Makoto Matsumoto
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Researcher ORCID ID = 0000-0002-4179-8501
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Makoto Matsumotocomputer-science Degrees
Computer Science
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Numerical Analysis
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Makoto Matsumotomathematics Degrees
Mathematics
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Measure Theory
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Computer Science Mathematics
Makoto Matsumoto's Degrees
- PhD Computer Science University of Tokyo
- Masters Mathematics University of Tokyo
- Bachelors Mathematics University of Tokyo
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(Suggest an Edit or Addition)Makoto Matsumoto's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator (1998) (5686)
- SIMD-Oriented Fast Mersenne Twister: a 128-bit Pseudorandom Number Generator (2008) (284)
- Improved long-period generators based on linear recurrences modulo 2 (2004) (265)
- Twisted GFSR generators II (1994) (184)
- Twisted GFSR generators (1992) (178)
- The exact bound in the Erdös-Ko-Rado theorem for cross-intersecting families (1989) (150)
- Theory of Finsler spaces with (α, β)-metric (1992) (149)
- On Finsler spaces with Randers’ metric and special forms of important tensors (1974) (126)
- Efficient Jump Ahead for 2-Linear Random Number Generators (2006) (86)
- A slope of a mountain is a Finsler surface with respect to a time measure (1989) (84)
- Variants of Mersenne Twister Suitable for Graphic Processors (2010) (73)
- Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P1 - {0,1, ∞} (2003) (68)
- FINSLER SPACES WITH (α, β)-METRIC OF DOUGLAS TYPE. (1998) (58)
- Bose-Mesner Algebras Related to Type II Matrices and Spin Models (1998) (57)
- The induced and intrinsic Finsler connections of a hypersurface and Finslerien projective geometry (1985) (51)
- A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities (2000) (50)
- The Berwald connection of a Finsler space with an (α, β)-metric (1991) (46)
- Galois representations on profinite braid groups on curves. (1994) (44)
- Common defects in initialization of pseudorandom number generators (2007) (43)
- Randers spaces of constant curvature (1989) (41)
- A PRNG Specialized in Double Precision Floating Point Numbers Using an Affine Transition (2009) (38)
- Parallel Mersenne Twister (2007) (36)
- On Finsler Spaces of Douglas Type III (2000) (36)
- On the Forced Magnetostriction of Fe-Ni Invar Alloys at 4.2°K (1969) (36)
- Pseudorandom Number Generation: Impossibility and Compromise (2006) (35)
- Simple cellular automata as pseudorandom m-sequence generators for built-in self-test (1998) (33)
- Projectively flat Finsler spaces with (α, β)-metric (1991) (33)
- UNIVERSAL MIXED ELLIPTIC MOTIVES (2015) (33)
- Tannakian Fundamental Groups Associated to Galois Groups (2000) (33)
- A Nonempirical Test on the Weight of Pseudorandom Number Generators (2002) (32)
- Strong deviations from randomness in m-sequences based on trinomials (1996) (32)
- Mapping-class-group action versus Galois action on profinite fundamental groups (2000) (32)
- Positron Study of Electron Momentum Density and Fermi Surface in Titanium and Zirconium (1989) (32)
- On Finsler spaces with the curvature tensors Phijk and Shijk satisfying special conditions (1977) (30)
- A short proof of Nash-Williams' theorem for the arboricity of a graph (1994) (29)
- On some extension of 1-spread sets (1987) (28)
- Minimum Shadows in Uniform Hypergraphs and a Generalization of the Takagi Function (1995) (27)
- A THEORY OF THREE-DIMENSIONAL FINSLER SPACES IN TERMS OF SCALARS (1973) (27)
- Primitive t-Nomials(t=3,5)over GF(2) Whose Degree is a Mersenne Exponent≦44497 (1991) (27)
- THE CORRECTED FUNDAMENTAL THEOREM ON THE RANDERS SPACES OF CONSTANT CURVATURE (2002) (26)
- Cryptographic Mersenne Twister and Fubuki Stream/block Cipher (2014) (26)
- Remarks on Berwald and Landsberg spaces (1996) (25)
- On semi-$C$-reducibility, $T-\textrm{tensor} = 0$ and $S4$-likeness of Finsler spaces (1979) (22)
- Reduction theorems of certain Landsberg spaces to Berwald spaces (1996) (21)
- On Einstein's gravitational field equation in a tangent Riemannian space of a Finsler space (1975) (21)
- On $h$-isotropic and $C^h$-recurrent Finsler spaces (1971) (20)
- Mersenne Twister – A Pseudo Random Number Generator and its Variants (2009) (20)
- Randers spaces with the $h$-curvature tensor $H$ dependent on position alone (2000) (20)
- On the indicatrices of a Finsler space (1977) (20)
- A mixed version of Menger's theorem (1991) (20)
- Bounds for the vertex linear arboricity (1990) (20)
- Local monodromy on the fundamental groups of algebraic curves along a degenerate stable curve (1995) (19)
- A new formalism for the paramagnetic spin susceptibility of metals using relativistic spin-polarized multiple-scattering theory: a temperature-dependent anisotropy effect (1990) (19)
- Theory of $Y$-extremal and minimal hypersurfaces in a Finsler space, On Wegener's and Barthel's theories (1986) (19)
- On Galois Actions of Profinite Comple-tions of Braid Groups (1995) (18)
- LANDSBERG SPACES OF DIMENSION TWO WITH (α,β)-METRIC (1996) (17)
- On the Pressure Effect of the Néel Temperature in the Compound AuMn (1968) (17)
- A generalization of the katona theorem for crosst-intersecting families (1989) (17)
- On the imbedding of the Schwarzschild space-time I. (1961) (17)
- Conformally Berwald and conformally flat Finsler spaces (2001) (17)
- New primitive t-nomials (t = 3, 5) over GF(2) whose degree is a Mersenne exponent (2000) (17)
- Relativistic spin polarized ab initio calculations of the anisotropy and temperature dependence of the paramagnetic spin susceptibility of scandium and yttrium (1991) (17)
- A computable figure of merit for quasi-Monte Carlo point sets (2011) (17)
- Geodesics of two-dimensional Finsler spaces (1994) (16)
- $V$-Transformations of Finsler spaces I. Definition, infinitesimal transformations and isometries (1972) (16)
- On the Galois image in the derivation algebra of 1 of the projective line minus three points (1994) (15)
- GALOIS ACTIONS ON FUNDAMENTAL GROUPS OF CURVES AND THE CYCLE $C-C^{-}$ (2003) (15)
- On an invariant theory of the Finsler spaces (1977) (15)
- Correlation correction on Compton profiles of V and Cr (1990) (14)
- THEORY OF FINSLER SPACES WITH m-th ROOT METRIC : CONNECTIONS AND MAIN SCALARS (1995) (14)
- New Inputs and Methods for Markov Chain Quasi-Monte Carlo (2012) (14)
- An improved proof of Numata and Shibata's theorems on Finsler spaces of scalar curvature (2004) (13)
- On the Fast Computation of the Weight Enumerator Polynomial and the t Value of Digital Nets over Finite Abelian Groups (2012) (13)
- A Fast Jump Ahead Algorithm for Linear Recurrences in a Polynomial Space (2008) (12)
- Finsler spaces of constant curvature with Kropina metric (1991) (12)
- Relative Pro-$\ell$ Completions of Mapping Class Groups (2008) (12)
- Magnetic Compton Profile and Spin Polarized Positron Annihilation Radiation in Hcp Cobalt (1993) (12)
- Weighted Completion of Galois Groups and Some Conjectures of Deligne (2000) (11)
- Getting rid of correlations among pseudorandom numbers: discarding versus tempering (1999) (11)
- On Finsler spaces of Douglas type. II. Projectively flat spaces (1998) (11)
- A special class of locally Minkowski spaces with (α, β)-metric and conformally flat Kropina spaces (1991) (11)
- Existence of Higher Order Convergent Quasi-Monte Carlo Rules via Walsh Figure of Merit (2013) (10)
- Error Correcting Sequence and Projective De Bruijn Graph (2008) (10)
- CryptMT3 Stream Cipher (2008) (10)
- A Fast Stream Cipher with Huge State Space and Quasigroup Filter for Software (2007) (10)
- On the 1953 Barthel connection of a Finsler space and its mathematical and physical interpretation (1993) (10)
- Is There a Circle that Passes Through a Given Number of Lattice Points? (1998) (10)
- Every path space of dimension two is projectively related to a Finsler space (1995) (10)
- THE CONDITIONS FOR SOME (α, β)-METRIC SPACES TO BE WEAKLY-BERWALD SPACES (2004) (9)
- Many-Body Enhancement Effects on the 2D ACAR in Chromium (1987) (9)
- Sum-discrepancy test on pseudorandom number generators (2003) (9)
- Finsler spaces with the hv-curvature tensor Phijk of a special form (1978) (9)
- Theory of Conformally Berwald Finsler Spaces and Its Applications to (fi;fl)-Metrics (2000) (9)
- Projective changes of Finsler spaces of constant curvature (1994) (8)
- Connections, metrics and almost complex structures of tangent bundles (1966) (8)
- Introduction to arithmetic mapping class groups (2013) (8)
- The Tavakol--van den Bergh conditions in the theories of gravity and projective changes of Finsler metrics (1993) (8)
- PROJECTIVE RANDERS CHANGE OF P-REDUCIBLE FINSLER SPACES (1998) (8)
- Fast lattice reduction for F2-linear pseudorandom number generators (2010) (7)
- Affine transformations of Finsler spaces (1963) (7)
- Electron Correlation Effect on the Directional Compton Profiles of Mg (1999) (7)
- Two-Dimensional Angular Correlation Distributions of Positron Annihilation Radiation in Vanadium and Chromium (1986) (7)
- Theory of Conformally Berwald Finsler Spaces and Its Applications to ( α , β )-Metrics (2007) (7)
- Checking the quality of approximation of p-values in statistical tests for random number generators by using a three-level test (2017) (6)
- The inverse problem of variation calculus in two-dimensional Finsler space (1989) (6)
- A global foundation of Finsler geometry (1960) (6)
- A Note on Difference Sets (1998) (6)
- Riemann Spaces of Class two and their Algebraic Characterization Part III (1950) (6)
- Theory of Finsler spaces with $m$-th root metric. II. (1996) (6)
- Curriculum reform in library and information science education by evidence-based decision making (2011) (6)
- Two-dimensional Finsler spaces whose geodesics constitute a family of special conic sections (1995) (6)
- Position-electron many-body enhancement effects in copper (1988) (6)
- Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P^1 - {0,1,infinity} (2000) (6)
- Anomalous Thermal Expansion and Specific Heat of the Ferromagnetic Compound Au4Mn (1969) (5)
- Role of the Electron Fermi Surface in the Helical Spin Ordering of Rare Earth Metal Eu (1980) (5)
- The main scalar of two-dimensional Finsler spaces with special metric (1992) (5)
- On the Exchange Striction of Antiferromagnet Au2Mn (1968) (5)
- Paths in a Finsler space (1963) (5)
- An improvement of the linear tetrahedron method for Compton profile calculations (2004) (5)
- Arithmetic fundamental groups and moduli of curves (2001) (5)
- CRYPTANALYSIS OF CRYPTMT : EFFECT OF HUGE PRIME PERIOD AND MULTIPLICATIVE FILTER (2005) (5)
- Finsler spaces with the $h$-curvature tensor dependent on position alone (1999) (5)
- The line digraph of a regular and pancircular digraph is also regular and pancircular (1988) (5)
- Characterization of matrices B such that (I, B, B2) generates a digital net with t-value zero (2018) (5)
- Magnetic Compton-Profiles of Fe3Pt (2002) (5)
- Theory of extended point transformations of Finsler spaces. II : Fundamental theorems of projective motions (1988) (5)
- On Finsler spaces of Douglas type. IV. Projectively flat Kropina spaces (2000) (5)
- Difference between Galois representations in automorphism and outer-automorphism groups of a fundamental group (2011) (5)
- Corrigenda to “New primitive -nomials (=3,5) over (2) whose degree is a Mersenne exponent,” and some new primitive pentanomials (2002) (4)
- CRYPTMT VERSION 2.0: A LARGE STATE GENERATOR WITH FASTER INITIALIZATION (2006) (4)
- Linear transformations of Finsler connections (1963) (4)
- A p-adic algorithm for computing the inverse of integer matrices (2009) (4)
- Reduction theorems of certain Douglas spaces to Berwald spaces (2003) (4)
- On the imbedding of spherically symmetric space times (1963) (4)
- On the Special Riemann Spaces of Class Two (1950) (3)
- REDUCTION THEOREMS OF LANDSBERG SPACES WITH (α,β)-METRIC. (1997) (3)
- Connections in Finsler Spaces (1993) (3)
- Riemann Spaces of Recurrent and Separated Curvature and their Imbedding. (1952) (3)
- MERSENNE TWISTER AND FUBUKI STREAM / BLOCK CIPHER (2005) (3)
- The generalised susceptibility and joint density of states of BCC europium (1984) (3)
- Equations of geodesics in two-dimensional Finsler spaces with (α,β)-metric (1997) (3)
- On R. Sulanke’s method deriving H. Rund’s connection in a Finsler space (1965) (3)
- Density of states and isomer shift on the rare-earth metal europium (1983) (3)
- On $F$-connections and associated non-linear connections (1969) (3)
- ADDITION AND ERRATUM TO THE PAPER: SCALAR AND GRADIENT VECTOR FIELDS OF FINSLER SPACES AND HOLONOMY GROUPS OF NONLINEAR CONNECTIONS (1981) (3)
- On the Classification of Locally Hamming Distance-Regular Graphs (1991) (3)
- A Method to Compute an Appropriate Sample Size of a Two-Level Test for the NIST Test Suite (2016) (3)
- Compton profiles of aluminium corrected by the electron correlation effect (2000) (3)
- Approximation of Quasi-Monte Carlo worst case error in weighted spaces of infinitely times smooth functions (2016) (3)
- EQUATIONS OF GEODESIC IN TWO-DIMENSIONAL FINSLER SPACE WITH (α,β)-METRIC, II (1998) (2)
- Geometric Galois Actions: Galois group Gℚ, singularity E 7, and moduli M 3 (1997) (2)
- Spin Magnetic Form Factors of hcp Co (1998) (2)
- Theory of Magnetocrystalline Anisotropy (1991) (2)
- The theory of second-order differential equations based on Finsler geometry (2000) (2)
- Pseudo random number generators: attention for a newly proposed generator (2019) (2)
- Conformally Flat Riemann Spaces of Clase One (1951) (2)
- Conformal change of two-dimensional Finsler space and the curvature of one-form metric (1993) (2)
- The length and the relative length of tangent vectors of finsler spaces (1979) (2)
- Walsh Figure of Merit for Digital Nets: An Easy Measure for Higher Order Convergent QMC (2014) (2)
- A Non-empirical Test on the Second to the Sixth Least Significant Bits of Pseudorandom Number Generators (2013) (2)
- Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems (1998) (2)
- TinyMT32 Pseudorandom Number Generator (PRNG) (2020) (2)
- A generalization of Jaeger-Nomura's Bose Mesner algebra associated to type II matrices (1999) (2)
- The Dynamic Creation of Distributed Random Number Generators (1999) (1)
- Unveiling patterns in xorshift128+ pseudorandom number generators (2019) (1)
- Functoriality of Bose-Mesner algebras and profinite association schemes (2022) (1)
- ON THE CURVATURE TENSOR R;jkh OF C-REDUCIBLE FINSLER SPACES (2008) (1)
- ON THE CURVATURE TENSOR R;jkh OF C-REDUCIBLE FINSLER SPACES (2008) (1)
- Spin-Polarised Relativistic KKR. (1991) (1)
- A theorem for hypersurfaces of conformally flat space (1955) (1)
- RESTRUCTURING LIBRARY AND INFORMATION SCIENCE EDUCATION TOWARD KNOWLEDGE INFORMATICS EDUCATION: A CASE OF THE UNDERGRADUATE PROGRAM AT THE UNIVERSITY OF TSUKUBA (2009) (1)
- COMPUTING CONDITIONAL PROBABILITIES FOR F2-LINEAR PSEUDORANDOM BIT GENERATORS BY SPLITTING MACWILLIAMS IDENTITY (2007) (1)
- Determination of the second fundamental form of a hypersurface by its mean curvature (1959) (1)
- RANDMT: Octave function to produce random numbers via Mersenne twister (2000) (1)
- Theory of Finsler spaces and differential geometry of tangent bundles (1967) (1)
- On the 1953 Barthel connection of a Finsler space and its physical aspect (1993) (1)
- Intrinsic character of minimal hypersurfaces in flat spaces. (1957) (1)
- Non-existence and Construction of Pre-difference Sets, and Equi-Distributed Subsets in Association Schemes (2021) (1)
- A remarkable connection in a finsler space with (α,β)-metric (1989) (1)
- Lov\`{a}sz's hom-counting theorem by inclusion-exclusion principle (2022) (1)
- A Generator of H1(M1g; H1(Σg; Z)) and a Reflection Representation of the Mapping Class Groups via Iwahori-Hecke Algebras (2001) (1)
- Reconstruction of magnetic domain structure using the reverse Monte Carlo method with an extended Fourier image. (2015) (1)
- Local imbedding of Riemann spaces (1953) (1)
- Approximation of integration over finite groups, difference sets and association schemes (2019) (1)
- Compton profiles and nesting of Fermi surfaces for B2-TiNi and B2-TiPd (2012) (0)
- Introduction to the filtered Galois representation theory in $\pi_1(\mathbb{P}^1 - { 0, 1, \infty })^{pro-l}$(Moduli spaces, Galois representations and L-functions) (1994) (0)
- Showing and Telling in Illustrations of the Queen : Victorian Women's Periodicals (2008) (0)
- Introductory Geometrical Background (1993) (0)
- The class number of embedding of the space with projective connection (1952) (0)
- A relative theory of Finsler spaces (1983) (0)
- Relative Riemannian Geometry II. On the metric connections (1958) (0)
- CryptMT 3 Stream Cipher (0)
- 4. Moduli Spaces of Elliptic Curves (2014) (0)
- Special Finsler Spaces (1993) (0)
- Parallel Computations Reveal Hidden Errors of Commonly Used Random Number Generators (2006) (0)
- Some Applications of Bochner’s Method to Riemannian Manifolds. (1952) (0)
- CryptMT Stream Cipher Ver . 3 : Description ? (2007) (0)
- Practical fast algorithm for finite field arithmetics using group rings (2004) (0)
- $y$-Berwald spaces of dimension two and associated heterochronic systems (1995) (0)
- Generalization of Lichnerowicz’s theorem for a completely harmonic Riemannian space (1955) (0)
- Politeness in Othello and A Midsummer Night’s Dream (2020) (0)
- Contributions of the sound symbolism to acquisition of new word-meaning association (2019) (0)
- ON GEODESICS IN THE TANGENT SPACE OF A FINSLER SPACE (2008) (0)
- Affinely Connected Space of Class One (1951) (0)
- The Life of Woman represented in Antique Egyptian Paintings and Drawings (0)
- ON GEODESICS IN THE TANGENT SPACE OF A FINSLER SPACE (2008) (0)
- Wreath products and projective system of non Schurian association schemes (2022) (0)
- New inputs and methods for Markov chain (2010) (0)
- $S$-extensions of Riemannian spaces (1955) (0)
- FORCED MAGNETOSTRICTION OF MPt 3 AND MPd 3 (M = Cr, Mn, Co) (1971) (0)
- Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P 1 f 0 ; 1 ; 1 g (2003) (0)
- GALOIS ACTION ON THE FUNDAMENTAL GROUPS OF CURVES AND THE CYCLE $C-C^-$ (Communications in Arithmetic Fundamental Groups) (2002) (0)
- Application of finite projective space to replicated data management (2000) (0)
- A geometric meaning of a concept of isotropic Finsler spaces (1969) (0)
- Again, random numbers fall mainly in the planes: xorshift128+ generators (2019) (0)
- TWO-DIMENSIONAL FINSLER SPACES OF LOCALLY CONSTANT CONNECTION (1996) (0)
- Finsler planes with a generalization of Ingarden-Tamássy's parabolic metric (1992) (0)
- J an 2 01 8 Characterization of matrices B such that ( I , B , B 2 ) generates a digital net with t-value zero ∗ (2018) (0)
- A left translation preserving a Finsler connection invariant (2022) (0)
- Relative Riemannian Geometry I. On the affine connection (1958) (0)
- SELF-CONSISTENT BAND STRUCTURE, FERMI SURFACE, AND MAGNETIC ORDERING IN EUROPIUM (2020) (0)
- ON RANDERS SPACES OF CONSTANT CURVATURE OF RCG-TYPE AND RCT-TYPE (2002) (0)
- Introduction to the filtered Galois representation theory in (2018) (0)
- Practical Evolution of Bridging Analogies in Teaching Science : The case of the "World of Sound" unit in the first grade of lower secondary School (2005) (0)
- Differential-geometricpProperties of indicatrix bundle over Finsler space (2022) (0)
- A special class of spherically symmetric space-times and their imbeddings (1962) (0)
- On integral manifolds of an integrable nonlinear connection from the standpoint of the theory of Finsler connections (1991) (0)
- Homothetic transformations of randers spaces (1987) (0)
- Toward human-centered visual design based on sound symbolic information (2021) (0)
- [Studies on the antibody producing system of SL/Ni mouse--studies on SL/Ni mouse, an animal model of PN : III (author's transl)]. (1979) (0)
- Locally-finite extensive categories, their semi-rings, and decomposition to connected objects (2022) (0)
- Deviation of pseudorandom numbers and weight test (5th Workshop on Stochastic Numerics) (2001) (0)
- The differential geometry of spaces with analytic distances (1957) (0)
- Projective de Bruijn Sequences (2008) (0)
- 1A1-C1 How do prospective teachers of elementary schools feel about teaching science? : Based on statistical survey (2011) (0)
- Title On some extension of 1-spread sets (0)
- On conformal and projective flatness of two-dimensional constant-Berwald Finsler spaces in epidemiology (1995) (0)
- Galois representations in fundamental groups and their Lie algebras (2004) (0)
- A global foundation of Fins ler geometry (2008) (0)
- Measurements of time variation of cosmogenic 14**C from 2500-year-old tree rings (2001) (0)
- ON SOME EXTENSION OF I -SPREAD SETS (2007) (0)
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