[图书][B] Large deviations
F Hollander - 2000 - books.google.com
Offers an introduction to large deviations. This book is divided into two parts: theory and
applications. It presents basic large deviation theorems for iid sequences, Markov …
applications. It presents basic large deviation theorems for iid sequences, Markov …
[图书][B] The self-avoiding walk
A self-avoiding walk is a path on a lattice that does not visit the same site more than once. In
spite of this simple definition, many of the most basic questions about this model are difficult …
spite of this simple definition, many of the most basic questions about this model are difficult …
Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory
We reconsider the conceptual foundations of the renormalization-group (RG) formalism, and
prove some rigorous theorems on the regularity properties and possible pathologies of the …
prove some rigorous theorems on the regularity properties and possible pathologies of the …
Critical exponents, hyperscaling, and universal amplitude ratios for two-and three-dimensional self-avoiding walks
We make a high-precision Monte Carlo study of two-and three-dimensional self-avoiding
walks (SAWs) of length up to 80,000 steps, using the pivot algorithm and the Karp-Luby …
walks (SAWs) of length up to 80,000 steps, using the pivot algorithm and the Karp-Luby …
[图书][B] Progress in high-dimensional percolation and random graphs
M Heydenreich, R Van der Hofstad - 2017 - Springer
This book focuses on percolation on high-dimensional lattices. We give a general
introduction to percolation, stating the main results and defining the central objects. We …
introduction to percolation, stating the main results and defining the central objects. We …
Self-avoiding walk in five or more dimensions I. The critical behaviour
We use the lace expansion to study the standard self-avoiding walk in the d-dimensional
hypercubic lattice, for d≧ 5. We prove that the number cn of n-step self-avoiding walks …
hypercubic lattice, for d≧ 5. We prove that the number cn of n-step self-avoiding walks …
Monte Carlo methods for the self-avoiding walk
EJJ Van Rensburg - Journal of Physics A: Mathematical and …, 2009 - iopscience.iop.org
The numerical simulation of self-avoiding walks remains a significant component in the
study of random objects in lattices. In this review, I give a comprehensive overview of the …
study of random objects in lattices. In this review, I give a comprehensive overview of the …
Mean-field behavior for nearest-neighbor percolation in
R Fitzner, R van der Hofstad - 2017 - projecteuclid.org
We prove that nearest-neighbor percolation in dimensions d≧11 displays mean-field
behavior by proving that the infrared bound holds, in turn implying the finiteness of the …
behavior by proving that the infrared bound holds, in turn implying the finiteness of the …
[图书][B] Random polymers
F Hollander - 2009 - books.google.com
Polymer chains that interact with themselves and/or with their environment are fascinating
objects, displaying a range of interesting physical and chemical phenomena. The focus in …
objects, displaying a range of interesting physical and chemical phenomena. The focus in …
[图书][B] The statistical mechanics of interacting walks, polygons, animals and vesicles
EJJ Van Rensburg - 2015 - books.google.com
The self-avoiding walk is a classical model in statistical mechanics, probability theory and
mathematical physics. It is also a simple model of polymer entropy which is useful in …
mathematical physics. It is also a simple model of polymer entropy which is useful in …