Tõru Nakamura

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All published works

Action	Title	Year	Authors
+	Nonstandard Analytical Construction of a Path Space Measure for the 4-D Dirac Equation	2020	Tõru Nakamura Keiji Watanabe Hiroshi Ezawa
+	Time Development of Explosion of Stochastic Process with Repulsive Drift of Polynomial Growth	2008	Tõru Nakamura Hiroshi Ezawa Keiji Watanabe Christopher C. Bernido M. Victoria Carpio-Bernido
+	Path-space measure for stochastic differential equation with a coefficient of polynomial growth	2007	Tõru Nakamura
+	Long-Time Average of Field Measured by an Ornstein–Uhlenbeck Wanderer	2006	Hiroshi Ezawa Tõru Nakamura Keiji Watanabe
+	Long-time Average of Field Measured by a Two-Dimensional Brownian Wanderer	2003	Hiroshi Ezawa Tõru Nakamura Keiji Watanabe Frederik W. Wiegel
+	Double Strata of Time for Construction of Path-Space Measure for Stochastic Differential Equations	2003	Tõru Nakamura
+ PDF Chat	Path space measure for the 3+1-dimensional Dirac equation in momentum space	2000	Tõru Nakamura
+	Path space measures for Dirac and Schrödinger equations: Nonstandard analytical approach	1997	Tõru Nakamura

Common Coauthors

Coauthor	Papers Together
Hiroshi Ezawa	4
Keiji Watanabe	2
Keiji Watanabe	2
Christopher C. Bernido	1
M. Victoria Carpio-Bernido	1
Frederik W. Wiegel	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A nonstandard representation of Feynman’s path integrals	1991	Touru Nakamura	3
+ PDF Chat	Conversion from nonstandard to standard measure spaces and applications in probability theory	1975	Peter A. Loeb	3
+	Path space measures for Dirac and Schrödinger equations: Nonstandard analytical approach	1997	Tõru Nakamura	2
+	A Family of Integrals Serving to Connect the Wiener and Feynman Integrals	1960	R. H. Cameron	2
+	A construction of the fundamental solution for the Schrödinger equation	1979	Daisuke Fujiwara	2
+ PDF Chat	Loeb completion of internal vector-valued measures.	1985	Rade T. Živaljević	2
+	Representation formulas of the Cauchy problem for hyperbolic systems generalizing Dirac system	1984	Bernard Gaveau	2
+ PDF Chat	Path integral for the Dirac equation in two space-time dimensions	1982	Takashi Ichinose	2
+	S. Ú. Maslov. Téoriá déduktivnyh sistém i éé priménéniá. Russian original of the preceding. Kibérnétika. Radio i Savz', Moscow 1986, 135 pp. - K. D. Stroyan and José Manuel Bayod. Foundations of infinitesimal stochastic analysis. Studies in logic and the foundations of mathematics, vol. 119. North-Holland, Amsterdam, New York, and Oxford, 1986, xii + 478 pp.	1988	Nigel J. Cutland	2
+ PDF Chat	Ergodic Property of the Brownian Motion Process	1953	G. Kallianpur Herbert Robbins	1
+	Long-time Average of Field Measured by a Two-Dimensional Brownian Wanderer	2003	Hiroshi Ezawa Tõru Nakamura Keiji Watanabe Frederik W. Wiegel	1
+ PDF Chat	Path Integral Approach to Relativistic Quantum Mechanics	1987	Takashi Ichinose Hiroshi Tamura	1
+	Feynman-Kac formula associated with a system of partial differential operators	1986	Hiroshi Watanabe	1
+	On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures	1960	Igor Vladimirovich Girsanov	1
+ PDF Chat	Path space measure for the 3+1-dimensional Dirac equation in momentum space	2000	Tõru Nakamura	1
+	Theory of probability	1939	Harold Jeffreys R. Bruce Lindsay	1
+ PDF Chat	On the boundary values of functions of several complex variables, I	1949	Antoni Zygmund	1
+	The Problem of Moments	1943	J. Shohat J. Tamarkin	1
+	Regular Variation	1987	Ν. H. Bingham Charles M. Goldie J. L. Teugels	1
+	An Introduction to Nonstandard Real Analysis	2011	Douglas N. Hoover	1
+ PDF Chat	Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory	1975	Peter A. Loeb	1
+	A Course in Probability Theory	1974	Kai Lai Chung	1
+	Nonstandard analysis applied to path integrals and generalized functions	1982	Steven M. Moore	1
+ PDF Chat	On Some Connections between Probability Theory and Differential and Integral Equations	1951	Mark Kac	1
+	Nonstandard Methods in Stochastic Analysis and Mathematical Physics	1986	Sergio Albeverio	1
+	The nonexistence of the path-space measure for the Dirac equation in four space-time dimensions	1989	Tomasz Zastawniak	1
+ PDF Chat	Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions	1986	C. Kipnis S. R. S. Varadhan	1
+ PDF Chat	On the product of semi-groups of operators	1959	H. F. Trotter	1
+	Feynman Integrals and the Schrödinger Equation	1964	Edward Nelson	1