Lauren Williams
- First Proof
2026/02/05 by Mohammed Abouzaid, Andrew J. Blumberg, Martin Hairer +8 · 23 voices · 3 citations
#cs.AI #math.AG #math.CO #math.GT #math.HO #math.RA
- Faces of Generalized Permutohedra
2006/09/06 by Alexander Postnikov, Victor Reiner, Postnikov, Alexander +3 · 11 citations
Mathematics · Computer Science · #Mathematics and Applications #Advanced Combinatorial Mathematics #Computational Geometry and Mesh Generation
- Positivity for cluster algebras from surfaces
2009/06/03 by Gregg Musiker, Ralf Schiffler, Musiker, Gregg +3 · 7 citations
Mathematics · #05C70 #05E15 #16S99 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)
- KP solitons and total positivity for the Grassmannian
2011/05/31 by Yuji Kodama, Kodama, Yuji, Lauren Williams +1 · 6 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Nonlinear Photonic Systems
- Enumeration of totally positive Grassmann cells
2003/07/20 by Lauren K. Williams, Lauren Williams, Williams, Lauren K. · 3 citations
Mathematics · #05Axx #05Exx #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05Axx #msc:05Exx
- From multiline queues to Macdonald polynomials via the exclusion process
2018/11/02 by Sylvie Corteel, Corteel, Sylvie, Olya Mandelshtam +3 · 5 citations
Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Random Matrices and Applications #Stochastic processes and statistical mechanics
- Cluster algebras and tilings for the m=4 amplituhedron
2023/10/26 by Chaim Even‐Zohar, Even-Zohar, Chaim, Tsviqa Lakrec +9 · 5 citations
Computer Science · Engineering · Mathematics · #05E14 #13F60 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #graph theory and CDMA systems
- The Positive Bergman Complex of an Oriented Matroid
2004/06/07 by Federico Ardila, Caroline J. Klivans, Caroline Klivans +4 · 1 citation
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Polynomial and algebraic computation #math.CO
- A Markov chain on permutations which projects to the PASEP
2006/09/06 by Sylvie Corteel, Corteel, Sylvie, Lauren Williams +1 · 1 citation
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics
- Positroids and non-crossing partitions
2013/08/12 by Federico Ardila, Ardila, Federico, Felipe Rincón +3 · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Random Matrices and Applications #Topological and Geometric Data Analysis
- Matching polytopes, toric geometry, and the non-negative part of the Grassmannian
2007/06/17 by Alexander Postnikov, Postnikov, Alexander, David E Speyer +3 · 1 citation
Mathematics · #14P25 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
- Introduction to Cluster Algebras. Chapter 7
2021/06/03 by Sergey Fomin, Lauren Williams, Fomin, Sergey +3 · 1 citation
Materials Science · #13F60 #Combinatorics (math.CO) #FOS: Mathematics #Nanocluster Synthesis and Applications
- The Magic Number Conjecture for the m=2 amplituhedron and Parke-Taylor identities
2024/04/03 by Matteo Parisi, Melissa Sherman-Bennett, Parisi, Matteo +5 · 1 citation
Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Mathematical Dynamics and Fractals #Advanced Combinatorial Mathematics
- The inhomogeneous t-PushTASEP and Macdonald polynomials
2024/03/15 by Arvind Ayyer, Ayyer, Arvind, Jean Martin +3 · 1 citation
Mathematics · #05A05 #05A10 #05A19 #05E05 #05E10 #33D52 #60J10 #60K35 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)