Position and Orientation Distributions for Non-Reversal Random Walks using Space-Group Fourier Transforms
Explore this paper's citation graph
Summary
An efficient group-theoretic approach for computing the statistics of non-reversal random walks (NRRW) on lattices using the corresponding concept of the fast Fourier transform for functions on crystallographic space groups together with a non-Abelian version of the convolution theorem.
- Type
- article
- Published
- 2010-04-30
- Cited by
- 4
- References
- 41
- Access
- Open access
- OpenAlex
- https://openalex.org/W137048261
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:21811576
Keywords
Convolution (computer science), Random walk, Fourier transform, Position (finance), Convolution theorem
References
- Intersections of random walks
- Simulation Methods for Polymers
- Efficient computation of the fourier transform on the finite groups
- Lectures on crystallographic groups
- Conformational Theory of Large Molecules: The Rotational Isomeric State Model in Macromolecular Systems
- The theory of unitary group representations
- Probability Measures on Locally Compact Groups
- Lattice Models of Polymers
- Drift and entropy growth for random walks on groups
- Aspects and applications of the random walk
- Torsional random walk statistics on lattices using convolution on crystallographic motion groups.
- Random Walks on Lattices. II
- Intramolecular Reaction in Polycondensations. I. The Theory of Linear Systems
- Moments of Chain Vectors for Models of Polymer Chains
- Numerical calculations of the irreducible representations of space groups
- Monte Carlo of Chains with Excluded Volume: a Way to Evade Sample Attrition
- Second and Fourth Moments of Chain Molecules
- On drift and entropy growth for random walks on groups
- Symmetric random walks on groups
- Monte Carlo simulations on the effects of nanoparticles on chain deformations and reinforcement in amorphous polyethylene networks