[图书][B] Lectures on Quantum Field Theory and Functional Integration
Z Haba - 2023 - Springer
The purpose of most textbooks on quantum field theory (QFT) is a development of a theory
for a description of elementary particles. We have a modest aim: to describe methods that …
for a description of elementary particles. We have a modest aim: to describe methods that …
Existence, renormalization, and regularity properties of higher order derivatives of self-intersection local time of fractional Brownian motion
K Das, G Markowsky - Stochastic Analysis and Applications, 2022 - Taylor & Francis
In a recent paper by Yu (arXiv: 2008.05633, 2020), higher order derivatives of self-
intersection local time of fractional Brownian motion were defined, and existence over …
intersection local time of fractional Brownian motion were defined, and existence over …
Brownian and fractional polymers with self-repulsion
S Eleutério, RV Mendes - Physics of Fluids, 2024 - pubs.aip.org
Brownian and fractional processes are useful computational tools for the modeling of
physical phenomena. Here, modeling linear homopolymers in a solution as Brownian or …
physical phenomena. Here, modeling linear homopolymers in a solution as Brownian or …
Random Knotting in Fractal Ring Polymers
PM Rauscher, JJ de Pablo - Macromolecules, 2022 - ACS Publications
Many ring polymer systems of physical and biological interest exhibit both pronounced
topological effects and nontrivial self-similarity, but the relationship between these two …
topological effects and nontrivial self-similarity, but the relationship between these two …
Scaling properties of weakly self-avoiding fractional brownian motion in one dimension
We use an off-lattice discretization of fractional Brownian motion (fBm) and a Metropolis
algorithm to determine the asymptotic scaling of this discretized fBm under the influence of …
algorithm to determine the asymptotic scaling of this discretized fBm under the influence of …
Stochastic quantization of the three-dimensional polymer measure via the Dirichlet form method
S Albeverio, S Kusuoka, S Liang… - arXiv preprint arXiv …, 2023 - arxiv.org
We prove that there exists a diffusion process whose invariant measure is the three
dimensional polymer measure $\nu_\lambda $ for small $\lambda> 0$. We follow in part a …
dimensional polymer measure $\nu_\lambda $ for small $\lambda> 0$. We follow in part a …
On the radius of self-repellent fractional Brownian motion
We study the radius of gyration RT of a self-repellent fractional Brownian motion B t H 0≤ t≤
T taking values in R d. Our sharpest result is for d= 1, where we find that with high …
T taking values in R d. Our sharpest result is for d= 1, where we find that with high …
Local times for multifractional Brownian motion in higher dimensions: A white noise approach
We present the expansion of the multifractional Brownian motion (mBm) local time in higher
dimensions, in terms of Wick powers of white noises (or multiple Wiener integrals). If a …
dimensions, in terms of Wick powers of white noises (or multiple Wiener integrals). If a …
Self-repelling fractional Brownian motion-a generalized Edwards model for chain polymers
J Bornales, MJ Oliveira, L Streit - Quantum Bio-Informatics V, 2013 - World Scientific
Quantum Bio-Informatics V : SELF-REPELLING FRACTIONAL BROWNIAN MOTION - A
GENERALIZED EDWARDS MODEL FOR CHAIN POLYMERS Page 1 389 SELF-REPELLING …
GENERALIZED EDWARDS MODEL FOR CHAIN POLYMERS Page 1 389 SELF-REPELLING …
Analysis of stochastic quantization for the fractional Edwards measure
W Bock, JL da Silva, T Fattler - Reports on Mathematical Physics, 2018 - Elsevier
In [10] the existence of a diffusion process whose invariant measure is the fractional polymer
or Edwards measure for fractional Brownian motion in dimension d∈ ℕ with Hurst …
or Edwards measure for fractional Brownian motion in dimension d∈ ℕ with Hurst …