We investigate models of (1 + d)-D Lorentzian semi-random lattices with one random (space-like) direction and d regular (time-like) ones. We prove a general inversion formula expressing the partition function of these models as the inverse of that of hard objects in d dimensions. This allows for an exact solution of a variety of new models including critical and multicritical generalized (1 + 1...

A new closed-form inflationary solution is given for a hyperbolic interaction potential. The method used to arrive at this solution is outlined as it appears possible to generate additional sets of equations which satisfy the model. In addition a new form of decaying cosmological constant is presented. PACS numbers: 98.80.Hw, 98.80.Bp, 04.60.+n

The condition for pressure isotropy is reduced to a recurrence equation with variable, rational coefficients of order three. We prove that this difference equation can be solved in general. Consequently we can find an exact solution to the field equations corresponding to a static spherically symmetric gravitational potential in terms of elementary functions. The metric functions, the energy de...

Iterative MCTEf IMCTE φ(u, v) = M (v, u) the approximated MCTEf message of a previous execution (one with minor r) procedure IMCTEf(〈X,D,C, k〉, 〈〈V,E〉, χ, ψ〉) INPUT: P = 〈X,D,C, k〉 is a WCSP instance TD = 〈〈V,E〉, χ, ψ〉 is a tree decomposition. 1 for each (u, v) ∈ E do φ(u, v) := {∅}; 2 r := 1; 3 repeat 4 MCTEf(r); 5 for each (u, v) ∈ E do φ(u, v) :=M(u,v); 6 r := r + 1; 7 until exact solution o...

Abstract We present a number of D = 4 bosonic and heterotic string solutions with a covariantly constant null Killing vector which, like the solution of Nappi and Witten (NW), correspond to (gauged) WZW models and thus have a direct conformal field theory interpretation. A class of exact plane wave solutions (which includes the NW solution) is constructed by ‘boosting’ the twisted products of t...

2014 The curvature of a space and the density of disclinations are two related quantities. There is an exact relation in 2-D spaces. We show how an approximate solution can be used in 3-D space. Applications to the 03B2-W structure and the Laves phase are presented The coordination number in dense random structures is explained in terms of disclination density. J. Physique 45 (1984) 1025-1032 J...

We consider the problem of d-dimensional searching (d ≥ 3) for four query types: range, partial range, exact match and partial match searching. Let N be the number of points, s be the number of keys specified in a partial match and partial range query and t be the number of points retrieved. We present a data structure with worst case time complexities O(t + logd−2 N), O(t + (d − s) + log N), O...

The Einstein-Maxwell equations in D-dimensions admitting (D−3) commuting Killing vector fields have been investigated. The existence of the electric, magnetic and twist potentials have been proved. The system is formulated as the harmonic map coupled to gravity on three-dimensional base space generalizing the Ernst system in the four-dimensional stationary Einstein-Maxwell theory. Some classes ...

r. ewing, o. liev, r. lazarov and a. naumovich in [1] proposed a finite volume discretization for one dimensional biot poroelasticity system in multilayer domains. their discretization and exact solution are invalid. we derive valid discretization and exact solution. finally, our numerical solution is compared with known exact solution in discrete l2 norm.