After proposing lattice gauge field models in which the Migdal renormalization group recursion formulas are exact, we study the recursion formulas analytically. IfD is less than 4, it is shown that ...

This repository contains mathematical models inspired by the “Recursive Field” scientific math song. The song describes a pattern reminiscent of phyllotaxis (the arrangement of leaves or seeds) where ...

It is shown that the Migdal approximate-renormalization recursion formulas always bring the initial state into the high-temperature region for the U(1)-invariant models at the critical dimensions.

The probability distribution of the number of defaults plays an important role in pricing problems of multiple-name credit derivatives. When the group size gets large, it becomes increasingly ...

Abstract: In this paper, we present three order-recursive formulas for the Moore-Penrose pseudoinverses of matrices which are the improved and extended Greville formulas (1960). These new versions not ...

This paper presents recursive formulas which admit simultaneous tests of stability and evaluation of quadratic loss functions for linear discrete-time dynamical systems. The method admits a ...

Abstract: In this paper, we provide an algorithm for evaluating the system state distribution for any multi-state consecutive-k-out-of-n:G system including the decreasing multi-state G system, the ...

This document provides a convenient quick reference for the recursion formulas used to construct the generators for power series operations. All but the last two are taken directly from the McIlroy ...