- Quantum Walks and Interference without Translational Invariance,
S. Boettcher, S. Falkner, and R. Portugal
(submitted).
- Classification of Critical Phenomena having a Parameter-Dependent Renormalization,
S. Boettcher and C. T. Brunson
(submitted).
(Supplementary Material)
- Ordinary Percolation with Discontinuous Transitions,
S. Boettcher, V. Singh, and R. M. Ziff
Nature Communications 3, 787 (2012).
- Finite-Size Corrections for Ground States of Edwards-Anderson Spin Glasses,
S. Boettcher and S. Falkner,
EuroPhysics Letters 98, 47005 (2012).
- Asymptotics of Lagged Fibonacci Sequences,
S. Mertens and S. Boettcher
Journal of Integer Sequences, (to appear).
- Ground States of the Sherrington-Kirkpatrick Spin Glass with Levy Bonds,
S. Boettcher
Philosophical Magazine 92, 34 - 49 (2012, Special Issue for David Sherrington's 70th birthday).
- Quantum Search Algorithms on Hierarchical Networks,
F. L. Marquezino, R. Portugal, and S. Boettcher
IEEE Information Theory Workshop, 247 - 251 (2011).
- Renormalization group for critical phenomena in complex networks,
S. Boettcher and C. T. Brunson
Frontiers in Fractal Physiology 2, 102 (2011).
- Accumulation of beneficial mutations in one dimension,
J. Otwinowski and S. Boettcher
Physical Review E 84, 011925 (2011).
- Optimal Vertex Cover for the Small-World Hanoi Networks,
S. Boettcher and A. K. Hartmann
Physical Review E 84, 011108 (2011).
- Quantum Transport through Hierarchical Structures,
S. Boettcher, C. Varghese, and M. A. Novotny
Physical Review E 83, 041106 (2011).
- Fixed Point Properties of the Ising Ferromagnet on the Hanoi Networks,
S. Boettcher and C. T. Brunson
Physical Review E 83, 021103 (2011).
- Ageing in dense colloids as diffusion in the logarithm of time,
S. Boettcher and P. Sibani
Journal of Physics: Condensed Matter 23, 065103 (2011).
- Optimization of transport protocols with path-length constraints in complex networks,
J. J. Ramasco, M. S. de la Lama, E. Lopez, S. Boettcher,
Physical Review E 82, 036119 (2010).
- Simulations of Ground State Fluctuations in Mean-Field Ising Spin Glasses,
S. Boettcher
Journal of Statistical Mechanics, P07002 (2010).
- Numerical Results for Spin Glass Ground States on Bethe Lattices: Gaussian Bonds,
S. Boettcher
European Physical Journal B 74, 363 - 371 (2010).
- Conjecture on the maximum cut and bisection width in random regular graphs,
L. Zdeborova and S. Boettcher
Journal of Statistical Mechanics, P02020 (2010).
- Small-World Bonds and Patchy Percolation on the Hanoi Network,
S. Boettcher, J. L. Cook, and R. M. Ziff
Physical Review E 80, 041115 (2009).
- Totally Asymmetric Exclusion Process with Hierarchical Long-Range Connections,
J. Otwinowski and S. Boettcher,
Journal of Statistical Mechanics, P07010 (2009).
- Anomalous Diffusion on the Hanoi Networks,
S. Boettcher and B. Goncalves,
EuroPhysics Letters 84, 30002 (2008).
- Analysis of the Karmarkar-Karp Differencing Algorithm,
S. Boettcher and S. Mertens,
European Physics Journal B 65, 131-140 (2008).
- Geometry and Dynamics for Hierarchical Regular Networks,
S. Boettcher, B. Goncalves, and J. Azaret,
Journal of Physics A: Math. Theo. 41, 335003 (2008).
- Local field distributions in spin glasses,
S. Boettcher, H. G. Katzgraber, and D. Sherrington,
Journal of Physics A: Math. Theo. 41, 324007 (2008).
- Hierarchical Regular Small-World Networks,
S. Boettcher, B. Goncalves, and H. Guclu,
Journal of Physics A: Math. Theo. 41, 252001-FastTrack (2008) .
- Reduction of Dilute Ising Spin Glasses,
S. Boettcher and J. Davidheiser,
Physical Review B 77, 214432 (2008).
- Low-Temperature Phase Boundary of dilute Lattice Spin Glasses,
S. Boettcher and E. Marchetti,
Physical Review B77, 100405(Rapid Communication), (2008).
- Hysteretic Optimization For Spin Glasses,
B. Goncalves and S. Boettcher,
Journal of Statistical Mechanics, (2008) P01003.
- The Peculiar Phase Structure of Random Graph Bisection,
A. G. Percus, G. Istrate, B. Goncalves, R. Z. Sumi, and S. Boettcher,
Journal of Mathematical Physics 49, 125219 (2008).
- Optimizing at the Ergodic Edge,
S. Boettcher and M. J. Frank,
Physica A 367, 220-230 (2006).
- Spin Glass Stiffness in zero Dimensions,
S. Boettcher,
Journal of Physics A: Math. Gen. 39, 10641-10646 (2006).
- Stiffness of the Edwards-Anderson Model in all Dimensions,
S. Boettcher,
Physical Review Letters 95, 197205 (2005).
- 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).
- Extremal Optimization for Sherrington-Kirkpatrick Spin Glasses,
S. Boettcher,
European Physics Journal B 46, 501-505 (2005).
(DEMO)
- 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).
- 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).
- 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).
- 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)
- 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)
- 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)
- 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)
- dc=4 is the upper critical dimension for the Bak-Sneppen model,
S. Boettcher and M. Paczuski,
Physical Review Letters 84, 2267-2270 (2000).
- 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)
- 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).
- 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).
- Life and Times of an Avalanche,
S. Boettcher,
Physica A 266, 330-333 (1999).
- ``Optimizing Partitions of Percolating Graphs,''
S. Boettcher,
Physica A 266, 100-103 (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).
- 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).
- 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)
- Ultrametricity and Memory in a Solvable Model of Self-Organized Criticality,
S. Boettcher and M. Paczuski,
Physical Review E 54, 1082 (1996).
- Spherically Symmetric Random 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).
- 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).
- 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).
- 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).
- Dimensional Expansion for the Ising Limit of Quantum Field Theory,
C. M. Bender and S. Boettcher,
Physical Review D 48, 4919 (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).
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