The purpose of this contribution is to develop a method for construction of solutions of linear discrete systems with constant coefficients and with pure delay. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential having between every two adjoining knots the form of a polynomial. These polynomials have increasing degrees in the right directio...

We study the quark confinement problem in 2+1 dimensional pure Yang-Mills theory using euclidean instanton methods. The instantons are regularized and dressed Wu-Yang monopoles. The dressing of a monopole is due to the mean field of the rest of the monopoles. We argue that such configurations are stable to small perturbations unlike the case of singular, undressed monopoles. Using exact non-per...

A general semiclassical expression for quantum fidelity (Loschmidt echo) of arbitrary pure and mixed states is derived. It expresses fidelity as an interference sum of dephasing trajectories weighed by the Wigner function of the initial state, and does not require that the initial state be localized in position or momentum. This general dephasing representation is special in that, counterintuit...

‎for a set of non-negative integers~$l$‎, ‎the $l$-intersection number of a graph is the smallest number~$l$ for which there is an assignment of subsets $a_v subseteq {1,dots‎, ‎l}$ to vertices $v$‎, ‎such that every two vertices $u,v$ are adjacent if and only if $|a_u cap a_v|in l$‎. ‎the bipartite $l$-intersection number is defined similarly when the conditions are considered only for the ver...

Recent advances in high energy QCD experiments probing the deconfinement transition from hadronic to coloured quark matter tend to confirm that perlocation of unbounded quarks could provide a signature of this phase transition. In the strong coupling limit the partition function of SU(2) pure gauge theory can be modeled by that of an infinite spin Ising system with short-range ferromagnetic int...

An attempt is made here to study the Mittag–Leffler function with two variables. Its various properties including integral and operational relationships other known functions of one variable, pure differential recurrence relations, Euler transform, Laplace Mellin Whittaker Mellin–Barnes representation, its relationship Wright hypergeometric are investigated established. Also, variables associat...

      The French law, contrary to the Iranian law, has given the mother a kind of representation for guardianship and training of the child. This is a development that was established in France in 1970, and in Article 6 of the Iranian Family Protection Act of 2012, the granting of representation to the mother over the legal procedure for demand of the child or the incompetent has been entrusted...