44 citations · 114 across the 12 of their papers we have counts for
12 papers
Exactly solvable flat-foldable quadrilateral origami tilings
Michael Assis
We consider several quadrilateral origami tilings, including the Miura-ori crease pattern, allowing for crease-reversal defects above the ground state which maintain local flat-fol…
Analyticity of the Ising susceptibility: An interpretation
M. Assis, J. L. Jacobsen, I. Jensen +2
We discuss the implications of studies of partition function zeros and equimodular curves for the analytic properties of the Ising model on a square lattice in a magnetic field. In…
The 16-vertex model and its even and odd 8-vertex subcases on the square lattice
Michael Assis
We survey and enlarge the known mappings of the 16-vertex model, with emphasis on mappings between the even and odd 8-vertex subcases of the general model, also giving new mappings…
The perimeter generating functions of three-choice, imperfect, and 1-punctured staircase polygons
M. Assis, M. van Hoeij, J-M. Maillard
We consider the isotropic perimeter generating functions of three-choice, imperfect, and 1-punctured staircase polygons, whose 8th order linear Fuchsian ODEs are previously known.…
Integrability vs non-integrability: Hard hexagons and hard squares compared
M. Assis, J. L. Jacobsen, I. Jensen +2
In this paper we compare the integrable hard hexagon model with the non-integrable hard squares model by means of partition function roots and transfer matrix eigenvalues. We consi…
Hard hexagon partition function for complex fugacity
M. Assis, J. L. Jacobsen, I. Jensen +2
We study the analyticity of the partition function of the hard hexagon model in the complex fugacity plane by computing zeros and transfer matrix eigenvalues for large finite size…
Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi-Yau equations
M. Assis, S. Boukraa, S. Hassani +3
We give the exact expressions of the partial susceptibilities and for the diagonal susceptibility of the Ising model in terms of modular forms and Calabi-Ya…
Factorization of the Ising model form factors
M. Assis, J-M. Maillard, B. M. McCoy
We present a general method for analytically factorizing the n-fold form factor integrals for the correlation functions of the Ising model on the diagonal in ter…
The energy density of an Ising half plane lattice
M. Assis, B. M. McCoy
We compute the energy density at arbitrary temperature of the half plane Ising lattice with a boundary magnetic field at a distance rows from the boundary and compare lim…
The saga of the Ising susceptibility
B. M. McCoy, M. Assis, S. Boukraa +4
We review developments made since 1959 in the search for a closed form for the susceptibility of the Ising model. The expressions for the form factors in terms of the nome and…
Neutrinos in a left-right model with a horizontal symmetry
Ken Kiers, Michael Assis, David Simons +2
We analyze the lepton sector of a Left-Right Model based on the gauge group SU(2)_L x SU(2)_R x U(1), concentrating mainly on neutrino properties. Using the seesaw mechanism and a…
Higgs Sector of the Left-Right Model with Explicit CP Violation
Ken Kiers, Michael Assis, Alexey A. Petrov
We explore the Higgs sector of the Minimal Left-Right (LR) Model based on the gauge group SU(2)_L x SU(2)_R x U(1)_{B-L} with explicit CP violation in the Higgs potential. Since fl…