We study the square-lattice three-state Potts model with the ferromagnetic next-nearest-neighbor coupling at finite temperature. Using the level-spectroscopy method, we numerically analyze the excitation spectrum of the transfer matrices and precisely determine the global phase diagram. Then we find that, contrary to a previous result based on the finite-size scaling, the massless region contin...

Childbirth registration in Zimbabwe has decreased over the years, yet risk factors associated with this incompleteness have not been explored. This study investigates trends birth completeness and decrease among children aged 0-5 years from 2005-2015. We use data the, 2005-06, 2010-11 2015 Demographic Health Survey. Trends based on survey year were calculated multivariable logistic regression m...

Caste and religion are integral components of Indian society since the time immemorial. These two systems create water tight compartment between communities and bring division, hatred and tension among various social groups. Marriages within the same caste and same religion is the norm of the Indian society. To think of marriages between different castes and different religions is a difficult a...

Two-dimensional (Z1–Z3–Z1) maps are such that the plane is divided into three unbounded open regions: a region Z3, whose points generate three real rank-one preimages, bordered by two regions Z1, whose points generate only one real rank-one preimage. This paper is essentially devoted to the study of the structures, and the global bifurcations, of the basins of attraction generated by such maps....

It is proven that if G is a 3-connected claw-free graph which is also Z3-free (where Z3 is a triangle with a path of length 3 attached), P6-free (where P6 is a path with 6 vertices) or H1-free (where H1 consists of two disjoint triangles connected by an edge), then G is hamiltonian-connected. Also, examples will be described that determine a finite family of graphs L such that if a 3-connected ...

Let Z3 act on C 2 by non-trivial opposite characters. Let X = [C/Z3] be the orbifold quotient, and let Y be the unique crepant resolution. We show the equivariant genus 0 Gromov-Witten potentials FX and F Y are equal after a change of variables — verifying the Crepant Resolution Conjecture for the pair (X , Y ). Our computations involve Hodge integrals on trigonal Hurwitz spaces which are of in...

We give upper bounds for the number of spin 1 2 particles that can be bound to a nucleus of charge Z in the presence of a magnetic field B, including the spin-field coupling. We use Lieb’s strategy, which is known to yield Nc < 2Z + 1 for magnetic fields that go to zero at infinity, ignoring the spin-field interaction. For particles with fermionic statistics in a homogeneous magnetic field our ...