(choose chronological order)
Publications on Quantum Algorithms:
S. Boettcher, S. Falkner, and R. Portugal
Publications on Spin Glasses:
Finite-Size Corrections for Ground States of Edwards-Anderson Spin Glasses,
Fixed Point Properties of the Ising Ferromagnet on the Hanoi Networks,
Low-Temperature Phase Boundary of dilute Lattice Spin Glasses,
Exact Enumeration of Ground States in the Sherrington-Kirkpatrick Spin Glass,
Reduction of Two-Dimensional Dilute Ising Spin Glasses,
Obtaining Stiffness Exponents from Bond-diluted Lattice Spin Glasses,
Publications on Optimization:
Optimal Vertex Cover for the Small-World Hanoi Networks,
Conjecture on the maximum cut and bisection width in random regular graphs,
Analysis of the Karmarkar-Karp Differencing Algorithm,
The Peculiar Phase Structure of Random Graph Bisection,
Comparing Extremal and Thermal Explorations of Energy Landscapes,
Random Constraint Satisfaction Problems: Definition and Connection with Computational Complexity,
Extremal Optimization at the Phase Transition of the 3-Coloring Problem,
Extremal Optimization: an Evolutionary Local-Search Algorithm,
Jamming Model for the Extremal Optimization Heuristic,
Extremal Optimization: Heuristics via Co-Evolutionary Avalanches,
Optimizing through Co-Evolutionary Avalanches,
Combining local search with co-evolution in a remarkably simple way,
Extremal Optimization: Methods derived from Co-Evolution,
``Optimizing Partitions of Percolating Graphs,''
Publications on Complex Dynamics:
Classification of Critical Phenomena having a Parameter-Dependent Renormalization,
Ordinary Percolation with Discontinuous Transitions,
Accumulation of beneficial mutations in one dimension,
Quantum Transport through Hierarchical Structures,
Optimization of transport protocols with path-length constraints in complex networks,
Small-World Bonds and Patchy Percolation on the Hanoi Network,
Totally Asymmetric Exclusion Process with Hierarchical Long-Range Connections,
Hierarchical Regular Small-World Networks,
Interoccurrence Times in the Bak-Tang-Wiesenfeld Sandpile Model: A Comparison with the Observed Statistics of Solar Flares,
dc=4 is the upper critical dimension for the Bak-Sneppen model,
Life and Times of an Avalanche,
Avalanches and Waves in the Abelian Sandpile Model,
Punctuated Equilibria and Self-Organized Criticality in Evolution,
Broad Universality in Self-Organized Critical Phenomena,
Universality in Sand Piles, Interface Depinning, and Earthquake Models,
Ultrametricity and Memory in a Solvable Model of Self-Organized Criticality,
Publications on PT-Symmetry:
Two-Point Green's Function in PT-Symmetric Theories,
Bound states of non-Hermitian quantum field theories,
Double-Scaling Limit of a Broken Symmetry Quantum Field Theory in dimensions D<2,
Conjecture on the Interlacing of Zeros in Complex Sturm-Liouville Problems,
Complex Square Well --- A New Exactly Solvable Quantum Mechanical Model,
PT-Symmetric Quantum Mechanics,
Real Spectra in Non-Hermitian Hamiltonian having PT Symmetry,
Publications on Random Walks:
Geometry and Dynamics for Hierarchical Regular Networks,
Spherically Symmetric Random and Polymer Adsorption at a Hyperspherical Boundary,
Spherically Symmetric Random Walks and Dimensionally Dependent Critical Behavior,
Universality in Random Walk Models with Birth and Death,
Random Walks on Hyperspheres,
Spherically Symmetric Random Walks in Noninteger Dimension,
Publications on QFT:
Spontaneous Breaking of Flavor Symmetry and Parity in the Nambu-Jona-Lasinio Model with Wilson Fermions,
``Green's Functions of Quantum Field Theory in Arbitrary Space-Time Dimensions,''
Determination of f(∞) from the Asymptotic Series for f(x) about x=0,
Dimensional Expansion for the Ising Limit of Quantum Field Theory,
``The δ-Expansion in Quantum Field Theory,''
``Almost Zero-Dimensional Quantum Field Theory,''
``δ-Expansion Applied to Quantum Electrodynamics,''
``A New Perturbative Approach to Nonlinear Partial Differential Equations,''
``Nonperturbative Square-Well Approximation to a Quantum Theory,''
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