Unification of classical nucleation theories via a unified Itô-Stratonovich stochastic equation

Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation

In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreo...

Itô versus Stratonovich calculus in random population growth.

The context is the general stochastic differential equation (SDE) model dN/dt=N(g(N)+sigmaepsilon(t)) for population growth in a randomly fluctuating environment. Here, N=N(t) is the population size at time t, g(N) is the 'average' per capita growth rate (we work with a general almost arbitrary function g), and sigmaepsilon(t) is the effect of environmental fluctuations (sigma>0, epsilon(t) sta...

Supersymmetric Grand Unified Theories and Yukawa Unification

numerical solution of heun equation via linear stochastic differential equation

in this paper, we intend to solve special kind of ordinary differential equations which is called heun equations, by converting to a corresponding stochastic differential equation(s.d.e.). so, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this s.d.e. is solved by numerically methods. mo...

Gauge Coupling Unification from Unified Theories in Higher Dimensions

A two-stage framework for unification is proposed involving grand unification, supersymmetry and extra dimensions, leading to a prediction for the strong gauge coupling, αKK s = 0.118±0.004±0.003, which is more successful and precise than that obtained from conventional supersymmetric grand unification, αSGUT s = 0.130 ± 0.004 ± ∆SGUT. Orbifold breaking of the unified gauge group leads to a non...