In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent
and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems …

Background: Luteinizing hormone-releasing hormone (LH-RH) plays a central role in the
vertebrate reproduction by regulating gonadal activity. Based on its binding to pituitary LH …

In this paper, we develop a Hamilton–Jacobi theory for forced Hamiltonian and Lagrangian
systems. We study the complete solutions, particularize for Rayleigh systems, and present …

Contact Hamiltonian systems are a generalization of the Hamiltonian systems of classical
mechanics. The action is added as an extra variable in phase space, and symplectic …

We consider the Curie-Weiss Widom-Rowlinson model for particles with spins and holes,
with a repulsion strength beta between particles of opposite spins. We provide a closed …

Abstract We consider the Widom–Rowlinson model on the lattice Z^ d Z d in two versions,
comparing the cases of a hard-core repulsion and of a soft-core repulsion between particles …

We consider the iid Bernoulli field μ p on Z d with occupation density p∈[0, 1]. To each
realization of the set of occupied sites we apply a thinning map that removes all occupied …

We consider the locally thinned Bernoulli field on $\mathbb Z^ d $, which is the lattice
version of the Type-I Mat\'ern hardcore process in Euclidean space. It is given as the lattice …

Abstract The Widom-Rowlinson model is an equilibrium model for point particles in
Euclidean space. It has a repulsive interaction between particles of different colors, and …

Solid matter consists of atoms which are ordered on a lattice. The electrons of the atoms
have a magnetic spin moment. For atoms whose outer electron shell is not fully occupied …