Makoto Matsumoto

Q: What Schools Are Affiliated With Makoto Matsumoto

Makoto Matsumoto is affiliated with the following schools: Kyoto University, Hokkaido University, Hiroshima University, University of Tokyo, Keio University, University of Tsukuba, Nagoya University, Institute of Science Tokyo, Osaka University

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Makoto Matsumoto

Computer Science

#7028

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#7403

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Numerical Analysis

#37

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#40

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Makoto Matsumoto

Mathematics

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#9293

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Measure Theory

#1569

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#1946

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mathematics Degrees

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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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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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What Schools Are Affiliated With Makoto Matsumoto?

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