Computing the number of realizations of a Laman graph. Extended abstract; the long version is arxiv: Richards , Hyundong Shin. Inverse Inequality Estimates with Symbolic Computation. Advances in Applied Mathematics SC ; Numerical Analysis math. Planar Linkages Following a Prescribed Motion.
Mathematics of Computation 86 , pages SC ; Computational Geometry cs. CG ; Robotics cs. RO ; Algebraic Geometry math. AG ; Rings and Algebras math. Mathematical Physics math-ph ; Statistical Mechanics cond-mat. Holonomic Tools for Basic Hypergeometric Functions. Christoph Koutschan , Peter Paule. Fundamental Laser Modes in Paraxial Optics: Manuel Kauers , Christoph Koutschan. SC ; Rings and Algebras math. This manuscript was accepted in December A Generalized Apagodu-Zeilberger Algorithm. Quantum Physics quant-ph ; Symbolic Computation cs. SC ; Mathematical Physics math-ph.
Stavros Garoufalidis , Christoph Koutschan. GT ; Symbolic Computation cs. Advanced Computer Algebra for Determinants. Christoph Koutschan , Thotsaporn "Aek" Thanatipanonda. Hyperdeterminantal relations among symmetric principal minors. Journal of algebra , 2 , p. Hosten , Serkan and Bernd Sturmfels: Computing the integer programming gap. Combinatorica , 27 3 , p. Toward the human genotope. Bulletin of mathematical biology , 69 8 , p. Affine buildings and tropical convexity.
Albanian journal of mathematics , 1 4 , p. The cyclohedron test for finding periodic genes in time course expression studies. Statistical applications in genetics and molecular biology , 6 1 , Pachter , Lior and Bernd Sturmfels: The mathematics of phylogenomics. SIAM review , 49 1 , p. The Newton polytope of the implicit equation. Moscow mathematical journal , 7 2 , p. Evolution on distributive lattices. Journal of theoretical biology , 2 , p. The maximum likelihood degree. American journal of mathematics , 3 , p.
Monomial dynamical systems over finite fields. Complex systems , 16 4 , p. Dewey , Colin N. Parametric alignment of Drosophila genomes. PLoS computational biology , 2 6 , p. On the toric algebra of graphical models. The annals of statistics , 34 3 , p.
Bestselling Series
Resultants in genetic linkage analysis. Journal of symbolic computation , 41 2 , p.
Minimizing polynomials via sum of squares over the gradient ideal. Mathematical programming , 3 , p. Pure and applied mathematics quarterly , 2 3 , p. Altmann , Klaus and Bernd Sturmfels: The graph of monomial ideals. Journal of pure and applied algebra , , p. Feichtner , Eva Maria and Bernd Sturmfels: Matroid polytopes, nested sets and Bergman fans.
Portugaliae mathematica , 62 4 , p. Algebraic geometry of Bayesian networks. Journal of symbolic computation , 39 , p. Solving the likelihood equations. Foundations of computational mathematics , 5 4 , p. Notices of the American Mathematical Society , 52 10 , p. Can biology lead to new theorems? Annual report of the Clay Mathematics Institute , , p. Toric ideals of phylogenetic invariants.
Journal of computational biology , 12 2 , p. Short rational functions for toric algebra and applications. Journal of symbolic computation , 38 2 , p. Develin , Mike and Bernd Sturmfels: Documenta mathematica , 9 , p. Erratum for 'Tropical convexity' [Doc. Haiman , Mark and Bernd Sturmfels: Journal of algebraic geometry , 13 4 , p. Parametric inference for biological sequence analysis.
Tropical geometry of statistical models. Advances in geometry , 4 3 , p. Sturmfels , Bernd and Josephine Yu: Classification of six-point metrics. The electronic journal of combinatorics , 11 1 , R Mathematical programming , 96 2 , p. Santos , Francisco and Bernd Sturmfels: Alexander duality in subdivisions of Lawrence polytopes.
Advances in geometry , 3 2 , p. Annales de l'Institut Fourier , 52 3 , p. Discrete and computational geometry , 27 1 , p. Dickenstein , Alicia and Bernd Sturmfels: Elimination theory in codimension 2. Journal of symbolic computation , 34 2 , p. Documenta mathematica , 7 , p. Syzygies of oriented matroids. Duke mathematical journal , 2 , p. Syzygies of unimodular Lawrence ideals. Compositio mathematica , 2 , p. Sottile , Frank and Bernd Sturmfels: A sagbi basis for the quantum Grassmannian. Generic and cogeneric monomial ideals. Journal of symbolic computation , 29 , p.
Four counterexamples in combinatorial algebraic geometry. Journal of algebra , 1 , p. Solving algebraic equations in terms of A-hypergeometric series. Discrete mathematics , , p. Onn , Shmuel and Bernd Sturmfels: Advances in applied mathematics , 23 1 , p. Hypergeometric polynomials and integer programming.
The search for rational A-hypergeometric functions. Mathematical research letters , 5 , p. Bayer , Dave and Bernd Sturmfels: Cellular resolutions of monomial modules. Journal of mathematical sciences , 5 1 , p. Diaconis , Persi and Bernd Sturmfels: Algebraic algorithms for sampling from conditional distributions.
International Scholarly Research Notices
The annals of statistics , 26 1 , p. Proceedings of the American Mathematical Society , 3 , p. Journal of symbolic computation , 26 6 , p. How to shell a monoid. Mathematische Annalen , 2 , p. Peeva , Irena and Bernd Sturmfels: Syzygies of codimension 2 lattice ideals. Mathematische Zeitschrift , 1 , p. Journal of the American Mathematical Society , 11 2 , p. Roos , Jan-Erik and Bernd Sturmfels: A toric ring with irrational Poincare-Betti series. Proceedings of the Japan Academy: Polynomial equations and convex polytopes. Fulton , William and Bernd Sturmfels: Intersection theory on toric varieties.
Topology , 36 2 , p. Computing Hopf bifurcations 1. SIAM journal on numerical analysis , 34 1 , p. Huber , Birkett and Bernd Sturmfels: Bernstein's theorem in affine space. Discrete and computational geometry , 17 2 , p. Hypergeometric polynomials and integer programming [Japanese]. Sturmfels , Bernd and Markus Wiegelmann: Applicable algebra in engineering, communication and computing , 8 4 , p.
Thomas , Rekha R. Variation of cost functions in integer programming. Mathematical programming , 77 2 , p. The polytope of all triangulations of a point configuration. Documenta mathematica , 1 , p. Eisenbud , David and Bernd Sturmfels: Duke mathematical journal , 84 1 , p.
Journal of algebra , 3 , p. Combinatorica , 15 3 , p. Intersection theory on spherical varieties. Journal of algebraic geometry , 4 1 , p. A polyhedral method for solving sparse polynomial systems. Mathematics of computation , 64 , p. Kalkbrener , Michael and Bernd Sturmfels: Initial complexes of prime ideals. Advances in mathematics , 2 , p. On vector partition functions. Bounds on degrees of projective schemes.
Mathematische Annalen , 1 , p. Billera , Louis J.
Approximate commutative algebra, Lorenzo Robbiano, John Abbott, editors
Cellular strings on polytopes. Proceedings of the American Mathematical Society , 2 , p. Finding sparse systems of parameters. Journal of pure and applied algebra , 94 2 , p. A note on lattice simplices and toric varieties. American journal of mathematics , 5 , p. A quantitative Steinitz' theorem. Viro's theorem for complete intersections. On the Newton polytope of the resultant. Sturmfels , Bernd and Andrey V. Multigraded resultants of Sylvester type. Duality and minors of secondary polyhedra.
Bland , Robert G. A nonextremal Camion basis. Minkowski addition of polytopes: SIAM journal on discrete mathematics , 6 2 , p. Pedersen , Paul and Bernd Sturmfels: Product formulas for resultants and Chow forms. Reeves , Alyson and Bernd Sturmfels: A note on polynomial reduction. Journal of symbolic computation , 16 3 , p. Maximal minors and their leading terms. Advances in mathematics , 98 1 , p.
Extension spaces of oriented matroids. Discrete and computational geometry , 10 1 , p. Annals of mathematics , 3 , p. Kapranov , Mikhail M. Chow polytopes and general resultants. Duke mathematical journal , 67 1 , p. Logar , Alessandro and Bernd Sturmfels: Algorithms for the Quillen-Suslin theorem.
Asymptotic analysis of toric ideals. Memoirs of the faculty of science, Kyushu University. Quotients of toric varieties. Kleinschmidt , Peter and Bernd Sturmfels: Smooth toric varieties with small Picard number are projective. Topology , 30 2 , p. On the topology and geometric construction of oriented matroids and convex polytopes.
- It Takes a Scandal (Scandals Book 2).
- Christoph Koutschan's articles on arXiv?
- Adolescenza e libertà (Italian Edition)?
Transactions of the American Mathematical Society , 1 , p. Computational algebraic geometry of projective configurations. Journal of symbolic computation , 11 , p. Tohoku mathematical journal , 43 2 , p. Sturmfels , Bernd and Neil L. Computing combinatorial decompositions of rings. Combinatorica , 11 3 , p. Sturmfels , Bernd and Walter Whiteley: On the synthetic factorization of projectively invariant polynomials. Bayer , Margaret and Bernd Sturmfels: Canadian journal of mathematics , 42 1 , p.
Constructions and complexity of secondary polytopes. Advances in mathematics , 83 2 , p. Nonrealizability proofs in computational geometry. Discrete and computational geometry , 5 4 , p. Lecture Notes in Computer Science, Automated deduction in geometry. Edited by Hoon Hong and Dongming Wang.
Lecture Notes in Artificial Intelligence. Computer algebra in scientific computing. Edited by Victor G. Mayr and Evgenii V. With a foreword by B. Algorithms and Computation in Mathematics, 1. Graduate Texts in Mathematics, Martin Kreuzer, Lorenzo Robbiano, Computational commutative algebra. Victor Shoup, A computational introduction to number theory and algebra. Cambridge University Press, Cambridge, Algebraic statistics for computational biology. Edited by Lior Pachter and Bernd Sturmfels. Cambridge University Press, New York, Ezra Miller, Bernd Sturmfels, Combinatorial commutative algebra.
Springer-Verlag, New York, Foundations, algorithms, and applications. Edited by Alicia Dickenstein and Ioannis Z. Mora, Teo Solving polynomial equation systems. Macaulay's paradigm and Grbner technology. Encyclopedia of Mathematics and its Applications, Differential equations with symbolic computation. Edited by Dongming Wang and Zhiming Zheng. Birkhuser Verlag, Basel, Computational aspects of algebraic curves.
Edited by Tanush Shaska. Lecture Notes Series on Computing, World Scientific Publishing Co. Computational methods for algebraic spline surfaces. Edited by Tor Dokken and Bert Juettler. Stetter, Numerical polynomial algebra. Edited by Falai Chen and Dongming Wang. Wang, Dongming Elimination practice.
Software tools and applications. Imperial College Press, London, Computational paths to discovery.
SIGSAM Book List
Borwein, Jonathan; Bailey, David Mathematics by experiment. Plausible reasoning in the 21st century. Multidimensional systems theory and applications. With contributions by B. Kluwer Academic Publishers, Dordrecht, Algorithmic and quantitative real algebraic geometry. Encyclopaedia of Mathematical Sciences, Proceedings of the 1st International Conference held in Beijing, August , Edited by Arjeh M.