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Hyperplane sections and the subtlety of the Lefschetz properties
Monomial ideal lifting Lefschetz properties hyperplane section
2011/1/21
The weak and strong Lefschetz properties are two basic properties that Artinian algebrasmay have. Both Lefschetz properties may vary under small perturbations or changes of the characteristic.
Algebraic Properties of a Disordered Asymmetric Glauber Model
Algebraic Properties Disordered Asymmetric Glauber Model
2011/1/18
We consider an asymmetric variant of disordered Gla-uber dynamics of Ising spins on a one-dimensional lattice, where each spin flips according to the relative state of the spin to its
left.
Gibbs-non-Gibbs properties for evolving Ising models on trees
non-Gibbsianness Ising models tree graphs Glauber dynamics
2010/12/7
In this paper we study homogeneous Gibbs measures on a Cayley tree,subjected to an in nite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show that the intermediate Gi...
I would like to thank my advisor, Prof. Jaroslav Neˇsetˇril, for his lead, patience and for
fixing sometimes unbelievable mistakes I was doing (seemingly) intentionally and perpetually.
I would like...
Ergodic properties of a model for turbulent dispersion of inertial particles
Ergodic properties model for turbulent dispersion of inertial particles
2010/11/30
We study a simple stochastic differential equation that models the dispersion of close heavy
particles moving in a turbulent flow. In one and two dimensions, the model is closely related to the onedi...