2nd ed. — Springer, 1999. — 444 p. What is Percolation? Some Basic Techniques. Critical Probabilities. The Number of Open Clusters per Vertex. Exponential Decay. The Subcritical Phase. Dynamic and Static Renormalization. The Supercritical Phase. Near the Critical Point: Scaling Theory. Near the Critical Point: Rigorous Results. Bond Percolation in Two Dimensions. Extensions of...
Springer, 1989. — 303 p. What Is Percolation? Some Basic Techniques. The Uniqueness of the Critical Point. The Number of Open Clusters per Vertex. The Subcritical Phase. The Supercritical Phase. Near the Critical Point: Scaling Theory. Near the Critical Point: Rigorous Results. Bond Percolation in Two Dimensions. A Miscellany of Random Processes. Appendices.
2nd ed. — Springer, 2009. — 333 p. Percolation Theory: Topology and Structure. Properties Relevant for Transport and Transport Applications. Porous Media Primer for Physicists. Specific Examples of Critical Path Analysis. Hydraulic and Electrical Conductivity: Conductivity Exponents and Critical Path Analysis. Other Transport Properties of Porous Media. Pressure–Saturation...
3rd edition, Springer International Publishing, Switzerland, 2014, 447 pages, ISBN: 3319037706 This monograph presents, for the first time, a unified and comprehensive introduction to some of the basic transport properties of porous media, such as electrical and hydraulic conductivity, air permeability and diffusion. The approach is based on critical path analysis and the...
Springer, 2005. — 212 p. Percolation Theory. Porous Media Primer for Physicists. Specific Examples of Critical Path Analysis. Basic Constitutive Relations for Unsaturated Media. Pressure Saturation Curves and the Critical Volume Fraction for Percolation. Applications of the Correlation Length. Applications of the Cluster Statistics. Effects of Multi-Scale Heterogeneity....
Springer, 2005. — 212 p. Percolation Theory. Porous Media Primer for Physicists. Specific Examples of Critical Path Analysis. Basic Constitutive Relations for Unsaturated Media. Pressure Saturation Curves and the Critical Volume Fraction for Percolation. Applications of the Correlation Length. Applications of the Cluster Statistics. Effects of Multi-Scale Heterogeneity....
Springer, 2024. — 221 p. — (Lecture Notes in Physics 1029). — ISBN 978-3-031-59899-9. Теория перколяции с использованием Python This course-based textbook delves into percolation theory, examining the physical properties of random media—materials characterized by varying sizes of holes and pores. The focus is on both the mathematical foundations and the computational and...
Springer, 2024. — 220 p. — (Lecture Notes in Physics, 1029). — ISBN 3031598997. This course-based textbook delves into percolation theory , examining the physical properties of random media―materials characterized by varying sizes of holes and pores . The focus is on both the mathematical foundations and the computational and statistical methods used in this field. Designed as...
Cambridge University Press, 1996. — 238 p. This book is the first systematic and rigorous account of continuum percolation. The authors treat two models, the Boolean model and the random connection model, in detail, and discuss a number of related continuum models. Where appropriate, they make clear the connections between discrete percolation and continuum percolation. All...
Cambridge University Press, 1996. — 238 p. This book is the first systematic and rigorous account of continuum percolation. The authors treat two models, the Boolean model and the random connection model, in detail, and discuss a number of related continuum models. Where appropriate, they make clear the connections between discrete percolation and continuum percolation. All...
CRC Press, 1994. — xiv, 258 p. — ISBN 0-7484-0075-3, 0-7484-0076-1. Over the past two decades percolation theory has been used to explain and model a wide variety of phenomena that are of industrial and scientific importance. Examples include characterization of porous materials and reservoir rocks, fracture patterns and earthquakes in rocks, calculation of effective transport...
2nd Edition. — Springer, 2023. — xxii, 680 p. — (Applied Mathematical Sciences, 213). — ISBN 978-3-031-20385-5, 978-3-031-20386-2. Over the past two decades percolation theory has been used to explain and model a wide variety of phenomena that are of industrial and scientific importance. Examples include characterization of porous materials and reservoir rocks, fracture...
Second Edition. Springer, 2021. — 448 p. — ISBN 978-1-0716-1456-3. Percolation theory describes the effects of the connectivity of microscopic or small-scale elements of a complex medium to its macroscopic or large-scale properties. It also describes the conditions under which there may be a continuously connected path of local elements across the medium. The point at which the...
2nd Revised Edition. — Taylor & Francis, 2003. — 180 p. This work dealing with percolation theory clustering, criticallity, diffusion, fractals and phase transitions takes a broad approach to the subject, covering basic theory and also specialized fields like disordered systems and renormalization groups. Introduction: Forest Fires, Fractal Oil Fields, and Diffusion. Cluster...
Taylor & Francis, 2003. - 180 p. This work dealing with percolation theory clustering, criticallity, diffusion, fractals and phase transitions takes a broad approach to the subject, covering basic theory and also specialized fields like disordered systems and renormalization groups.
Пер. с англ. — М.: Мир, 1986. — 392 с. Недавно получено строгое математическое решение трудных задач, связанных со свойствами компонент случайных графов, моделирующих разнообразные процессы физики и техники. Книга известного американского математика содержит последние результаты в этой области. Для научных работников, интересующихся вопросами теория вероятностей, теории графов...
М.: Мир, 1986. — 392 с. Недавно получено строгое математическое решение трудных задач, связанных со свойствами компонент случайных графов, моделирующих разнообразные процессы физики и техники. Книга известного американского математика содержит последние результаты в этой области. Для научных работников, интересующихся вопросами теория вероятностей, теории графов и...
Учебное пособие. — М.: Едиториал УРСС, 2002. — 112 с.: ил. Пособие посвящено различным аспектам теории перколяции - простейшей модели, описывающей фазовые переходы. Рассматриваются вопросы теории, приложения и алгоритмы для решения задач перколяции. Книга ориентирована на студентов старших курсов физико-математических специальностей, аспирантов и научных работников.
Учебное пособие. — М.: Едиториал УРСС, 2002. — 112 с.: ил. Пособие посвящено различным аспектам теории перколяции — простейшей модели, описывающей фазовые переходы. Рассматриваются вопросы теории, приложения и алгоритмы для решения задач перколяции. Книга ориентирована на студентов старших курсов физико-математических специальностей, аспирантов и научных работников....
Монография. — Пермь: Пермский государственный национальный исследовательский университет, 2024. — 86 с. В монографии представлены материалы исследований авторов в области изучения процессов перколяции и джемминга k -меров и блоков на квадратной решетке. Монография предназначена для научных и педагогических работников, преподавателей, аспирантов, магистрантов, студентов и всех,...
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