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 ...

In this note, we will give the recursive formulas for sample mean and sample variance, and their generalized forms for batch updates. @online{yang2022batch, title={Batch Recursive Formula for Variance ...

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.

In this paper, we derived a simple recursion formula for the volumes of moduli spaces of hyperbolic surfaces with boundaries. This formula reflects clearly that the volumes are polynomials. By ...

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: Welschinger invariants of the real projective plane can be computed via the enumeration of enriched graphs, called marked floor diagrams. By a purely combinatorial study of these objects, we ...