Alin Bostan
- The complete Generating Function for Gessel Walks is Algebraic
2009/09/10 by Alin Bostan, Manuel Kauers, Bostan, Alin +1 · 4 citations
Computer Science · Mathematics · #05A15 #14N10 #33F10 #68W30 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Geometric and Algebraic Topology #Symbolic Computation (cs.SC) #semigroups and automata theory
- Hypergeometric Expressions for Generating Functions of Walks with Small\n Steps in the Quarter Plane
2016/06/09 by Alin Bostan, Frédéric Chyzak, Bostan, Alin +7 · 3 citations
Mathematics · #05A15 #11J89 (Secondary) #14N10 #33C05 #33F10 #68W30 (Primary) #97N80 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Stochastic processes and statistical mechanics #Symbolic Computation (cs.SC)
- Hermite Reduction and Creative Telescoping for Hyperexponential Functions
2013/01/21 by Alin Bostan, Shaoshi Chen, Bostan, Alin +7 · 3 citations
Computer Science · #Polynomial and algebraic computation #Logic, programming, and type systems #Numerical Methods and Algorithms
- Fast algorithms for differential equations in positive characteristic
2009/01/24 by Alin Bostan, Éric Schost, Bostan, Alin +1 · 1 citation
Engineering · Computer Science · Mathematics · #Advanced Numerical Analysis Techniques #Polynomial and algebraic computation #Algebraic Geometry and Number Theory
- On sequences associated to the invariant theory of rank two simple Lie algebras
2019/11/23 by Alin Bostan, Bostan, Alin, Jordan O. Tirrell +5 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Symbolic Computation (cs.SC)
- Minimization of differential equations and algebraic values of\n E-functions
2022/09/05 by Alin Bostan, Bostan, Alin, Tanguy Rivoal +3 · 1 citation
Mathematics · #11J81 #16S32 #33F10 #34M15 #68W30 #Algebraic and Geometric Analysis #FOS: Computer and information sciences #FOS: Mathematics #History and Theory of Mathematics #Mathematical Approximation and Integration #Mathematics and Applications #Number Theory (math.NT) #Numerical methods for differential equations #Symbolic Computation (cs.SC) #advanced mathematical theories
- Automatic Classification of Restricted Lattice Walks
2008/11/18 by Alin Bostan, Manuel Kauers, Bostan, Alin +1 · 1 citation
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #semigroups and automata theory #Algorithms and Data Compression
- Algebraic solutions of linear differential equations: an arithmetic approach
2023/04/11 by Alin Bostan, Bostan, Alin, Xavier Caruso +3 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #05A15 #33C20. 12H25 #34A20 #34A30 #34M15 #68W30 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Nonlinear Waves and Solitons #Number Theory (math.NT) #Polynomial and algebraic computation #Primary: 11-02 #Secondary: 12H05 #Symbolic Computation (cs.SC)
- Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials
2021/12/06 by Gerold Alsmeyer, Alin Bostan, Alsmeyer, Gerold +5 · 1 citation
Economics, Econometrics and Finance · Mathematics · #30C15 #60F99 #60J05 #Census and Population Estimation #Combinatorics (math.CO) #FOS: Mathematics #Financial Risk and Volatility Modeling #Primary 05C31 #Probability (math.PR) #Secondary 11B37 #Stochastic processes and statistical mechanics
- Explicit formula for the generating series of diagonal 3D rook paths
2011/05/23 by Alin Bostan, Bostan, Alin, Frédéric Chyzak +5 · 1 citation
Computer Science · Engineering · Mathematics · #14N10 #33F10 #68W30 #97N80 #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Mathematics and Applications #Polynomial and algebraic computation #Primary 05A15 #Secondary 33C05 #Symbolic Computation (cs.SC)