DG
Dima Grigoriev
math.AGcs.CRcs.SCq-bio.MNcs.CCmath.RAmath.COmath.APcs.ITmath.IT
On Valency
published · living versionsW_nnhqybdr·v1 · currentpublished
Min-plus Bruhat decomposition
1 version
Preprints & journals
63 papers in the corpus · 2005–2025Effective resolution of singularities2511.07639v1 · Edward Bierstone, Dima Grigoriev, Pierre D. Milman et al.2025 · 0 citationsarXiv
Minimal solutions of tropical linear differential systems2503.23703v1 · Dima Grigoriev, Cristhian Garay L'opez2025 · 0 citationsarXiv
Identifying Markov Chain Models from Time-to-Event Data: An Algebraic Approach.39625575 · Radulescu, Ovidiu, Grigoriev, Dima, Seiss, Matthias et al.2024 · 7 citationsBulletin of mathematical biology. 2024;87(1):11
Valuations, bijections, and bases2405.00470v2 · Arkady Berenstein, Dima Grigoriev2024 · 0 citationsarXiv
Degree of 1-dimensional tropical prevariety2404.06440v2 · Dima Grigoriev2024 · 0 citationsarXiv
A criterion of containment for tropical hypersurfaces2402.18384v2 · Dima Grigoriev2024 · 0 citationsarXiv
Evolution of biological cooperation: an algorithmic approach.38233462 · Sudakow, Ivan, Reinitz, John, Vakulenko, Sergey A et al.2024 · 7 citationsScientific reports. 2024;14(1):1468
Tropical cryptography III: digital signatures2309.11256v2 · Jiale Chen, Dima Grigoriev, Vladimir Shpilrain2023 · 6 citationsarXiv
BASS: Boolean Automorphisms Signature Scheme2306.11303v2 · Dima Grigoriev, Ilia Ilmer, Alexey Ovchinnikov et al.2023 · 1 citationarXiv
Digital signature schemes using non-square matrices or scrap automorphisms2306.08927v2 · Jiale Chen, Dima Grigoriev, Vladimir Shpilrain2023 · 0 citationsarXiv
Robust morphogenesis by chaotic dynamics.37160971 · Reinitz, J, Vakulenko, S, Sudakow, I et al.2023 · 7 citationsScientific reports. 2023;13(1):7482
A tropical version of Hilbert polynomial (in dimension one)2111.14742v4 · Nikita Elizarov, Dima Grigoriev2021 · 1 citationarXiv
Tropical Newton-Puiseux polynomials II2110.10712v1 · Dima Grigoriev2021 · 0 citationsarXiv
Entropy of radical ideal of a tropical prevariety2007.06195v2 · Dima Grigoriev2020 · 0 citationsarXiv
Probability theory and public-key cryptography2006.01607v1 · Mariya Bessonov, Dima Grigoriev, Vladimir Shpilrain2020 · 1 citationarXiv
Entropy of tropical holonomic sequences2003.05466v2 · Dima Grigoriev2020 · 2 citationsarXiv
RSA and redactable blockchains2001.10783v1 · Dima Grigoriev, Vladimir Shpilrain2020 · 18 citationsarXiv
Semi-Algebraic Proofs, IPS Lower Bounds and the -Conjecture: Can a Natural Number be Negative?1911.06738v1 · Yaroslav Alekseev, Dima Grigoriev, Edward A. Hirsch et al.2019 · 1 citationarXiv
Efficiently and Effectively Recognizing Toricity of Steady State Varieties1910.04100v2 · Dima Grigoriev, Alexandru Iosif, Hamid Rahkooy et al.2019 · 11 citationsMath. Comput. Sci., 15(2):199-232, Jun 2021
Key-agreement based on automaton groups1905.03124v1 · Rostislav Grigorchuk, Dima Grigoriev2019 · 3 citationsarXiv
On a tropical version of the Jacobian conjecture1902.07733v1 · Dima Grigoriev, Danylo Radchenko2019 · 5 citationsarXiv
Identifying the Parametric Occurrence of Multiple Steady States for some Biological Networks1902.04882v1 · R. Bradford, J.H. Davenport, M. England et al.2019 · 29 citationsJournal of Symbolic Computation, volume 98, pp. 84 - 119, Elsevier 2020
Decomposing tropical rational functions1901.01180v2 · Dima Grigoriev2019 · 0 citationsarXiv
Tropical cryptography II: extensions by homomorphisms1811.06386v1 · Dima Grigoriev, Vladimir Shpilrain2018 · 49 citationsarXiv
Tropical recurrent sequences1807.10714v5 · Dima Grigoriev2018 · 5 citationsarXiv
Complexity of deciding whether a tropical linear prevariety is a tropical variety1803.01068v3 · Dima Grigoriev, Nicolai Vorobjov2018 · 0 citationsarXiv
A Simple 3-Parameter Model for Cancer Incidences.29467476 · Zhang, Xiaoxiao, Fröhlich, Holger, Grigoriev, Dima et al.2019 · 5 citationsScientific reports. 2018;8(1):3388
Probabilistic solution of Yao's millionaires' problem1711.09675v1 · Mariya Bessonov, Dima Grigoriev, Vladimir Shpilrain2017 · 2 citationsarXiv
Upper bounds on Betti numbers of tropical prevarieties1709.08594v2 · Dima Grigoriev, Nicolai Vorobjov2017 · 0 citationsarXiv
Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity of Biological Networks1706.08794v1 · Matthew England, Hassan Errami, Dima Grigoriev et al.2017 · 18 citationsIn: V. Gerdt, W. Koepf, W. Seiler, E. Vorozhtsov, eds. Computer Algebra in Scientific Computing (Proc. CASC '17), pp. 93-108. (Lecture Notes in Computer Science, 10490). Springer International, 2017
Tropical Combinatorial Nullstellensatz and Sparse Polynomials1706.00080v3 · Dima Grigoriev, Vladimir V. Podolskii2017 · 6 citationsarXiv
A Case Study on the Parametric Occurrence of Multiple Steady States1704.08997v1 · Russell Bradford, James H. Davenport, Matthew England et al.2017 · 30 citationsProceedings of the 42nd International Symposium on Symbolic and Algebraic Computation (ISSAC '17), pp. 45-52, ACM, 2017
Tropical Newton-Puiseux polynomials1704.03842v3 · Dima Grigoriev2017 · 0 citationsLect. Notes Comput. Sci, 2018, vol. 11077, p. 177-186
On semiring complexity of Schur polynomials1608.05043v2 · Sergey Fomin, Dima Grigoriev, Dorian Nogneng et al.2016 · 2 citationsarXiv
Geometric analysis of pathways dynamics: Application to versatility of TGF-β receptors.27452668 · Samal, Satya Swarup, Naldi, Aurélien, Grigoriev, Dima et al.2017 · 11 citationsBio Systems. 2016;149:3-14
A Geometric Method for Model Reduction of Biochemical Networks with Polynomial Rate Functions.26597097 · Samal, Satya Swarup, Grigoriev, Dima, Fröhlich, Holger et al.2016 · 19 citationsBulletin of mathematical biology. 2015;77(12):2180-211
Bounds on the number of connected components for tropical prevarieties1511.06609v1 · Alex Davydow, Dima Grigoriev2015 · 5 citationsDiscr. Comput. Geom., 2017, vol. 57, p. 470-493
Geometric analysis of pathways dynamics: application to versatility of TGF-{\beta} receptors1511.05599v1 · Satya Swarup Samal, Aur'elien Naldi, Dima Grigoriev et al.2015 · 0 citationsarXiv
Analysis of Reaction Network Systems Using Tropical Geometry1508.05717v1 · Satya Swarup Samal, Dima Grigoriev, Holger Frohlich et al.2015 · 10 citationsarXiv
Symbolic dynamics of biochemical pathways as finite states machines1504.07833v2 · Ovidiu Radulescu, Satya Swarup Samal, Aur'elien Naldi et al.2015 · 13 citationsarXiv
Polynomial complexity recognizing a tropical linear variety1503.06126v1 · Dima Grigoriev2015 · 3 citationsLect. Notes Comput. Sci., 2015, vol. 9301, p. 152-157
Model reduction of biochemical reactions networks by tropical analysis methods1503.01414v2 · Ovidiu Radulescu, Sergei Vakulenko, Dima Grigoriev2015 · 36 citationsarXiv
Tropical differential equations1502.08010v1 · Dima Grigoriev2015 · 21 citationsAdv. Appl. Math., 2017, vol. 82, p. 120-128
Tropical Effective Primary and Dual Nullstellensätze1409.6215v2 · Dima Grigoriev, Vladimir V. Podolskii2014 · 15 citationsarXiv
Punctuated evolution and robustness in morphogenesis.24996115 · Grigoriev, D, Reinitz, J, Vakulenko, S et al.2015 · 3 citationsBio Systems. 2014;123:106-13
Yao's millionaires' problem and decoy-based public key encryption by classical physics1312.1160v1 · Dima Grigoriev, Vladimir Shpilrain2013 · 10 citationsarXiv
Subtraction-free complexity, cluster transformations, and spanning trees1307.8425v4 · Sergey Fomin, Dima Grigoriev, Gleb Koshevoy2013 · 21 citationsarXiv
Tropicalization and tropical equilibration of chemical reactions1303.3963v2 · Vincent Noel, Dima Grigoriev, Sergei Vakulenko et al.2013 · 27 citationsarXiv
Secrecy without one-way functions1301.5069v1 · Dima Grigoriev, Vladimir Shpilrain2013 · 5 citationsarXiv
Tropical cryptography1301.1195v1 · Dima Grigoriev, Vladimir Shpilrain2013 · 9 citationsarXiv
Career total: 294 works. 63 are in this corpus.Showing the 50 most recent.
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