Publications on Spin Glasses:

Stiffness of the Edwards-Anderson Model in all Dimensions,
S. Boettcher,
Physical Review Letters 95, 197205 (2005).

Exact Enumeration of Ground States in the Sherrington-Kirkpatrick Spin Glass,
S. Boettcher and T. M. Kott,
Physical Review B 72, 212408 (2005).

Reduction of Two-Dimensional Dilute Ising Spin Glasses,
S. Boettcher and A. K. Hartmann,
Physical Review B 72, 014429 (2005).

Extremal Optimization for Sherrington-Kirkpatrick Spin Glasses,
S. Boettcher,
European Physics Journal B 46, 501-505 (2005).
(DEMO)

Obtaining Stiffness Exponents from Bond-diluted Lattice Spin Glasses,
S. Boettcher and S. E. Cooke,
Physical Review B 71, 214409 (2005).

Low-Temperature Excitations of Dilute Lattice Spin Glasses,
S. Boettcher,
Europhysics Letters 67, 453-459 (2004).

Stiffness Exponents for Lattice Spin Glasses in Dimensions d=3,...,6,
S. Boettcher,
European Physics Journal B 38, 83-91 (2004).

Reduction of Spin Glasses applied to the Migdal-Kadanoff Hierarchical Lattice,
S. Boettcher,
European Physics Journal B 33, 439-445 (2003).

Numerical Results for Ground States of Mean-Field Spin Glasses at low Connectivities,
S. Boettcher,
Physical Review B 67, Rapid Communications 060403 (2003).

Numerical Results for Ground States of Spin Glasses on Bethe Lattices,
S. Boettcher,
European Physics Journal B 31, 29-39 (2003).

Optimization with Extremal Dynamics,
S. Boettcher and A. G. Percus,
Physical Review Letters 86, 5211-5214 (2001).
(DEMO)

Publications on Optimization:

Optimizing at the Ergodic Edge,
S. Boettcher and M. J. Frank,
Physica A (in press).

Extremal Optimization for Sherrington-Kirkpatrick Spin Glasses,
S. Boettcher,
European Physics Journal B 46, 501-505 (2005).
(DEMO)

Obtaining Stiffness Exponents from Bond-diluted Lattice Spin Glasses,
S. Boettcher and S. E. Cooke,
Physical Review B 71, 214409 (2005).

Comparing Extremal and Thermal Explorations of Energy Landscapes,
S. Boettcher and P. Sibani,
European Physics Journal B 44, 317-326 (2005).

Random Constraint Satisfaction Problems: Definition and Connection with Computational Complexity,
G. Istrate, S. Boettcher, and A. G. Percus,
Annals of Mathematics and Artificial Intelligence 44, 353-372 (2005).

Extremal Optimization at the Phase Transition of the 3-Coloring Problem,
S. Boettcher and A. G. Percus,
Physical Review E 69, 066703 (2004).

Extremal Optimization: an Evolutionary Local-Search Algorithm,
S. Boettcher and A. G. Percus,
in Computational Modeling and Problem Solving in the Networked World, eds. H. M. Bhargava and N. Ye (Kluver, Boston, 2003).

Jamming Model for the Extremal Optimization Heuristic,
S. Boettcher and M. Grigni,
Journal of Physics A: Math. Gen. 35, 1109-1123 (2002)

Extremal Optimization for Graph Partitioning,
S. Boettcher and A. G. Percus,
Physical Review E 64, 026114 (2001).

Optimization with Extremal Dynamics,
S. Boettcher and A. G. Percus,
Physical Review Letters 86, 5211-5214 (2001).
(DEMO)

Extremal Optimization: Heuristics via Co-Evolutionary Avalanches,
S. Boettcher,
Computing in Science and Engineering 2, No. 6 (2000) 75-82.
Copyright©2000 by the IEEE.

Optimizing through Co-Evolutionary Avalanches,
S. Boettcher, A. G. Percus, and M. Grigni,
Lecture Notes in Computer Science 1917, 447-456 (2000).

Combining local search with co-evolution in a remarkably simple way,
S. Boettcher and A. G. Percus,
Proceedings of the 2000 Congress on Evolutionary Computation, 1578-1584 (2000).
Copyright © 2000 by the IEEE.

Nature's Way of Optimizing,
S. Boettcher and A. G. Percus,
Artificial Intelligence 119, 275-286 (2000).
(DEMO)

Extremal Optimization: Methods derived from Co-Evolution,
S. Boettcher and A. G. Percus,
In GECCO-99: Proceedings of the Genetic and Evolutionary Computation Conference (Morgan Kaufmann, San Francisco, 1999), 825-832.

Extremal Optimization of Graph Partitioning at the Percolation Threshold,
S. Boettcher,
Journal of Physics A 32, 5201-5211 (1999).

``Optimizing Partitions of Percolating Graphs,''
S. Boettcher,
Physica A 266, 100-103 (1999).

Publications on Complex Dynamics:

Tetris Model for Granular Drag,
T. M. Kott and S. Boettcher,
Europhysics Letters (submitted).

Interoccurrence Times in the Bak-Tang-Wiesenfeld Sandpile Model: A Comparison with the Observed Statistics of Solar Flares,
M. Paczuski, S. Boettcher, and M. Baiesi,
Physical Review Letters 95, 181102 (2005).

d_c=4 is the upper critical dimension for the Bak-Sneppen model,
S. Boettcher and M. Paczuski,
Physical Review Letters 84, 2267-2270 (2000).

Life and Times of an Avalanche,
S. Boettcher,
Physica A 266, 330-333 (1999).

Aging in a Model of Self-Organized Criticality,
S. Boettcher and M. Paczuski,
Physical Review Letters 79, 889 (1997).

Aging Exponents in Self-Organized Criticality,
S. Boettcher,
Physical Review E 56, 6466 (1997).

Avalanches and Waves in the Abelian Sandpile Model,
M. Paczuski and S. Boettcher,
Physical Review E 56, Rapid Communications 3745 (1997).

Punctuated Equilibria and Self-Organized Criticality in Evolution,
P. Bak and S. Boettcher,
Physica D 107, 143 (1997).

Broad Universality in Self-Organized Critical Phenomena,
S. Boettcher and M. Paczuski,
Physica D 107, 171 (1997).

Universality in Sand Piles, Interface Depinning, and Earthquake Models,
M. Paczuski and S. Boettcher,
Physical Review Letters 77, 111 (1996).

Ultrametricity and Memory in a Solvable Model of Self-Organized Criticality,
S. Boettcher and M. Paczuski,
Physical Review E 54, 1082 (1996).

Exact Results for Spatio-Temporal Correlations in a Self-Organized Critical Model of Punctuated Equilibrium,
S. Boettcher and M. Paczuski,
Physical Review Letters 76, 348 (1996).
(DEMO)

Publications on PT-Symmetry:

Two-Point Green's Function in PT-Symmetric Theories,
C. M. Bender, S. Boettcher, P. N. Meisinger, and Q. Wang,
Physics Letters A 302, 286-290, (2002)

Bound states of non-Hermitian quantum field theories,
C. M. Bender, S. Boettcher, H. F. Jones, P. N. Meisinger, and M. Simsek,
Physics Letters A 291, 197-202 (2001)

Double-Scaling Limit of a Broken Symmetry Quantum Field Theory in dimensions D<2,
C. M. Bender, S. Boettcher, H. F. Jones, and P. N. Meisinger,
Journal of Mathematical Physics 42, 1960-1973 (2001)

Conjecture on the Interlacing of Zeros in Complex Sturm-Liouville Problems,
C. M. Bender, S. Boettcher, and Van M. Savage,
Journal of Mathematical Physics 41, 6381-6387 (2000)

Complex Square Well --- A New Exactly Solvable Quantum Mechanical Model,
C. M. Bender, S. Boettcher, H. F. Jones, and Van M. Savage,
Journal of Physics A 32, 6771-6781 (1999)

PT-Symmetric Quantum Mechanics,
C. M. Bender, S. Boettcher, and P. N. Meisinger,
Journal of Mathematical Physics 40, 2201-2229 (1999).

Real Spectra in Non-Hermitian Hamiltonian having PT Symmetry,
C. M. Bender and S. Boettcher,
Physical Review Letters 80, 5243 (1998).

Quasi-exactly solvable Quartic Potential,
C. M. Bender and S. Boettcher,
Journal of Physics A 31, L273-L277 (1998).

Publications on Random Walks:

Spherically Symmetric Random Walks and Polymer Adsorption at a Hyperspherical Boundary,
C. M. Bender, S. Boettcher, and P. N. Meisinger,
Physical Review E 54, 127 (1996).

Spherically Symmetric Random Walks and Dimensionally Dependent Critical Behavior,
C. M. Bender, S. Boettcher, and P. N. Meisinger,
Physical Review E 54, 112 (1996).

Universality in Random Walk Models with Birth and Death,
C. M. Bender, S. Boettcher, and P. N. Meisinger,
Physical Review Letters 75, 3210 (1995).

Polymer-Chain Adsorption Transition at a Cylindrical Boundary,
S. Boettcher,
Physical Review E 51, 3862 (1995).

Statistical Mechanics on Spherical Geometries,
S. Boettcher and M. Moshe,
Physical Review Letters 74, 2410 (1995).

Random Walks on Hyperspheres,
S. Boettcher,
Nuclear Physics B (Proc. Suppl.) 42, 908 (1995).

Spherically Symmetric Random Walks in Noninteger Dimension,
C. M. Bender, S. Boettcher, and M. Moshe,
Journal of Mathematical Physics 35, 4941 (1994)

Random Walks in Noninteger Dimension,
C. M. Bender, S. Boettcher, and L. R. Mead,
Journal of Mathematical Physics 35, 368 (1994).

Publications on QFT:

Eleventh-Order Calculation of Ising-Limit Green's Functions for Scalar Quantum Field Theory in Arbitrary Space-Time Dimension D,
C. M. Bender and S. Boettcher,
Physical Review D 51, 1875 (1995).

Spontaneous Breaking of Flavor Symmetry and Parity in the Nambu-Jona-Lasinio Model with Wilson Fermions,
S. Aoki, S. Boettcher, and A. Gocksch,
Physics Letters B331, 157 (1994).

``Green's Functions of Quantum Field Theory in Arbitrary Space-Time Dimensions,''
S. Boettcher,
in Proceedings of the DPF94 Meeting, ed. S. Seidel, (World Scientific, Singapore, 1995).

Determination of f(∞) from the Asymptotic Series for f(x) about x=0,
C. M. Bender and S. Boettcher,
Journal of Mathematical Physics 35, 1914 (1994).

Dimensional Expansion for the Ising Limit of Quantum Field Theory,
C. M. Bender and S. Boettcher,
Physical Review D 48, 4919 (1993).

``The δ-Expansion in Quantum Field Theory,''
S. Boettcher,
in Proceedings of the DPF92 Meeting, ed. C. H. Albright, P. H. Kasper, R. Raja, and J. Yoh (World Scientific, Singapore, 1993)

``Almost Zero-Dimensional Quantum Field Theory,''
C. M. Bender, S. Boettcher, and L. Lipatov,
Physical Review D 46, 5557 (1992).

``Dimensional Expansions,''
C. M. Bender, S. Boettcher, and L. Lipatov,
Physical Review Letters 68, 3674 (1992).

``δ-Expansion Applied to Quantum Electrodynamics,''
C. M. Bender, S. Boettcher, and K. A. Milton,
Physical Review D 45, 639 (1992).

``A New Perturbative Approach to Nonlinear Partial Differential Equations,''
C. M. Bender, S. Boettcher, and K. A. Milton,
Journal of Mathematical Physics 32, 3031 (1991)

``Nonperturbative Square-Well Approximation to a Quantum Theory,''
S. Boettcher and C. M. Bender,
Journal of Mathematical Physics 31, 2579 (1990).