Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman

Abstract

In the introduction to this volume, we discuss some of the highlights of the research career of Chuck Newman. This introduction is divided into two main sections, the first covering Chuck's work in statistical mechanics and the second his work in percolation theory, continuum scaling limits, and related topics.

38 pages (including many references), introduction to Festschrift in honor of C.M. Newman

References in corpus (59)

• The Random-Cluster Model
• Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
• Nature of the Spin Glass State
• Universal Finite Size Scaling Functions in the 3D Ising Spin Glass
• The Brownian web: Characterization and convergence
• Spin and link overlaps in 3-dimensional spin glasses
• Numerical Evidence for Spontaneously Broken Replica Symmetry in 3D Spin Glasses
• The critical behavior of three-dimensional Ising spin glass models
• Evidence for the droplet/scaling picture of spin glasses
• Integrable field theory and critical phenomena. The Ising model in a magnetic field
• Probing the Almeida-Thouless line away from the mean-field model
• Renormalization Group and Probability Theory
• The metastate approach to thermodynamic chaos
• Spatial Inhomogeneity and Thermodynamic Chaos
• Triviality of the Ground State Structure in Ising Spin Glasses
• Simplicity of State and Overlap Structure in Finite-Volume Realistic Spin Glasses
• Conformal radii for conformal loop ensembles
• Temperature and Disorder Chaos in Three-Dimensional Ising Spin Glasses
• Scaling Limits for Minimal and Random Spanning Trees in Two Dimensions
• Ground State Structure in a Highly Disordered Spin Glass Model
• Excursion decompositions for $\SLE$ and Watts' crossing formula
• Dynamics of trap models
• Blocking and Persistence in the Zero-Temperature Dynamics of Homogeneous and Disordered Ising Models
• Disorder chaos and multiple valleys in spin glasses
• On the Effects of a Bulk Perturbation on the Ground State of 3D Ising Spin Glasses
• Numerical investigation of the thermodynamic limit for ground states in models with quenched disorder
• On monochromatic arm exponents for 2D critical percolation
• Energetics and geometry of excitations in random systems
• On the Effects of Changing the Boundary Conditions on the Ground State of Ising Spin Glasses
• Ultrametricity in the Edwards-Anderson Model
• The importance of the Ising model
• Uniqueness of Ground States for Short-Range Spin Glasses in the Half-Plane
• The Full Scaling Limit of Two-Dimensional Critical Percolation
• Are There Incongruent Ground States in 2D Edwards-Anderson Spin Glasses?
• The Link Overlap and Finite Size Effects for the 3D Ising Spin Glass
• 1D Aging
• Evidence against a mean field description of short-range spin glasses revealed through thermal boundary conditions
• The Brownian Web
• Short-range Ising spin glasses: the metastate interpretation of replica symmetry breaking
• Interfaces (and Regional Congruence?) in Spin Glasses
• The Percolation Signature of the Spin Glass Transition
• Lack of Ultrametricity in the Low-Temperature phase of 3D Ising Spin Glasses
• The influence of critical behavior on the spin glass phase
• Some Applications of the Lee-Yang Theorem
• Ising (Conformal) Fields and Cluster Area Measures
• Finite-size critical scaling in Ising spin glasses in the mean-field regime
• Comment on "General Method to Determine Replica Symmetry Breaking Transitions"
• Which measures of spin-glass overlaps are informative?
• A shape theorem and semi-infinite geodesics for the Hammersley model with random weights
• Nonrealistic Behavior of Mean Field Spin Glasses
• The cumulative overlap distribution function in realistic spin glasses
• The Hausdorff dimension of the CLE gasket
• Connection probabilities for conformal loop ensembles
• Moderate deviations for the chemical distance in Bernoulli percolation
• Examples of nonpolygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models
• Calculus on manifolds of conformal maps and CFT
• Random loops and conformal field theory
• Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses
• Asymptotics for 2D critical and near-critical first-passage percolation