Nobuaki Obata

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All published works

Action	Title	Year	Authors
+ PDF Chat	Quadratic Embedding Constants of Strongly Regular Graphs	2025	Nobuaki Obata
+	Quadratic Embedding Constants of Fan Graphs and Graph Joins	2025	Wojciech Młotkowski Nobuaki Obata
+ PDF Chat	Partial Chebyshev Polynomials and Fan Graphs	2024	Wojciech Młotkowski Nobuaki Obata
+	Quantum probability approach to spectral analysis of growing graphs	2024	Nobuaki Obata
+ PDF Chat	Meixner random variables and their quantum operators	2024	Nobuaki Obata Aurel I. Stan Hiroaki Yoshida
+ PDF Chat	Meixner random variables and their quantum operators	2024	Nobuaki Obata Aurel I. Stan Hiroaki Yoshida
+ PDF Chat	Quadratic embedding constants of fan graphs and graph joins	2024	Wojciech Młotkowski Nobuaki Obata
+ PDF Chat	Complete multipartite graphs of non-QE class	2023	Nobuaki Obata
+ PDF Chat	Primary Non-QE Graphs on Six Vertices	2023	Nobuaki Obata
+	A Classification of Graphs through Quadratic Embedding Constants and Clique Graph Insights	2023	Edy Tri Baskoro Nobuaki Obata
+ PDF Chat	Quadratic Embedding Constants of Graph Joins	2022	Zhenzhen Lou Nobuaki Obata Qiongxiang Huang
+	Primary Non-QE Graphs on Six Vertices	2022	Nobuaki Obata
+	Complete Multipartite Graphs of Non-QE Class	2022	Nobuaki Obata
+ PDF Chat	Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters	2021	Masoumeh Koohestani Nobuaki Obata Hajime Tanaka
+ PDF Chat	Determining finite connected graphs along the quadratic embedding constants of paths	2021	Edy Tri Baskoro Nobuaki Obata
+	Scaling limits for the Gibbs states on distance-regular graphs with classical parameters	2021	Masoumeh Koohestani Nobuaki Obata Hajime Tanaka
+ PDF Chat	On quadratic embedding constants of star product graphs	2020	Wojciech Młotkowski Nobuaki Obata
+	Quadratic Embedding Constants of Graph Joins	2020	Zhenzhen Lou Nobuaki Obata Qiongxiang Huang
+ PDF Chat	Asymptotic joint spectra of Cartesian powers of strongly regular graphs and bivariate Charlier–Hermite polynomials	2020	John Vincent S. Morales Nobuaki Obata Hajime Tanaka
+ PDF Chat	The Elements of Multi-Variate Analysis for Data Science	2020	Mohammad Samy Baladram Nobuaki Obata
+	Multivariate orthogonal polynomials: Quantum decomposition, deficiency rank and support of measure	2019	Ameur Dhahri Nobuaki Obata Hyun Jae Yoo
+	Determining Finite Connected Graphs Along the Quadratic Embedding Constants of Paths	2019	Edy Tri Baskoro Nobuaki Obata
+	Multivariate orthogonal polynomials: quantum decomposition, deficiency rank and support of measure	2018	Ameur Dhahri Nobuaki Obata Hyun Jae Yoo
+ PDF Chat	Distance matrices and quadratic embedding of graphs	2018	Nobuaki Obata Alfi Yusrotis Zakiyyah
+	On Quadratic Embedding Constants of Star Product Graphs	2018	Wojciech Młotkowski Nobuaki Obata
+	Multivariate orthogonal polynomials: quantum decomposition, deficiency rank and support of measure	2018	Ameur Dhahri Nobuaki Obata Hyun Jae Yoo
+	Spectra of Finite Graphs	2017	Nobuaki Obata
+	Spectral Analysis of Growing Graphs	2017	Nobuaki Obata
+	Orthogonal Polynomials and Fock Spaces	2017	Nobuaki Obata
+	Method of Quantum Decomposition	2017	Nobuaki Obata
+	Graphs and Matrices	2017	Nobuaki Obata
+	Spectral Distributions of Graphs	2017	Nobuaki Obata
+	Graph Products and Asymptotics	2017	Nobuaki Obata
+ PDF Chat	Quadratic Embedding Constants of Wheel Graphs	2017	Nobuaki Obata
+	An implementation problem for boson fields and quantum Girsanov transform	2016	Un Cig Ji Nobuaki Obata
+ PDF Chat	Quantum Probability Aspects to Lexicographic and Strong Products of Graphs	2016	Nobuaki Obata
+	Kronecker Product Graphs and Counting Walks in Restricted Lattices	2016	Hun Hee Lee Nobuaki Obata
+	The Karlin-McGregor formula for paths connected with a clique	2013	Nobuaki Obata
+ PDF Chat	Localization of the Grover Walks on Spidernets and Free Meixner Laws	2013	Norio Konno Nobuaki Obata Etsuo Segawa
+ PDF Chat	DISTANCE-k GRAPHS OF HYPERCUBE AND q-HERMITE POLYNOMIALS	2013	Hun Hee Lee Nobuaki Obata
+ PDF Chat	Calculating Normal-Ordered Forms in Fock Space by Quantum White Noise Derivatives	2013	Un Cig Ji Nobuaki Obata
+	Asymptotic Spectral Distributions of Distance $k$-Graphs of Cartesian Product Graphs	2013	Yuji Hibino Hun Hee Lee Nobuaki Obata
+ PDF Chat	Asymptotic spectral distributions of distance-k graphs of Cartesian product graphs	2013	Yuji Hibino Hun Hee Lee Nobuaki Obata
+	Manhattan Products of Digraphs‎: ‎Characteristic Polynomials and Examples	2012	Nobuaki Obata
+ PDF Chat	Spectra of Manhattan Products of Directed Paths Pn#P2	2012	Nobuaki Obata
+	Distance k-graphs of hypercube and q-Hermite polynomials	2012	Hun Hee Lee Nobuaki Obata
+	A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS	2011	Nobuaki Obata Habib Ouerdiane
+	One-mode interacting Fock spaces and random walks on graphs	2011	Nobuaki Obata
+ PDF Chat	Markov product of positive definite kernels and applications to Q-matrices of graph products	2011	Nobuaki Obata
+ PDF Chat	Asymptotic spectral distributions of distance \boldsymbol k-graphs of large-dimensional hypercubes	2011	Nobuaki Obata
+	Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives	2010	Un Cig Ji Nobuaki Obata
+	QUANTUM WHITE NOISE DERIVATIVES AND ASSOCIATED DIFFERENTIAL EQUATIONS FOR WHITE NOISE OPERATORS	2010	Un Cig Ji Nobuaki Obata
+	Spectral Properties of the Threshold Network Model	2010	Yusuke Ide Norio Konno Nobuaki Obata
+	Quantum stochastic integral representations of Fock space operators	2009	Un Cig Ji Nobuaki Obata
+ PDF Chat	Spectral Properties of the Threshold Network Model	2009	Yusuke Ide Norio Konno Nobuaki Obata
+ PDF Chat	Quantum Stochastic Gradients	2009	Un Cig Ji Nobuaki Obata
+	Annihilation-Derivative, Creation-Derivative and Representation of Quantum Martingales	2008	Un Cig Ji Nobuaki Obata
+	Notions of independence in quantum probability and spectral analysis of graphs	2008	Nobuaki Obata
+	Asymptotic spectral analysis of growing regular graphs	2007	Akihito Hora Nobuaki Obata
+	Comb Graphs and Star Graphs	2007	Akihito Hora Nobuaki Obata
+	Distance-Regular Graphs	2007	Akihito Hora Nobuaki Obata
+	Central Limit Theorem for the Plancherel Measures of the Symmetric Groups	2007	Akihito Hora Nobuaki Obata
+	Quantum Probability and Orthogonal Polynomials	2007	Akihito Hora Nobuaki Obata
+	Homogeneous Trees	2007	Akihito Hora Nobuaki Obata
+	Johnson Graphs	2007	Akihito Hora Nobuaki Obata
+	Hamming Graphs	2007	Akihito Hora Nobuaki Obata
+	Adjacency Matrices	2007	Akihito Hora Nobuaki Obata
+	Regular Graphs	2007	Akihito Hora Nobuaki Obata
+	Deformation of Kerov's Central Limit Theorem	2007	Akihito Hora Nobuaki Obata
+	Hitsuda-Skorohod Quantum Stochastic Integrals in Terms of Quantum Stochastic Gradients(Micro-Macro Duality in Quantum Analysis)	2007	Un Cig Ji Nobuaki Obata
+	Quantum Lévy Laplacian and associated heat equation	2007	Un Cig Ji Nobuaki Obata Habib Ouerdiane
+	PARTIAL UNITARITY ARISING FROM QUADRATIC QUANTUM WHITE NOISE	2007	Wided Ayed Nobuaki Obata Habib Ouerdiane
+ PDF Chat	Positive Q-matrices of graphs	2007	Nobuaki Obata
+	Asymptotic spectral analysis of generalized Erdős–Rényi random graphs	2007	Song Liang Nobuaki Obata Shuji Takahashi
+	AN INTERACTING FOCK SPACE WITH PERIODIC JACOBI PARAMETER OBTAINED FROM REGULAR GRAPHS IN LARGE SCALE LIMIT	2006	Akihito Hora Nobuaki Obata
+	Asymptotic spectral analysis of growing graphs: odd graphs and spidernets	2006	Daisuke Igarashi Nobuaki Obata
+	ADMISSIBLE WHITE NOISE OPERATORS AND THEIR QUANTUM WHITE NOISE DERIVATIVES	2005	Un Cig Ji Nobuaki Obata
+ PDF Chat	MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSE–EINSTEIN CONDENSATION	2004	Luigi Accardi Anis Ben Ghorbal Nobuaki Obata
+ PDF Chat	A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space	2004	Un Cig Ji Nobuaki Obata
+ PDF Chat	Quantum Probabilistic Approach to Spectral Analysis of Star Graphs	2004	Nobuaki Obata
+	Heat Equation Associated with Lévy Laplacian	2004	Nobuaki Obata Habib Ouerdiane
+	A Unified Characterization Theorem in White Noise Theory	2003	Un Cig Ji Nobuaki Obata
+	QUANTUM DECOMPOSITION AND QUANTUM CENTRAL LIMIT THEOREM	2003	Akihito Hora Nobuaki Obata
+	Central limit theorems for large graphs: Method of quantum decomposition	2002	Yukihiro Hashimoto Akihito Hora Nobuaki Obata
+	ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION	2002	Un Cig Ji Nobuaki Obata Habib Ouerdiane
+	Quantum White Noise Calculus Based on Nuclear Algebras of Entire Functions (Trends in Infinite Dimensional Analysis and Quantum Probability)	2002	Nobuaki Obata
+	Segal-Bargmann Transform of White Noise Operators and White Noise Differential Equations (Analytical Study of Quantum Information and Related Fields)	2002	Un Cig Ji Nobuaki Obata
+	QUANTUM STOCHASTIC ANALYSIS VIA WHITE NOISE OPERATORS IN WEIGHTED FOCK SPACE	2002	Dong Myung Chung Un Cig Ji Nobuaki Obata
+	White Noise Analysis Based on the Levy Laplacian (Infinite Dimensional Analysis and Quantum Probability Theory)	2001	Hui-Hsiung Kuo Nobuaki Obata Kimiaki Saitô
+	A QUANTUM ASPECT OF ASYMPTOTIC SPECTRAL ANALYSIS OF LARGE HAMMING GRAPHS	2001	Yukihiro Hashimoto Nobuaki Obata NOBUYUKI TABEI
+	Transformations for White Noise Functionals	2001	Takeyuki Hida Hui-Hsiung Kuo Nobuaki Obata
+	A Note on Coherent State Representations of White Noise Operators	2000	Nobuaki Obata
+	Normal-ordered white noise differential equations. II: Regularity properties of solutions	1999	Dong Myung Chung Un Cig Ji Nobuaki Obata
+	Wick product of white noise operators and quantum stochastic differential equations	1999	Nobuaki Obata
+	Some New Trends and Questions in White Noise Calculus (Development of Infinite-Dimensional Noncommutative Analysis)	1999	Nobuaki Obata
+ PDF Chat	Notions of Independence Related to the Free Group	1998	Luigi Accardi Yukihiro Hashimoto Nobuaki Obata
+	Notions of independence related to free groups II: from Singleton Condition to Singleton Independence(Recent Trends in Infinite Dimensional Non-Commutative Analysis)	1998	Luigi Accardi Yukihiro Hashimoto Nobuaki Obata
+	A Note on Transformations on White Noise Functions -Hida's Whiskers Revisited-(Recent Trends in Infinite Dimensional Non-Commutative Analysis)	1998	Nobuaki Obata
+ PDF Chat	Transformations on white noise functions associated with second order differential operators of diagonal type	1998	Dong Myung Chung Un Cig Ji Nobuaki Obata
+	A role of singletons in quantum central limit theorems	1998	Luigi Accardi Yukihiro Hashimoto Nobuaki Obata
+ PDF Chat	Singleton independence	1998	Luigi Accardi Yukihiro Hashimoto Nobuaki Obata
+	Quantum stochastic differential equations in terms of quantum white noise	1997	Nobuaki Obata
+	Constructing one-parameter transformations on white noise functions in terms of equicontinuous generators	1997	Nobuaki Obata
+	Generalization of Integral Kernel Operators	1997	Nobuaki Obata
+	None	1997	Nobuaki Obata
+ PDF Chat	Generalized hypergroups and orthogonal polynomials	1996	Nobuaki Obata N. J. Wildberger
+ PDF Chat	Derivations on white noise functionals	1995	Nobuaki Obata
+ PDF Chat	Generalized Quantum Stochastic Processes on Fock Space	1995	Nobuaki Obata
+ PDF Chat	White Noise Calculus and Fock Space	1994	Nobuaki Obata
+	Operator theory	1994	Nobuaki Obata
+	Toward Harmonic Analysis on Gaussian Space(Problems on structure and representations of Lie groups)	1993	Nobuaki Obata
+ PDF Chat	An analytic characterization of symbols of operators on white noise functionals	1993	Nobuaki Obata
+ PDF Chat	White noise delta functions and continuous version theorem	1993	Nobuaki Obata
+	Transformations for White Noise Functionals	1993	Tetsuro Hida Hui-Hsiung Kuo Nobuaki Obata
+ PDF Chat	Infinite dimensional rotations and Laplacians in terms of white noise calculus	1992	Takeyuki Hida Nobuaki Obata Kimiaki Saitô
+	Rotation-invariant operators on white noise functionals	1992	Nobuaki Obata
+ PDF Chat	Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences	1991	Martin Blümlinger Nobuaki Obata
+	Isometric Operators on L1-Algebras of Hypergroups	1991	Nobuaki Obata
+	Lévy Laplacian of generalized functions on a nuclear space	1990	Hui-Hsiung Kuo Nobuaki Obata Kimiaki Saitô
+ PDF Chat	Construction of irreducible unitary representations of amalgams of discrete abelian groups	1990	Nobuaki Obata
+ PDF Chat	A characterization of the Lévy Laplacian in terms of infinite dimensional rotation groups	1990	Nobuaki Obata
+	Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible representations	1990	Nobuaki Obata
+	Some remarks on induced representations of infinite discrete groups	1989	Nobuaki Obata
+	The Levy Laplacian and mean value theorem	1989	Nobuaki Obata
+	Density of natural numbers and the Lévy group	1988	Nobuaki Obata
+ PDF Chat	A note on certain permutation groups in the infinite dimensional rotation group	1988	Nobuaki Obata
+	Harmonic functions on Hilbert space and the Levy Laplacian	1988	Nobuaki Obata
+ PDF Chat	Certain unitary representations of the infinite symmetric group, II	1987	Nobuaki Obata
+ PDF Chat	Certain Unitary Representations of the Infinite Symmetric Group, I	1987	Nobuaki Obata
+	Configuration Space and Unitary Representations of the Group of Diffeomorphisms	1987	Nobuaki Obata
+	Unitary representations of the infinite symmetric group	1985	Nobuaki Obata

Common Coauthors

Coauthor	Papers Together
Un Cig Ji	17
Akihito Hora	14
Yukihiro Hashimoto	6
Wojciech Młotkowski	5
Luigi Accardi	5
Habib Ouerdiane	5
Hun Hee Lee	5
Hui-Hsiung Kuo	4
Kimiaki Saitô	3
Edy Tri Baskoro	3
Hajime Tanaka	3
Hyun Jae Yoo	3
Dong Myung Chung	3
Ameur Dhahri	3
Norio Konno	3
Aurel I. Stan	2
Yuji Hibino	2
Yusuke Ide	2
Masoumeh Koohestani	2
Zhenzhen Lou	2
Qiongxiang Huang	2
Hiroaki Yoshida	2
Takeyuki Hida	2
N. J. Wildberger	1
Shuji Takahashi	1
NOBUYUKI TABEI	1
Wided Ayed	1
Alfi Yusrotis Zakiyyah	1
Mohammad Samy Baladram	1
John Vincent S. Morales	1
Daisuke Igarashi	1
Song Liang	1
Martin Blümlinger	1
Etsuo Segawa	1
Tetsuro Hida	1
Anis Ben Ghorbal	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Quantum Probability and Spectral Analysis of Graphs	2007	Akihito Hora 伸明尾畑	22
+ PDF Chat	White Noise Calculus and Fock Space	1994	Nobuaki Obata	19
+ PDF Chat	An analytic characterization of symbols of operators on white noise functionals	1993	Nobuaki Obata	14
+	QUANTUM STOCHASTIC ANALYSIS VIA WHITE NOISE OPERATORS IN WEIGHTED FOCK SPACE	2002	Dong Myung Chung Un Cig Ji Nobuaki Obata	14
+ PDF Chat	Quantum Probability for Probabilists	1993	Paul-André Meyer	13
+ PDF Chat	Quantum Ito's formula and stochastic evolutions	1984	R. L. Hudson K. R. Parthasarathy	11
+	Central Limit Theorems and Asymptotic Spectral Analysis on Large Graphs	1998	Akihito Hora	11
+	A QUANTUM ASPECT OF ASYMPTOTIC SPECTRAL ANALYSIS OF LARGE HAMMING GRAPHS	2001	Yukihiro Hashimoto Nobuaki Obata NOBUYUKI TABEI	10
+ PDF Chat	Positive-definite kernels, length functions on groups and a noncommutative von Neumann inequality	1989	Marek Bożejko	9
+	Euclidean graph distance matrices of generalizations of the star graph	2014	Gašper Jaklič Jolanda Modic	9
+ PDF Chat	Infinite dimensional rotations and Laplacians in terms of white noise calculus	1992	Takeyuki Hida Nobuaki Obata Kimiaki Saitô	9
+	Central limit theorems for large graphs: Method of quantum decomposition	2002	Yukihiro Hashimoto Akihito Hora Nobuaki Obata	8
+	Topological vector spaces, distributions and kernels	2006	François Trèves	8
+ PDF Chat	On Euclidean distance matrices of graphs	2013	Gašper Jaklič Jolanda Modic	8
+	An example of a non nuclearC *-algebra, which has the metric approximation property	1978	Uffe Haagerup	8
+ PDF Chat	Euclidean Distance Geometry and Applications	2014	Leo Liberti Carlile Lavor Nelson Maculan Antonio Mucherino	8
+ PDF Chat	Distance matrices and quadratic embedding of graphs	2018	Nobuaki Obata Alfi Yusrotis Zakiyyah	8
+	On Euclidean distance matrices	2006	R. Balaji R.B. Bapat	8
+ PDF Chat	Generalized Quantum Stochastic Processes on Fock Space	1995	Nobuaki Obata	7
+ PDF Chat	Interacting Fock Spaces and Gaussianization of Probability Measures	1998	Luigi Accardi Marek Bożejko	7
+	Free Random Variables	1992	Dan Voiculescu Kenneth J. Dykema Alexandru Nica	7
+	Kernels and symbols of operators in quantum field theory	1978	Paul Krée R. Ra̧czka	7
+ PDF Chat	A quantum nonadapted Ito formula and stochastic analysis in Fock scale	1991	V. P. Belavkin	7
+	QUANTUM DECOMPOSITION IN DISCRETE GROUPS AND INTERACTING FOCK SPACES	2001	Yukihiro Hashimoto	7
+	None	1997	Nobuaki Obata	7
+ PDF Chat	Gibbs state on a distance-regular graph and its application to a scaling limit of the spectral distributions of discrete Laplacians	2000	Akihito Hora	7
+ PDF Chat	Quantum white noises—White noise approach to quantum stochastic calculus	1993	Zhiyuan Huang	7
+ PDF Chat	Quadratic Embedding Constants of Wheel Graphs	2017	Nobuaki Obata	7
+	Asymptotic spectral analysis of growing regular graphs	2007	Akihito Hora Nobuaki Obata	6
+	Transformations for White Noise Functionals	1993	Tetsuro Hida Hui-Hsiung Kuo Nobuaki Obata	6
+	Lévy Laplacian of generalized functions on a nuclear space	1990	Hui-Hsiung Kuo Nobuaki Obata Kimiaki Saitô	6
+	General characterization theorems and intrinsic topologies in white noise analysis	2001	Nobuhiro Asai Izumi Kubo Hui-Hsiung Kuo	6
+ PDF Chat	Quantum and non-causal stochastic calculus	1993	J. Martin Lindsay	6
+ PDF Chat	A characterization of the Lévy Laplacian in terms of infinite dimensional rotation groups	1990	Nobuaki Obata	6
+	Un théorème de dualité entre espaces de fonctions holomorphes à croissance exponentielle	2000	R. Gannoun R. Hachaichi Habib Ouerdiane Anis Rezgui	6
+ PDF Chat	Transforms on white noise functionals with their applications to Cauchy problems	1997	Dong Myung Chung Un Cig Ji	6
+ PDF Chat	Quantum Stochastic Gradients	2009	Un Cig Ji Nobuaki Obata	6
+	Annihilation-Derivative, Creation-Derivative and Representation of Quantum Martingales	2008	Un Cig Ji Nobuaki Obata	6
+ PDF Chat	On quadratic embedding constants of star product graphs	2020	Wojciech Młotkowski Nobuaki Obata	6
+	Symmetric random walks on groups	1959	Harry Kesten	5
+	Remarks to Maurice Frechet's Article ``Sur La Definition Axiomatique D'Une Classe D'Espace Distances Vectoriellement Applicable Sur L'Espace De Hilbert	1935	I. J. Schoenberg	5
+	Central Limit Theorem for the Adjacency Operators on the Infinite Symmetric Group	1998	Akihito Hora	5
+	Potential theory on Hilbert space	1967	Leonard Gross	5
+	Spectra of Graphs	2011	Andries E. Brouwer Willem H. Haemers	5
+ PDF Chat	Metric spaces and positive definite functions	1938	I. J. Schoenberg	5
+	Wick product of white noise operators and quantum stochastic differential equations	1999	Nobuaki Obata	5
+ PDF Chat	Quantum Probabilistic Approach to Spectral Analysis of Star Graphs	2004	Nobuaki Obata	5
+	Quantum stochastic integral representations of Fock space operators	2009	Un Cig Ji Nobuaki Obata	5
+	Distance spectra of graphs: A survey	2014	Mustapha Aouchiche Pierre Hansen	5
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift	5