Michael
- GPT-4 Technical Report
2023/03/15 by Josh Achiam, OpenAI, Steven Adler +556 · 6 voices · 4527 citations
Computer Science · #Artificial Intelligence (cs.AI) #Computation and Language (cs.CL) #FOS: Computer and information sciences #cs.AI #cs.CL
- Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane
2012/05/17 by Michael, Bialy · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
- On Totally integrable magnetic billiards on constant curvature surface
2012/08/12 by Michael, Bialy · 2 citations
#Differential Geometry (math.DG) #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences
- Algebraic Birkhoff conjecture for billiards on Sphere and Hyperbolic plane
2016/02/18 by Michael, Bialy, Mironov, Andrey E. · 2 citations
#Differential Geometry (math.DG) #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences
- Apple Intelligence Foundation Language Models: Tech Report 2025
2025/07/17 by Ethan Li, Anders Larsen, Li, Ethan +487 · 14 citations
Computer Science · #Advanced Malware Detection Techniques #Advanced Neural Network Applications #Artificial Intelligence (cs.AI) #Big Data and Digital Economy #FOS: Computer and information sciences #Machine Learning (cs.LG)
- Effective bounds in E.Hopf rigidity for billiards and geodesic flows
2014/05/01 by Michael, Bialy · 1 citation
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
- Integrable Outer billiards and rigidity
2023/06/21 by Michael, Bialy, Michael · 2 citations
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Mathematics and Applications
- A survey on Polynomial in momenta integrals for billiard problems
2018/04/05 by Michael Michael, Michael, Bialy +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems
- Algebraic non-integrability of magnetic billiards
2016/05/11 by Michael, Bialy, Mironov, Andrey E. · 1 citation
#Differential Geometry (math.DG) #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences