2011, Contemporary mathematics, ISBN 9780821868980, Volume 552, viii, 224

Book

2016, Graduate studies in mathematics, ISBN 9780821848418, Volume 172, xi, 461

Random matrices (probabilistic aspects; for algebraic aspects see 15B52) | Equations of mathematical physics and other areas of application | Partial differential equations | Approximations and expansions | Probability theory and stochastic processes | Special matrices | Operator theory | Probability theory on algebraic and topological structures | Riemann-Hilbert problems | Exact enumeration problems, generating functions | Convex and discrete geometry | Special classes of linear operators | Combinatorics | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) | Time-dependent statistical mechanics (dynamic and nonequilibrium) | Enumerative combinatorics | Exactly solvable dynamic models | Linear and multilinear algebra; matrix theory | Special processes | Statistical mechanics, structure of matter | Toeplitz operators, Hankel operators, Wiener-Hopf operators | Tilings in $2$ dimensions | Interacting random processes; statistical mechanics type models; percolation theory | Discrete geometry | Random matrices | Combinatorial analysis

Book

2013, Mathematical surveys and monographs, ISBN 9781470410490, Volume no. 194., xvi, 189

Book

2017, Second edition., ISBN 1470429624, xvi, 447 pages

Book

Progress in polymer science, ISSN 0079-6700, 2016, Volume 61, pp. 1 - 28

Thermal conductivity has become an important parameter for new technologies, especially in aerospace and aeronautics. The advanced materials used in some...

Thermal conductivity | Composites | Mechanisms | Enhancement | POLYMER SCIENCE | ELECTRICAL-CONDUCTIVITY | FILLED EPOXY | WALLED CARBON NANOTUBES | SINGLE-WALL | PERCOLATION-THRESHOLD | EPOXY-MATRIX COMPOSITES | BORON-NITRIDE | FINITE-ELEMENT | ALUMINUM NITRIDE | POLYMER COMPOSITES | Analysis | Force and energy | Parameters | Mathematical analysis | Scattering | Aeronautics | Crystallinity | Avionics | Heat transfer | Engineering Sciences | Physics

Thermal conductivity | Composites | Mechanisms | Enhancement | POLYMER SCIENCE | ELECTRICAL-CONDUCTIVITY | FILLED EPOXY | WALLED CARBON NANOTUBES | SINGLE-WALL | PERCOLATION-THRESHOLD | EPOXY-MATRIX COMPOSITES | BORON-NITRIDE | FINITE-ELEMENT | ALUMINUM NITRIDE | POLYMER COMPOSITES | Analysis | Force and energy | Parameters | Mathematical analysis | Scattering | Aeronautics | Crystallinity | Avionics | Heat transfer | Engineering Sciences | Physics

Journal Article

Physics reports, ISSN 0370-1573, 2015, Volume 578, pp. 1 - 32

.... Despite its very simple rules, percolation theory has successfully been applied to describe a large variety of natural, technological and social systems...

Earth topography | Percolation | Ising model | Explosive percolation | SLE | DENSITY SERIES EXPANSIONS | OPTIMAL CHANNEL NETWORKS | PHYSICS, MULTIDISCIPLINARY | RANDOM GAUSSIAN SURFACES | MOLECULAR-SIZE DISTRIBUTION | RANDOM-CLUSTER MODEL | FOREST-FIRE MODEL | RANGE CORRELATED PERCOLATION | BOOTSTRAP PERCOLATION | URBAN-GROWTH PATTERNS | 3D ISING-MODEL | Physics - Statistical Mechanics

Earth topography | Percolation | Ising model | Explosive percolation | SLE | DENSITY SERIES EXPANSIONS | OPTIMAL CHANNEL NETWORKS | PHYSICS, MULTIDISCIPLINARY | RANDOM GAUSSIAN SURFACES | MOLECULAR-SIZE DISTRIBUTION | RANDOM-CLUSTER MODEL | FOREST-FIRE MODEL | RANGE CORRELATED PERCOLATION | BOOTSTRAP PERCOLATION | URBAN-GROWTH PATTERNS | 3D ISING-MODEL | Physics - Statistical Mechanics

Journal Article

2015, Graduate studies in mathematics, ISBN 9780821875780, Volume 162, xiv, 318

Book

Advanced materials (Weinheim), ISSN 0935-9648, 2011, Volume 23, Issue 30, pp. 3356 - 3362

Band theory for inorganic materials versus hopping or percolation theory for organics...

Electronics | Percolation theory | Band theory | Organic electronics | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | TRAPS | SEMICONDUCTORS | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHARGE-TRANSPORT | CHEMISTRY, PHYSICAL | MODELING ELECTRICAL CHARACTERISTICS | NANOSCIENCE & NANOTECHNOLOGY | CHEMISTRY, MULTIDISCIPLINARY | FIELD-EFFECT TRANSISTORS | DEPENDENCE | DISTRIBUTIONS | FILMS | EFFECT MOBILITY | CONDUCTION | Electron Transport | Quantum Theory | Temperature | Organic Chemicals - chemistry

Electronics | Percolation theory | Band theory | Organic electronics | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | TRAPS | SEMICONDUCTORS | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHARGE-TRANSPORT | CHEMISTRY, PHYSICAL | MODELING ELECTRICAL CHARACTERISTICS | NANOSCIENCE & NANOTECHNOLOGY | CHEMISTRY, MULTIDISCIPLINARY | FIELD-EFFECT TRANSISTORS | DEPENDENCE | DISTRIBUTIONS | FILMS | EFFECT MOBILITY | CONDUCTION | Electron Transport | Quantum Theory | Temperature | Organic Chemicals - chemistry

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2013, Volume 46, Issue 49, pp. 494006 - 72

This article aims to review a selection of central topics and examples in logarithmic conformal field theory...

MODULAR INVARIANT REPRESENTATIONS | SL(2,R) WZW MODEL | FUSION RULES | SIGMA-MODELS | PHYSICS, MULTIDISCIPLINARY | IRREDUCIBLE MODULES | MINIMAL MODELS | CRITICAL PERCOLATION | PARTITION-FUNCTIONS | ADMISSIBLE REPRESENTATIONS | PHYSICS, MATHEMATICAL | CROSSING PROBABILITY | Couplings | Algorithms | Mathematical analysis | Modules | Percolation | Constants | Field theory | Boundaries | Formalism | Physics - High Energy Physics - Theory

MODULAR INVARIANT REPRESENTATIONS | SL(2,R) WZW MODEL | FUSION RULES | SIGMA-MODELS | PHYSICS, MULTIDISCIPLINARY | IRREDUCIBLE MODULES | MINIMAL MODELS | CRITICAL PERCOLATION | PARTITION-FUNCTIONS | ADMISSIBLE REPRESENTATIONS | PHYSICS, MATHEMATICAL | CROSSING PROBABILITY | Couplings | Algorithms | Mathematical analysis | Modules | Percolation | Constants | Field theory | Boundaries | Formalism | Physics - High Energy Physics - Theory

Journal Article

Reliability Engineering and System Safety, ISSN 0951-8320, 10/2015, Volume 142, pp. 556 - 562

In this paper, we propose a new way of looking at the reliability of a network using percolation theory...

Percolation theory | Network reliability | Random network | Phase transition | Criticality | CELLULAR-AUTOMATA | COMPLEX | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SAFETY | FAILURES | STOCHASTIC-FLOW | ENGINEERING, INDUSTRIAL | Networks | Data buses | Thresholds | Percolation | Reliability analysis | Criteria | Failure | Engineering Sciences | Electric power

Percolation theory | Network reliability | Random network | Phase transition | Criticality | CELLULAR-AUTOMATA | COMPLEX | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SAFETY | FAILURES | STOCHASTIC-FLOW | ENGINEERING, INDUSTRIAL | Networks | Data buses | Thresholds | Percolation | Reliability analysis | Criteria | Failure | Engineering Sciences | Electric power

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 02/2010, Volume 81, Issue 2, p. 021130

The minimum spanning tree (MST) is a combinatorial optimization problem: given a connected graph with a real weight ("cost") on each edge, find the spanning...

INVASION PERCOLATION | ASYMPTOTICS | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | GEOMETRY

INVASION PERCOLATION | ASYMPTOTICS | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | GEOMETRY

Journal Article

The journal of high energy physics, ISSN 1029-8479, 2015, Volume 2015, Issue 5, pp. 1 - 76

The periodic sâ„“(2|1) alternating spin chain encodes (some of) the properties of hulls of percolation clusters, and is described in the continuum limit by a logarithmic conformal field theory (LCFT...

Lattice Integrable Models | Quantum Groups | Field Theories in Lower Dimensions | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MODULES | REPRESENTATIONS | MODELS | FUSION ALGEBRAS | PERCOLATION | ALGEBRAIC APPROACH | PHYSICS, PARTICLES & FIELDS | Mathematics - Quantum Algebra | Mathematical Physics | Nuclear and High Energy Physics | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory | Mathematics - Representation Theory

Lattice Integrable Models | Quantum Groups | Field Theories in Lower Dimensions | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MODULES | REPRESENTATIONS | MODELS | FUSION ALGEBRAS | PERCOLATION | ALGEBRAIC APPROACH | PHYSICS, PARTICLES & FIELDS | Mathematics - Quantum Algebra | Mathematical Physics | Nuclear and High Energy Physics | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory | Mathematics - Representation Theory

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2007, Volume 53, Issue 3, pp. 1009 - 1018

An achievable bit rate per source-destination pair in a wireless network of n randomly located nodes is determined adopting the scaling limit approach of...

percolation theory | Spine | Scattering | Interference | Ad-hoc networks | Probability | Decoding | Relays | Physics | capacity | Time division multiple access | Wireless networks | Bit rate | scaling laws | throughput | Percolation theory | Throughput | Capacity | Scaling laws | ad-hoc networks | COMPUTER SCIENCE, INFORMATION SYSTEMS | wireless networks | MODEL | ENGINEERING, ELECTRICAL & ELECTRONIC | Mobile communication systems | Wireless communication systems | Scaling laws (Statistical physics) | Analysis | Wireless communication | Networks | Relaying | Percolation | Strategy

percolation theory | Spine | Scattering | Interference | Ad-hoc networks | Probability | Decoding | Relays | Physics | capacity | Time division multiple access | Wireless networks | Bit rate | scaling laws | throughput | Percolation theory | Throughput | Capacity | Scaling laws | ad-hoc networks | COMPUTER SCIENCE, INFORMATION SYSTEMS | wireless networks | MODEL | ENGINEERING, ELECTRICAL & ELECTRONIC | Mobile communication systems | Wireless communication systems | Scaling laws (Statistical physics) | Analysis | Wireless communication | Networks | Relaying | Percolation | Strategy

Journal Article

The journal of high energy physics, ISSN 1029-8479, 2019, Volume 2019, Issue 1, pp. 1 - 87

We revisit in this paper the problem of connectivity correlations in the Fortuin-Kasteleyn cluster representation of the two-dimensional Q-state Potts model conformal field theory. In a recent work [1...

Lattice Integrable Models | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | POLYMERS | MATRIX | FIELD-THEORY | PERCOLATION | OPERATOR CONTENT | CONFORMAL-INVARIANCE | SYMMETRY | CRITICAL-BEHAVIOR | PARTITION-FUNCTION | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Correlation analysis | Two dimensional models | Mathematical models | Spectra | Field theory | Weight | Cylinders

Lattice Integrable Models | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | POLYMERS | MATRIX | FIELD-THEORY | PERCOLATION | OPERATOR CONTENT | CONFORMAL-INVARIANCE | SYMMETRY | CRITICAL-BEHAVIOR | PARTITION-FUNCTION | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Correlation analysis | Two dimensional models | Mathematical models | Spectra | Field theory | Weight | Cylinders

Journal Article