We present some new results regarding simulations of finite density QCD based on a canonical approach. A previous study has shown that such simulations are feasible, at least on small lattices. In the current study, we investigate some of the issues left open: we study the errors introduced by our approximation of the action and we show how to tune it to reduce the cost of the simulations while...

I briefly discuss recent lattice calculations of a selected list of hadronic matrix elements that play a role in flavour physics. I also discuss how the present accuracy on these quantities can eventually be improved by considering effects that have been neglected up to now (isospin breaking, long distance, etc.).

As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of corresponding three-dimensional lattice models. We present the modified version of these equations which give the commuting family of more complicated two-layer transfer-matrices. In the static limit we have succeeded in constructing the solution of these equations in terms of e...

Topological or deconfined phases of matter exhibit emergent gauge fields and quasiparticles that carry a corresponding gauge charge. In systems with an intrinsic conserved U(1) charge, such as all electronic systems where the Coulombic charge plays this role, these quasiparticles are also characterized by their intrinsic charge. We show that one can take advantage of the topological order fairl...

We present a physiologically structured lattice model for vascular tumor growth which accounts for blood flow and structural adaptation of the vasculature, transport of oxygen, interaction between cancerous and normal tissue, cell division, apoptosis, vascular endothelial growth factor release, and the coupling between these processes. Simulations of the model are used to investigate the effect...

Some results on the two-point function and on the analytic structure of the momenta of the effective fugacity at the origin for a class of diluted ferromagnetic Ising models on the Cayley tree are presented.

The cocycle super-rigidity theorem is a central result in the study of dynamics of semisimple Lie groups and lattices. We give an overview of the main ideas centered on this theorem and some of its most immediate applications. The emphasis will be on the topological and differentiable (as opposed to measurable) aspects of the theory.

In random systems consisting of grains with size distributions the transport properties are difficult to explore by network models. However, the concentration dependence of effective conductivity and its critical properties can be considered within coarsened lattice model proposed that takes into account information from experimentally known size histograms. For certain classes of size distribu...

The extremal 3-modular lattice [±G2(3)]14 with automorphism group C2 × G2(F3) is the unique dual strongly perfect lattice of dimension 14.