Dmitry S. Kaliuzhnyi-Verbovetskyi
- Foundations of Free Noncommutative Function Theory
2012/12/27 by Dmitry S. Kaliuzhnyi-Verbovetskyi, Kaliuzhnyi-Verbovetskyi, Dmitry S., Victor Vinnikov +1 · 6 citations
Computer Science · Mathematics · #17A50 #40A05 #4602 #46L52 #46L54 #47A60 #47L25 #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical and Theoretical Analysis #Operator Algebras (math.OA) #advanced mathematical theories
- The mean field equation for the Kuramoto model on graph sequences with\n non-Lipschitz limit
2017/06/09 by Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev, Kaliuzhnyi-Verbovetskyi, Dmitry +1 · 5 citations
Computer Science · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Pattern Formation and Solitons (nlin.PS)
- Sparse Monte Carlo method for nonlocal diffusion problems
2019/05/26 by Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev, Kaliuzhnyi-Verbovetskyi, Dmitry +1 · 3 citations
Computer Science · Mathematics · #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)
- Noncommutative rational functions, their difference-differential\n calculus and realizations
2010/03/02 by Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov, Kaliuzhnyi-Verbovetskyi, Dmitry S. +1 · 2 citations
Computer Science · #Formal Methods in Verification #Petri Nets in System Modeling #Polynomial and algebraic computation
- Matrix-valued Hermitian Positivstellensatz, lurking contractions, and contractive determinantal representations of stable polynomials
2015/01/20 by Anatolii Grinshpan, Dmitry S. Kaliuzhnyi-Verbovetskyi, Grinshpan, Anatolii +5 · 1 citation
Mathematics · Computer Science · #Advanced Topics in Algebra #Matrix Theory and Algorithms #Holomorphic and Operator Theory