140 citations · 698 across the 38 of their papers we have counts for
38 papers
Study of Meta-Fibonacci Integer Sequences by Continuous Self-Referential Functional Equations
Klaus Pinn
I propose and investigate the use of continuous functional equations for the study of meta-Fibonacci integer sequences. This exploratory study includes three sequences with quite d…
Width of Rough Interfaces on Asymmetric Lattices
K. Pinn
I present a calculation of the interfacial width within the capillary wave (Gaussian) approximation. The calculation is done on rectangular lattices of size L_1 times L_2, with per…
Minimal Variance Hedging of Options with Student-t Underlying
K. Pinn
I explicitly work out closed form solutions for the optimal hedging strategies (in the sense of Bouchaud and Sornette) in the case of European call options, where the underlying is…
A Chaotic Cousin Of Conway's Recursive Sequence
K. Pinn
I study the recurrence D(n)= D(D(n-1))+D(n-1-D(n-2)), D(1)=D(2)=1. Its definition has some similarity to that of Conway's sequence defined through a(n)= a(a(n-1))+a(n-a(n-1)), a(1)…
Zeroes in the Complex Beta Plane Of 2D Ising Block Spin Boltzmannians
K. Pinn
Effective Boltzmannians in the sense of the block spin renormalization group are computed for the 2D Ising model. The blocking is done with majority and Kadanoff rules for blocks o…
Monte Carlo Algorithms For the Fully Frustrated XY Model
S. Grosse Pawig, K. Pinn
We investigate local update algorithms for the fully frustrated XY model on a square lattice. In addition to the standard updating procedures like the Metropolis or heat bath algor…