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ORCIDDima Grigoriev
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- affiliation: Institut des Mathématiques de Lille, France
- award: Humboldt Prize
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Journal Articles
- 2024
[j82]Dima Grigoriev:
The entropy of the radical ideal of a tropical curve. Adv. Appl. Math. 153: 102635 (2024)- [j81]Yaroslav Alekseev, Dima Grigoriev, Edward A. Hirsch, Iddo Tzameret
:
Semialgebraic Proofs, IPS Lower Bounds, and the \(\boldsymbol{\tau}\)-Conjecture: Can a Natural Number be Negative? SIAM J. Comput. 53(3): 648-700 (2024) - 2023
- [j80]Ivan Sudakow, Sergey Vakulenko, Dima Grigoriev:
Excitable media store and transfer complicated information via topological defect motion. Commun. Nonlinear Sci. Numer. Simul. 116: 106844 (2023) - [j79]Dima Grigoriev:
Tropical Newton-Puiseux polynomials II. J. Symb. Comput. 115: 316-319 (2023) - 2022
- [j78]Dima Grigoriev:
Entropy of tropical holonomic sequences. J. Symb. Comput. 108: 91-97 (2022) - [j77]Dima Grigoriev, Danylo V. Radchenko:
On a tropical version of the Jacobian conjecture. J. Symb. Comput. 109: 399-403 (2022) - 2021
- [j76]Dima Grigoriev, Nicolai N. Vorobjov Jr.:
Complexity of deciding whether a tropical linear prevariety is a tropical variety. Appl. Algebra Eng. Commun. Comput. 32(2): 157-174 (2021) - [j75]Dima Grigoriev, Vladimir Shpilrain:
RSA and redactable blockchains. Int. J. Comput. Math. Comput. Syst. Theory 6(1): 1-6 (2021) - [j74]Mariya Bessonov, Dima Grigoriev, Vladimir Shpilrain:
Probability theory and public-key cryptography. Int. J. Comput. Math. Comput. Syst. Theory 6(4): 285-290 (2021) - [j73]Dima Grigoriev, Alexandru Iosif, Hamid Rahkooy, Thomas Sturm, Andreas Weber:
Efficiently and Effectively Recognizing Toricity of Steady State Varieties. Math. Comput. Sci. 15(2): 199-232 (2021) - 2020
- [j72]Dima Grigoriev:
Tropical recurrent sequences. Adv. Appl. Math. 116: 102012 (2020) - [j71]Dima Grigoriev, Vladimir V. Podolskii:
Tropical Combinatorial Nullstellensatz and Sparse Polynomials. Found. Comput. Math. 20(4): 753-781 (2020) - [j70]Russell J. Bradford, James H. Davenport, Matthew England, Hassan Errami, Vladimir P. Gerdt, Dima Grigoriev, Charles Tapley Hoyt, Marek Kosta, Ovidiu Radulescu, Thomas Sturm, Andreas Weber:
Identifying the parametric occurrence of multiple steady states for some biological networks. J. Symb. Comput. 98: 84-119 (2020) - [j69]Dima Grigoriev:
Decomposing tropical rational functions. J. Symb. Comput. 101: 61-72 (2020) - 2019
- [j68]Rostislav I. Grigorchuk, Dima Grigoriev:
Key agreement based on automaton groups. Groups Complex. Cryptol. 11(2): 77-81 (2019) - 2018
- [j67]Sergey Fomin, Dima Grigoriev, Dorian Nogneng, Éric Schost:
On semiring complexity of Schur polynomials. Comput. Complex. 27(4): 595-616 (2018) - [j66]Dima Grigoriev, Vladimir V. Podolskii:
Tropical Effective Primary and Dual Nullstellensätze. Discret. Comput. Geom. 59(3): 507-552 (2018) - 2017
- [j65]Dima Grigoriev:
Tropical differential equations. Adv. Appl. Math. 82: 120-128 (2017) - [j64]Alex Davydow, Dima Grigoriev:
Bounds on the Number of Connected Components for Tropical Prevarieties. Discret. Comput. Geom. 57(2): 470-493 (2017) - [j63]Dima Grigoriev, Vladimir Shpilrain:
Secure Multiparty Computation without One-way Functions. FLAP 4(4) (2017) - [j62]Dima Grigoriev, Laszlo B. Kish, Vladimir Shpilrain:
Yao's Millionaires' Problem and Public-Key Encryption Without Computational Assumptions. Int. J. Found. Comput. Sci. 28(4): 379-390 (2017) - 2016
- [j61]Satya Swarup Samal, Aurélien Naldi, Dima Grigoriev, Andreas Weber, Nathalie Théret, Ovidiu Radulescu:
Geometric analysis of pathways dynamics: Application to versatility of TGF-β receptors. Biosyst. 149: 3-14 (2016) - [j60]Sergey Fomin, Dima Grigoriev, Gleb A. Koshevoy:
Subtraction-Free Complexity, Cluster Transformations, and Spanning Trees. Found. Comput. Math. 16(1): 1-31 (2016) - [j59]Dima Grigoriev, Gleb A. Koshevoy:
Complexity of tropical Schur polynomials. J. Symb. Comput. 74: 46-54 (2016) - 2015
- [j58]Dima Grigoriev, Vladimir V. Podolskii:
Complexity of Tropical and Min-plus Linear Prevarieties. Comput. Complex. 24(1): 31-64 (2015) - [j57]Hassan Errami, Markus Eiswirth, Dima Grigoriev, Werner M. Seiler, Thomas Sturm, Andreas Weber:
Detection of Hopf bifurcations in chemical reaction networks using convex coordinates. J. Comput. Phys. 291: 279-302 (2015) - 2014
- [j56]Dima Grigoriev, John Reinitz, Sergei Vakulenko, Andreas Weber:
Punctuated evolution and robustness in morphogenesis. Biosyst. 123: 106-113 (2014) - [j55]Dima Grigoriev, Mikhail E. Muzychuk, Ilia N. Ponomarenko:
Tensor Rank: Matching Polynomials and Schur Rings. Found. Comput. Math. 14(3): 457-481 (2014) - [j54]Dima Grigoriev, Vladimir Shpilrain:
Yao's Millionaires' Problem and Decoy-Based Public Key Encryption by Classical Physics. Int. J. Found. Comput. Sci. 25(4): 409-418 (2014) - 2013
- [j53]Dima Grigoriev:
Complexity of Solving Tropical Linear Systems. Comput. Complex. 22(1): 71-88 (2013) - [j52]Dima Grigoriev, Vladimir Shpilrain:
Secrecy without one-way functions. Groups Complex. Cryptol. 5(1): 31-52 (2013) - 2012
- [j51]Dima Grigoriev:
On a tropical dual Nullstellensatz. Adv. Appl. Math. 48(2): 457-464 (2012) - [j50]Dima Grigoriev, Sergey I. Nikolenko:
Continuous hard-to-invert functions and biometric authentication. Groups Complex. Cryptol. 4(1): 19-32 (2012) - [j49]Dima Grigoriev, Vladimir Shpilrain:
No-leak authentication by the Sherlock Holmes method. Groups Complex. Cryptol. 4(1): 177-189 (2012) - 2010
- [j48]Dima Grigoriev, Vladimir Shpilrain:
Authentication schemes from actions on graphs, groups, or rings. Ann. Pure Appl. Log. 162(3): 194-200 (2010) - [j47]Dima Grigoriev, Gerald Tenenbaum:
A low complexity probabilistic test for integer multiplication. J. Complex. 26(3): 263-267 (2010) - [j46]Sergei N. Artëmov, Volker Diekert, Dima Grigoriev:
Preface. Theory Comput. Syst. 46(1): 1 (2010) - 2009
- [j45]Dima Grigoriev, Edward A. Hirsch, Konstantin Pervyshev:
A Complete Public-Key Cryptosystem. Groups Complex. Cryptol. 1(1): 1-12 (2009) - [j44]Dima Grigoriev, Vladimir Shpilrain:
Authentication from Matrix Conjugation. Groups Complex. Cryptol. 1(2): 199-205 (2009) - 2008
- [j43]Dima Grigoriev:
Probabilistic Communication Complexity Over The Reals. Comput. Complex. 17(4): 536-548 (2008) - [j42]Sergei N. Artëmov, Volker Diekert, Dima Grigoriev:
Foreword. Theory Comput. Syst. 43(2): 99 (2008) - 2007
- [j41]Dima Grigoriev, Fritz Schwarz:
Loewy and primary decompositions of D-modules. Adv. Appl. Math. 38(4): 526-541 (2007) - 2006
- [j40]Dima Grigoriev, Ilia N. Ponomarenko:
Homomorphic Public-Key Cryptosystems and Encrypting Boolean Circuits. Appl. Algebra Eng. Commun. Comput. 17(3-4): 239-255 (2006) - [j39]Dima Grigoriev, Sergei Vakulenko:
Algorithms and complexity in biological pattern formation problems. Ann. Pure Appl. Log. 141(3): 412-428 (2006) - 2005
- [j38]Dima Grigoriev, Dmitrii V. Pasechnik:
Polynomial-time computing over quadratic maps i: sampling in real algebraic sets. Comput. Complex. 14(1): 20-52 (2005) - [j37]Dima Grigoriev:
Weak Bézout inequality for D-modules. J. Complex. 21(4): 532-542 (2005) - 2004
- [j36]Dima Grigoriev, Fritz Schwarz:
Factoring and Solving Linear Partial Differential Equations. Computing 73(2): 179-197 (2004) - [j35]Dima Burago, Dima Grigoriev, Anatol Slissenko:
Approximating shortest path for the skew lines problem in time doubly logarithmic in 1/epsilon. Theor. Comput. Sci. 315(2-3): 371-404 (2004) - 2003
- [j34]Dima Grigoriev, Edward A. Hirsch:
Algebraic proof systems over formulas. Theor. Comput. Sci. 303(1): 83-102 (2003) - 2002
- [j33]Dima Grigoriev:
Approximation and Complexity II: Iterated Integration. Found. Comput. Math. 2(3): 295-304 (2002) - 2001
- [j32]Dima Grigoriev, Nicolai N. Vorobjov Jr.:
Complexity of Null-and Positivstellensatz proofs. Ann. Pure Appl. Log. 113(1-3): 153-160 (2001) - [j31]Dima Grigoriev:
Complexity of Positivstellensatz proofs for the knapsack. Comput. Complex. 10(2): 139-154 (2001) - [j30]Dima Grigoriev:
Approximation and Complexity: Liouvillean-Type Theorems for Linear Differential Equations on an Interval. Found. Comput. Math. 1(3): 289-295 (2001) - [j29]Samuel R. Buss, Dima Grigoriev, Russell Impagliazzo, Toniann Pitassi:
Linear Gaps between Degrees for the Polynomial Calculus Modulo Distinct Primes. J. Comput. Syst. Sci. 62(2): 267-289 (2001) - [j28]Felipe Cucker, Dima Grigoriev:
There are No Sparse NPw-Hard Sets. SIAM J. Comput. 31(1): 193-198 (2001) - [j27]Dima Grigoriev:
Linear lower bound on degrees of Positivstellensatz calculus proofs for the parity. Theor. Comput. Sci. 259(1-2): 613-622 (2001) - 2000
- [j26]Dima Grigoriev, Alexander A. Razborov:
Exponential Lower Bounds for Depth 3 Arithmetic Circuits in Algebras of Functions over Finite Fields. Appl. Algebra Eng. Commun. Comput. 10(6): 465-487 (2000) - [j25]Dima Grigoriev, Yagati N. Lakshman:
Algorithms for Computing Sparse Shifts for Multivariate Polynomials. Appl. Algebra Eng. Commun. Comput. 11(1): 43-67 (2000) - [j24]Dima Grigoriev:
Topological Complexity of the Range Searching. J. Complex. 16(1): 50-53 (2000) - 1999
- [j23]Dima Grigoriev:
Complexity lower bounds for randomized computation trees over zero characteristic fields. Comput. Complex. 8(4): 316-329 (1999) - [j22]Dima Grigoriev:
Randomized Complexity Lower Bound for Arrangements and Polyhedra. Discret. Comput. Geom. 21(3): 329-344 (1999) - [j21]Felipe Cucker, Dima Grigoriev:
Complexity Lower Bounds for Approximation Algebraic Computation Trees. J. Complex. 15(4): 499-512 (1999) - 1998
- [j20]Dima Grigoriev, Marek Karpinski, Andrew Chi-Chih Yao:
An exponential lower bound on the size of algebraic decision trees for Max. Comput. Complex. 7(3): 193-203 (1998) - [j19]Dima Grigoriev, Marek Karpinski:
Computing the Additive Complexity of Algebraic Circuits with Root Extracting. SIAM J. Comput. 27(3): 694-701 (1998) - 1997
- [j18]Dima Grigoriev, Marek Karpinski, Friedhelm Meyer auf der Heide, Roman Smolensky:
A Lower Bound for Randomized Algebraic Decision Trees. Comput. Complex. 6(4): 357-375 (1997) - [j17]Dima Grigoriev, Marek Karpinski, Roman Smolensky:
Randomization and the Computational Power of Analytic and Algebraic Decision Trees. Comput. Complex. 6(4): 376-388 (1997) - [j16]Dima Grigoriev, Marek Karpinski, Nicolai N. Vorobjov Jr.:
Lower Bound on Testing Membership to a Polyhedron by Algebraic Decision and Computation Trees. Discret. Comput. Geom. 17(2): 191-215 (1997) - [j15]Dima Grigoriev:
Nearly Sharp Complexity Bounds for Multiprocessor Algebraic Computations. J. Complex. 13(1): 50-64 (1997) - [j14]Felipe Cucker, Dima Grigoriev:
On the Power of Real Turing Machines Over Binary Inputs. SIAM J. Comput. 26(1): 243-254 (1997) - [j13]Dima Grigoriev:
Testing Shift-Equivalence of Polynomials by Deterministic, Probabilistic and Quantum Machines. Theor. Comput. Sci. 180(1-2): 217-228 (1997) - 1996
- [j12]Dima Grigoriev, Marek Karpinski, Andrew M. Odlyzko:
Short Proofs for Nondivisibility of Sparse Polynomials under the Extended Riemann. Fundam. Informaticae 28(3-4): 297-301 (1996) - [j11]Dima Grigoriev:
NC Solving of a System of Linear Ordinary Differential Equations in Several Unknowns. Theor. Comput. Sci. 157(1): 79-90 (1996) - [j10]Dima Grigoriev, Marek Karpinski:
Computability of the Additive Complexity of Algebraic Circuits with Root Extracting. Theor. Comput. Sci. 157(1): 91-99 (1996) - [j9]Dima Grigoriev, Nicolai N. Vorobjov Jr.:
Complexity Lower Bounds for Computation Trees with Elementary Transcendental Function Gates. Theor. Comput. Sci. 157(2): 185-214 (1996) - 1995
- [j8]Dima Grigoriev, Michael F. Singer, Andrew Chi-Chih Yao:
On Computing Algebraic Functions Using Logarithms and Exponentials. SIAM J. Comput. 24(2): 242-246 (1995) - 1994
- [j7]Dima Grigoriev, Marek Karpinski, Michael F. Singer:
Computational Complexity of Sparse Rational Interpolation. SIAM J. Comput. 23(1): 1-11 (1994) - [j6]Dima Grigoriev:
Deviation Theorems for Solutions of Differential Equations and Applications to Lower Bounds on Parallel Complexity of Sigmoids. Theor. Comput. Sci. 133(1): 23-33 (1994) - 1990
- [j5]Dima Grigoriev:
Complexity of Factoring and Calculating the GCD of Linear Ordinary Differential Operators. J. Symb. Comput. 10(1): 7-38 (1990) - [j4]Dima Grigoriev, Marek Karpinski, Michael F. Singer:
Fast Parallel Algorithms for Sparse Multivariate Polynomial Interpolation over Finite Fields. SIAM J. Comput. 19(6): 1059-1063 (1990) - 1988
- [j3]Dima Grigoriev, Nicolai N. Vorobjov Jr.:
Solving Systems of Polynomial Inequalities in Subexponential Time. J. Symb. Comput. 5(1/2): 37-64 (1988) - [j2]Dima Grigoriev:
Complexity of Deciding Tarski Algebra. J. Symb. Comput. 5(1/2): 65-108 (1988) - 1982
- [j1]Dima Grigoriev:
Additive Complexity in Directed Computations. Theor. Comput. Sci. 19: 39-67 (1982)
Conference and Workshop Papers
- 2023
- [c54]Dima Grigoriev, Ilia Ilmer, Alexey Ovchinnikov, Vladimir Shpilrain:
BASS: Boolean Automorphisms Signature Scheme. SecITC 2023: 1-12 - 2020
- [c53]Yaroslav Alekseev, Dima Grigoriev, Edward A. Hirsch, Iddo Tzameret:
Semi-algebraic proofs, IPS lower bounds, and the τ-conjecture: can a natural number be negative? STOC 2020: 54-67 - 2018
- [c52]Dima Grigoriev:
Tropical Newton-Puiseux Polynomials. CASC 2018: 177-186 - [c51]Dima Grigoriev, Nicolai N. Vorobjov Jr.:
Orthogonal Tropical Linear Prevarieties. CASC 2018: 187-196 - [c50]Mariya Bessonov, Dima Grigoriev, Vladimir Shpilrain:
A Framework for Unconditionally Secure Public-Key Encryption (with Possible Decryption Errors). ICMS 2018: 45-54 - 2017
- [c49]Matthew England, Hassan Errami, Dima Grigoriev, Ovidiu Radulescu, Thomas Sturm, Andreas Weber:
Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity of Biological Networks. CASC 2017: 93-108 - [c48]Dima Grigoriev, Vladimir V. Podolskii:
Tropical Combinatorial Nullstellensatz and Fewnomials Testing. FCT 2017: 284-297 - [c47]Russell J. Bradford, James H. Davenport, Matthew England, Hassan Errami, Vladimir P. Gerdt, Dima Grigoriev, Charles Tapley Hoyt, Marek Kosta, Ovidiu Radulescu, Thomas Sturm, Andreas Weber:
A Case Study on the Parametric Occurrence of Multiple Steady States. ISSAC 2017: 45-52 - 2015
- [c46]Dima Grigoriev:
Polynomial Complexity Recognizing a Tropical Linear Variety. CASC 2015: 152-157 - [c45]Dima Grigoriev, Fritz Schwarz:
Computing Highest-Order Divisors for a Class of Quasi-Linear Partial Differential Equations. CASC 2015: 158-165 - [c44]Satya Swarup Samal, Dima Grigoriev, Holger Fröhlich, Ovidiu Radulescu:
Analysis of Reaction Network Systems Using Tropical Geometry. CASC 2015: 424-439 - [c43]Ovidiu Radulescu, Satya Swarup Samal, Aurélien Naldi, Dima Grigoriev, Andreas Weber:
Symbolic Dynamics of Biochemical Pathways as Finite States Machines. CMSB 2015: 104-120 - [c42]Dima Grigoriev, Vladimir V. Podolskii:
Tropical Effective Primary and Dual Nullstellens"atze. STACS 2015: 379-391 - 2013
- [c41]Hassan Errami, Markus Eiswirth, Dima Grigoriev, Werner M. Seiler, Thomas Sturm, Andreas Weber:
Efficient Methods to Compute Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates. CASC 2013: 88-99 - [c40]Dima Grigoriev:
Polynomial Complexity of Solving Systems of Few Algebraic Equations with Small Degrees. CASC 2013: 136-139 - [c39]Dima Grigoriev, Fritz Schwarz:
Computing Divisors and Common Multiples of Quasi-linear Ordinary Differential Equations. CASC 2013: 140-147 - [c38]Dima Grigoriev:
Complexity in Tropical Algebra (Invited Talk). CASC 2013: 148-154 - [c37]Dima Grigoriev, Vladimir Shpilrain:
Secure Information Transmission Based on Physical Principles. UCNC 2013: 113-124 - 2012
- [c36]Dima Grigoriev, Andreas Weber:
Complexity of Solving Systems with Few Independent Monomials and Applications to Mass-Action Kinetics. CASC 2012: 143-154 - [c35]Vincent Noel, Dima Grigoriev, Sergei Vakulenko, Ovidiu Radulescu:
Hybrid models of the cell cycle molecular machinery. HSB 2012: 88-105 - 2011
- [c34]Vincent Noel, Dima Grigoriev, Sergei Vakulenko, Ovidiu Radulescu:
Tropical Geometries and Dynamics of Biochemical Networks Application to Hybrid Cell Cycle Models. SASB 2011: 75-91 - 2010
- [c33]Dima Grigoriev, Fritz Schwarz:
Absolute factoring of non-holonomic ideals in the plane. ISSAC 2010: 93-97 - 2008
- [c32]Dima Grigoriev, Fritz Schwarz:
Loewy decomposition of third-order linear aPDE's in the plane. ISSAC 2008: 277-286 - 2005
- [c31]Dima Grigoriev, Fritz Schwarz:
Generalized Loewy-decomposition of d-modules. ISSAC 2005: 163-170 - 2002
- [c30]Dima Grigoriev, Edward A. Hirsch, Dmitrii V. Pasechnik:
Exponential Lower Bound for Static Semi-algebraic Proofs. ICALP 2002: 257-268 - [c29]Dima Grigoriev, Edward A. Hirsch, Dmitrii V. Pasechnik:
Complexity of Semi-algebraic Proofs. STACS 2002: 419-430 - 2001
- [c28]Felipe Cucker, Dima Grigoriev:
There Are No Sparse NPW-Hard Sets. MFCS 2001: 285-291 - 2000
- [c27]Dima Grigoriev, Nicolai N. Vorobjov Jr.:
Bounds on numers of vectors of multiplicities for polynomials which are easy to compute. ISSAC 2000: 137-146 - 1999
- [c26]Samuel R. Buss, Dima Grigoriev, Russell Impagliazzo, Toniann Pitassi:
Linear Gaps Between Degrees for the Polynomial Calculus Modulo Distinct Primes (Abstract). CCC 1999: 5 - [c25]Samuel R. Buss, Dima Grigoriev, Russell Impagliazzo, Toniann Pitassi:
Linear Gaps Between Degrees for the Polynomial Calculus Modulo Distinct Primes. STOC 1999: 547-556 - 1998
- [c24]Dima Grigoriev, Alexander A. Razborov:
Exponential Complexity Lower Bounds for Depth 3 Arithmetic Circuits in Algebras of Functions Over Finite Fields. FOCS 1998: 269-278 - [c23]Dima Grigoriev:
Tseitin's Tautologies and Lower Bounds for Nullstellensatz Proofs. FOCS 1998: 648-652 - [c22]Dima Grigoriev, Anatol Slissenko:
Polytime Algorithm for the Shortest Path in a Homotopy Class Amidst Semi-Algebraic Obstacles in the Plane. ISSAC 1998: 17-24 - [c21]Dima Grigoriev:
Randomized Complexity Lower Bounds. STOC 1998: 219-223 - [c20]Dima Grigoriev, Marek Karpinski:
An Exponential Lower Bound for Depth 3 Arithmetic Circuits. STOC 1998: 577-582 - 1997
- [c19]Dima Grigoriev, Anatol Slissenko:
Computing Minimum-Link Path in a Homotopy Class amidst Semi-Algebraic Obstacles in the Plane. AAECC 1997: 114-129 - [c18]Dima Grigoriev, Marek Karpinski:
Randomized Omega(n2) Lower Bound for Knapsack. STOC 1997: 76-85 - 1996
- [c17]Dima Grigoriev:
Testing Shift-Equivalence of Polynomials Using Quantum Machines. ISSAC 1996: 49-54 - [c16]Dima Grigoriev, Marek Karpinski, Friedhelm Meyer auf der Heide, Roman Smolensky:
A Lower Bound for Randomized Algebraic Decision Trees. STOC 1996: 612-619 - 1995
- [c15]Dima Grigoriev, Marek Karpinski, Nicolai N. Vorobjov Jr.:
Improved Lower Bound on Testing Membership to a Polyhedron by Algebraic Decision Trees. FOCS 1995: 258-265 - [c14]Dima Grigoriev, Yagati N. Lakshman:
Algorithms for Computing Sparse Shifts for Multivariate Polynomials. ISSAC 1995: 96-103 - 1994
- [c13]Dima Grigoriev, Nicolai N. Vorobjov Jr.:
Complexity Lower Bounds for Computation Trees with Elementary Transcendental Function Gates. FOCS 1994: 548-552 - [c12]Dima Grigoriev, Marek Karpinski, Nicolai N. Vorobjov Jr.:
Lower bounds on testing membership to a polyhedron by algebraic decision trees. STOC 1994: 635-644 - 1993
- [c11]Dima Grigoriev, Marek Karpinski:
A Zero-Test and an Interpolation Algorithm for the Shifted Sparse Polynominals. AAECC 1993: 162-169 - 1992
- [c10]Dima Grigoriev, Marek Karpinski, Andrew M. Odlyzko:
Existence of Short Proofs for Nondivisibility of Sparse Polynomials under the Extended Riemann Hypothesis. ISSAC 1992: 117-122 - 1991
- [c9]Dima Grigoriev, Marek Karpinski:
An Approximation Algorithm for the Number of Zeros of Arbitrary Polynomials over GF[q]. FOCS 1991: 662-669 - [c8]Dima Grigoriev, Marek Karpinski:
Algorithms for Sparse Rational Interpolation. ISSAC 1991: 7-13 - 1990
- [c7]Dima Grigoriev, Marek Karpinski, Michael F. Singer:
Interpolation of Sparse Rational Functions Without Knowing Bounds on Exponents. FOCS 1990: 840-846 - [c6]Dima Grigoriev:
How to Test in Subexponential Time Whether Two Points Can Be Connected by a Curve in a Semialgebraic Set. ISSAC 1990: 104-105 - [c5]Dima Grigoriev:
Complexity of Irreducibility Testing for a System of Linear Ordinary Differential Equations. ISSAC 1990: 225-230 - 1987
- [c4]Dima Grigoriev, Marek Karpinski:
The Matching Problem for Bipartite Graphs with Polynomially Bounded Permanents Is in NC (Extended Abstract). FOCS 1987: 166-172 - 1984
- [c3]Alexander L. Chistov, Dima Grigoriev:
Complexity of Quantifier Elimination in the Theory of Algebraically Closed Fields. MFCS 1984: 17-31 - 1981
- [c2]Dima Grigoriev:
Multiplicative Complexity of a Bilinear Form over a Commutative Ring. MFCS 1981: 281-286 - 1978
- [c1]Dima Grigoriev:
Multiplicative Complexity of a Pair of Bilinear Forms and of the Polynomial Multiplication. MFCS 1978: 250-256
Editorship
- 2006
- [e1]Dima Grigoriev, John Harrison, Edward A. Hirsch:
Computer Science - Theory and Applications, First International Symposium on Computer Science in Russia, CSR 2006, St. Petersburg, Russia, June 8-12, 2006, Proceedings. Lecture Notes in Computer Science 3967, Springer 2006, ISBN 3-540-34166-8 [contents]
Informal and Other Publications
- 2024
- [i60]Yaroslav Alekseev, Dima Grigoriev, Edward A. Hirsch:
Tropical proof systems. Electron. Colloquium Comput. Complex. TR24 (2024) - 2023
- [i59]Jiale Chen, Dima Grigoriev, Vladimir Shpilrain:
Digital signature schemes using non-square matrices or scrap automorphisms. CoRR abs/2306.08927 (2023) - [i58]Dima Grigoriev, Ilia Ilmer, Alexey Ovchinnikov, Vladimir Shpilrain:
BASS: Boolean Automorphisms Signature Scheme. CoRR abs/2306.11303 (2023) - [i57]Jiale Chen, Dima Grigoriev, Vladimir Shpilrain:
Tropical cryptography III: digital signatures. CoRR abs/2309.11256 (2023) - [i56]Jiale Chen, Dima Grigoriev, Vladimir Shpilrain:
Digital signature schemes using non-square matrices or scrap automorphisms. IACR Cryptol. ePrint Arch. 2023: 873 (2023) - [i55]Dima Grigoriev, Ilia Ilmer, Alexey Ovchinnikov, Vladimir Shpilrain:
BASS: Boolean Automorphisms Signature Scheme. IACR Cryptol. ePrint Arch. 2023: 957 (2023) - [i54]Jiale Chen, Dima Grigoriev, Vladimir Shpilrain:
Tropical cryptography III: digital signatures. IACR Cryptol. ePrint Arch. 2023: 1475 (2023) - 2020
- [i53]Dima Grigoriev, Vladimir Shpilrain:
RSA and redactable blockchains. CoRR abs/2001.10783 (2020) - [i52]Dima Grigoriev:
Entropy of tropical holonomic sequences. CoRR abs/2003.05466 (2020) - [i51]Mariya Bessonov, Dima Grigoriev, Vladimir Shpilrain:
Probability theory and public-key cryptography. CoRR abs/2006.01607 (2020) - [i50]Dima Grigoriev, Vladimir Shpilrain:
RSA and redactable blockchains. IACR Cryptol. ePrint Arch. 2020: 69 (2020) - [i49]Mariya Bessonov, Dima Grigoriev, Vladimir Shpilrain:
Probability theory and public-key cryptography. IACR Cryptol. ePrint Arch. 2020: 625 (2020) - 2019
- [i48]Dima Grigoriev:
Decomposing tropical rational functions. CoRR abs/1901.01180 (2019) - [i47]Russell J. Bradford, James H. Davenport, Matthew England, Hassan Errami, Vladimir P. Gerdt, Dima Grigoriev, Charles Tapley Hoyt, Marek Kosta, Ovidiu Radulescu, Thomas Sturm, Andreas Weber:
Identifying the Parametric Occurrence of Multiple Steady States for some Biological Networks. CoRR abs/1902.04882 (2019) - [i46]Rostislav I. Grigorchuk, Dima Grigoriev:
Key-agreement based on automaton groups. CoRR abs/1905.03124 (2019) - [i45]Dima Grigoriev, Alexandru Iosif, Hamid Rahkooy, Thomas Sturm, Andreas Weber:
Efficiently and Effectively Recognizing Toricity of Steady State Varieties. CoRR abs/1910.04100 (2019) - [i44]Yaroslav Alekseev, Dima Grigoriev, Edward A. Hirsch, Iddo Tzameret:
Semi-Algebraic Proofs, IPS Lower Bounds and the τ-Conjecture: Can a Natural Number be Negative? CoRR abs/1911.06738 (2019) - [i43]Yaroslav Alekseev, Dima Grigoriev, Edward A. Hirsch, Iddo Tzameret:
Semi-Algebraic Proofs, IPS Lower Bounds and the $\tau$-Conjecture: Can a Natural Number be Negative? Electron. Colloquium Comput. Complex. TR19 (2019) - 2018
- [i42]Dima Grigoriev:
Tropical recurrent sequences. CoRR abs/1807.10714 (2018) - [i41]Dima Grigoriev, Vladimir Shpilrain:
Tropical cryptography II: extensions by homomorphisms. CoRR abs/1811.06386 (2018) - [i40]Dima Grigoriev, Vladimir Shpilrain:
Tropical cryptography II: extensions by homomorphisms. IACR Cryptol. ePrint Arch. 2018: 1104 (2018) - 2017
- [i39]Russell J. Bradford, James H. Davenport, Matthew England, Hassan Errami, Vladimir P. Gerdt, Dima Grigoriev, Charles Tapley Hoyt, Marek Kosta, Ovidiu Radulescu, Thomas Sturm, Andreas Weber:
A Case Study on the Parametric Occurrence of Multiple Steady States. CoRR abs/1704.08997 (2017) - [i38]Dima Grigoriev, Vladimir V. Podolskii:
Tropical Combinatorial Nullstellensatz and Fewnomials Testing. CoRR abs/1706.00080 (2017) - [i37]Matthew England, Hassan Errami, Dima Grigoriev, Ovidiu Radulescu, Thomas Sturm, Andreas Weber:
Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity of Biological Networks. CoRR abs/1706.08794 (2017) - [i36]Mariya Bessonov, Dima Grigoriev, Vladimir Shpilrain:
Probabilistic solution of Yao's millionaires' problem. CoRR abs/1711.09675 (2017) - [i35]Mariya Bessonov, Dima Grigoriev, Vladimir Shpilrain:
Probabilistic solution of Yao's millionaires' problem. IACR Cryptol. ePrint Arch. 2017: 1129 (2017) - 2016
- [i34]Sergey Fomin, Dima Grigoriev, Dorian Nogneng, Éric Schost:
On semiring complexity of Schur polynomials. CoRR abs/1608.05043 (2016) - [i33]Stéphane Gaubert, Dima Grigoriev, Michael Joswig, Thorsten Theobald:
Algorithms and Effectivity in Tropical Mathematics and Beyond (Dagstuhl Seminar 16482). Dagstuhl Reports 6(11): 168-184 (2016) - 2015
- [i32]Dima Grigoriev:
Tropical differential equations. CoRR abs/1502.08010 (2015) - [i31]Dima Grigoriev:
Polynomial complexity recognizing a tropical linear variety. CoRR abs/1503.06126 (2015) - 2014
- [i30]Dima Grigoriev, Vladimir V. Podolskii:
Tropical Effective Primary and Dual Nullstellensätze. CoRR abs/1409.6215 (2014) - [i29]Dima Grigoriev, Vladimir Shpilrain:
Yao's millionaires' problem and decoy-based public key encryption by classical physics. IACR Cryptol. ePrint Arch. 2014: 384 (2014) - 2013
- [i28]Dima Grigoriev, Vladimir Shpilrain:
Tropical cryptography. CoRR abs/1301.1195 (2013) - [i27]Dima Grigoriev, Vladimir Shpilrain:
Secrecy without one-way functions. CoRR abs/1301.5069 (2013) - [i26]Sergey Fomin, Dima Grigoriev, Gleb A. Koshevoy:
Subtraction-free complexity and cluster transformations. CoRR abs/1307.8425 (2013) - [i25]Dima Grigoriev, Vladimir Shpilrain:
Yao's millionaires' problem and decoy-based public key encryption by classical physics. CoRR abs/1312.1160 (2013) - [i24]Dima Grigoriev, Vladimir Shpilrain:
Tropical cryptography. IACR Cryptol. ePrint Arch. 2013: 12 (2013) - [i23]Dima Grigoriev, Vladimir Shpilrain:
Secrecy without one-way functions. IACR Cryptol. ePrint Arch. 2013: 55 (2013) - [i22]Dima Grigoriev, Vladimir Shpilrain:
Secure information transmission based on physical principles. IACR Cryptol. ePrint Arch. 2013: 261 (2013) - 2012
- [i21]Dima Grigoriev, Vladimir V. Podolskii:
Complexity of tropical and min-plus linear prevarieties. CoRR abs/1204.4578 (2012) - 2010
- [i20]Dima Grigoriev, Vladimir Shpilrain:
Authentication from matrix conjugation. CoRR abs/1010.5034 (2010) - [i19]Dima Grigoriev, Vladimir Shpilrain:
Authentication schemes from actions on graphs, groups, or rings. IACR Cryptol. ePrint Arch. 2010: 24 (2010) - [i18]Dima Grigoriev, Vladimir Shpilrain:
No-leak authentication by the Sherlock Holmes method. IACR Cryptol. ePrint Arch. 2010: 624 (2010) - 2008
- [i17]Dima Grigoriev, Vladimir Shpilrain:
Zero-knowledge authentication schemes from actions on graphs, groups, or rings. CoRR abs/0802.1661 (2008) - 2007
- [i16]Dima Grigoriev:
Probabilistic communication complexity over the reals. CoRR abs/0710.2732 (2007) - 2006
- [i15]Dima Grigoriev, Edward A. Hirsch, Konstantin Pervyshev:
A Complete Public-Key Cryptosystem. Electron. Colloquium Comput. Complex. TR06 (2006) - 2005
- [i14]Dima Grigoriev, Edward A. Hirsch, Konstantin Pervyshev:
Time hierarchies for cryptographic function inversion with advice. Electron. Colloquium Comput. Complex. TR05 (2005) - 2004
- [i13]Dima Grigoriev, Dmitrii V. Pasechnik:
Polynomial-time computing over quadratic maps I. Sampling in real algebraic sets. CoRR cs.SC/0403008 (2004) - 2003
- [i12]Dima Grigoriev, Ilia N. Ponomarenko:
Homomorphic public-key cryptosystems and encrypting boolean circuits. CoRR cs.CR/0301022 (2003) - [i11]Dima Grigoriev, Ilia N. Ponomarenko:
Homomorphic public-key cryptosystems over groups and rings. CoRR cs.CR/0309010 (2003) - [i10]Dima Grigoriev:
Weak Bezout inequality for D-modules. CoRR cs.SC/0311053 (2003) - [i9]Dima Grigoriev, Ilia Ponomarenko:
Homomorphic public-key cryptosystems and encrypting boolean circuits. IACR Cryptol. ePrint Arch. 2003: 25 (2003) - 2002
- [i8]Dima Grigoriev, Ilia N. Ponomarenko:
On non-abelian homomorphic public-key cryptosystems. CoRR cs.CR/0207079 (2002) - [i7]Dima Grigoriev:
Public-key cryptography and invariant theory. CoRR cs.CR/0207080 (2002) - [i6]Dima Grigoriev:
Public-key cryptography and invariant theory. Electron. Colloquium Comput. Complex. TR02 (2002) - 2001
- [i5]Dima Grigoriev, Edward A. Hirsch:
Algebraic proof systems over formulas. Electron. Colloquium Comput. Complex. TR01 (2001) - [i4]Dima Grigoriev, Edward A. Hirsch, Dmitrii V. Pasechnik:
Complexity of semi-algebraic proofs. Electron. Colloquium Comput. Complex. TR01 (2001) - 1996
- [i3]Dima Grigoriev, Marek Karpinski:
Randomized Omega(n2) Lower Bound for Knapsack. Electron. Colloquium Comput. Complex. TR96 (1996) - 1995
- [i2]Dima Grigoriev, Marek Karpinski, Andrew Chi-Chih Yao:
An Exponential Lower Bound on the Size of Algebraic Decision Trees for MAX. Electron. Colloquium Comput. Complex. TR95 (1995) - [i1]Dima Grigoriev, Marek Karpinski, Friedhelm Meyer auf der Heide, Roman Smolensky:
A Lower Bound for Randomized Algebraic Decision Trees. Electron. Colloquium Comput. Complex. TR95 (1995)
Coauthor Index
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