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- City University of New YorkUS167 papers
- The Graduate Center, CUNYUS163 papers
- Moscow Institute of Physics and TechnologyRU24 papers
- Centre National de la Recherche ScientifiqueFR18 papers
- All Russia Research Institute of AutomaticsRU13 papers
- City College of New YorkUS12 papers
- Seton Hall UniversityUS11 papers
- Institute of Theoretical and Applied ElectrodynamicsRU10 papers
- University of MichiganUS9 papers
- RIKENJP8 papers
- Russian Academy of SciencesRU8 papers
- New York UniversityUS7 papers
14 papers · 1 filter
Elimination of unknowns for systems of algebraic differential-difference equations
Wei Li, Alexey Ovchinnikov, Gleb Pogudin +1
We establish effective elimination theorems for differential-difference equations. Specifically, we find a computable function of the natural number parameters and …
Corrigendum: 'On bounds for the effective differential Nullstellensatz, arXiv:1508.07508'
Omar Leon Sanchez, Alexey Ovchinnikov
We correct a small gap found in the authors' paper 'On bounds for the effective differential Nullstellensatz' (J Algebra 449:1-21, 2016). This gap is due to an inequality that does…
New order bounds in differential elimination algorithms
Richard Gustavson, Alexey Ovchinnikov, Gleb Pogudin
We present a new upper bound for the orders of derivatives in the Rosenfeld-Groebner algorithm. This algorithm computes a regular decomposition of a radical differential ideal in t…
On bounds for the effective differential Nullstellensatz
Omar León Sánchez, Alexey Ovchinnikov
Understanding bounds for the effective differential Nullstellensatz is a central problem in differential algebraic geometry. Recently, several bounds have been obtained using Dicks…
Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence
Charlotte Hardouin, Andrei Minchenko, Alexey Ovchinnikov
The main motivation of our work is to create an efficient algorithm that decides hypertranscendence of solutions of linear differential equations, via the parameterized differentia…
New effective differential Nullstellensatz
Richard Gustavson, Marina Kondratieva, Alexey Ovchinnikov
We show new upper and lower bounds for the effective differential Nullstellensatz for differential fields of characteristic zero with several commuting derivations. Seidenberg was…