamental examp...
Flows on surfaces describe many systems of physical origin and are one of the most fundamental examp...
Analytically computing the spectrum of the Laplacian is impossible for all but a handful of classica...
This article extends the analysis developed by Giona and Adrover [M. Giona, A. Adrover, Phys. Rev. L...
Abstract We first bound the codimension of an ancient mean curvature flow by the entropy. As a cons...
This dissertation concerns the mean curvature flow, a geometric evolution equation for submanifolds,...
The main purpose of this paper is to show that Markov solutions to the 3D Navier--Stokes equations d...
AbstractIt is known that the energy of a weak solution to the Euler equation is conserved if it is s...